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Do Transformers Really Perform Bad for Graph Representation? | Papers With Code

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11.5-11.4 0-5.5-.2-19.9-.3-39.1a102.4 102.4 0 0 1-22.6 2.7c-43.1 0-52.9-33.5-52.9-33.5-10.2-26.5-24.9-33.6-24.9-33.6-19.5-13.7-.1-14.1 1.4-14.1h.1c22.5 2 34.3 23.8 34.3 23.8 11.2 19.6 26.2 25.1 39.6 25.1a63 63 0 0 0 25.6-6c2-14.8 7.8-24.9 14.2-30.7-49.7-5.8-102-25.5-102-113.5 0-25.1 8.7-45.6 23-61.6-2.3-5.8-10-29.2 2.2-60.8a18.64 18.64 0 0 1 5-.5c8.1 0 26.4 3.1 56.6 24.1a208.21 208.21 0 0 1 112.2 0c30.2-21 48.5-24.1 56.6-24.1a18.64 18.64 0 0 1 5 .5c12.2 31.6 4.5 55 2.2 60.8 14.3 16.1 23 36.6 23 61.6 0 88.2-52.4 107.6-102.3 113.3 8 7.1 15.2 21.1 15.2 42.5 0 30.7-.3 55.5-.3 63 0 5.4 3.1 11.5 11.4 11.5a19.35 19.35 0 0 0 4-.4C415.9 449.2 480 363.1 480 261.7 480 134.9 379.7 32 256 32z"/></svg></span> dpstart/graphormer_new </a> </div> </div> <div class="col-md-3"> <div class="paper-impl-cell"> <span class=" icon-wrapper icon-ion" data-name="star"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M394 480a16 16 0 0 1-9.39-3L256 383.76 127.39 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data-name="star"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M394 480a16 16 0 0 1-9.39-3L256 383.76 127.39 477a16 16 0 0 1-24.55-18.08L153 310.35 23 221.2a16 16 0 0 1 9-29.2h160.38l48.4-148.95a16 16 0 0 1 30.44 0l48.4 149H480a16 16 0 0 1 9.05 29.2L359 310.35l50.13 148.53A16 16 0 0 1 394 480z"/></svg></span> 12 </div> </div> <div class="col-md-2"> <div class="paper-impl-cell"> <img class="" src="https://production-assets.paperswithcode.com/perf/images/frameworks/pytorch-2fbf2cb9.png" /> </div> </div> <div class="col-md-2 text-center"> <input type="radio" name="official-pgr-radio" class="official-pgr-input official-pgr-radio radios-version-element" value="1812476" > <input type="checkbox" class="official-pgr-input official-pgr-checkbox checkboxes-version-element" value="1812476" > </div> </div> <div class="row align-items-center"> <div class="col-md-5"> <div class="paper-impl-cell"> <a href="https://github.com/yangyucheng000/University/tree/main/model-2/graphormer" class="code-table-link"> <span class=" icon-wrapper icon-ion" data-name="logo-github"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M256 32C132.3 32 32 134.9 32 261.7c0 101.5 64.2 187.5 153.2 217.9a17.56 17.56 0 0 0 3.8.4c8.3 0 11.5-6.1 11.5-11.4 0-5.5-.2-19.9-.3-39.1a102.4 102.4 0 0 1-22.6 2.7c-43.1 0-52.9-33.5-52.9-33.5-10.2-26.5-24.9-33.6-24.9-33.6-19.5-13.7-.1-14.1 1.4-14.1h.1c22.5 2 34.3 23.8 34.3 23.8 11.2 19.6 26.2 25.1 39.6 25.1a63 63 0 0 0 25.6-6c2-14.8 7.8-24.9 14.2-30.7-49.7-5.8-102-25.5-102-113.5 0-25.1 8.7-45.6 23-61.6-2.3-5.8-10-29.2 2.2-60.8a18.64 18.64 0 0 1 5-.5c8.1 0 26.4 3.1 56.6 24.1a208.21 208.21 0 0 1 112.2 0c30.2-21 48.5-24.1 56.6-24.1a18.64 18.64 0 0 1 5 .5c12.2 31.6 4.5 55 2.2 60.8 14.3 16.1 23 36.6 23 61.6 0 88.2-52.4 107.6-102.3 113.3 8 7.1 15.2 21.1 15.2 42.5 0 30.7-.3 55.5-.3 63 0 5.4 3.1 11.5 11.4 11.5a19.35 19.35 0 0 0 4-.4C415.9 449.2 480 363.1 480 261.7 480 134.9 379.7 32 256 32z"/></svg></span> yangyucheng000/University </a> </div> </div> <div class="col-md-3"> <div class="paper-impl-cell"> <span class=" icon-wrapper icon-ion" data-name="star"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M394 480a16 16 0 0 1-9.39-3L256 383.76 127.39 477a16 16 0 0 1-24.55-18.08L153 310.35 23 221.2a16 16 0 0 1 9-29.2h160.38l48.4-148.95a16 16 0 0 1 30.44 0l48.4 149H480a16 16 0 0 1 9.05 29.2L359 310.35l50.13 148.53A16 16 0 0 1 394 480z"/></svg></span> 1 </div> </div> <div class="col-md-2"> <div class="paper-impl-cell"> <img class="" src="https://production-assets.paperswithcode.com/perf/images/frameworks/mindspore-beada7dc.png" /> </div> </div> <div class="col-md-2 text-center"> <input type="radio" name="official-pgr-radio" class="official-pgr-input official-pgr-radio radios-version-element" value="2422022" > <input type="checkbox" class="official-pgr-input 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btn-primary">Submit </button> </div> </form> </div> </div> </div> <!-- Add Row --> <div class="modal fade" id="addRow" role="dialog" aria-labelledby="addRowLabel" aria-hidden="true"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <h5 class="modal-title" id="addRowLabel">Add a new evaluation result row</h5> <button type="button" class="close btn-close" data-bs-dismiss="modal" aria-label="Close"> <span aria-hidden="true">&times;</span> </button> </div> <form action="" method="post"> <div class="modal-body"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <div id="div_id_task" class="form-group"> <label for="id_task" class=" requiredField"> Task:<span class="asteriskField">*</span> </label> <div class=""> <select name="task" class="select form-control" required id="id_task"> <option value="" selected>---------</option> <option value="2834">Graph Property Prediction</option> <option value="842">Graph Classification</option> <option value="1679">Graph Regression</option> <option value="228">Representation Learning</option> <option value="227">Graph Representation Learning</option> </select> </div> </div> <div class="add-task-hint"> Not in the list? <a href="#addTask" data-bs-toggle="modal" data-bs-dismiss="modal">Add a task.