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keras-io/examples/keras_recipes/debugging_tips.py at master · keras-team/keras-io · GitHub
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Keras debugging tips","Author: [fchollet](https://twitter.com/fchollet)","Date created: 2020/05/16","Last modified: 2023/11/16","Description: Four simple tips to help you debug your Keras code.","Accelerator: GPU","\"\"\"","","\"\"\"","## Introduction","","It's generally possible to do almost anything in Keras *without writing code* per se:","whether you're implementing a new type of GAN or the latest convnet architecture for","image segmentation, you can usually stick to calling built-in methods. Because all","built-in methods do extensive input validation checks, you will have little to no","debugging to do. A Functional API model made entirely of built-in layers will work on","first try -- if you can compile it, it will run.","","However, sometimes, you will need to dive deeper and write your own code. Here are some","common examples:","","- Creating a new `Layer` subclass.","- Creating a custom `Metric` subclass.","- Implementing a custom `train_step` on a `Model`.","","This document provides a few simple tips to help you navigate debugging in these","situations.","","\"\"\"","","\"\"\"","## Tip 1: test each part before you test the whole","","If you've created any object that has a chance of not working as expected, don't just","drop it in your end-to-end process and watch sparks fly. Rather, test your custom object","in isolation first. This may seem obvious -- but you'd be surprised how often people","don't start with this.","","- If you write a custom layer, don't call `fit()` on your entire model just yet. Call","your layer on some test data first.","- If you write a custom metric, start by printing its output for some reference inputs.","","Here's a simple example. Let's write a custom layer a bug in it:","","\"\"\"","","import os","","# The last example uses tf.GradientTape and thus requires TensorFlow.","# However, all tips here are applicable with all backends.","os.environ[\"KERAS_BACKEND\"] = \"tensorflow\"","","import keras","from keras import layers","from keras import ops","import numpy as np","import tensorflow as tf","","","class MyAntirectifier(layers.Layer):"," def build(self, input_shape):"," output_dim = input_shape[-1]"," self.kernel = self.add_weight("," shape=(output_dim * 2, output_dim),"," initializer=\"he_normal\","," name=\"kernel\","," trainable=True,"," )",""," def call(self, inputs):"," # Take the positive part of the input"," pos = ops.relu(inputs)"," # Take the negative part of the input"," neg = ops.relu(-inputs)"," # Concatenate the positive and negative parts"," concatenated = ops.concatenate([pos, neg], axis=0)"," # Project the concatenation down to the same dimensionality as the input"," return ops.matmul(concatenated, self.kernel)","","","\"\"\"","Now, rather than using it in a end-to-end model directly, let's try to call the layer on","some test data:","","```python","x = tf.random.normal(shape=(2, 5))","y = MyAntirectifier()(x)","```","","We get the following error:","","```","..."," 1 x = tf.random.normal(shape=(2, 5))","----\u003e 2 y = MyAntirectifier()(x)","..."," 17 neg = tf.nn.relu(-inputs)"," 18 concatenated = tf.concat([pos, neg], axis=0)","---\u003e 19 return tf.matmul(concatenated, self.kernel)","...","InvalidArgumentError: Matrix size-incompatible: In[0]: [4,5], In[1]: [10,5] [Op:MatMul]","```","","Looks like our input tensor in the `matmul` op may have an incorrect shape.","Let's add a print statement to check the actual shapes:","","\"\"\"","","","class MyAntirectifier(layers.Layer):"," def build(self, input_shape):"," output_dim = input_shape[-1]"," self.kernel = self.add_weight("," shape=(output_dim * 2, output_dim),"," initializer=\"he_normal\","," name=\"kernel\","," trainable=True,"," )",""," def call(self, inputs):"," pos = ops.relu(inputs)"," neg = ops.relu(-inputs)"," print(\"pos.shape:\", pos.shape)"," print(\"neg.shape:\", neg.shape)"," concatenated = ops.concatenate([pos, neg], axis=0)"," print(\"concatenated.shape:\", concatenated.shape)"," print(\"kernel.shape:\", self.kernel.shape)"," return ops.matmul(concatenated, self.kernel)","","","\"\"\"","We get the following:","","```","pos.shape: (2, 5)","neg.shape: (2, 5)","concatenated.shape: (4, 5)","kernel.shape: (10, 5)","```","","Turns out we had the wrong axis for the `concat` op! We should be concatenating `neg` and","`pos` alongside the feature axis 1, not the batch axis 0. Here's the correct version:","\"\"\"","","","class MyAntirectifier(layers.Layer):"," def build(self, input_shape):"," output_dim = input_shape[-1]"," self.kernel = self.add_weight("," shape=(output_dim * 2, output_dim),"," initializer=\"he_normal\","," name=\"kernel\","," trainable=True,"," )",""," def call(self, inputs):"," pos = ops.relu(inputs)"," neg = ops.relu(-inputs)"," print(\"pos.shape:\", pos.shape)"," print(\"neg.shape:\", neg.shape)"," concatenated = ops.concatenate([pos, neg], axis=1)"," print(\"concatenated.shape:\", concatenated.shape)"," print(\"kernel.shape:\", self.kernel.shape)"," return ops.matmul(concatenated, self.kernel)","","","\"\"\"","Now our code works fine:","\"\"\"","","x = keras.random.normal(shape=(2, 5))","y = MyAntirectifier()(x)","","\"\"\"","## Tip 2: use `model.summary()` and `plot_model()` to check layer output shapes","","If you're working with complex network topologies, you're going to need a way","to visualize how your layers are connected and how they transform the data that passes","through them.","","Here's an example. Consider this model with three inputs and two outputs (lifted from the","[Functional API guide](https://keras.io/guides/functional_api/#manipulate-complex-graph-topologies)):","","\"\"\"","","num_tags = 12 # Number of unique issue tags","num_words = 10000 # Size of vocabulary obtained when preprocessing text data","num_departments = 4 # Number of departments for predictions","","title_input = keras.Input("," shape=(None,), name=\"title\"",") # Variable-length sequence of ints","body_input = keras.Input(shape=(None,), name=\"body\") # Variable-length sequence of ints","tags_input = keras.Input("," shape=(num_tags,), name=\"tags\"",") # Binary vectors of size `num_tags`","","# Embed each word in the title into a 64-dimensional vector","title_features = layers.Embedding(num_words, 64)(title_input)","# Embed each word in the text into a 64-dimensional vector","body_features = layers.Embedding(num_words, 64)(body_input)","","# Reduce sequence of embedded words in the title into a single 128-dimensional vector","title_features = layers.LSTM(128)(title_features)","# Reduce sequence of embedded words in the body into a single 32-dimensional vector","body_features = layers.LSTM(32)(body_features)","","# Merge all available features into a single large vector via concatenation","x = layers.concatenate([title_features, body_features, tags_input])","","# Stick a logistic regression for priority prediction on top of the features","priority_pred = layers.Dense(1, name=\"priority\")(x)","# Stick a department classifier on top of the features","department_pred = layers.Dense(num_departments, name=\"department\")(x)","","# Instantiate an end-to-end model predicting both priority and department","model = keras.Model("," inputs=[title_input, body_input, tags_input],"," outputs=[priority_pred, department_pred],",")","","\"\"\"","Calling `summary()` can help you check the output shape of each layer:","\"\"\"","","model.summary()","","\"\"\"","You can also visualize the entire network topology alongside output shapes using","`plot_model`:","\"\"\"","","keras.utils.plot_model(model, show_shapes=True)","","\"\"\"","With this plot, any connectivity-level error becomes immediately obvious.","\"\"\"","","\"\"\"","## Tip 3: to debug what happens during `fit()`, use `run_eagerly=True`","","The `fit()` method is fast: it runs a well-optimized, fully-compiled computation graph.","That's great for performance, but it also means that the code you're executing isn't the","Python code you've written. This can be problematic when debugging. As you may recall,","Python is slow -- so we use it as a staging language, not as an execution language.","","Thankfully, there's an easy way to run your code in \"debug mode\", fully eagerly:","pass `run_eagerly=True` to `compile()`. Your call to `fit()` will now get executed line","by line, without any optimization. It's slower, but it makes it possible to print the","value of intermediate tensors, or to use a Python debugger. Great for debugging.","","Here's a basic example: let's write a really simple model with a custom `train_step()` method.","Our model just implements gradient descent, but instead of first-order gradients,","it uses a combination of first-order and second-order gradients. Pretty simple so far.","","Can you spot what we're doing wrong?","\"\"\"","","","class MyModel(keras.Model):"," def train_step(self, data):"," inputs, targets = data"," trainable_vars = self.trainable_variables"," with tf.GradientTape() as tape2:"," with tf.GradientTape() as tape1:"," y_pred = self(inputs, training=True) # Forward pass"," # Compute the loss value"," # (the loss function is configured in `compile()`)"," loss = self.compute_loss(y=targets, y_pred=y_pred)"," # Compute first-order gradients"," dl_dw = tape1.gradient(loss, trainable_vars)"," # Compute second-order gradients"," d2l_dw2 = tape2.gradient(dl_dw, trainable_vars)",""," # Combine first-order and second-order gradients"," grads = [0.5 * w1 + 0.5 * w2 for (w1, w2) in zip(d2l_dw2, dl_dw)]",""," # Update weights"," self.optimizer.apply_gradients(zip(grads, trainable_vars))",""," # Update metrics (includes the metric that tracks the loss)"," for metric in self.metrics:"," if metric.name == \"loss\":"," metric.update_state(loss)"," else:"," metric.update_state(targets, y_pred)",""," # Return a dict mapping metric names to current value"," return {m.name: m.result() for m in self.metrics}","","","\"\"\"","Let's train a one-layer model on MNIST with this custom loss function.","","We pick, somewhat at random, a batch size of 1024 and a learning rate of 0.1. The general","idea being to use larger batches and a larger learning rate than usual, since our","\"improved\" gradients should lead us to quicker convergence.","\"\"\"","","","# Construct an instance of MyModel","def get_model():"," inputs = keras.Input(shape=(784,))"," intermediate = layers.Dense(256, activation=\"relu\")(inputs)"," outputs = layers.Dense(10, activation=\"softmax\")(intermediate)"," model = MyModel(inputs, outputs)"," return model","","","# Prepare data","(x_train, y_train), _ = keras.datasets.mnist.load_data()","x_train = np.reshape(x_train, (-1, 784)) / 255","","model = get_model()","model.compile("," optimizer=keras.optimizers.SGD(learning_rate=1e-2),"," loss=\"sparse_categorical_crossentropy\",",")","model.fit(x_train, y_train, epochs=3, batch_size=1024, validation_split=0.1)","","\"\"\"","Oh no, it doesn't converge! Something is not working as planned.","","Time for some step-by-step printing of what's going on with our gradients.","","We add various `print` statements in the `train_step` method, and we make sure to pass","`run_eagerly=True` to `compile()` to run our code step-by-step, eagerly.","\"\"\"","","","class MyModel(keras.Model):"," def train_step(self, data):"," print()"," print(\"----Start of step: %d\" % (self.step_counter,))"," self.step_counter += 1",""," inputs, targets = data"," trainable_vars = self.trainable_variables"," with tf.GradientTape() as tape2:"," with tf.GradientTape() as tape1:"," y_pred = self(inputs, training=True) # Forward pass"," # Compute the loss value"," # (the loss function is configured in `compile()`)"," loss = self.compute_loss(y=targets, y_pred=y_pred)"," # Compute first-order gradients"," dl_dw = tape1.gradient(loss, trainable_vars)"," # Compute second-order gradients"," d2l_dw2 = tape2.gradient(dl_dw, trainable_vars)",""," print(\"Max of dl_dw[0]: %.4f\" % tf.reduce_max(dl_dw[0]))"," print(\"Min of dl_dw[0]: %.4f\" % tf.reduce_min(dl_dw[0]))"," print(\"Mean of dl_dw[0]: %.4f\" % tf.reduce_mean(dl_dw[0]))"," print(\"-\")"," print(\"Max of d2l_dw2[0]: %.4f\" % tf.reduce_max(d2l_dw2[0]))"," print(\"Min of d2l_dw2[0]: %.4f\" % tf.reduce_min(d2l_dw2[0]))"," print(\"Mean of d2l_dw2[0]: %.4f\" % tf.reduce_mean(d2l_dw2[0]))",""," # Combine first-order and second-order gradients"," grads = [0.5 * w1 + 0.5 * w2 for (w1, w2) in zip(d2l_dw2, dl_dw)]",""," # Update weights"," self.optimizer.apply_gradients(zip(grads, trainable_vars))",""," # Update metrics (includes the metric that tracks the loss)"," for metric in self.metrics:"," if metric.name == \"loss\":"," metric.update_state(loss)"," else:"," metric.update_state(targets, y_pred)",""," # Return a dict mapping metric names to current value"," return {m.name: m.result() for m in self.metrics}","","","model = get_model()","model.compile("," optimizer=keras.optimizers.SGD(learning_rate=1e-2),"," loss=\"sparse_categorical_crossentropy\","," metrics=[\"sparse_categorical_accuracy\"],"," run_eagerly=True,",")","model.step_counter = 0","# We pass epochs=1 and steps_per_epoch=10 to only run 10 steps of training.","model.fit(x_train, y_train, epochs=1, batch_size=1024, verbose=0, steps_per_epoch=10)","","\"\"\"","What did we learn?","","- The first order and second order gradients can have values that differ by orders of","magnitudes.","- Sometimes, they may not even have the same sign.","- Their values can vary greatly at each step.","","This leads us to an obvious idea: let's normalize the gradients before combining them.","\"\"\"","","","class MyModel(keras.Model):"," def train_step(self, data):"," inputs, targets = data"," trainable_vars = self.trainable_variables"," with tf.GradientTape() as tape2:"," with tf.GradientTape() as tape1:"," y_pred = self(inputs, training=True) # Forward pass"," # Compute the loss value"," # (the loss function is configured in `compile()`)"," loss = self.compute_loss(y=targets, y_pred=y_pred)"," # Compute first-order gradients"," dl_dw = tape1.gradient(loss, trainable_vars)"," # Compute second-order gradients"," d2l_dw2 = tape2.gradient(dl_dw, trainable_vars)",""," dl_dw = [tf.math.l2_normalize(w) for w in dl_dw]"," d2l_dw2 = [tf.math.l2_normalize(w) for w in d2l_dw2]",""," # Combine first-order and second-order gradients"," grads = [0.5 * w1 + 0.5 * w2 for (w1, w2) in zip(d2l_dw2, dl_dw)]",""," # Update weights"," self.optimizer.apply_gradients(zip(grads, trainable_vars))",""," # Update metrics (includes the metric that tracks the loss)"," for metric in self.metrics:"," if metric.name == \"loss\":"," metric.update_state(loss)"," else:"," metric.update_state(targets, y_pred)",""," # Return a dict mapping metric names to current value"," return {m.name: m.result() for m in self.metrics}","","","model = get_model()","model.compile("," optimizer=keras.optimizers.SGD(learning_rate=1e-2),"," loss=\"sparse_categorical_crossentropy\","," metrics=[\"sparse_categorical_accuracy\"],",")","model.fit(x_train, y_train, epochs=5, batch_size=1024, validation_split=0.1)","","\"\"\"","Now, training converges! It doesn't work well at all, but at least the model learns","something.","","After spending a few minutes tuning parameters, we get to the following configuration","that works somewhat well (achieves 97% validation accuracy and seems reasonably robust to","overfitting):","","- Use `0.2 * w1 + 0.8 * w2` for combining gradients.","- Use a learning rate that decays linearly over time.","","I'm not going to say that the idea works -- this isn't at all how you're supposed to do","second-order optimization (pointers: see the Newton \u0026 Gauss-Newton methods, quasi-Newton","methods, and BFGS). But hopefully this demonstration gave you an idea of how you can","debug your way out of uncomfortable training situations.","","Remember: use `run_eagerly=True` for debugging what happens in `fit()`. And when your code","is finally working as expected, make sure to remove this flag in order to get the best","runtime performance!","","Here's our final training run:","\"\"\"","","","class MyModel(keras.Model):"," def train_step(self, data):"," inputs, targets = data"," trainable_vars = self.trainable_variables"," with tf.GradientTape() as tape2:"," with tf.GradientTape() as tape1:"," y_pred = self(inputs, training=True) # Forward pass"," # Compute the loss value"," # (the loss function is configured in `compile()`)"," loss = self.compute_loss(y=targets, y_pred=y_pred)"," # Compute first-order gradients"," dl_dw = tape1.gradient(loss, trainable_vars)"," # Compute second-order gradients"," d2l_dw2 = tape2.gradient(dl_dw, trainable_vars)",""," dl_dw = [tf.math.l2_normalize(w) for w in dl_dw]"," d2l_dw2 = [tf.math.l2_normalize(w) for w in d2l_dw2]",""," # Combine first-order and second-order gradients"," grads = [0.2 * w1 + 0.8 * w2 for (w1, w2) in zip(d2l_dw2, dl_dw)]",""," # Update weights"," self.optimizer.apply_gradients(zip(grads, trainable_vars))",""," # Update metrics (includes the metric that tracks the loss)"," for metric in self.metrics:"," if metric.name == \"loss\":"," metric.update_state(loss)"," else:"," metric.update_state(targets, y_pred)",""," # Return a dict mapping metric names to current value"," return {m.name: m.result() for m in self.metrics}","","","model = get_model()","lr = learning_rate = keras.optimizers.schedules.InverseTimeDecay("," initial_learning_rate=0.1, decay_steps=25, decay_rate=0.1",")","model.compile("," optimizer=keras.optimizers.SGD(lr),"," loss=\"sparse_categorical_crossentropy\","," metrics=[\"sparse_categorical_accuracy\"],",")","model.fit(x_train, y_train, epochs=50, batch_size=2048, 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class="react-line-number react-code-text" style="padding-right:16px">466<span class="Box-sc-g0xbh4-0 cJGaMs"><div aria-label="Collapse code section" role="button" class="Box-sc-g0xbh4-0 iGLarr"><svg aria-hidden="true" focusable="false" class="Octicon-sc-9kayk9-0" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" style="display:inline-block;user-select:none;vertical-align:text-bottom;overflow:visible"><path d="M12.78 5.22a.749.749 0 0 1 0 1.06l-4.25 4.25a.749.749 0 0 1-1.06 0L3.22 6.28a.749.749 0 1 1 1.06-1.06L8 8.939l3.72-3.719a.749.749 0 0 1 1.06 0Z"></path></svg></div></span></div><div data-line-number="467" class="child-of-line-465 react-line-number react-code-text" style="padding-right:16px">467<span class="Box-sc-g0xbh4-0 cJGaMs"><div aria-label="Collapse code section" role="button" class="Box-sc-g0xbh4-0 iGLarr"><svg aria-hidden="true" focusable="false" class="Octicon-sc-9kayk9-0" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" style="display:inline-block;user-select:none;vertical-align:text-bottom;overflow:visible"><path d="M12.78 5.22a.749.749 0 0 1 0 1.06l-4.25 4.25a.749.749 0 0 1-1.06 0L3.22 6.28a.749.749 0 1 1 1.06-1.06L8 8.939l3.72-3.719a.749.749 0 0 1 1.06 0Z"></path></svg></div></span></div><div data-line-number="468" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">468</div><div data-line-number="469" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">469</div><div data-line-number="470" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">470</div><div data-line-number="471" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">471</div><div data-line-number="472" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">472</div><div 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data-line-number="480" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">480</div><div data-line-number="481" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">481</div><div data-line-number="482" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">482</div><div data-line-number="483" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">483</div><div data-line-number="484" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">484</div><div data-line-number="485" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">485</div><div data-line-number="486" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">486</div><div data-line-number="487" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">487</div><div data-line-number="488" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">488</div><div data-line-number="489" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">489</div><div data-line-number="490" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">490</div><div data-line-number="491" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">491</div><div data-line-number="492" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">492</div><div data-line-number="493" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">493</div><div data-line-number="494" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">494</div><div data-line-number="495" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">495</div><div data-line-number="496" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">496</div><div data-line-number="497" class="child-of-line-465 child-of-line-466 react-line-number react-code-text" style="padding-right:16px">497</div><div data-line-number="498" class="react-line-number react-code-text" style="padding-right:16px">498</div><div data-line-number="499" class="react-line-number react-code-text" style="padding-right:16px">499</div><div data-line-number="500" class="react-line-number react-code-text" style="padding-right:16px">500</div><div data-line-number="501" class="react-line-number react-code-text" style="padding-right:16px">501</div><div data-line-number="502" class="react-line-number react-code-text" style="padding-right:16px">502</div><div data-line-number="503" class="react-line-number react-code-text" style="padding-right:16px">503</div><div data-line-number="504" class="react-line-number react-code-text" style="padding-right:16px">504</div><div data-line-number="505" class="react-line-number react-code-text" style="padding-right:16px">505</div><div data-line-number="506" class="react-line-number react-code-text" style="padding-right:16px">506</div><div data-line-number="507" class="react-line-number react-code-text" style="padding-right:16px">507</div><div data-line-number="508" class="react-line-number react-code-text" style="padding-right:16px">508</div><div data-line-number="509" class="react-line-number react-code-text" style="padding-right:16px">509</div><div data-line-number="510" class="react-line-number react-code-text" style="padding-right:16px">510</div></div><div class="react-code-lines"><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC1" class="react-file-line html-div" data-testid="code-cell" data-line-number="1" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC2" class="react-file-line html-div" data-testid="code-cell" data-line-number="2" style="position:relative"><span class="pl-s">Title: Keras debugging tips</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC3" class="react-file-line html-div" data-testid="code-cell" data-line-number="3" style="position:relative"><span class="pl-s">Author: [fchollet](https://twitter.com/fchollet)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC4" class="react-file-line html-div" data-testid="code-cell" data-line-number="4" style="position:relative"><span class="pl-s">Date created: 2020/05/16</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC5" class="react-file-line html-div" data-testid="code-cell" data-line-number="5" style="position:relative"><span class="pl-s">Last modified: 2023/11/16</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC6" class="react-file-line html-div" data-testid="code-cell" data-line-number="6" style="position:relative"><span class="pl-s">Description: Four simple tips to help you debug your Keras code.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC7" class="react-file-line html-div" data-testid="code-cell" data-line-number="7" style="position:relative"><span class="pl-s">Accelerator: GPU</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC8" class="react-file-line html-div" data-testid="code-cell" data-line-number="8" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC9" class="react-file-line html-div" data-testid="code-cell" data-line-number="9" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC10" class="react-file-line html-div" data-testid="code-cell" data-line-number="10" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC11" class="react-file-line html-div" data-testid="code-cell" data-line-number="11" style="position:relative"><span class="pl-s">## Introduction</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC12" class="react-file-line html-div" data-testid="code-cell" data-line-number="12" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC13" class="react-file-line html-div" data-testid="code-cell" data-line-number="13" style="position:relative"><span class="pl-s">It's generally possible to do almost anything in Keras *without writing code* per se:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC14" class="react-file-line html-div" data-testid="code-cell" data-line-number="14" style="position:relative"><span class="pl-s">whether you're implementing a new type of GAN or the latest convnet architecture for</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC15" class="react-file-line html-div" data-testid="code-cell" data-line-number="15" style="position:relative"><span class="pl-s">image segmentation, you can usually stick to calling built-in methods. Because all</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC16" class="react-file-line html-div" data-testid="code-cell" data-line-number="16" style="position:relative"><span class="pl-s">built-in methods do extensive input validation checks, you will have little to no</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC17" class="react-file-line html-div" data-testid="code-cell" data-line-number="17" style="position:relative"><span class="pl-s">debugging to do. A Functional API model made entirely of built-in layers will work on</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC18" class="react-file-line html-div" data-testid="code-cell" data-line-number="18" style="position:relative"><span class="pl-s">first try -- if you can compile it, it will run.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC19" class="react-file-line html-div" data-testid="code-cell" data-line-number="19" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC20" class="react-file-line html-div" data-testid="code-cell" data-line-number="20" style="position:relative"><span class="pl-s">However, sometimes, you will need to dive deeper and write your own code. Here are some</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC21" class="react-file-line html-div" data-testid="code-cell" data-line-number="21" style="position:relative"><span class="pl-s">common examples:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC22" class="react-file-line html-div" data-testid="code-cell" data-line-number="22" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC23" class="react-file-line html-div" data-testid="code-cell" data-line-number="23" style="position:relative"><span class="pl-s">- Creating a new `Layer` subclass.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC24" class="react-file-line html-div" data-testid="code-cell" data-line-number="24" style="position:relative"><span class="pl-s">- Creating a custom `Metric` subclass.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC25" class="react-file-line html-div" data-testid="code-cell" data-line-number="25" style="position:relative"><span class="pl-s">- Implementing a custom `train_step` on a `Model`.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC26" class="react-file-line html-div" data-testid="code-cell" data-line-number="26" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC27" class="react-file-line html-div" data-testid="code-cell" data-line-number="27" style="position:relative"><span class="pl-s">This document provides a few simple tips to help you navigate debugging in these</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC28" class="react-file-line html-div" data-testid="code-cell" data-line-number="28" style="position:relative"><span class="pl-s">situations.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC29" class="react-file-line html-div" data-testid="code-cell" data-line-number="29" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC30" class="react-file-line html-div" data-testid="code-cell" data-line-number="30" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC31" class="react-file-line html-div" data-testid="code-cell" data-line-number="31" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC32" class="react-file-line html-div" data-testid="code-cell" data-line-number="32" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC33" class="react-file-line html-div" data-testid="code-cell" data-line-number="33" style="position:relative"><span class="pl-s">## Tip 1: test each part before you test the whole</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC34" class="react-file-line html-div" data-testid="code-cell" data-line-number="34" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC35" class="react-file-line html-div" data-testid="code-cell" data-line-number="35" style="position:relative"><span class="pl-s">If you've created any object that has a chance of not working as expected, don't just</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC36" class="react-file-line html-div" data-testid="code-cell" data-line-number="36" style="position:relative"><span class="pl-s">drop it in your end-to-end process and watch sparks fly. Rather, test your custom object</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC37" class="react-file-line html-div" data-testid="code-cell" data-line-number="37" style="position:relative"><span class="pl-s">in isolation first. This may seem obvious -- but you'd be surprised how often people</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC38" class="react-file-line html-div" data-testid="code-cell" data-line-number="38" style="position:relative"><span class="pl-s">don't start with this.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC39" class="react-file-line html-div" data-testid="code-cell" data-line-number="39" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC40" class="react-file-line html-div" data-testid="code-cell" data-line-number="40" style="position:relative"><span class="pl-s">- If you write a custom layer, don't call `fit()` on your entire model just yet. Call</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC41" class="react-file-line html-div" data-testid="code-cell" data-line-number="41" style="position:relative"><span class="pl-s">your layer on some test data first.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC42" class="react-file-line html-div" data-testid="code-cell" data-line-number="42" style="position:relative"><span class="pl-s">- If you write a custom metric, start by printing its output for some reference inputs.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC43" class="react-file-line html-div" data-testid="code-cell" data-line-number="43" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC44" class="react-file-line html-div" data-testid="code-cell" data-line-number="44" style="position:relative"><span class="pl-s">Here's a simple example. Let's write a custom layer a bug in it:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC45" class="react-file-line html-div" data-testid="code-cell" data-line-number="45" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC46" class="react-file-line html-div" data-testid="code-cell" data-line-number="46" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC47" class="react-file-line html-div" data-testid="code-cell" data-line-number="47" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC48" class="react-file-line html-div" data-testid="code-cell" data-line-number="48" style="position:relative"><span class="pl-k">import</span> <span class="pl-s1">os</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC49" class="react-file-line html-div" data-testid="code-cell" data-line-number="49" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC50" class="react-file-line html-div" data-testid="code-cell" data-line-number="50" style="position:relative"><span class="pl-c"># The last example uses tf.GradientTape and thus requires TensorFlow.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC51" class="react-file-line html-div" data-testid="code-cell" data-line-number="51" style="position:relative"><span class="pl-c"># However, all tips here are applicable with all backends.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC52" class="react-file-line html-div" data-testid="code-cell" data-line-number="52" style="position:relative"><span class="pl-s1">os</span>.<span class="pl-s1">environ</span>[<span class="pl-s">"KERAS_BACKEND"</span>] <span class="pl-c1">=</span> <span class="pl-s">"tensorflow"</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC53" class="react-file-line html-div" data-testid="code-cell" data-line-number="53" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC54" class="react-file-line html-div" data-testid="code-cell" data-line-number="54" style="position:relative"><span class="pl-k">import</span> <span class="pl-s1">keras</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC55" class="react-file-line html-div" data-testid="code-cell" data-line-number="55" style="position:relative"><span class="pl-k">from</span> <span class="pl-s1">keras</span> <span class="pl-k">import</span> <span class="pl-s1">layers</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC56" class="react-file-line html-div" data-testid="code-cell" data-line-number="56" style="position:relative"><span class="pl-k">from</span> <span class="pl-s1">keras</span> <span class="pl-k">import</span> <span class="pl-s1">ops</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC57" class="react-file-line html-div" data-testid="code-cell" data-line-number="57" style="position:relative"><span class="pl-k">import</span> <span class="pl-s1">numpy</span> <span class="pl-k">as</span> <span class="pl-s1">np</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC58" class="react-file-line html-div" data-testid="code-cell" data-line-number="58" style="position:relative"><span class="pl-k">import</span> <span class="pl-s1">tensorflow</span> <span class="pl-k">as</span> <span class="pl-s1">tf</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC59" class="react-file-line html-div" data-testid="code-cell" data-line-number="59" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC60" class="react-file-line html-div" data-testid="code-cell" data-line-number="60" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC61" class="react-file-line html-div" data-testid="code-cell" data-line-number="61" style="position:relative"><span class="pl-k">class</span> <span class="pl-v">MyAntirectifier</span>(<span class="pl-s1">layers</span>.<span class="pl-v">Layer</span>):</div></div></div><div class="child-of-line-60 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC62" class="react-file-line html-div" data-testid="code-cell" data-line-number="62" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">build</span>(<span class="pl-s1">self</span>, <span class="pl-s1">input_shape</span>):</div></div></div><div class="child-of-line-60 child-of-line-61 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC63" class="react-file-line html-div" data-testid="code-cell" data-line-number="63" style="position:relative"> <span class="pl-s1">output_dim</span> <span class="pl-c1">=</span> <span class="pl-s1">input_shape</span>[<span class="pl-c1">-</span><span class="pl-c1">1</span>]</div></div></div><div class="child-of-line-60 child-of-line-61 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC64" class="react-file-line html-div" data-testid="code-cell" data-line-number="64" style="position:relative"> <span class="pl-s1">self</span>.