</a> </div> <div id="div_id_dataset" class="form-group"> <label for="id_dataset" class=" requiredField"> Dataset:<span class="asteriskField">*</span> </label> <div class=""> <select name="dataset" class="modelselect2 form-control" required id="id_dataset" data-autocomplete-light-language="en" data-autocomplete-light-url="/dataset-autocomplete/" data-autocomplete-light-function="select2"> <option value="" selected>---------</option> </select> </div> </div> <div id="div_id_model_name" class="form-group"> <label for="id_model_name" class=" requiredField"> Model name:<span class="asteriskField">*</span> </label> <div class=""> <input type="text" name="model_name" class="textinput textInput form-control" required id="id_model_name"> </div> </div> <div id="div_id_metric" class="form-group"> <label for="id_metric" class=" requiredField"> Metric name:<span class="asteriskField">*</span> </label> <div class=""> <select name="metric" class="modelselect2 form-control" required id="id_metric" data-autocomplete-light-language="en" data-autocomplete-light-url="/metric-autocomplete/" data-autocomplete-light-function="select2"> <option value="" selected>---------</option> </select> </div> </div> <div id="sota-metric-names"> </div> <div class="form-group"> <div id="div_id_metric_higher_is_better" class="form-check"> <input type="checkbox" name="metric_higher_is_better" class="checkboxinput form-check-input" id="id_metric_higher_is_better"> <label for="id_metric_higher_is_better" class="form-check-label"> Higher is better (for the metric) </label> </div> </div> <div id="div_id_metric_value" class="form-group"> <label for="id_metric_value" class=" requiredField"> Metric value:<span class="asteriskField">*</span> </label> <div class=""> <input type="text" name="metric_value" class="textinput textInput form-control" required id="id_metric_value"> </div> </div> <div id="sota-metric-values"> </div> <div class="form-group"> <div id="div_id_uses_additional_data" class="form-check"> <input type="checkbox" name="uses_additional_data" class="checkboxinput form-check-input" id="id_uses_additional_data"> <label for="id_uses_additional_data" class="form-check-label"> Uses extra training data </label> </div> </div> <div id="div_id_evaluated_on" class="form-group"> <label for="id_evaluated_on" class=""> Data evaluated on </label> <div class=""> <input type="text" name="evaluated_on" value="2021-06-09" autocomplete="off" class="dateinput form-control" id="id_evaluated_on"> </div> </div> </div> <div class="modal-footer"> <button type="submit" class="btn btn-primary"> Submit </button> </div> </form> </div> </div> </div> <!-- Remove Row --> <div class="modal fade" id="removeRow" role="dialog" aria-labelledby="removeRowLabel" aria-hidden="true"> <div class="modal-dialog modal-lg" role="document"> <div class="modal-content"> <div class="modal-header"> <h5 class="modal-title" id="removeRowLabel">Add a new evaluation result row</h5> <button type="button" class="close btn-close" data-bs-dismiss="modal" aria-label="Close"> <span aria-hidden="true">&times;</span> </button> </div> <form action="" method="post"> <div class="modal-body"> <div class="sota-table"> <table class="table-striped"> <tr> <th>TASK</th> <th>DATASET</th> <th>MODEL</th> <th>METRIC NAME</th> <th>METRIC VALUE</th> <th>GLOBAL RANK</th> <th>REMOVE</th> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer (pre-trained on PCQM4M) </td> <td> Test ROC-AUC </td> <td> 0.8051 ± 0.0053 </td> <td> # 15 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="39485"> <input type="hidden" name="remove_metric_pk" value="25386"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer (pre-trained on PCQM4M) </td> <td> Validation ROC-AUC </td> <td> 0.8310 ± 0.0089 </td> <td> # 18 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="39485"> <input type="hidden" name="remove_metric_pk" value="25387"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer (pre-trained on PCQM4M) </td> <td> Number of params </td> <td> 47183040 </td> <td> # 1 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="39485"> <input type="hidden" name="remove_metric_pk" value="26381"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer (pre-trained on PCQM4M) </td> <td> Ext. data </td> <td> Yes </td> <td> # 1 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="39485"> <input type="hidden" name="remove_metric_pk" value="37410"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer + FPs </td> <td> Test ROC-AUC </td> <td> 0.8225 ± 0.0001 </td> <td> # 7 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37902"> <input