<span class="pl-s1">kernel</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-en">add_weight</span>(</div></div></div><div class="child-of-line-60 child-of-line-61 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC65" class="react-file-line html-div" data-testid="code-cell" data-line-number="65" style="position:relative"> <span class="pl-s1">shape</span><span class="pl-c1">=</span>(<span class="pl-s1">output_dim</span> <span class="pl-c1">*</span> <span class="pl-c1">2</span>, <span class="pl-s1">output_dim</span>),</div></div></div><div class="child-of-line-60 child-of-line-61 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC66" class="react-file-line html-div" data-testid="code-cell" data-line-number="66" style="position:relative"> <span class="pl-s1">initializer</span><span class="pl-c1">=</span><span class="pl-s">"he_normal"</span>,</div></div></div><div class="child-of-line-60 child-of-line-61 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC67" class="react-file-line html-div" data-testid="code-cell" data-line-number="67" style="position:relative"> <span class="pl-s1">name</span><span class="pl-c1">=</span><span class="pl-s">"kernel"</span>,</div></div></div><div class="child-of-line-60 child-of-line-61 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC68" class="react-file-line html-div" data-testid="code-cell" data-line-number="68" style="position:relative"> <span class="pl-s1">trainable</span><span class="pl-c1">=</span><span class="pl-c1">True</span>,</div></div></div><div class="child-of-line-60 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC69" class="react-file-line html-div" data-testid="code-cell" data-line-number="69" style="position:relative"> )</div></div></div><div class="child-of-line-60 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC70" class="react-file-line html-div" data-testid="code-cell" data-line-number="70" style="position:relative"> </div></div></div><div class="child-of-line-60 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC71" class="react-file-line html-div" data-testid="code-cell" data-line-number="71" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">call</span>(<span class="pl-s1">self</span>, <span class="pl-s1">inputs</span>):</div></div></div><div class="child-of-line-60 child-of-line-70 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC72" class="react-file-line html-div" data-testid="code-cell" data-line-number="72" style="position:relative"> <span class="pl-c"># Take the positive part of the input</span></div></div></div><div class="child-of-line-60 child-of-line-70 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC73" class="react-file-line html-div" data-testid="code-cell" data-line-number="73" style="position:relative"> <span class="pl-s1">pos</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">relu</span>(<span class="pl-s1">inputs</span>)</div></div></div><div class="child-of-line-60 child-of-line-70 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC74" class="react-file-line html-div" data-testid="code-cell" data-line-number="74" style="position:relative"> <span class="pl-c"># Take the negative part of the input</span></div></div></div><div class="child-of-line-60 child-of-line-70 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC75" class="react-file-line html-div" data-testid="code-cell" data-line-number="75" style="position:relative"> <span class="pl-s1">neg</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">relu</span>(<span class="pl-c1">-</span><span class="pl-s1">inputs</span>)</div></div></div><div class="child-of-line-60 child-of-line-70 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC76" class="react-file-line html-div" data-testid="code-cell" data-line-number="76" style="position:relative"> <span class="pl-c"># Concatenate the positive and negative parts</span></div></div></div><div class="child-of-line-60 child-of-line-70 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC77" class="react-file-line html-div" data-testid="code-cell" data-line-number="77" style="position:relative"> <span class="pl-s1">concatenated</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">concatenate</span>([<span class="pl-s1">pos</span>, <span class="pl-s1">neg</span>], <span class="pl-s1">axis</span><span class="pl-c1">=</span><span class="pl-c1">0</span>)</div></div></div><div class="child-of-line-60 child-of-line-70 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC78" class="react-file-line html-div" data-testid="code-cell" data-line-number="78" style="position:relative"> <span class="pl-c"># Project the concatenation down to the same dimensionality as the input</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC79" class="react-file-line html-div" data-testid="code-cell" data-line-number="79" style="position:relative"> <span class="pl-k">return</span> <span class="pl-s1">ops</span>.<span class="pl-en">matmul</span>(<span class="pl-s1">concatenated</span>, <span class="pl-s1">self</span>.<span class="pl-s1">kernel</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC80" class="react-file-line html-div" data-testid="code-cell" data-line-number="80" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC81" class="react-file-line html-div" data-testid="code-cell" data-line-number="81" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC82" class="react-file-line html-div" data-testid="code-cell" data-line-number="82" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC83" class="react-file-line html-div" data-testid="code-cell" data-line-number="83" style="position:relative"><span class="pl-s">Now, rather than using it in a end-to-end model directly, let's try to call the layer on</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC84" class="react-file-line html-div" data-testid="code-cell" data-line-number="84" style="position:relative"><span class="pl-s">some test data:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC85" class="react-file-line html-div" data-testid="code-cell" data-line-number="85" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC86" class="react-file-line html-div" data-testid="code-cell" data-line-number="86" style="position:relative"><span class="pl-s">```python</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC87" class="react-file-line html-div" data-testid="code-cell" data-line-number="87" style="position:relative"><span class="pl-s">x = tf.random.normal(shape=(2, 5))</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC88" class="react-file-line html-div" data-testid="code-cell" data-line-number="88" style="position:relative"><span class="pl-s">y = MyAntirectifier()(x)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC89" class="react-file-line html-div" data-testid="code-cell" data-line-number="89" style="position:relative"><span class="pl-s">```</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC90" class="react-file-line html-div" data-testid="code-cell" data-line-number="90" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC91" class="react-file-line html-div" data-testid="code-cell" data-line-number="91" style="position:relative"><span class="pl-s">We get the following error:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC92" class="react-file-line html-div" data-testid="code-cell" data-line-number="92" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC93" class="react-file-line html-div" data-testid="code-cell" data-line-number="93" style="position:relative"><span class="pl-s">```</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC94" class="react-file-line html-div" data-testid="code-cell" data-line-number="94" style="position:relative"><span class="pl-s">...</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC95" class="react-file-line html-div" data-testid="code-cell" data-line-number="95" style="position:relative"><span class="pl-s"> 1 x = tf.random.normal(shape=(2, 5))</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC96" class="react-file-line html-div" data-testid="code-cell" data-line-number="96" style="position:relative"><span class="pl-s">----> 2 y = MyAntirectifier()(x)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC97" class="react-file-line html-div" data-testid="code-cell" data-line-number="97" style="position:relative"><span class="pl-s">...</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC98" class="react-file-line html-div" data-testid="code-cell" data-line-number="98" style="position:relative"><span class="pl-s"> 17 neg = tf.nn.relu(-inputs)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC99" class="react-file-line html-div" data-testid="code-cell" data-line-number="99" style="position:relative"><span class="pl-s"> 18 concatenated = tf.concat([pos, neg], axis=0)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC100" class="react-file-line html-div" data-testid="code-cell" data-line-number="100" style="position:relative"><span class="pl-s">---> 19 return tf.matmul(concatenated, self.kernel)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC101" class="react-file-line html-div" data-testid="code-cell" data-line-number="101" style="position:relative"><span class="pl-s">...</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC102" class="react-file-line html-div" data-testid="code-cell" data-line-number="102" style="position:relative"><span class="pl-s">InvalidArgumentError: Matrix size-incompatible: In[0]: [4,5], In[1]: [10,5] [Op:MatMul]</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC103" class="react-file-line html-div" data-testid="code-cell" data-line-number="103" style="position:relative"><span class="pl-s">```</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC104" class="react-file-line html-div" data-testid="code-cell" data-line-number="104" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC105" class="react-file-line html-div" data-testid="code-cell" data-line-number="105" style="position:relative"><span class="pl-s">Looks like our input tensor in the `matmul` op may have an incorrect shape.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC106" class="react-file-line html-div" data-testid="code-cell" data-line-number="106" style="position:relative"><span class="pl-s">Let's add a print statement to check the actual shapes:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC107" class="react-file-line html-div" data-testid="code-cell" data-line-number="107" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC108" class="react-file-line html-div" data-testid="code-cell" data-line-number="108" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC109" class="react-file-line html-div" data-testid="code-cell" data-line-number="109" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC110" class="react-file-line html-div" data-testid="code-cell" data-line-number="110" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC111" class="react-file-line html-div" data-testid="code-cell" data-line-number="111" style="position:relative"><span class="pl-k">class</span> <span class="pl-v">MyAntirectifier</span>(<span class="pl-s1">layers</span>.<span class="pl-v">Layer</span>):</div></div></div><div class="child-of-line-110 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC112" class="react-file-line html-div" data-testid="code-cell" data-line-number="112" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">build</span>(<span class="pl-s1">self</span>, <span class="pl-s1">input_shape</span>):</div></div></div><div class="child-of-line-110 child-of-line-111 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC113" class="react-file-line html-div" data-testid="code-cell" data-line-number="113" style="position:relative"> <span class="pl-s1">output_dim</span> <span class="pl-c1">=</span> <span class="pl-s1">input_shape</span>[<span class="pl-c1">-</span><span class="pl-c1">1</span>]</div></div></div><div class="child-of-line-110 child-of-line-111 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC114" class="react-file-line html-div" data-testid="code-cell" data-line-number="114" style="position:relative"> <span class="pl-s1">self</span>.<span class="pl-s1">kernel</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-en">add_weight</span>(</div></div></div><div class="child-of-line-110 child-of-line-111 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC115" class="react-file-line html-div" data-testid="code-cell" data-line-number="115" style="position:relative"> <span class="pl-s1">shape</span><span class="pl-c1">=</span>(<span class="pl-s1">output_dim</span> <span class="pl-c1">*</span> <span class="pl-c1">2</span>, <span class="pl-s1">output_dim</span>),</div></div></div><div class="child-of-line-110 child-of-line-111 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC116" class="react-file-line html-div" data-testid="code-cell" data-line-number="116" style="position:relative"> <span class="pl-s1">initializer</span><span class="pl-c1">=</span><span class="pl-s">"he_normal"</span>,</div></div></div><div class="child-of-line-110 child-of-line-111 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC117" class="react-file-line html-div" data-testid="code-cell" data-line-number="117" style="position:relative"> <span class="pl-s1">name</span><span class="pl-c1">=</span><span class="pl-s">"kernel"</span>,</div></div></div><div class="child-of-line-110 child-of-line-111 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC118" class="react-file-line html-div" data-testid="code-cell" data-line-number="118" style="position:relative"> <span class="pl-s1">trainable</span><span class="pl-c1">=</span><span class="pl-c1">True</span>,</div></div></div><div class="child-of-line-110 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC119" class="react-file-line html-div" data-testid="code-cell" data-line-number="119" style="position:relative"> )</div></div></div><div class="child-of-line-110 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC120" class="react-file-line html-div" data-testid="code-cell" data-line-number="120" style="position:relative"> </div></div></div><div class="child-of-line-110 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC121" class="react-file-line html-div" data-testid="code-cell" data-line-number="121" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">call</span>(<span class="pl-s1">self</span>, <span class="pl-s1">inputs</span>):</div></div></div><div class="child-of-line-110 child-of-line-120 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC122" class="react-file-line html-div" data-testid="code-cell" data-line-number="122" style="position:relative"> <span class="pl-s1">pos</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">relu</span>(<span class="pl-s1">inputs</span>)</div></div></div><div class="child-of-line-110 child-of-line-120 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC123" class="react-file-line html-div" data-testid="code-cell" data-line-number="123" style="position:relative"> <span class="pl-s1">neg</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">relu</span>(<span class="pl-c1">-</span><span class="pl-s1">inputs</span>)</div></div></div><div class="child-of-line-110 child-of-line-120 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC124" class="react-file-line html-div" data-testid="code-cell" data-line-number="124" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"pos.shape:"</span>, <span class="pl-s1">pos</span>.<span class="pl-s1">shape</span>)</div></div></div><div class="child-of-line-110 child-of-line-120 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC125" class="react-file-line html-div" data-testid="code-cell" data-line-number="125" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"neg.shape:"</span>, <span class="pl-s1">neg</span>.<span class="pl-s1">shape</span>)</div></div></div><div class="child-of-line-110 child-of-line-120 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC126" class="react-file-line html-div" data-testid="code-cell" data-line-number="126" style="position:relative"> <span class="pl-s1">concatenated</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">concatenate</span>([<span class="pl-s1">pos</span>, <span class="pl-s1">neg</span>], <span class="pl-s1">axis</span><span class="pl-c1">=</span><span class="pl-c1">0</span>)</div></div></div><div class="child-of-line-110 child-of-line-120 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC127" class="react-file-line html-div" data-testid="code-cell" data-line-number="127" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"concatenated.shape:"</span>, <span class="pl-s1">concatenated</span>.<span class="pl-s1">shape</span>)</div></div></div><div class="child-of-line-110 child-of-line-120 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC128" class="react-file-line html-div" data-testid="code-cell" data-line-number="128" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"kernel.shape:"</span>, <span class="pl-s1">self</span>.<span class="pl-s1">kernel</span>.<span class="pl-s1">shape</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC129" class="react-file-line html-div" data-testid="code-cell" data-line-number="129" style="position:relative"> <span class="pl-k">return</span> <span class="pl-s1">ops</span>.<span class="pl-en">matmul</span>(<span class="pl-s1">concatenated</span>, <span class="pl-s1">self</span>.<span class="pl-s1">kernel</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC130" class="react-file-line html-div" data-testid="code-cell" data-line-number="130" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC131" class="react-file-line html-div" data-testid="code-cell" data-line-number="131" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC132" class="react-file-line html-div" data-testid="code-cell" data-line-number="132" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC133" class="react-file-line html-div" data-testid="code-cell" data-line-number="133" style="position:relative"><span class="pl-s">We get the following:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC134" class="react-file-line html-div" data-testid="code-cell" data-line-number="134" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC135" class="react-file-line html-div" data-testid="code-cell" data-line-number="135" style="position:relative"><span class="pl-s">```</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC136" class="react-file-line html-div" data-testid="code-cell" data-line-number="136" style="position:relative"><span class="pl-s">pos.shape: (2, 5)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC137" class="react-file-line html-div" data-testid="code-cell" data-line-number="137" style="position:relative"><span class="pl-s">neg.shape: (2, 5)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC138" class="react-file-line html-div" data-testid="code-cell" data-line-number="138" style="position:relative"><span class="pl-s">concatenated.shape: (4, 5)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC139" class="react-file-line html-div" data-testid="code-cell" data-line-number="139" style="position:relative"><span class="pl-s">kernel.shape: (10, 5)</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC140" class="react-file-line html-div" data-testid="code-cell" data-line-number="140" style="position:relative"><span class="pl-s">```</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC141" class="react-file-line html-div" data-testid="code-cell" data-line-number="141" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC142" class="react-file-line html-div" data-testid="code-cell" data-line-number="142" style="position:relative"><span class="pl-s">Turns out we had the wrong axis for the `concat` op! We should be concatenating `neg` and</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC143" class="react-file-line html-div" data-testid="code-cell" data-line-number="143" style="position:relative"><span class="pl-s">`pos` alongside the feature axis 1, not the batch axis 0. Here's the correct version:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC144" class="react-file-line html-div" data-testid="code-cell" data-line-number="144" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC145" class="react-file-line html-div" data-testid="code-cell" data-line-number="145" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC146" class="react-file-line html-div" data-testid="code-cell" data-line-number="146" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC147" class="react-file-line html-div" data-testid="code-cell" data-line-number="147" style="position:relative"><span class="pl-k">class</span> <span class="pl-v">MyAntirectifier</span>(<span class="pl-s1">layers</span>.<span class="pl-v">Layer</span>):</div></div></div><div class="child-of-line-146 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC148" class="react-file-line html-div" data-testid="code-cell" data-line-number="148" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">build</span>(<span class="pl-s1">self</span>, <span class="pl-s1">input_shape</span>):</div></div></div><div class="child-of-line-146 child-of-line-147 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC149" class="react-file-line html-div" data-testid="code-cell" data-line-number="149" style="position:relative"> <span class="pl-s1">output_dim</span> <span class="pl-c1">=</span> <span class="pl-s1">input_shape</span>[<span class="pl-c1">-</span><span class="pl-c1">1</span>]</div></div></div><div class="child-of-line-146 child-of-line-147 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC150" class="react-file-line html-div" data-testid="code-cell" data-line-number="150" style="position:relative"> <span class="pl-s1">self</span>.<span class="pl-s1">kernel</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-en">add_weight</span>(</div></div></div><div class="child-of-line-146 child-of-line-147 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC151" class="react-file-line html-div" data-testid="code-cell" data-line-number="151" style="position:relative"> <span class="pl-s1">shape</span><span class="pl-c1">=</span>(<span class="pl-s1">output_dim</span> <span class="pl-c1">*</span> <span class="pl-c1">2</span>, <span class="pl-s1">output_dim</span>),</div></div></div><div class="child-of-line-146 child-of-line-147 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC152" class="react-file-line html-div" data-testid="code-cell" data-line-number="152" style="position:relative"> <span class="pl-s1">initializer</span><span class="pl-c1">=</span><span class="pl-s">"he_normal"</span>,</div></div></div><div class="child-of-line-146 child-of-line-147 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC153" class="react-file-line html-div" data-testid="code-cell" data-line-number="153" style="position:relative"> <span class="pl-s1">name</span><span class="pl-c1">=</span><span class="pl-s">"kernel"</span>,</div></div></div><div class="child-of-line-146 child-of-line-147 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC154" class="react-file-line html-div" data-testid="code-cell" data-line-number="154" style="position:relative"> <span class="pl-s1">trainable</span><span class="pl-c1">=</span><span class="pl-c1">True</span>,</div></div></div><div class="child-of-line-146 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC155" class="react-file-line html-div" data-testid="code-cell" data-line-number="155" style="position:relative"> )</div></div></div><div class="child-of-line-146 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC156" class="react-file-line html-div" data-testid="code-cell" data-line-number="156" style="position:relative"> </div></div></div><div class="child-of-line-146 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC157" class="react-file-line html-div" data-testid="code-cell" data-line-number="157" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">call</span>(<span class="pl-s1">self</span>, <span class="pl-s1">inputs</span>):</div></div></div><div class="child-of-line-146 child-of-line-156 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC158" class="react-file-line html-div" data-testid="code-cell" data-line-number="158" style="position:relative"> <span class="pl-s1">pos</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">relu</span>(<span class="pl-s1">inputs</span>)</div></div></div><div class="child-of-line-146 child-of-line-156 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC159" class="react-file-line html-div" data-testid="code-cell" data-line-number="159" style="position:relative"> <span class="pl-s1">neg</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">relu</span>(<span class="pl-c1">-</span><span class="pl-s1">inputs</span>)</div></div></div><div class="child-of-line-146 child-of-line-156 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC160" class="react-file-line html-div" data-testid="code-cell" data-line-number="160" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"pos.shape:"</span>, <span class="pl-s1">pos</span>.<span class="pl-s1">shape</span>)</div></div></div><div class="child-of-line-146 child-of-line-156 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC161" class="react-file-line html-div" data-testid="code-cell" data-line-number="161" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"neg.shape:"</span>, <span class="pl-s1">neg</span>.<span class="pl-s1">shape</span>)</div></div></div><div class="child-of-line-146 child-of-line-156 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC162" class="react-file-line html-div" data-testid="code-cell" data-line-number="162" style="position:relative"> <span class="pl-s1">concatenated</span> <span class="pl-c1">=</span> <span class="pl-s1">ops</span>.<span class="pl-en">concatenate</span>([<span class="pl-s1">pos</span>, <span class="pl-s1">neg</span>], <span class="pl-s1">axis</span><span class="pl-c1">=</span><span class="pl-c1">1</span>)</div></div></div><div class="child-of-line-146 child-of-line-156 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC163" class="react-file-line html-div" data-testid="code-cell" data-line-number="163" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"concatenated.shape:"</span>, <span class="pl-s1">concatenated</span>.<span class="pl-s1">shape</span>)</div></div></div><div class="child-of-line-146 child-of-line-156 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC164" class="react-file-line html-div" data-testid="code-cell" data-line-number="164" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"kernel.shape:"</span>, <span class="pl-s1">self</span>.<span class="pl-s1">kernel</span>.<span class="pl-s1">shape</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC165" class="react-file-line html-div" data-testid="code-cell" data-line-number="165" style="position:relative"> <span class="pl-k">return</span> <span class="pl-s1">ops</span>.<span class="pl-en">matmul</span>(<span class="pl-s1">concatenated</span>, <span class="pl-s1">self</span>.<span class="pl-s1">kernel</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC166" class="react-file-line html-div" data-testid="code-cell" data-line-number="166" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC167" class="react-file-line html-div" data-testid="code-cell" data-line-number="167" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC168" class="react-file-line html-div" data-testid="code-cell" data-line-number="168" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC169" class="react-file-line html-div" data-testid="code-cell" data-line-number="169" style="position:relative"><span class="pl-s">Now our code works fine:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC170" class="react-file-line html-div" data-testid="code-cell" data-line-number="170" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC171" class="react-file-line html-div" data-testid="code-cell" data-line-number="171" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC172" class="react-file-line html-div" data-testid="code-cell" data-line-number="172" style="position:relative"><span class="pl-s1">x</span> <span class="pl-c1">=</span> <span class="pl-s1">keras</span>.<span class="pl-s1">random</span>.<span class="pl-en">normal</span>(<span class="pl-s1">shape</span><span class="pl-c1">=</span>(<span class="pl-c1">2</span>, <span class="pl-c1">5</span>))</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC173" class="react-file-line html-div" data-testid="code-cell" data-line-number="173" style="position:relative"><span class="pl-s1">y</span> <span class="pl-c1">=</span> <span class="pl-v">MyAntirectifier</span>()(<span class="pl-s1">x</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC174" class="react-file-line html-div" data-testid="code-cell" data-line-number="174" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC175" class="react-file-line html-div" data-testid="code-cell" data-line-number="175" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC176" class="react-file-line html-div" data-testid="code-cell" data-line-number="176" style="position:relative"><span class="pl-s">## Tip 2: use `model.summary()` and `plot_model()` to check layer output shapes</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC177" class="react-file-line html-div" data-testid="code-cell" data-line-number="177" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC178" class="react-file-line html-div" data-testid="code-cell" data-line-number="178" style="position:relative"><span class="pl-s">If you're working with complex network topologies, you're going to need a way</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC179" class="react-file-line html-div" data-testid="code-cell" data-line-number="179" style="position:relative"><span class="pl-s">to visualize how your layers are connected and how they transform the data that passes</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC180" class="react-file-line html-div" data-testid="code-cell" data-line-number="180" style="position:relative"><span class="pl-s">through them.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC181" class="react-file-line html-div" data-testid="code-cell" data-line-number="181" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC182" class="react-file-line html-div" data-testid="code-cell" data-line-number="182" style="position:relative"><span class="pl-s">Here's an example. Consider this model with three inputs and two outputs (lifted from the</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC183" class="react-file-line html-div" data-testid="code-cell" data-line-number="183" style="position:relative"><span class="pl-s">[Functional API guide](https://keras.io/guides/functional_api/#manipulate-complex-graph-topologies)):</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC184" class="react-file-line html-div" data-testid="code-cell" data-line-number="184" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC185" class="react-file-line html-div" data-testid="code-cell" data-line-number="185" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC186" class="react-file-line html-div" data-testid="code-cell" data-line-number="186" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC187" class="react-file-line html-div" data-testid="code-cell" data-line-number="187" style="position:relative"><span class="pl-s1">num_tags</span> <span class="pl-c1">=</span> <span class="pl-c1">12</span> <span class="pl-c"># Number of unique issue tags</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC188" class="react-file-line html-div" data-testid="code-cell" data-line-number="188" style="position:relative"><span class="pl-s1">num_words</span> <span class="pl-c1">=</span> <span class="pl-c1">10000</span> <span class="pl-c"># Size of vocabulary obtained when preprocessing text data</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC189" class="react-file-line html-div" data-testid="code-cell" data-line-number="189" style="position:relative"><span class="pl-s1">num_departments</span> <span class="pl-c1">=</span> <span class="pl-c1">4</span> <span class="pl-c"># Number of departments for predictions</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC190" class="react-file-line html-div" data-testid="code-cell" data-line-number="190" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC191" class="react-file-line html-div" data-testid="code-cell" data-line-number="191" style="position:relative"><span class="pl-s1">title_input</span> <span class="pl-c1">=</span> <span class="pl-s1">keras</span>.<span class="pl-v">Input</span>(</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC192" class="react-file-line html-div" data-testid="code-cell" data-line-number="192" style="position:relative"> <span class="pl-s1">shape</span><span class="pl-c1">=</span>(<span class="pl-c1">None</span>,), <span class="pl-s1">name</span><span class="pl-c1">=</span><span class="pl-s">"title"</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC193" class="react-file-line html-div" data-testid="code-cell" data-line-number="193" style="position:relative">) <span class="pl-c"># Variable-length sequence of ints</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC194" class="react-file-line html-div" data-testid="code-cell" data-line-number="194" style="position:relative"><span class="pl-s1">body_input</span> <span class="pl-c1">=</span> <span class="pl-s1">keras</span>.<span class="pl-v">Input</span>(<span class="pl-s1">shape</span><span class="pl-c1">=</span>(<span class="pl-c1">None</span>,), <span class="pl-s1">name</span><span class="pl-c1">=</span><span class="pl-s">"body"</span>) <span class="pl-c"># Variable-length sequence of ints</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC195" class="react-file-line html-div" data-testid="code-cell" data-line-number="195" style="position:relative"><span class="pl-s1">tags_input</span> <span class="pl-c1">=</span> <span class="pl-s1">keras</span>.<span class="pl-v">Input</span>(</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC196" class="react-file-line html-div" data-testid="code-cell" data-line-number="196" style="position:relative"> <span class="pl-s1">shape</span><span class="pl-c1">=</span>(<span class="pl-s1">num_tags</span>,), <span class="pl-s1">name</span><span class="pl-c1">=</span><span class="pl-s">"tags"</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC197" class="react-file-line html-div" data-testid="code-cell" data-line-number="197" style="position:relative">) <span class="pl-c"># Binary vectors of size `num_tags`</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC198" class="react-file-line html-div" data-testid="code-cell" data-line-number="198" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC199" class="react-file-line html-div" data-testid="code-cell" data-line-number="199" style="position:relative"><span class="pl-c"># Embed each word in the title into a 64-dimensional vector</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC200" class="react-file-line html-div" data-testid="code-cell" data-line-number="200" style="position:relative"><span class="pl-s1">title_features</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-v">Embedding</span>(<span class="pl-s1">num_words</span>, <span class="pl-c1">64</span>)(<span class="pl-s1">title_input</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC201" class="react-file-line html-div" data-testid="code-cell" data-line-number="201" style="position:relative"><span class="pl-c"># Embed each word in the text into a 64-dimensional vector</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC202" class="react-file-line html-div" data-testid="code-cell" data-line-number="202" style="position:relative"><span class="pl-s1">body_features</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-v">Embedding</span>(<span class="pl-s1">num_words</span>, <span class="pl-c1">64</span>)(<span class="pl-s1">body_input</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC203" class="react-file-line html-div" data-testid="code-cell" data-line-number="203" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC204" class="react-file-line html-div" data-testid="code-cell" data-line-number="204" style="position:relative"><span class="pl-c"># Reduce sequence of embedded words in the title into a single 128-dimensional vector</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC205" class="react-file-line html-div" data-testid="code-cell" data-line-number="205" style="position:relative"><span class="pl-s1">title_features</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-v">LSTM</span>(<span class="pl-c1">128</span>)(<span class="pl-s1">title_features</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC206" class="react-file-line html-div" data-testid="code-cell" data-line-number="206" style="position:relative"><span class="pl-c"># Reduce sequence of embedded words in the body into a single 32-dimensional vector</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC207" class="react-file-line html-div" data-testid="code-cell" data-line-number="207" style="position:relative"><span class="pl-s1">body_features</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-v">LSTM</span>(<span class="pl-c1">32</span>)(<span class="pl-s1">body_features</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC208" class="react-file-line html-div" data-testid="code-cell" data-line-number="208" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC209" class="react-file-line html-div" data-testid="code-cell" data-line-number="209" style="position:relative"><span class="pl-c"># Merge all available features into a single large vector via concatenation</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC210" class="react-file-line html-div" data-testid="code-cell" data-line-number="210" style="position:relative"><span class="pl-s1">x</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-en">concatenate</span>([<span class="pl-s1">title_features</span>, <span class="pl-s1">body_features</span>, <span class="pl-s1">tags_input</span>])</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC211" class="react-file-line html-div" data-testid="code-cell" data-line-number="211" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC212" class="react-file-line html-div" data-testid="code-cell" data-line-number="212" style="position:relative"><span class="pl-c"># Stick a logistic regression for priority prediction on top of the features</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC213" class="react-file-line html-div" data-testid="code-cell" data-line-number="213" style="position:relative"><span class="pl-s1">priority_pred</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-v">Dense</span>(<span class="pl-c1">1</span>, <span class="pl-s1">name</span><span class="pl-c1">=</span><span class="pl-s">"priority"</span>)(<span class="pl-s1">x</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC214" class="react-file-line html-div" data-testid="code-cell" data-line-number="214" style="position:relative"><span class="pl-c"># Stick a department classifier on top of the features</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC215" class="react-file-line html-div" data-testid="code-cell" data-line-number="215" style="position:relative"><span class="pl-s1">department_pred</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-v">Dense</span>(<span class="pl-s1">num_departments</span>, <span class="pl-s1">name</span><span class="pl-c1">=</span><span class="pl-s">"department"</span>)(<span class="pl-s1">x</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC216" class="react-file-line html-div" data-testid="code-cell" data-line-number="216" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC217" class="react-file-line html-div" data-testid="code-cell" data-line-number="217" style="position:relative"><span class="pl-c"># Instantiate an end-to-end model predicting both priority and department</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC218" class="react-file-line html-div" data-testid="code-cell" data-line-number="218" style="position:relative"><span class="pl-s1">model</span> <span class="pl-c1">=</span> <span class="pl-s1">keras</span>.