type="hidden" name="remove_metric_pk" value="25386"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer + FPs </td> <td> Validation ROC-AUC </td> <td> 0.8396 ± 0.0001 </td> <td> # 10 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37902"> <input type="hidden" name="remove_metric_pk" value="25387"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer + FPs </td> <td> Number of params </td> <td> 47085378 </td> <td> # 3 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37902"> <input type="hidden" name="remove_metric_pk" value="26381"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer + FPs </td> <td> Ext. data </td> <td> No </td> <td> # 1 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37902"> <input type="hidden" name="remove_metric_pk" value="37410"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer </td> <td> Test ROC-AUC </td> <td> 0.8051 ± 0.0053 </td> <td> # 15 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37775"> <input type="hidden" name="remove_metric_pk" value="25386"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer </td> <td> Validation ROC-AUC </td> <td> 0.8310 ± 0.0089 </td> <td> # 18 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37775"> <input type="hidden" name="remove_metric_pk" value="25387"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer </td> <td> Number of params </td> <td> 47183040 </td> <td> # 1 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37775"> <input type="hidden" name="remove_metric_pk" value="26381"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molhiv </td> <td> Graphormer </td> <td> Ext. data </td> <td> Yes </td> <td> # 1 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37775"> <input type="hidden" name="remove_metric_pk" value="37410"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molpcba </td> <td> Graphormer </td> <td> Test AP </td> <td> 0.3140 ± 0.0032 </td> <td> # 5 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37776"> <input type="hidden" name="remove_metric_pk" value="25390"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molpcba </td> <td> Graphormer </td> <td> Validation AP </td> <td> 0.3227 ± 0.0024 </td> <td> # 4 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37776"> <input type="hidden" name="remove_metric_pk" value="25391"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molpcba </td> <td> Graphormer </td> <td> Number of params </td> <td> 119529664 </td> <td> # 2 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="37776"> <input type="hidden" name="remove_metric_pk" value="26382"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molpcba </td> <td> Graphormer (pre-trained on PCQM4M) </td> <td> Test AP </td> <td> 0.3140 ± 0.0032 </td> <td> # 5 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="39486"> <input type="hidden" name="remove_metric_pk" value="25390"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molpcba </td> <td> Graphormer (pre-trained on PCQM4M) </td> <td> Validation AP </td> <td> 0.3227 ± 0.0024 </td> <td> # 4 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="39486"> <input type="hidden" name="remove_metric_pk" value="25391"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molpcba </td> <td> Graphormer (pre-trained on PCQM4M) </td> <td> Number of params </td> <td> 119529664 </td> <td> # 2 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="39486"> <input type="hidden" name="remove_metric_pk" value="26382"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Property Prediction </td> <td> ogbg-molpcba </td> <td> Graphormer (pre-trained on PCQM4M) </td> <td> Ext. data </td> <td> Yes </td> <td> # 1 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="39486"> <input type="hidden" name="remove_metric_pk" value="37411"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Regression </td> <td> PCQM4M-LSC </td> <td> Graphormer </td> <td> Validation MAE </td> <td> 0.1234 </td> <td> # 5 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="35138"> <input type="hidden" name="remove_metric_pk" value="18342"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Regression </td> <td> PCQM4M-LSC </td> <td> Graphormer </td> <td> Test MAE </td> <td> 13.28 </td> <td> # 1 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="35138"> <input type="hidden" name="remove_metric_pk" value="18343"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Regression </td> <td> PCQM4Mv2-LSC </td> <td> Graphormer </td> <td> Validation MAE </td> <td> 0.0864 </td> <td> # 12 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="100854"> <input type="hidden" name="remove_metric_pk" value="47720"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Regression </td> <td> PCQM4Mv2-LSC </td> <td> Graphormer </td> <td> Test MAE </td> <td> - </td> <td> # 14 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="100854"> <input type="hidden" name="remove_metric_pk" value="47721"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> <tr> <td> Graph Regression </td> <td> ZINC-500k </td> <td> Graphormer-SLIM </td> <td> MAE </td> <td> 0.122 </td> <td> # 21 </td> <td> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_row_pk" value="35139"> <input type="hidden" name="remove_metric_pk" value="7268"> <button type="submit" class="btn btn-danger"> - </button> </form> </td> </tr> </table> </div> </div> </form> </div> </div> </div> <!-- Add Task --> <div class="modal fade" id="addTask" role="dialog" aria-labelledby="addTaskLabel" aria-hidden="true"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <h5 class="modal-title" id="addTaskLabel">Add a task</h5> <button type="button" class="close btn-close" data-bs-dismiss="modal" aria-label="Close"> <span aria-hidden="true">&times;</span> </button> </div> <div class="modal-body"> <div class="current-tasks-title">Attached tasks:</div> <ul class="list-unstyled"> <li> <a href="/task/graph-classification"> <span class="badge badge-primary">GRAPH CLASSIFICATION</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/task/graph-property-prediction"> <span class="badge badge-primary">GRAPH PROPERTY PREDICTION</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/task/graph-regression"> <span class="badge badge-primary">GRAPH REGRESSION</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/task/graph-representation-learning"> <span class="badge badge-primary">GRAPH REPRESENTATION LEARNING</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/task/representation-learning"> <span class="badge badge-primary">REPRESENTATION LEARNING</span> </a> </li> </ul> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <div id="div_id_task" class="form-group"> <label for="id_task" class=""> Add: </label> <div class=""> <select name="task" class="modelselect2 form-control" id="id_task" data-autocomplete-light-language="en" data-autocomplete-light-url="/task-autocomplete/" data-autocomplete-light-function="select2"> <option value="" selected>---------</option> </select> </div> </div> <div class="modal-help-text"> Not in the list?<br/> <a href="#" id="new-task-form-toggle"> <span class=" icon-wrapper icon-ion" data-name="add"><svg 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value="9">Graphs</option> <option value="15">Knowledge Base</option> <option value="7">Medical</option> <option value="6">Methodology</option> <option value="5">Miscellaneous</option> <option value="12">Music</option> <option value="4">Natural Language Processing</option> <option value="13">Playing Games</option> <option value="14">Reasoning</option> <option value="16">Robots</option> <option value="10">Speech</option> <option value="8">Time Series</option> </select> </div> </div> <div id="div_id_new_task_parent" class="form-group"> <label for="id_new_task_parent" class=""> Parent task (if any): </label> <div class=""> <select name="new_task_parent" class="modelselect2 form-control" id="id_new_task_parent" data-autocomplete-light-language="en" data-autocomplete-light-url="/task-and-tag-autocomplete/" data-autocomplete-light-function="select2"> <option value="" selected>---------</option> </select> </div> </div> <div id="div_id_new_task_desc" class="form-group"> <label for="id_new_task_desc" class=""> Description: </label> <div class=""> <textarea name="new_task_desc" cols="40" rows="3" class="textarea form-control" id="id_new_task_desc"> </textarea> </div> </div> </div> <div class="modal-footer"> <button type="submit" class="btn btn-primary"> Submit </button> </div> </form> </div> </div> </div> </div> <!-- Remove Task --> <div class="modal fade" id="removeTask" tabindex="-1" role="dialog" aria-labelledby="removeTaskLabel" aria-hidden="true"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <h5 class="modal-title" id="removeTaskLabel">Remove a task</h5> <button type="button" class="close btn-close" data-bs-dismiss="modal" aria-label="Close"> <span aria-hidden="true">&times;</span> </button> </div> <form action="" method="post"> <div class="modal-body"> <ul class="list-unstyled paper-tasks"> <form action="" method="post"> <li> <a href="/task/graph-classification"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/thumbnails/task/2ea42743-71c0-4f81-995d-ce9dc4bd63b0.jpg"> <span>Graph Classification</span> </span> </a> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_task_pk" value="842"> <button type="submit" class="btn btn-danger" style="width:2.5em">- </button> </li> </form> </ul> <ul class="list-unstyled paper-tasks"> <form action="" method="post"> <li> <a href="/task/graph-property-prediction"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/tasks/default.gif"> <span>Graph Property Prediction</span> </span> </a> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_task_pk" value="2834"> <button type="submit" class="btn btn-danger" style="width:2.5em">- </button> </li> </form> </ul> <ul class="list-unstyled paper-tasks"> <form action="" method="post"> <li> <a