<span class="pl-v">Model</span>(</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC219" class="react-file-line html-div" data-testid="code-cell" data-line-number="219" style="position:relative"> <span class="pl-s1">inputs</span><span class="pl-c1">=</span>[<span class="pl-s1">title_input</span>, <span class="pl-s1">body_input</span>, <span class="pl-s1">tags_input</span>],</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC220" class="react-file-line html-div" data-testid="code-cell" data-line-number="220" style="position:relative"> <span class="pl-s1">outputs</span><span class="pl-c1">=</span>[<span class="pl-s1">priority_pred</span>, <span class="pl-s1">department_pred</span>],</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC221" class="react-file-line html-div" data-testid="code-cell" data-line-number="221" style="position:relative">)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC222" class="react-file-line html-div" data-testid="code-cell" data-line-number="222" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC223" class="react-file-line html-div" data-testid="code-cell" data-line-number="223" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC224" class="react-file-line html-div" data-testid="code-cell" data-line-number="224" style="position:relative"><span class="pl-s">Calling `summary()` can help you check the output shape of each layer:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC225" class="react-file-line html-div" data-testid="code-cell" data-line-number="225" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC226" class="react-file-line html-div" data-testid="code-cell" data-line-number="226" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC227" class="react-file-line html-div" data-testid="code-cell" data-line-number="227" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">summary</span>()</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC228" class="react-file-line html-div" data-testid="code-cell" data-line-number="228" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC229" class="react-file-line html-div" data-testid="code-cell" data-line-number="229" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC230" class="react-file-line html-div" data-testid="code-cell" data-line-number="230" style="position:relative"><span class="pl-s">You can also visualize the entire network topology alongside output shapes using</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC231" class="react-file-line html-div" data-testid="code-cell" data-line-number="231" style="position:relative"><span class="pl-s">`plot_model`:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC232" class="react-file-line html-div" data-testid="code-cell" data-line-number="232" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC233" class="react-file-line html-div" data-testid="code-cell" data-line-number="233" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC234" class="react-file-line html-div" data-testid="code-cell" data-line-number="234" style="position:relative"><span class="pl-s1">keras</span>.<span class="pl-s1">utils</span>.<span class="pl-en">plot_model</span>(<span class="pl-s1">model</span>, <span class="pl-s1">show_shapes</span><span class="pl-c1">=</span><span class="pl-c1">True</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC235" class="react-file-line html-div" data-testid="code-cell" data-line-number="235" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC236" class="react-file-line html-div" data-testid="code-cell" data-line-number="236" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC237" class="react-file-line html-div" data-testid="code-cell" data-line-number="237" style="position:relative"><span class="pl-s">With this plot, any connectivity-level error becomes immediately obvious.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC238" class="react-file-line html-div" data-testid="code-cell" data-line-number="238" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC239" class="react-file-line html-div" data-testid="code-cell" data-line-number="239" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC240" class="react-file-line html-div" data-testid="code-cell" data-line-number="240" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC241" class="react-file-line html-div" data-testid="code-cell" data-line-number="241" style="position:relative"><span class="pl-s">## Tip 3: to debug what happens during `fit()`, use `run_eagerly=True`</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC242" class="react-file-line html-div" data-testid="code-cell" data-line-number="242" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC243" class="react-file-line html-div" data-testid="code-cell" data-line-number="243" style="position:relative"><span class="pl-s">The `fit()` method is fast: it runs a well-optimized, fully-compiled computation graph.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC244" class="react-file-line html-div" data-testid="code-cell" data-line-number="244" style="position:relative"><span class="pl-s">That's great for performance, but it also means that the code you're executing isn't the</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC245" class="react-file-line html-div" data-testid="code-cell" data-line-number="245" style="position:relative"><span class="pl-s">Python code you've written. This can be problematic when debugging. As you may recall,</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC246" class="react-file-line html-div" data-testid="code-cell" data-line-number="246" style="position:relative"><span class="pl-s">Python is slow -- so we use it as a staging language, not as an execution language.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC247" class="react-file-line html-div" data-testid="code-cell" data-line-number="247" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC248" class="react-file-line html-div" data-testid="code-cell" data-line-number="248" style="position:relative"><span class="pl-s">Thankfully, there's an easy way to run your code in "debug mode", fully eagerly:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC249" class="react-file-line html-div" data-testid="code-cell" data-line-number="249" style="position:relative"><span class="pl-s">pass `run_eagerly=True` to `compile()`. Your call to `fit()` will now get executed line</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC250" class="react-file-line html-div" data-testid="code-cell" data-line-number="250" style="position:relative"><span class="pl-s">by line, without any optimization. It's slower, but it makes it possible to print the</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC251" class="react-file-line html-div" data-testid="code-cell" data-line-number="251" style="position:relative"><span class="pl-s">value of intermediate tensors, or to use a Python debugger. Great for debugging.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC252" class="react-file-line html-div" data-testid="code-cell" data-line-number="252" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC253" class="react-file-line html-div" data-testid="code-cell" data-line-number="253" style="position:relative"><span class="pl-s">Here's a basic example: let's write a really simple model with a custom `train_step()` method.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC254" class="react-file-line html-div" data-testid="code-cell" data-line-number="254" style="position:relative"><span class="pl-s">Our model just implements gradient descent, but instead of first-order gradients,</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC255" class="react-file-line html-div" data-testid="code-cell" data-line-number="255" style="position:relative"><span class="pl-s">it uses a combination of first-order and second-order gradients. Pretty simple so far.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC256" class="react-file-line html-div" data-testid="code-cell" data-line-number="256" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC257" class="react-file-line html-div" data-testid="code-cell" data-line-number="257" style="position:relative"><span class="pl-s">Can you spot what we're doing wrong?</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC258" class="react-file-line html-div" data-testid="code-cell" data-line-number="258" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC259" class="react-file-line html-div" data-testid="code-cell" data-line-number="259" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC260" class="react-file-line html-div" data-testid="code-cell" data-line-number="260" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC261" class="react-file-line html-div" data-testid="code-cell" data-line-number="261" style="position:relative"><span class="pl-k">class</span> <span class="pl-v">MyModel</span>(<span class="pl-s1">keras</span>.<span class="pl-v">Model</span>):</div></div></div><div class="child-of-line-260 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC262" class="react-file-line html-div" data-testid="code-cell" data-line-number="262" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">train_step</span>(<span class="pl-s1">self</span>, <span class="pl-s1">data</span>):</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC263" class="react-file-line html-div" data-testid="code-cell" data-line-number="263" style="position:relative"> <span class="pl-s1">inputs</span>, <span class="pl-s1">targets</span> <span class="pl-c1">=</span> <span class="pl-s1">data</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC264" class="react-file-line html-div" data-testid="code-cell" data-line-number="264" style="position:relative"> <span class="pl-s1">trainable_vars</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-s1">trainable_variables</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC265" class="react-file-line html-div" data-testid="code-cell" data-line-number="265" style="position:relative"> <span class="pl-k">with</span> <span class="pl-s1">tf</span>.<span class="pl-v">GradientTape</span>() <span class="pl-k">as</span> <span class="pl-s1">tape2</span>:</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC266" class="react-file-line html-div" data-testid="code-cell" data-line-number="266" style="position:relative"> <span class="pl-k">with</span> <span class="pl-s1">tf</span>.<span class="pl-v">GradientTape</span>() <span class="pl-k">as</span> <span class="pl-s1">tape1</span>:</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC267" class="react-file-line html-div" data-testid="code-cell" data-line-number="267" style="position:relative"> <span class="pl-s1">y_pred</span> <span class="pl-c1">=</span> <span class="pl-en">self</span>(<span class="pl-s1">inputs</span>, <span class="pl-s1">training</span><span class="pl-c1">=</span><span class="pl-c1">True</span>) <span class="pl-c"># Forward pass</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC268" class="react-file-line html-div" data-testid="code-cell" data-line-number="268" style="position:relative"> <span class="pl-c"># Compute the loss value</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC269" class="react-file-line html-div" data-testid="code-cell" data-line-number="269" style="position:relative"> <span class="pl-c"># (the loss function is configured in `compile()`)</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC270" class="react-file-line html-div" data-testid="code-cell" data-line-number="270" style="position:relative"> <span class="pl-s1">loss</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-en">compute_loss</span>(<span class="pl-s1">y</span><span class="pl-c1">=</span><span class="pl-s1">targets</span>, <span class="pl-s1">y_pred</span><span class="pl-c1">=</span><span class="pl-s1">y_pred</span>)</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC271" class="react-file-line html-div" data-testid="code-cell" data-line-number="271" style="position:relative"> <span class="pl-c"># Compute first-order gradients</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC272" class="react-file-line html-div" data-testid="code-cell" data-line-number="272" style="position:relative"> <span class="pl-s1">dl_dw</span> <span class="pl-c1">=</span> <span class="pl-s1">tape1</span>.<span class="pl-en">gradient</span>(<span class="pl-s1">loss</span>, <span class="pl-s1">trainable_vars</span>)</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC273" class="react-file-line html-div" data-testid="code-cell" data-line-number="273" style="position:relative"> <span class="pl-c"># Compute second-order gradients</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC274" class="react-file-line html-div" data-testid="code-cell" data-line-number="274" style="position:relative"> <span class="pl-s1">d2l_dw2</span> <span class="pl-c1">=</span> <span class="pl-s1">tape2</span>.<span class="pl-en">gradient</span>(<span class="pl-s1">dl_dw</span>, <span class="pl-s1">trainable_vars</span>)</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC275" class="react-file-line html-div" data-testid="code-cell" data-line-number="275" style="position:relative"> </div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC276" class="react-file-line html-div" data-testid="code-cell" data-line-number="276" style="position:relative"> <span class="pl-c"># Combine first-order and second-order gradients</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC277" class="react-file-line html-div" data-testid="code-cell" data-line-number="277" style="position:relative"> <span class="pl-s1">grads</span> <span class="pl-c1">=</span> [<span class="pl-c1">0.5</span> <span class="pl-c1">*</span> <span class="pl-s1">w1</span> <span class="pl-c1">+</span> <span class="pl-c1">0.5</span> <span class="pl-c1">*</span> <span class="pl-s1">w2</span> <span class="pl-k">for</span> (<span class="pl-s1">w1</span>, <span class="pl-s1">w2</span>) <span class="pl-c1">in</span> <span class="pl-en">zip</span>(<span class="pl-s1">d2l_dw2</span>, <span class="pl-s1">dl_dw</span>)]</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC278" class="react-file-line html-div" data-testid="code-cell" data-line-number="278" style="position:relative"> </div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC279" class="react-file-line html-div" data-testid="code-cell" data-line-number="279" style="position:relative"> <span class="pl-c"># Update weights</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC280" class="react-file-line html-div" data-testid="code-cell" data-line-number="280" style="position:relative"> <span class="pl-s1">self</span>.<span class="pl-s1">optimizer</span>.<span class="pl-en">apply_gradients</span>(<span class="pl-en">zip</span>(<span class="pl-s1">grads</span>, <span class="pl-s1">trainable_vars</span>))</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC281" class="react-file-line html-div" data-testid="code-cell" data-line-number="281" style="position:relative"> </div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC282" class="react-file-line html-div" data-testid="code-cell" data-line-number="282" style="position:relative"> <span class="pl-c"># Update metrics (includes the metric that tracks the loss)</span></div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC283" class="react-file-line html-div" data-testid="code-cell" data-line-number="283" style="position:relative"> <span class="pl-k">for</span> <span class="pl-s1">metric</span> <span class="pl-c1">in</span> <span class="pl-s1">self</span>.<span class="pl-s1">metrics</span>:</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC284" class="react-file-line html-div" data-testid="code-cell" data-line-number="284" style="position:relative"> <span class="pl-k">if</span> <span class="pl-s1">metric</span>.<span class="pl-s1">name</span> <span class="pl-c1">==</span> <span class="pl-s">"loss"</span>:</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC285" class="react-file-line html-div" data-testid="code-cell" data-line-number="285" style="position:relative"> <span class="pl-s1">metric</span>.<span class="pl-en">update_state</span>(<span class="pl-s1">loss</span>)</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC286" class="react-file-line html-div" data-testid="code-cell" data-line-number="286" style="position:relative"> <span class="pl-k">else</span>:</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC287" class="react-file-line html-div" data-testid="code-cell" data-line-number="287" style="position:relative"> <span class="pl-s1">metric</span>.<span class="pl-en">update_state</span>(<span class="pl-s1">targets</span>, <span class="pl-s1">y_pred</span>)</div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC288" class="react-file-line html-div" data-testid="code-cell" data-line-number="288" style="position:relative"> </div></div></div><div class="child-of-line-260 child-of-line-261 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC289" class="react-file-line html-div" data-testid="code-cell" data-line-number="289" style="position:relative"> <span class="pl-c"># Return a dict mapping metric names to current value</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC290" class="react-file-line html-div" data-testid="code-cell" data-line-number="290" style="position:relative"> <span class="pl-k">return</span> {<span class="pl-s1">m</span>.<span class="pl-s1">name</span>: <span class="pl-s1">m</span>.<span class="pl-en">result</span>() <span class="pl-k">for</span> <span class="pl-s1">m</span> <span class="pl-c1">in</span> <span class="pl-s1">self</span>.<span class="pl-s1">metrics</span>}</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC291" class="react-file-line html-div" data-testid="code-cell" data-line-number="291" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC292" class="react-file-line html-div" data-testid="code-cell" data-line-number="292" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC293" class="react-file-line html-div" data-testid="code-cell" data-line-number="293" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC294" class="react-file-line html-div" data-testid="code-cell" data-line-number="294" style="position:relative"><span class="pl-s">Let's train a one-layer model on MNIST with this custom loss function.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC295" class="react-file-line html-div" data-testid="code-cell" data-line-number="295" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC296" class="react-file-line html-div" data-testid="code-cell" data-line-number="296" style="position:relative"><span class="pl-s">We pick, somewhat at random, a batch size of 1024 and a learning rate of 0.1. The general</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC297" class="react-file-line html-div" data-testid="code-cell" data-line-number="297" style="position:relative"><span class="pl-s">idea being to use larger batches and a larger learning rate than usual, since our</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC298" class="react-file-line html-div" data-testid="code-cell" data-line-number="298" style="position:relative"><span class="pl-s">"improved" gradients should lead us to quicker convergence.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC299" class="react-file-line html-div" data-testid="code-cell" data-line-number="299" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC300" class="react-file-line html-div" data-testid="code-cell" data-line-number="300" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC301" class="react-file-line html-div" data-testid="code-cell" data-line-number="301" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC302" class="react-file-line html-div" data-testid="code-cell" data-line-number="302" style="position:relative"><span class="pl-c"># Construct an instance of MyModel</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC303" class="react-file-line html-div" data-testid="code-cell" data-line-number="303" style="position:relative"><span class="pl-k">def</span> <span class="pl-en">get_model</span>():</div></div></div><div class="child-of-line-302 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC304" class="react-file-line html-div" data-testid="code-cell" data-line-number="304" style="position:relative"> <span class="pl-s1">inputs</span> <span class="pl-c1">=</span> <span class="pl-s1">keras</span>.<span class="pl-v">Input</span>(<span class="pl-s1">shape</span><span class="pl-c1">=</span>(<span class="pl-c1">784</span>,))</div></div></div><div class="child-of-line-302 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC305" class="react-file-line html-div" data-testid="code-cell" data-line-number="305" style="position:relative"> <span class="pl-s1">intermediate</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-v">Dense</span>(<span class="pl-c1">256</span>, <span class="pl-s1">activation</span><span class="pl-c1">=</span><span class="pl-s">"relu"</span>)(<span class="pl-s1">inputs</span>)</div></div></div><div class="child-of-line-302 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC306" class="react-file-line html-div" data-testid="code-cell" data-line-number="306" style="position:relative"> <span class="pl-s1">outputs</span> <span class="pl-c1">=</span> <span class="pl-s1">layers</span>.<span class="pl-v">Dense</span>(<span class="pl-c1">10</span>, <span class="pl-s1">activation</span><span class="pl-c1">=</span><span class="pl-s">"softmax"</span>)(<span class="pl-s1">intermediate</span>)</div></div></div><div class="child-of-line-302 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC307" class="react-file-line html-div" data-testid="code-cell" data-line-number="307" style="position:relative"> <span class="pl-s1">model</span> <span class="pl-c1">=</span> <span class="pl-v">MyModel</span>(<span class="pl-s1">inputs</span>, <span class="pl-s1">outputs</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC308" class="react-file-line html-div" data-testid="code-cell" data-line-number="308" style="position:relative"> <span class="pl-k">return</span> <span class="pl-s1">model</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC309" class="react-file-line html-div" data-testid="code-cell" data-line-number="309" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC310" class="react-file-line html-div" data-testid="code-cell" data-line-number="310" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC311" class="react-file-line html-div" data-testid="code-cell" data-line-number="311" style="position:relative"><span class="pl-c"># Prepare data</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC312" class="react-file-line html-div" data-testid="code-cell" data-line-number="312" style="position:relative">(<span class="pl-s1">x_train</span>, <span class="pl-s1">y_train</span>), <span class="pl-s1">_</span> <span class="pl-c1">=</span> <span class="pl-s1">keras</span>.<span class="pl-s1">datasets</span>.<span class="pl-s1">mnist</span>.<span class="pl-en">load_data</span>()</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC313" class="react-file-line html-div" data-testid="code-cell" data-line-number="313" style="position:relative"><span class="pl-s1">x_train</span> <span class="pl-c1">=</span> <span class="pl-s1">np</span>.<span class="pl-en">reshape</span>(<span class="pl-s1">x_train</span>, (<span class="pl-c1">-</span><span class="pl-c1">1</span>, <span class="pl-c1">784</span>)) <span class="pl-c1">/</span> <span class="pl-c1">255</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC314" class="react-file-line html-div" data-testid="code-cell" data-line-number="314" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC315" class="react-file-line html-div" data-testid="code-cell" data-line-number="315" style="position:relative"><span class="pl-s1">model</span> <span class="pl-c1">=</span> <span class="pl-en">get_model</span>()</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC316" class="react-file-line html-div" data-testid="code-cell" data-line-number="316" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">compile</span>(</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC317" class="react-file-line html-div" data-testid="code-cell" data-line-number="317" style="position:relative"> <span class="pl-s1">optimizer</span><span class="pl-c1">=</span><span class="pl-s1">keras</span>.<span class="pl-s1">optimizers</span>.<span class="pl-v">SGD</span>(<span class="pl-s1">learning_rate</span><span class="pl-c1">=</span><span class="pl-c1">1e-2</span>),</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC318" class="react-file-line html-div" data-testid="code-cell" data-line-number="318" style="position:relative"> <span class="pl-s1">loss</span><span class="pl-c1">=</span><span class="pl-s">"sparse_categorical_crossentropy"</span>,</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC319" class="react-file-line html-div" data-testid="code-cell" data-line-number="319" style="position:relative">)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC320" class="react-file-line html-div" data-testid="code-cell" data-line-number="320" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">fit</span>(<span class="pl-s1">x_train</span>, <span class="pl-s1">y_train</span>, <span class="pl-s1">epochs</span><span class="pl-c1">=</span><span class="pl-c1">3</span>, <span class="pl-s1">batch_size</span><span class="pl-c1">=</span><span class="pl-c1">1024</span>, <span class="pl-s1">validation_split</span><span class="pl-c1">=</span><span class="pl-c1">0.1</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC321" class="react-file-line html-div" data-testid="code-cell" data-line-number="321" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC322" class="react-file-line html-div" data-testid="code-cell" data-line-number="322" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC323" class="react-file-line html-div" data-testid="code-cell" data-line-number="323" style="position:relative"><span class="pl-s">Oh no, it doesn't converge! Something is not working as planned.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC324" class="react-file-line html-div" data-testid="code-cell" data-line-number="324" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC325" class="react-file-line html-div" data-testid="code-cell" data-line-number="325" style="position:relative"><span class="pl-s">Time for some step-by-step printing of what's going on with our gradients.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC326" class="react-file-line html-div" data-testid="code-cell" data-line-number="326" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC327" class="react-file-line html-div" data-testid="code-cell" data-line-number="327" style="position:relative"><span class="pl-s">We add various `print` statements in the `train_step` method, and we make sure to pass</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC328" class="react-file-line html-div" data-testid="code-cell" data-line-number="328" style="position:relative"><span class="pl-s">`run_eagerly=True` to `compile()` to run our code step-by-step, eagerly.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC329" class="react-file-line html-div" data-testid="code-cell" data-line-number="329" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC330" class="react-file-line html-div" data-testid="code-cell" data-line-number="330" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC331" class="react-file-line html-div" data-testid="code-cell" data-line-number="331" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC332" class="react-file-line html-div" data-testid="code-cell" data-line-number="332" style="position:relative"><span class="pl-k">class</span> <span class="pl-v">MyModel</span>(<span class="pl-s1">keras</span>.<span class="pl-v">Model</span>):</div></div></div><div class="child-of-line-331 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC333" class="react-file-line html-div" data-testid="code-cell" data-line-number="333" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">train_step</span>(<span class="pl-s1">self</span>, <span class="pl-s1">data</span>):</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC334" class="react-file-line html-div" data-testid="code-cell" data-line-number="334" style="position:relative"> <span class="pl-en">print</span>()</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC335" class="react-file-line html-div" data-testid="code-cell" data-line-number="335" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"----Start of step: %d"</span> <span class="pl-c1">%</span> (<span class="pl-s1">self</span>.<span class="pl-s1">step_counter</span>,))</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC336" class="react-file-line html-div" data-testid="code-cell" data-line-number="336" style="position:relative"> <span class="pl-s1">self</span>.<span class="pl-s1">step_counter</span> <span class="pl-c1">+=</span> <span class="pl-c1">1</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC337" class="react-file-line html-div" data-testid="code-cell" data-line-number="337" style="position:relative"> </div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC338" class="react-file-line html-div" data-testid="code-cell" data-line-number="338" style="position:relative"> <span class="pl-s1">inputs</span>, <span class="pl-s1">targets</span> <span class="pl-c1">=</span> <span class="pl-s1">data</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC339" class="react-file-line html-div" data-testid="code-cell" data-line-number="339" style="position:relative"> <span class="pl-s1">trainable_vars</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-s1">trainable_variables</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC340" class="react-file-line html-div" data-testid="code-cell" data-line-number="340" style="position:relative"> <span class="pl-k">with</span> <span class="pl-s1">tf</span>.<span class="pl-v">GradientTape</span>() <span class="pl-k">as</span> <span class="pl-s1">tape2</span>:</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC341" class="react-file-line html-div" data-testid="code-cell" data-line-number="341" style="position:relative"> <span class="pl-k">with</span> <span class="pl-s1">tf</span>.<span class="pl-v">GradientTape</span>() <span class="pl-k">as</span> <span class="pl-s1">tape1</span>:</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC342" class="react-file-line html-div" data-testid="code-cell" data-line-number="342" style="position:relative"> <span class="pl-s1">y_pred</span> <span class="pl-c1">=</span> <span class="pl-en">self</span>(<span class="pl-s1">inputs</span>, <span class="pl-s1">training</span><span class="pl-c1">=</span><span class="pl-c1">True</span>) <span class="pl-c"># Forward pass</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC343" class="react-file-line html-div" data-testid="code-cell" data-line-number="343" style="position:relative"> <span class="pl-c"># Compute the loss value</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC344" class="react-file-line html-div" data-testid="code-cell" data-line-number="344" style="position:relative"> <span class="pl-c"># (the loss function is configured in `compile()`)</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC345" class="react-file-line html-div" data-testid="code-cell" data-line-number="345" style="position:relative"> <span class="pl-s1">loss</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-en">compute_loss</span>(<span class="pl-s1">y</span><span class="pl-c1">=</span><span class="pl-s1">targets</span>, <span class="pl-s1">y_pred</span><span class="pl-c1">=</span><span class="pl-s1">y_pred</span>)</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC346" class="react-file-line html-div" data-testid="code-cell" data-line-number="346" style="position:relative"> <span class="pl-c"># Compute first-order gradients</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC347" class="react-file-line html-div" data-testid="code-cell" data-line-number="347" style="position:relative"> <span class="pl-s1">dl_dw</span> <span class="pl-c1">=</span> <span class="pl-s1">tape1</span>.<span class="pl-en">gradient</span>(<span class="pl-s1">loss</span>, <span class="pl-s1">trainable_vars</span>)</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC348" class="react-file-line html-div" data-testid="code-cell" data-line-number="348" style="position:relative"> <span class="pl-c"># Compute second-order gradients</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC349" class="react-file-line html-div" data-testid="code-cell" data-line-number="349" style="position:relative"> <span class="pl-s1">d2l_dw2</span> <span class="pl-c1">=</span> <span class="pl-s1">tape2</span>.<span class="pl-en">gradient</span>(<span class="pl-s1">dl_dw</span>, <span class="pl-s1">trainable_vars</span>)</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC350" class="react-file-line html-div" data-testid="code-cell" data-line-number="350" style="position:relative"> </div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC351" class="react-file-line html-div" data-testid="code-cell" data-line-number="351" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"Max of dl_dw[0]: %.4f"</span> <span class="pl-c1">%</span> <span class="pl-s1">tf</span>.<span class="pl-en">reduce_max</span>(<span class="pl-s1">dl_dw</span>[<span class="pl-c1">0</span>]))</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC352" class="react-file-line html-div" data-testid="code-cell" data-line-number="352" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"Min of dl_dw[0]: %.4f"</span> <span class="pl-c1">%</span> <span class="pl-s1">tf</span>.<span class="pl-en">reduce_min</span>(<span class="pl-s1">dl_dw</span>[<span class="pl-c1">0</span>]))</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC353" class="react-file-line html-div" data-testid="code-cell" data-line-number="353" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"Mean of dl_dw[0]: %.4f"</span> <span class="pl-c1">%</span> <span class="pl-s1">tf</span>.<span class="pl-en">reduce_mean</span>(<span class="pl-s1">dl_dw</span>[<span class="pl-c1">0</span>]))</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC354" class="react-file-line html-div" data-testid="code-cell" data-line-number="354" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"-"</span>)</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC355" class="react-file-line html-div" data-testid="code-cell" data-line-number="355" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"Max of d2l_dw2[0]: %.4f"</span> <span class="pl-c1">%</span> <span class="pl-s1">tf</span>.<span class="pl-en">reduce_max</span>(<span class="pl-s1">d2l_dw2</span>[<span class="pl-c1">0</span>]))</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC356" class="react-file-line html-div" data-testid="code-cell" data-line-number="356" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"Min of d2l_dw2[0]: %.4f"</span> <span class="pl-c1">%</span> <span class="pl-s1">tf</span>.<span class="pl-en">reduce_min</span>(<span class="pl-s1">d2l_dw2</span>[<span class="pl-c1">0</span>]))</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC357" class="react-file-line html-div" data-testid="code-cell" data-line-number="357" style="position:relative"> <span class="pl-en">print</span>(<span class="pl-s">"Mean of d2l_dw2[0]: %.4f"</span> <span class="pl-c1">%</span> <span class="pl-s1">tf</span>.<span class="pl-en">reduce_mean</span>(<span class="pl-s1">d2l_dw2</span>[<span class="pl-c1">0</span>]))</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC358" class="react-file-line html-div" data-testid="code-cell" data-line-number="358" style="position:relative"> </div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC359" class="react-file-line html-div" data-testid="code-cell" data-line-number="359" style="position:relative"> <span class="pl-c"># Combine first-order and second-order gradients</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC360" class="react-file-line html-div" data-testid="code-cell" data-line-number="360" style="position:relative"> <span class="pl-s1">grads</span> <span class="pl-c1">=</span> [<span class="pl-c1">0.5</span> <span class="pl-c1">*</span> <span class="pl-s1">w1</span> <span class="pl-c1">+</span> <span class="pl-c1">0.5</span> <span class="pl-c1">*</span> <span class="pl-s1">w2</span> <span class="pl-k">for</span> (<span class="pl-s1">w1</span>, <span class="pl-s1">w2</span>) <span class="pl-c1">in</span> <span class="pl-en">zip</span>(<span class="pl-s1">d2l_dw2</span>, <span class="pl-s1">dl_dw</span>)]</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC361" class="react-file-line html-div" data-testid="code-cell" data-line-number="361" style="position:relative"> </div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC362" class="react-file-line html-div" data-testid="code-cell" data-line-number="362" style="position:relative"> <span class="pl-c"># Update weights</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC363" class="react-file-line html-div" data-testid="code-cell" data-line-number="363" style="position:relative"> <span class="pl-s1">self</span>.<span class="pl-s1">optimizer</span>.<span class="pl-en">apply_gradients</span>(<span class="pl-en">zip</span>(<span class="pl-s1">grads</span>, <span class="pl-s1">trainable_vars</span>))</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC364" class="react-file-line html-div" data-testid="code-cell" data-line-number="364" style="position:relative"> </div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC365" class="react-file-line html-div" data-testid="code-cell" data-line-number="365" style="position:relative"> <span class="pl-c"># Update metrics (includes the metric that tracks the loss)</span></div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC366" class="react-file-line html-div" data-testid="code-cell" data-line-number="366" style="position:relative"> <span class="pl-k">for</span> <span class="pl-s1">metric</span> <span class="pl-c1">in</span> <span class="pl-s1">self</span>.<span class="pl-s1">metrics</span>:</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC367" class="react-file-line html-div" data-testid="code-cell" data-line-number="367" style="position:relative"> <span class="pl-k">if</span> <span class="pl-s1">metric</span>.<span class="pl-s1">name</span> <span class="pl-c1">==</span> <span class="pl-s">"loss"</span>:</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC368" class="react-file-line html-div" data-testid="code-cell" data-line-number="368" style="position:relative"> <span class="pl-s1">metric</span>.<span class="pl-en">update_state</span>(<span class="pl-s1">loss</span>)</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC369" class="react-file-line html-div" data-testid="code-cell" data-line-number="369" style="position:relative"> <span class="pl-k">else</span>:</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC370" class="react-file-line html-div" data-testid="code-cell" data-line-number="370" style="position:relative"> <span class="pl-s1">metric</span>.