href="/task/graph-regression"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/tasks/default.gif"> <span>Graph Regression</span> </span> </a> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_task_pk" value="1679"> <button type="submit" class="btn btn-danger" style="width:2.5em">- </button> </li> </form> </ul> <ul class="list-unstyled paper-tasks"> <form action="" method="post"> <li> <a href="/task/graph-representation-learning"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/tasks/default.gif"> <span>Graph Representation Learning</span> </span> </a> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_task_pk" value="227"> <button type="submit" class="btn btn-danger" style="width:2.5em">- </button> </li> </form> </ul> <ul class="list-unstyled paper-tasks"> <form action="" method="post"> <li> <a href="/task/representation-learning"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/thumbnails/task/task-0000000228-3131cfbf_nx72Tly.jpg"> <span>Representation Learning</span> </span> </a> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <input type="hidden" name="remove_task_pk" value="228"> <button type="submit" class="btn btn-danger" style="width:2.5em">- </button> </li> </form> </ul> </div> </form> </div> </div> </div> <!-- Add Method --> <div class="modal fade" id="addMethod" role="dialog" aria-labelledby="addMethodLabel" aria-hidden="true"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <h5 class="modal-title" id="addMethodLabel">Add a method</h5> <button type="button" class="close btn-close" data-bs-dismiss="modal" aria-label="Close"> <span aria-hidden="true">&times;</span> </button> </div> <div class="modal-body"> <div class="current-methods-title">Attached methods:</div> <ul class="list-unstyled"> <li> <a href="/method/absolute-position-encodings"> <span class="badge badge-primary">ABSOLUTE POSITION ENCODINGS</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/adam"> <span class="badge badge-primary">ADAM</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/bpe"> <span class="badge badge-primary">BPE</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/dense-connections"> <span class="badge badge-primary">DENSE CONNECTIONS</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/dropout"> <span class="badge badge-primary">DROPOUT</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/label-smoothing"> <span class="badge badge-primary">LABEL SMOOTHING</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/layer-normalization"> <span class="badge badge-primary">LAYER NORMALIZATION</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/linear-layer"> <span class="badge badge-primary">LINEAR LAYER</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/multi-head-attention"> <span class="badge badge-primary">MULTI-HEAD ATTENTION</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/position-wise-feed-forward-layer"> <span class="badge badge-primary">POSITION-WISE FEED-FORWARD LAYER</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/residual-connection"> <span class="badge badge-primary">RESIDUAL CONNECTION</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/scaled"> <span class="badge badge-primary">SCALED DOT-PRODUCT ATTENTION</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/softmax"> <span class="badge badge-primary">SOFTMAX</span> </a> </li> </ul> <ul class="list-unstyled"> <li> <a href="/method/transformer"> <span class="badge badge-primary">TRANSFORMER</span> </a> </li> </ul> <form action="" method="post"> <input type="hidden" name="csrfmiddlewaretoken" value="2S3OgpJNrwJ96LMmWUZB7im6kBcqxyjuRg0ACBVT4CBN62oJYfoEzNHWHe3HVAlJ"> <div id="div_id_method" class="form-group"> <label for="id_method" class=""> Add: </label> <div class=""> <select name="method" class="modelselect2 form-control" id="id_method" data-autocomplete-light-language="en" data-autocomplete-light-url="/method-autocomplete/" data-autocomplete-light-function="select2"> <option value="" selected>---------</option> </select> </div> </div> <div class="modal-help-text"> Not in the list?<br/> <a href="#" id="new-method-form-toggle"> <span class=" icon-wrapper icon-ion" data-name="add"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M256 112v288m144-144H112"/></svg></span> Create a new method</a>. </div> <div id="new-method-form" style="display: none"> <div id="div_id_new_method_name" class="form-group"> <label for="id_new_method_name" class=""> <b>New method name</b> (e.g. ReLU): </label> <div class=""> <input type="text" name="new_method_name" maxlength="200" minlength="2" class="textinput textInput form-control" id="id_new_method_name"> </div> </div> <div id="div_id_new_method_full_name" class="form-group"> <label for="id_new_method_full_name" class=""> <b>New method full name</b> (e.g. Rectified Linear Unit): </label> <div class=""> <input type="text" name="new_method_full_name" maxlength="200" minlength="2" class="textinput textInput form-control" id="id_new_method_full_name"> </div> </div> <div