<span class="pl-en">update_state</span>(<span class="pl-s1">targets</span>, <span class="pl-s1">y_pred</span>)</div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC371" class="react-file-line html-div" data-testid="code-cell" data-line-number="371" style="position:relative"> </div></div></div><div class="child-of-line-331 child-of-line-332 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC372" class="react-file-line html-div" data-testid="code-cell" data-line-number="372" style="position:relative"> <span class="pl-c"># Return a dict mapping metric names to current value</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC373" class="react-file-line html-div" data-testid="code-cell" data-line-number="373" style="position:relative"> <span class="pl-k">return</span> {<span class="pl-s1">m</span>.<span class="pl-s1">name</span>: <span class="pl-s1">m</span>.<span class="pl-en">result</span>() <span class="pl-k">for</span> <span class="pl-s1">m</span> <span class="pl-c1">in</span> <span class="pl-s1">self</span>.<span class="pl-s1">metrics</span>}</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC374" class="react-file-line html-div" data-testid="code-cell" data-line-number="374" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC375" class="react-file-line html-div" data-testid="code-cell" data-line-number="375" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC376" class="react-file-line html-div" data-testid="code-cell" data-line-number="376" style="position:relative"><span class="pl-s1">model</span> <span class="pl-c1">=</span> <span class="pl-en">get_model</span>()</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC377" class="react-file-line html-div" data-testid="code-cell" data-line-number="377" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">compile</span>(</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC378" class="react-file-line html-div" data-testid="code-cell" data-line-number="378" style="position:relative"> <span class="pl-s1">optimizer</span><span class="pl-c1">=</span><span class="pl-s1">keras</span>.<span class="pl-s1">optimizers</span>.<span class="pl-v">SGD</span>(<span class="pl-s1">learning_rate</span><span class="pl-c1">=</span><span class="pl-c1">1e-2</span>),</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC379" class="react-file-line html-div" data-testid="code-cell" data-line-number="379" style="position:relative"> <span class="pl-s1">loss</span><span class="pl-c1">=</span><span class="pl-s">"sparse_categorical_crossentropy"</span>,</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC380" class="react-file-line html-div" data-testid="code-cell" data-line-number="380" style="position:relative"> <span class="pl-s1">metrics</span><span class="pl-c1">=</span>[<span class="pl-s">"sparse_categorical_accuracy"</span>],</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC381" class="react-file-line html-div" data-testid="code-cell" data-line-number="381" style="position:relative"> <span class="pl-s1">run_eagerly</span><span class="pl-c1">=</span><span class="pl-c1">True</span>,</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC382" class="react-file-line html-div" data-testid="code-cell" data-line-number="382" style="position:relative">)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC383" class="react-file-line html-div" data-testid="code-cell" data-line-number="383" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-s1">step_counter</span> <span class="pl-c1">=</span> <span class="pl-c1">0</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC384" class="react-file-line html-div" data-testid="code-cell" data-line-number="384" style="position:relative"><span class="pl-c"># We pass epochs=1 and steps_per_epoch=10 to only run 10 steps of training.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC385" class="react-file-line html-div" data-testid="code-cell" data-line-number="385" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">fit</span>(<span class="pl-s1">x_train</span>, <span class="pl-s1">y_train</span>, <span class="pl-s1">epochs</span><span class="pl-c1">=</span><span class="pl-c1">1</span>, <span class="pl-s1">batch_size</span><span class="pl-c1">=</span><span class="pl-c1">1024</span>, <span class="pl-s1">verbose</span><span class="pl-c1">=</span><span class="pl-c1">0</span>, <span class="pl-s1">steps_per_epoch</span><span class="pl-c1">=</span><span class="pl-c1">10</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC386" class="react-file-line html-div" data-testid="code-cell" data-line-number="386" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC387" class="react-file-line html-div" data-testid="code-cell" data-line-number="387" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC388" class="react-file-line html-div" data-testid="code-cell" data-line-number="388" style="position:relative"><span class="pl-s">What did we learn?</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC389" class="react-file-line html-div" data-testid="code-cell" data-line-number="389" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC390" class="react-file-line html-div" data-testid="code-cell" data-line-number="390" style="position:relative"><span class="pl-s">- The first order and second order gradients can have values that differ by orders of</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC391" class="react-file-line html-div" data-testid="code-cell" data-line-number="391" style="position:relative"><span class="pl-s">magnitudes.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC392" class="react-file-line html-div" data-testid="code-cell" data-line-number="392" style="position:relative"><span class="pl-s">- Sometimes, they may not even have the same sign.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC393" class="react-file-line html-div" data-testid="code-cell" data-line-number="393" style="position:relative"><span class="pl-s">- Their values can vary greatly at each step.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC394" class="react-file-line html-div" data-testid="code-cell" data-line-number="394" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC395" class="react-file-line html-div" data-testid="code-cell" data-line-number="395" style="position:relative"><span class="pl-s">This leads us to an obvious idea: let's normalize the gradients before combining them.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC396" class="react-file-line html-div" data-testid="code-cell" data-line-number="396" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC397" class="react-file-line html-div" data-testid="code-cell" data-line-number="397" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC398" class="react-file-line html-div" data-testid="code-cell" data-line-number="398" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC399" class="react-file-line html-div" data-testid="code-cell" data-line-number="399" style="position:relative"><span class="pl-k">class</span> <span class="pl-v">MyModel</span>(<span class="pl-s1">keras</span>.<span class="pl-v">Model</span>):</div></div></div><div class="child-of-line-398 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC400" class="react-file-line html-div" data-testid="code-cell" data-line-number="400" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">train_step</span>(<span class="pl-s1">self</span>, <span class="pl-s1">data</span>):</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC401" class="react-file-line html-div" data-testid="code-cell" data-line-number="401" style="position:relative"> <span class="pl-s1">inputs</span>, <span class="pl-s1">targets</span> <span class="pl-c1">=</span> <span class="pl-s1">data</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC402" class="react-file-line html-div" data-testid="code-cell" data-line-number="402" style="position:relative"> <span class="pl-s1">trainable_vars</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-s1">trainable_variables</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC403" class="react-file-line html-div" data-testid="code-cell" data-line-number="403" style="position:relative"> <span class="pl-k">with</span> <span class="pl-s1">tf</span>.<span class="pl-v">GradientTape</span>() <span class="pl-k">as</span> <span class="pl-s1">tape2</span>:</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC404" class="react-file-line html-div" data-testid="code-cell" data-line-number="404" style="position:relative"> <span class="pl-k">with</span> <span class="pl-s1">tf</span>.<span class="pl-v">GradientTape</span>() <span class="pl-k">as</span> <span class="pl-s1">tape1</span>:</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC405" class="react-file-line html-div" data-testid="code-cell" data-line-number="405" style="position:relative"> <span class="pl-s1">y_pred</span> <span class="pl-c1">=</span> <span class="pl-en">self</span>(<span class="pl-s1">inputs</span>, <span class="pl-s1">training</span><span class="pl-c1">=</span><span class="pl-c1">True</span>) <span class="pl-c"># Forward pass</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC406" class="react-file-line html-div" data-testid="code-cell" data-line-number="406" style="position:relative"> <span class="pl-c"># Compute the loss value</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC407" class="react-file-line html-div" data-testid="code-cell" data-line-number="407" style="position:relative"> <span class="pl-c"># (the loss function is configured in `compile()`)</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC408" class="react-file-line html-div" data-testid="code-cell" data-line-number="408" style="position:relative"> <span class="pl-s1">loss</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-en">compute_loss</span>(<span class="pl-s1">y</span><span class="pl-c1">=</span><span class="pl-s1">targets</span>, <span class="pl-s1">y_pred</span><span class="pl-c1">=</span><span class="pl-s1">y_pred</span>)</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC409" class="react-file-line html-div" data-testid="code-cell" data-line-number="409" style="position:relative"> <span class="pl-c"># Compute first-order gradients</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC410" class="react-file-line html-div" data-testid="code-cell" data-line-number="410" style="position:relative"> <span class="pl-s1">dl_dw</span> <span class="pl-c1">=</span> <span class="pl-s1">tape1</span>.<span class="pl-en">gradient</span>(<span class="pl-s1">loss</span>, <span class="pl-s1">trainable_vars</span>)</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC411" class="react-file-line html-div" data-testid="code-cell" data-line-number="411" style="position:relative"> <span class="pl-c"># Compute second-order gradients</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC412" class="react-file-line html-div" data-testid="code-cell" data-line-number="412" style="position:relative"> <span class="pl-s1">d2l_dw2</span> <span class="pl-c1">=</span> <span class="pl-s1">tape2</span>.<span class="pl-en">gradient</span>(<span class="pl-s1">dl_dw</span>, <span class="pl-s1">trainable_vars</span>)</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC413" class="react-file-line html-div" data-testid="code-cell" data-line-number="413" style="position:relative"> </div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC414" class="react-file-line html-div" data-testid="code-cell" data-line-number="414" style="position:relative"> <span class="pl-s1">dl_dw</span> <span class="pl-c1">=</span> [<span class="pl-s1">tf</span>.<span class="pl-s1">math</span>.<span class="pl-en">l2_normalize</span>(<span class="pl-s1">w</span>) <span class="pl-k">for</span> <span class="pl-s1">w</span> <span class="pl-c1">in</span> <span class="pl-s1">dl_dw</span>]</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC415" class="react-file-line html-div" data-testid="code-cell" data-line-number="415" style="position:relative"> <span class="pl-s1">d2l_dw2</span> <span class="pl-c1">=</span> [<span class="pl-s1">tf</span>.<span class="pl-s1">math</span>.<span class="pl-en">l2_normalize</span>(<span class="pl-s1">w</span>) <span class="pl-k">for</span> <span class="pl-s1">w</span> <span class="pl-c1">in</span> <span class="pl-s1">d2l_dw2</span>]</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC416" class="react-file-line html-div" data-testid="code-cell" data-line-number="416" style="position:relative"> </div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC417" class="react-file-line html-div" data-testid="code-cell" data-line-number="417" style="position:relative"> <span class="pl-c"># Combine first-order and second-order gradients</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC418" class="react-file-line html-div" data-testid="code-cell" data-line-number="418" style="position:relative"> <span class="pl-s1">grads</span> <span class="pl-c1">=</span> [<span class="pl-c1">0.5</span> <span class="pl-c1">*</span> <span class="pl-s1">w1</span> <span class="pl-c1">+</span> <span class="pl-c1">0.5</span> <span class="pl-c1">*</span> <span class="pl-s1">w2</span> <span class="pl-k">for</span> (<span class="pl-s1">w1</span>, <span class="pl-s1">w2</span>) <span class="pl-c1">in</span> <span class="pl-en">zip</span>(<span class="pl-s1">d2l_dw2</span>, <span class="pl-s1">dl_dw</span>)]</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC419" class="react-file-line html-div" data-testid="code-cell" data-line-number="419" style="position:relative"> </div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC420" class="react-file-line html-div" data-testid="code-cell" data-line-number="420" style="position:relative"> <span class="pl-c"># Update weights</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC421" class="react-file-line html-div" data-testid="code-cell" data-line-number="421" style="position:relative"> <span class="pl-s1">self</span>.<span class="pl-s1">optimizer</span>.<span class="pl-en">apply_gradients</span>(<span class="pl-en">zip</span>(<span class="pl-s1">grads</span>, <span class="pl-s1">trainable_vars</span>))</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC422" class="react-file-line html-div" data-testid="code-cell" data-line-number="422" style="position:relative"> </div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC423" class="react-file-line html-div" data-testid="code-cell" data-line-number="423" style="position:relative"> <span class="pl-c"># Update metrics (includes the metric that tracks the loss)</span></div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC424" class="react-file-line html-div" data-testid="code-cell" data-line-number="424" style="position:relative"> <span class="pl-k">for</span> <span class="pl-s1">metric</span> <span class="pl-c1">in</span> <span class="pl-s1">self</span>.<span class="pl-s1">metrics</span>:</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC425" class="react-file-line html-div" data-testid="code-cell" data-line-number="425" style="position:relative"> <span class="pl-k">if</span> <span class="pl-s1">metric</span>.<span class="pl-s1">name</span> <span class="pl-c1">==</span> <span class="pl-s">"loss"</span>:</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC426" class="react-file-line html-div" data-testid="code-cell" data-line-number="426" style="position:relative"> <span class="pl-s1">metric</span>.<span class="pl-en">update_state</span>(<span class="pl-s1">loss</span>)</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC427" class="react-file-line html-div" data-testid="code-cell" data-line-number="427" style="position:relative"> <span class="pl-k">else</span>:</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC428" class="react-file-line html-div" data-testid="code-cell" data-line-number="428" style="position:relative"> <span class="pl-s1">metric</span>.<span class="pl-en">update_state</span>(<span class="pl-s1">targets</span>, <span class="pl-s1">y_pred</span>)</div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC429" class="react-file-line html-div" data-testid="code-cell" data-line-number="429" style="position:relative"> </div></div></div><div class="child-of-line-398 child-of-line-399 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC430" class="react-file-line html-div" data-testid="code-cell" data-line-number="430" style="position:relative"> <span class="pl-c"># Return a dict mapping metric names to current value</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC431" class="react-file-line html-div" data-testid="code-cell" data-line-number="431" style="position:relative"> <span class="pl-k">return</span> {<span class="pl-s1">m</span>.<span class="pl-s1">name</span>: <span class="pl-s1">m</span>.<span class="pl-en">result</span>() <span class="pl-k">for</span> <span class="pl-s1">m</span> <span class="pl-c1">in</span> <span class="pl-s1">self</span>.<span class="pl-s1">metrics</span>}</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC432" class="react-file-line html-div" data-testid="code-cell" data-line-number="432" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC433" class="react-file-line html-div" data-testid="code-cell" data-line-number="433" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC434" class="react-file-line html-div" data-testid="code-cell" data-line-number="434" style="position:relative"><span class="pl-s1">model</span> <span class="pl-c1">=</span> <span class="pl-en">get_model</span>()</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC435" class="react-file-line html-div" data-testid="code-cell" data-line-number="435" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">compile</span>(</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC436" class="react-file-line html-div" data-testid="code-cell" data-line-number="436" style="position:relative"> <span class="pl-s1">optimizer</span><span class="pl-c1">=</span><span class="pl-s1">keras</span>.<span class="pl-s1">optimizers</span>.<span class="pl-v">SGD</span>(<span class="pl-s1">learning_rate</span><span class="pl-c1">=</span><span class="pl-c1">1e-2</span>),</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC437" class="react-file-line html-div" data-testid="code-cell" data-line-number="437" style="position:relative"> <span class="pl-s1">loss</span><span class="pl-c1">=</span><span class="pl-s">"sparse_categorical_crossentropy"</span>,</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC438" class="react-file-line html-div" data-testid="code-cell" data-line-number="438" style="position:relative"> <span class="pl-s1">metrics</span><span class="pl-c1">=</span>[<span class="pl-s">"sparse_categorical_accuracy"</span>],</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC439" class="react-file-line html-div" data-testid="code-cell" data-line-number="439" style="position:relative">)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC440" class="react-file-line html-div" data-testid="code-cell" data-line-number="440" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">fit</span>(<span class="pl-s1">x_train</span>, <span class="pl-s1">y_train</span>, <span class="pl-s1">epochs</span><span class="pl-c1">=</span><span class="pl-c1">5</span>, <span class="pl-s1">batch_size</span><span class="pl-c1">=</span><span class="pl-c1">1024</span>, <span class="pl-s1">validation_split</span><span class="pl-c1">=</span><span class="pl-c1">0.1</span>)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC441" class="react-file-line html-div" data-testid="code-cell" data-line-number="441" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC442" class="react-file-line html-div" data-testid="code-cell" data-line-number="442" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC443" class="react-file-line html-div" data-testid="code-cell" data-line-number="443" style="position:relative"><span class="pl-s">Now, training converges! It doesn't work well at all, but at least the model learns</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC444" class="react-file-line html-div" data-testid="code-cell" data-line-number="444" style="position:relative"><span class="pl-s">something.