id="div_id_new_method_paper" class="form-group"> <label for="id_new_method_paper" class=""> <b>Paper where method was first 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<code>[![PWC](https://img.shields.io/endpoint.svg?url=https://paperswithcode.com/badge/do-transformers-really-perform-bad-for-graph/graph-property-prediction-on-ogbg-molpcba)](https://paperswithcode.com/sota/graph-property-prediction-on-ogbg-molpcba?p=do-transformers-really-perform-bad-for-graph)</code> </td> </tr> <tr> <td> <img src="https://img.shields.io/endpoint.svg?url=https://paperswithcode.com/badge/do-transformers-really-perform-bad-for-graph/graph-property-prediction-on-ogbg-molhiv" /> </td> <td> <code>[![PWC](https://img.shields.io/endpoint.svg?url=https://paperswithcode.com/badge/do-transformers-really-perform-bad-for-graph/graph-property-prediction-on-ogbg-molhiv)](https://paperswithcode.com/sota/graph-property-prediction-on-ogbg-molhiv?p=do-transformers-really-perform-bad-for-graph)</code> </td> </tr> <tr> <td> <img src="https://img.shields.io/endpoint.svg?url=https://paperswithcode.com/badge/do-transformers-really-perform-bad-for-graph/graph-regression-on-pcqm4mv2-lsc" /> </td> <td> <code>[![PWC](https://img.shields.io/endpoint.svg?url=https://paperswithcode.com/badge/do-transformers-really-perform-bad-for-graph/graph-regression-on-pcqm4mv2-lsc)](https://paperswithcode.com/sota/graph-regression-on-pcqm4mv2-lsc?p=do-transformers-really-perform-bad-for-graph)</code> </td> </tr> <tr> <td> <img src="https://img.shields.io/endpoint.svg?url=https://paperswithcode.com/badge/do-transformers-really-perform-bad-for-graph/graph-regression-on-zinc-500k" /> </td> <td> <code>[![PWC](https://img.shields.io/endpoint.svg?url=https://paperswithcode.com/badge/do-transformers-really-perform-bad-for-graph/graph-regression-on-zinc-500k)](https://paperswithcode.com/sota/graph-regression-on-zinc-500k?p=do-transformers-really-perform-bad-for-graph)</code> </td> </tr> </table> </div> </div> </div> </div> </div> </div> </div> <!-- Edit Datasets --> <div class="modal fade" id="editDatasets" role="dialog" aria-labelledby="editDatasetsLabel" aria-hidden="true"> <div 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btn-primary" name="edit-datasets"> Save </button> </div> </form> </div> </div> </div> </template> <div class="container content content-buffer "> <main> <div class="paper-title"> <div class="row"> <div class="col-md-12"> <h1> Do Transformers Really Perform Bad for Graph Representation? </h1> <div class="authors"> <p> <span class="author-span">9 Jun 2021</span> &nbsp;·&nbsp; <span class="author-span"> <a href="/author/chengxuan-ying">Chengxuan Ying</a></span>, <span class="author-span"> <a href="/author/tianle-cai">Tianle Cai</a></span>, <span class="author-span"> <a href="/author/shengjie-luo">Shengjie Luo</a></span>, <span class="author-span"> <a href="/author/shuxin-zheng">Shuxin Zheng</a></span>, <span class="author-span"> <a href="/author/guolin-ke">Guolin Ke</a></span>, <span class="author-span"> <a href="/author/di-he">Di He</a></span>, <span class="author-span"> <a href="/author/yanming-shen">Yanming Shen</a></span>, <span class="author-span"> <a href="/author/tie-yan-liu">Tie-Yan Liu</a></span> <span class="hidden-element">· </span><button type="button" class="badge-edit" data-bs-toggle="modal" data-bs-toggle="modal" data-bs-target="#loginModal"> <span class=" icon-wrapper icon-fa icon-fa-solid" data-name="edit"><svg viewBox="0 0 576 514.999" xmlns="http://www.w3.org/2000/svg"><path d="M402.6 85.198l90.2 90.2c3.8 3.8 3.8 10 0 13.8l-218.399 218.4-92.8 10.3c-12.4 1.4-22.9-9.1-21.5-21.5l10.3-92.8 218.4-218.4c3.799-3.8 10-3.8 13.799 0zm162-22.9c15.2 15.2 15.2 39.9 0 55.2l-35.4 35.4c-3.8 3.8-10 3.8-13.8 0l-90.2-90.2c-3.8-3.8-3.8-10 0-13.8l35.4-35.4c15.3-15.2 40-15.2 55.2 0zM384 348.198c0-3.2 1.3-6.2 3.5-8.5l40-40c7.6-7.5 20.5-2.2 20.5 8.5v157.8c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48v-352c0-26.5 21.5-48 48-48h285.8c10.7 0 16.1 12.9 8.5 20.5l-40 40c-2.3 2.2-5.3 3.5-8.5 3.5H64v320h320v-101.8z"/></svg></span> <span>Edit social preview</span> </button> </p> </div> </div> </div> </div> <div class="paper-abstract"> <div class="row"> <div class="col-md-12"> <p> The Transformer architecture has become a dominant choice in many domains, such as natural language processing and computer vision. Yet, it has not achieved competitive performance on popular leaderboards of graph-level prediction compared to mainstream GNN variants. Therefore, it remains a mystery how Transformers could perform well for graph representation learning. In this paper, we solve this mystery by presenting Graphormer, which is built upon the standard Transformer architecture, and could attain excellent results on a broad range of graph representation learning tasks, especially on the recent OGB Large-Scale Challenge. Our key insight to utilizing Transformer in the graph is the necessity of effectively encoding the structural information of a graph into the model. To this end, we propose several simple yet effective structural encoding methods to help Graphormer better model graph-structured data. Besides, we mathematically characterize the expressive power of Graphormer and exhibit that with our ways of encoding the structural information of graphs, many popular GNN variants could be covered as the special cases of Graphormer. </p> <a href="https://arxiv.org/pdf/2106.05234v5.pdf" onclick="captureOutboundLink('https://arxiv.org/pdf/2106.05234v5.pdf'); return true;" class="badge badge-light "> <span class=" icon-wrapper icon-fa icon-fa-regular" data-name="file-pdf"><svg viewBox="0 0 384 513.795" xmlns="http://www.w3.org/2000/svg"><path d="M369.9 98.88c9 9 14.1 21.3 14.1 34v332.1c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48v-416c0-26.5 21.5-48 48-48.1h204.1c12.7 0 24.9 5.1 33.9 14.1zm-37.8 30.1L256 52.88v76.1h76.1zM48 464.98h288v-288H232c-13.3 0-24-10.7-24-24v-104H48v416zm250.2-143.7c10.5 10.5 8 38.7-17.5 38.7-14.8 0-36.9-6.8-55.8-17-21.6 3.6-46 12.7-68.4 20.1-50.1 86.4-79.4 47-76.1 31.2 4-20 31-35.9 51-46.2 10.5-18.4 25.4-50.5 35.4-74.4-7.4-28.6-11.4-51-7-67.1 4.8-17.7 38.4-20.3 42.6 5.9 4.7 15.4-1.5 39.9-5.4 56 8.1 21.3 19.6 35.8 36.8 46.3 17.4-2.2 52.2-5.5 64.4 6.5zm-198.1 77.8c0 .7 11.4-4.7 30.4-35-5.9 5.5-25.299 21.3-30.4 35zm81.6-190.6c-2.5 0-2.6 26.9 1.8 40.8 4.9-8.7 5.6-40.8-1.8-40.8zm-24.4 136.6c15.9-6.1 34-14.9 54.8-19.2-11.199-8.3-21.8-20.4-30.1-35.5-6.7 17.7-15 37.8-24.7 54.7zm131.6-5c3.6-2.4-2.2-10.4-37.3-7.8 32.3 13.8 37.3 7.8 37.3 7.8z"/></svg></span> <span>PDF</span> </a> <a href="https://arxiv.org/abs/2106.05234v5" onclick="captureOutboundLink('https://arxiv.org/abs/2106.05234v5'); return true;" class="badge badge-light "> <span class=" icon-wrapper icon-fa icon-fa-regular" data-name="file"><svg viewBox="0 0 384 513.795" xmlns="http://www.w3.org/2000/svg"><path d="M369.9 98.88c9 9 14.1 21.3 14.1 34v332.1c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48v-416c0-26.5 21.5-48 48-48.1h204.1c12.7 0 24.9 5.1 33.9 14.1zm-37.8 30.1L256 52.88v76.1h76.1zM48 464.98h288v-288H232c-13.3 0-24-10.7-24-24v-104H48v416z"/></svg></span> <span>Abstract</span> </a> 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0 1 9-29.2h160.38l48.4-148.95a16 16 0 0 1 30.44 0l48.4 149H480a16 16 0 0 1 9.05 29.2L359 310.35l50.13 148.53A16 16 0 0 1 394 480z"/></svg></span> 2,144 </div> </div> <div class="col-2"> <div class="paper-impl-cell text-center"> <img class="" src="https://production-assets.paperswithcode.com/perf/images/frameworks/pytorch-2fbf2cb9.png" /> </div> </div> </div> <div class="row"> <div class="col-sm-7"> <div class="paper-impl-cell"> <a href="https://github.com/microsoft/Graphormer" onclick="captureOutboundLink('https://github.com/microsoft/Graphormer'); return true;" class="code-table-link"> <span class=" icon-wrapper icon-ion" data-name="logo-github"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M256 32C132.3 32 32 134.9 32 261.7c0 101.5 64.2 187.5 153.2 217.9a17.56 17.56 0 0 0 3.8.4c8.3 0 11.5-6.1 11.5-11.4 0-5.5-.2-19.9-.3-39.1a102.4 102.4 0 0 1-22.6 2.7c-43.1 0-52.9-33.5-52.9-33.5-10.2-26.5-24.9-33.6-24.9-33.6-19.5-13.7-.1-14.1 1.4-14.1h.1c22.5 2 34.3 23.8 34.3 23.8 11.2 19.6 26.2 25.1 39.6 25.1a63 63 0 0 0 25.6-6c2-14.8 7.8-24.9 14.2-30.7-49.7-5.8-102-25.5-102-113.5 0-25.1 8.7-45.6 23-61.6-2.3-5.8-10-29.2 2.2-60.8a18.64 18.64 0 0 1 5-.5c8.1 0 26.4 3.1 56.6 24.1a208.21 208.21 0 0 1 112.2 0c30.2-21 48.5-24.1 56.6-24.1a18.64 18.64 0 0 1 5 .5c12.2 31.6 4.5 55 2.2 60.8 14.3 16.1 23 36.6 23 61.6 0 88.2-52.4 107.6-102.3 113.3 8 7.1 15.2 21.1 15.2 42.5 0 30.7-.3 55.5-.3 63 0 5.4 3.1 11.5 11.4 11.5a19.35 19.35 0 0 0 4-.4C415.9 449.2 480 363.1 480 261.7 480 134.9 379.7 32 256 32z"/></svg></span> microsoft/Graphormer </a> </div> </div> <div class="col-3"> <div class="paper-impl-cell text-nowrap"> <span class=" icon-wrapper icon-ion" data-name="star"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M394 480a16 16 0 0 1-9.39-3L256 383.76 127.39 477a16 16 0 0 1-24.55-18.08L153 310.35 23 221.2a16 16 0 0 1 9-29.2h160.38l48.4-148.95a16 16 0 0 1 30.44 0l48.4 149H480a16 16 0 0 1 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25.6-6c2-14.8 7.8-24.9 14.2-30.7-49.7-5.8-102-25.5-102-113.5 0-25.1 8.7-45.6 23-61.6-2.3-5.8-10-29.2 2.2-60.8a18.64 18.64 0 0 1 5-.5c8.1 0 26.4 3.1 56.6 24.1a208.21 208.21 0 0 1 112.2 0c30.2-21 48.5-24.1 56.6-24.1a18.64 18.64 0 0 1 5 .5c12.2 31.6 4.5 55 2.2 60.8 14.3 16.1 23 36.6 23 61.6 0 88.2-52.4 107.6-102.3 113.3 8 7.1 15.2 21.1 15.2 42.5 0 30.7-.3 55.5-.3 63 0 5.4 3.1 11.5 11.4 11.5a19.35 19.35 0 0 0 4-.4C415.9 449.2 480 363.1 480 261.7 480 134.9 379.7 32 256 32z"/></svg></span> dpstart/graphormer_new </a> </div> </div> <div class="col-3"> <div class="paper-impl-cell text-nowrap"> <span class=" icon-wrapper icon-ion" data-name="star"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M394 480a16 16 0 0 1-9.39-3L256 383.76 