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC445" class="react-file-line html-div" data-testid="code-cell" data-line-number="445" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC446" class="react-file-line html-div" data-testid="code-cell" data-line-number="446" style="position:relative"><span class="pl-s">After spending a few minutes tuning parameters, we get to the following configuration</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC447" class="react-file-line html-div" data-testid="code-cell" data-line-number="447" style="position:relative"><span class="pl-s">that works somewhat well (achieves 97% validation accuracy and seems reasonably robust to</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC448" class="react-file-line html-div" data-testid="code-cell" data-line-number="448" style="position:relative"><span class="pl-s">overfitting):</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC449" class="react-file-line html-div" data-testid="code-cell" data-line-number="449" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC450" class="react-file-line html-div" data-testid="code-cell" data-line-number="450" style="position:relative"><span class="pl-s">- Use `0.2 * w1 + 0.8 * w2` for combining gradients.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC451" class="react-file-line html-div" data-testid="code-cell" data-line-number="451" style="position:relative"><span class="pl-s">- Use a learning rate that decays linearly over time.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC452" class="react-file-line html-div" data-testid="code-cell" data-line-number="452" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC453" class="react-file-line html-div" data-testid="code-cell" data-line-number="453" style="position:relative"><span class="pl-s">I'm not going to say that the idea works -- this isn't at all how you're supposed to do</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC454" class="react-file-line html-div" data-testid="code-cell" data-line-number="454" style="position:relative"><span class="pl-s">second-order optimization (pointers: see the Newton & Gauss-Newton methods, quasi-Newton</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC455" class="react-file-line html-div" data-testid="code-cell" data-line-number="455" style="position:relative"><span class="pl-s">methods, and BFGS). But hopefully this demonstration gave you an idea of how you can</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC456" class="react-file-line html-div" data-testid="code-cell" data-line-number="456" style="position:relative"><span class="pl-s">debug your way out of uncomfortable training situations.</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC457" class="react-file-line html-div" data-testid="code-cell" data-line-number="457" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC458" class="react-file-line html-div" data-testid="code-cell" data-line-number="458" style="position:relative"><span class="pl-s">Remember: use `run_eagerly=True` for debugging what happens in `fit()`. And when your code</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC459" class="react-file-line html-div" data-testid="code-cell" data-line-number="459" style="position:relative"><span class="pl-s">is finally working as expected, make sure to remove this flag in order to get the best</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC460" class="react-file-line html-div" data-testid="code-cell" data-line-number="460" style="position:relative"><span class="pl-s">runtime performance!</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC461" class="react-file-line html-div" data-testid="code-cell" data-line-number="461" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC462" class="react-file-line html-div" data-testid="code-cell" data-line-number="462" style="position:relative"><span class="pl-s">Here's our final training run:</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC463" class="react-file-line html-div" data-testid="code-cell" data-line-number="463" style="position:relative"><span class="pl-s">"""</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC464" class="react-file-line html-div" data-testid="code-cell" data-line-number="464" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC465" class="react-file-line html-div" data-testid="code-cell" data-line-number="465" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC466" class="react-file-line html-div" data-testid="code-cell" data-line-number="466" style="position:relative"><span class="pl-k">class</span> <span class="pl-v">MyModel</span>(<span class="pl-s1">keras</span>.<span class="pl-v">Model</span>):</div></div></div><div class="child-of-line-465 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC467" class="react-file-line html-div" data-testid="code-cell" data-line-number="467" style="position:relative"> <span class="pl-k">def</span> <span class="pl-en">train_step</span>(<span class="pl-s1">self</span>, <span class="pl-s1">data</span>):</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC468" class="react-file-line html-div" data-testid="code-cell" data-line-number="468" style="position:relative"> <span class="pl-s1">inputs</span>, <span class="pl-s1">targets</span> <span class="pl-c1">=</span> <span class="pl-s1">data</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC469" class="react-file-line html-div" data-testid="code-cell" data-line-number="469" style="position:relative"> <span class="pl-s1">trainable_vars</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-s1">trainable_variables</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC470" class="react-file-line html-div" data-testid="code-cell" data-line-number="470" style="position:relative"> <span class="pl-k">with</span> <span class="pl-s1">tf</span>.<span class="pl-v">GradientTape</span>() <span class="pl-k">as</span> <span class="pl-s1">tape2</span>:</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC471" class="react-file-line html-div" data-testid="code-cell" data-line-number="471" style="position:relative"> <span class="pl-k">with</span> <span class="pl-s1">tf</span>.<span class="pl-v">GradientTape</span>() <span class="pl-k">as</span> <span class="pl-s1">tape1</span>:</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC472" class="react-file-line html-div" data-testid="code-cell" data-line-number="472" style="position:relative"> <span class="pl-s1">y_pred</span> <span class="pl-c1">=</span> <span class="pl-en">self</span>(<span class="pl-s1">inputs</span>, <span class="pl-s1">training</span><span class="pl-c1">=</span><span class="pl-c1">True</span>) <span class="pl-c"># Forward pass</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC473" class="react-file-line html-div" data-testid="code-cell" data-line-number="473" style="position:relative"> <span class="pl-c"># Compute the loss value</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC474" class="react-file-line html-div" data-testid="code-cell" data-line-number="474" style="position:relative"> <span class="pl-c"># (the loss function is configured in `compile()`)</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC475" class="react-file-line html-div" data-testid="code-cell" data-line-number="475" style="position:relative"> <span class="pl-s1">loss</span> <span class="pl-c1">=</span> <span class="pl-s1">self</span>.<span class="pl-en">compute_loss</span>(<span class="pl-s1">y</span><span class="pl-c1">=</span><span class="pl-s1">targets</span>, <span class="pl-s1">y_pred</span><span class="pl-c1">=</span><span class="pl-s1">y_pred</span>)</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC476" class="react-file-line html-div" data-testid="code-cell" data-line-number="476" style="position:relative"> <span class="pl-c"># Compute first-order gradients</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC477" class="react-file-line html-div" data-testid="code-cell" data-line-number="477" style="position:relative"> <span class="pl-s1">dl_dw</span> <span class="pl-c1">=</span> <span class="pl-s1">tape1</span>.<span class="pl-en">gradient</span>(<span class="pl-s1">loss</span>, <span class="pl-s1">trainable_vars</span>)</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC478" class="react-file-line html-div" data-testid="code-cell" data-line-number="478" style="position:relative"> <span class="pl-c"># Compute second-order gradients</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC479" class="react-file-line html-div" data-testid="code-cell" data-line-number="479" style="position:relative"> <span class="pl-s1">d2l_dw2</span> <span class="pl-c1">=</span> <span class="pl-s1">tape2</span>.<span class="pl-en">gradient</span>(<span class="pl-s1">dl_dw</span>, <span class="pl-s1">trainable_vars</span>)</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC480" class="react-file-line html-div" data-testid="code-cell" data-line-number="480" style="position:relative"> </div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC481" class="react-file-line html-div" data-testid="code-cell" data-line-number="481" style="position:relative"> <span class="pl-s1">dl_dw</span> <span class="pl-c1">=</span> [<span class="pl-s1">tf</span>.<span class="pl-s1">math</span>.<span class="pl-en">l2_normalize</span>(<span class="pl-s1">w</span>) <span class="pl-k">for</span> <span class="pl-s1">w</span> <span class="pl-c1">in</span> <span class="pl-s1">dl_dw</span>]</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC482" class="react-file-line html-div" data-testid="code-cell" data-line-number="482" style="position:relative"> <span class="pl-s1">d2l_dw2</span> <span class="pl-c1">=</span> [<span class="pl-s1">tf</span>.<span class="pl-s1">math</span>.<span class="pl-en">l2_normalize</span>(<span class="pl-s1">w</span>) <span class="pl-k">for</span> <span class="pl-s1">w</span> <span class="pl-c1">in</span> <span class="pl-s1">d2l_dw2</span>]</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC483" class="react-file-line html-div" data-testid="code-cell" data-line-number="483" style="position:relative"> </div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC484" class="react-file-line html-div" data-testid="code-cell" data-line-number="484" style="position:relative"> <span class="pl-c"># Combine first-order and second-order gradients</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC485" class="react-file-line html-div" data-testid="code-cell" data-line-number="485" style="position:relative"> <span class="pl-s1">grads</span> <span class="pl-c1">=</span> [<span class="pl-c1">0.2</span> <span class="pl-c1">*</span> <span class="pl-s1">w1</span> <span class="pl-c1">+</span> <span class="pl-c1">0.8</span> <span class="pl-c1">*</span> <span class="pl-s1">w2</span> <span class="pl-k">for</span> (<span class="pl-s1">w1</span>, <span class="pl-s1">w2</span>) <span class="pl-c1">in</span> <span class="pl-en">zip</span>(<span class="pl-s1">d2l_dw2</span>, <span class="pl-s1">dl_dw</span>)]</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC486" class="react-file-line html-div" data-testid="code-cell" data-line-number="486" style="position:relative"> </div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC487" class="react-file-line html-div" data-testid="code-cell" data-line-number="487" style="position:relative"> <span class="pl-c"># Update weights</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC488" class="react-file-line html-div" data-testid="code-cell" data-line-number="488" style="position:relative"> <span class="pl-s1">self</span>.<span class="pl-s1">optimizer</span>.<span class="pl-en">apply_gradients</span>(<span class="pl-en">zip</span>(<span class="pl-s1">grads</span>, <span class="pl-s1">trainable_vars</span>))</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC489" class="react-file-line html-div" data-testid="code-cell" data-line-number="489" style="position:relative"> </div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC490" class="react-file-line html-div" data-testid="code-cell" data-line-number="490" style="position:relative"> <span class="pl-c"># Update metrics (includes the metric that tracks the loss)</span></div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC491" class="react-file-line html-div" data-testid="code-cell" data-line-number="491" style="position:relative"> <span class="pl-k">for</span> <span class="pl-s1">metric</span> <span class="pl-c1">in</span> <span class="pl-s1">self</span>.<span class="pl-s1">metrics</span>:</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC492" class="react-file-line html-div" data-testid="code-cell" data-line-number="492" style="position:relative"> <span class="pl-k">if</span> <span class="pl-s1">metric</span>.<span class="pl-s1">name</span> <span class="pl-c1">==</span> <span class="pl-s">"loss"</span>:</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC493" class="react-file-line html-div" data-testid="code-cell" data-line-number="493" style="position:relative"> <span class="pl-s1">metric</span>.<span class="pl-en">update_state</span>(<span class="pl-s1">loss</span>)</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC494" class="react-file-line html-div" data-testid="code-cell" data-line-number="494" style="position:relative"> <span class="pl-k">else</span>:</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC495" class="react-file-line html-div" data-testid="code-cell" data-line-number="495" style="position:relative"> <span class="pl-s1">metric</span>.<span class="pl-en">update_state</span>(<span class="pl-s1">targets</span>, <span class="pl-s1">y_pred</span>)</div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC496" class="react-file-line html-div" data-testid="code-cell" data-line-number="496" style="position:relative"> </div></div></div><div class="child-of-line-465 child-of-line-466 react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC497" class="react-file-line html-div" data-testid="code-cell" data-line-number="497" style="position:relative"> <span class="pl-c"># Return a dict mapping metric names to current value</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC498" class="react-file-line html-div" data-testid="code-cell" data-line-number="498" style="position:relative"> <span class="pl-k">return</span> {<span class="pl-s1">m</span>.<span class="pl-s1">name</span>: <span class="pl-s1">m</span>.<span class="pl-en">result</span>() <span class="pl-k">for</span> <span class="pl-s1">m</span> <span class="pl-c1">in</span> <span class="pl-s1">self</span>.<span class="pl-s1">metrics</span>}</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC499" class="react-file-line html-div" data-testid="code-cell" data-line-number="499" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC500" class="react-file-line html-div" data-testid="code-cell" data-line-number="500" style="position:relative"> </div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC501" class="react-file-line html-div" data-testid="code-cell" data-line-number="501" style="position:relative"><span class="pl-s1">model</span> <span class="pl-c1">=</span> <span class="pl-en">get_model</span>()</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC502" class="react-file-line html-div" data-testid="code-cell" data-line-number="502" style="position:relative"><span class="pl-s1">lr</span> <span class="pl-c1">=</span> <span class="pl-s1">learning_rate</span> <span class="pl-c1">=</span> <span class="pl-s1">keras</span>.<span class="pl-s1">optimizers</span>.<span class="pl-s1">schedules</span>.<span class="pl-v">InverseTimeDecay</span>(</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC503" class="react-file-line html-div" data-testid="code-cell" data-line-number="503" style="position:relative"> <span class="pl-s1">initial_learning_rate</span><span class="pl-c1">=</span><span class="pl-c1">0.1</span>, <span class="pl-s1">decay_steps</span><span class="pl-c1">=</span><span class="pl-c1">25</span>, <span class="pl-s1">decay_rate</span><span class="pl-c1">=</span><span class="pl-c1">0.1</span></div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC504" class="react-file-line html-div" data-testid="code-cell" data-line-number="504" style="position:relative">)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC505" class="react-file-line html-div" data-testid="code-cell" data-line-number="505" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">compile</span>(</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC506" class="react-file-line html-div" data-testid="code-cell" data-line-number="506" style="position:relative"> <span class="pl-s1">optimizer</span><span class="pl-c1">=</span><span class="pl-s1">keras</span>.<span class="pl-s1">optimizers</span>.<span class="pl-v">SGD</span>(<span class="pl-s1">lr</span>),</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC507" class="react-file-line html-div" data-testid="code-cell" data-line-number="507" style="position:relative"> <span class="pl-s1">loss</span><span class="pl-c1">=</span><span class="pl-s">"sparse_categorical_crossentropy"</span>,</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC508" class="react-file-line html-div" data-testid="code-cell" data-line-number="508" style="position:relative"> <span class="pl-s1">metrics</span><span class="pl-c1">=</span>[<span class="pl-s">"sparse_categorical_accuracy"</span>],</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC509" class="react-file-line html-div" data-testid="code-cell" data-line-number="509" style="position:relative">)</div></div></div><div class="react-code-text react-code-line-contents" style="min-height:auto"><div><div id="LC510" class="react-file-line html-div" data-testid="code-cell" data-line-number="510" style="position:relative"><span class="pl-s1">model</span>.<span class="pl-en">fit</span>(<span class="pl-s1">x_train</span>, <span class="pl-s1">y_train</span>, <span class="pl-s1">epochs</span><span class="pl-c1">=</span><span class="pl-c1">50</span>, <span class="pl-s1">batch_size</span><span class="pl-c1">=</span><span class="pl-c1">2048</span>, <span class="pl-s1">validation_split</span><span class="pl-c1">=</span><span class="pl-c1">0.1</span>)</div></div></div></div></div></div><div id="copilot-button-container"></div></div><div id="highlighted-line-menu-container"></div></div></div><button hidden="" data-testid="hotkey-button" data-hotkey-scope="read-only-cursor-text-area"></button><button hidden=""></button></section></div></div></div> <!-- --> <!-- --> </div></div></div><div class="Box-sc-g0xbh4-0"></div></div></div></div></div><div id="find-result-marks-container" 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