127.39 477a16 16 0 0 1-24.55-18.08L153 310.35 23 221.2a16 16 0 0 1 9-29.2h160.38l48.4-148.95a16 16 0 0 1 30.44 0l48.4 149H480a16 16 0 0 1 9.05 29.2L359 310.35l50.13 148.53A16 16 0 0 1 394 480z"/></svg></span> 16 </div> 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14.2-30.7-49.7-5.8-102-25.5-102-113.5 0-25.1 8.7-45.6 23-61.6-2.3-5.8-10-29.2 2.2-60.8a18.64 18.64 0 0 1 5-.5c8.1 0 26.4 3.1 56.6 24.1a208.21 208.21 0 0 1 112.2 0c30.2-21 48.5-24.1 56.6-24.1a18.64 18.64 0 0 1 5 .5c12.2 31.6 4.5 55 2.2 60.8 14.3 16.1 23 36.6 23 61.6 0 88.2-52.4 107.6-102.3 113.3 8 7.1 15.2 21.1 15.2 42.5 0 30.7-.3 55.5-.3 63 0 5.4 3.1 11.5 11.4 11.5a19.35 19.35 0 0 0 4-.4C415.9 449.2 480 363.1 480 261.7 480 134.9 379.7 32 256 32z"/></svg></span> ytchx1999/Graphormer </a> </div> </div> <div class="col-3"> <div class="paper-impl-cell text-nowrap"> <span class=" icon-wrapper icon-ion" data-name="star"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M394 480a16 16 0 0 1-9.39-3L256 383.76 127.39 477a16 16 0 0 1-24.55-18.08L153 310.35 23 221.2a16 16 0 0 1 9-29.2h160.38l48.4-148.95a16 16 0 0 1 30.44 0l48.4 149H480a16 16 0 0 1 9.05 29.2L359 310.35l50.13 148.53A16 16 0 0 1 394 480z"/></svg></span> 12 </div> </div> <div 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14.2-30.7-49.7-5.8-102-25.5-102-113.5 0-25.1 8.7-45.6 23-61.6-2.3-5.8-10-29.2 2.2-60.8a18.64 18.64 0 0 1 5-.5c8.1 0 26.4 3.1 56.6 24.1a208.21 208.21 0 0 1 112.2 0c30.2-21 48.5-24.1 56.6-24.1a18.64 18.64 0 0 1 5 .5c12.2 31.6 4.5 55 2.2 60.8 14.3 16.1 23 36.6 23 61.6 0 88.2-52.4 107.6-102.3 113.3 8 7.1 15.2 21.1 15.2 42.5 0 30.7-.3 55.5-.3 63 0 5.4 3.1 11.5 11.4 11.5a19.35 19.35 0 0 0 4-.4C415.9 449.2 480 363.1 480 261.7 480 134.9 379.7 32 256 32z"/></svg></span> yangyucheng000/University </a> </div> </div> <div class="col-3"> <div class="paper-impl-cell text-nowrap"> <span class=" icon-wrapper icon-ion" data-name="star"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M394 480a16 16 0 0 1-9.39-3L256 383.76 127.39 477a16 16 0 0 1-24.55-18.08L153 310.35 23 221.2a16 16 0 0 1 9-29.2h160.38l48.4-148.95a16 16 0 0 1 30.44 0l48.4 149H480a16 16 0 0 1 9.05 29.2L359 310.35l50.13 148.53A16 16 0 0 1 394 480z"/></svg></span> 1 </div> </div> <div class="col-2"> <div class="paper-impl-cell text-center"> <img class="" src="https://production-assets.paperswithcode.com/perf/images/frameworks/mindspore-beada7dc.png" /> </div> </div> </div> </div> </div> </div> <div class="col-md-5 paper-section" id="tasks"> <div class="paper-section-title"> <div class="row"> <div class="col-md-12"> <h2>Tasks <div class="float-right"> <div class="dropdown edit-button"> <button class="dropdown-toggle badge badge-edit" type="button" id="taskEditMenu" data-bs-toggle="dropdown" aria-haspopup="true" aria-expanded="false"> <span class=" icon-wrapper icon-fa icon-fa-solid" data-name="edit"><svg viewBox="0 0 576 514.999" xmlns="http://www.w3.org/2000/svg"><path d="M402.6 85.198l90.2 90.2c3.8 3.8 3.8 10 0 13.8l-218.399 218.4-92.8 10.3c-12.4 1.4-22.9-9.1-21.5-21.5l10.3-92.8 218.4-218.4c3.799-3.8 10-3.8 13.799 0zm162-22.9c15.2 15.2 15.2 39.9 0 55.2l-35.4 35.4c-3.8 3.8-10 3.8-13.8 0l-90.2-90.2c-3.8-3.8-3.8-10 0-13.8l35.4-35.4c15.3-15.2 40-15.2 55.2 0zM384 348.198c0-3.2 1.3-6.2 3.5-8.5l40-40c7.6-7.5 20.5-2.2 20.5 8.5v157.8c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48v-352c0-26.5 21.5-48 48-48h285.8c10.7 0 16.1 12.9 8.5 20.5l-40 40c-2.3 2.2-5.3 3.5-8.5 3.5H64v320h320v-101.8z"/></svg></span> Edit </button> <div class="dropdown-menu dropdown-menu-end" aria-labelledby="taskEditMenu"> <a class="dropdown-item" href="#loginModal" data-bs-toggle="modal"> <span class=" icon-wrapper icon-ion" data-name="add"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M256 112v288m144-144H112"/></svg></span> Add</a> <a class="dropdown-item" href="#loginModal" data-bs-toggle="modal"> <span class=" icon-wrapper icon-ion" data-name="remove"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M400 256H112"/></svg></span> Remove</a> </div> </div> </div> </h2> <hr/> </div> </div> <div class="paper-tasks"> <div class="row"> <div class="col-md-12"> <a href="/task/graph-classification"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/thumbnails/task/2ea42743-71c0-4f81-995d-ce9dc4bd63b0.jpg"> <span>Graph Classification</span> </span> </a> <a href="/task/graph-property-prediction"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/tasks/default.gif"> <span>Graph Property Prediction</span> </span> </a> <a href="/task/graph-regression"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/tasks/default.gif"> <span>Graph Regression</span> </span> </a> <a href="/task/graph-representation-learning"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/tasks/default.gif"> <span>Graph Representation Learning</span> </span> </a> <a href="/task/representation-learning"> <span class="badge badge-primary"> <img src="https://production-media.paperswithcode.com/thumbnails/task/task-0000000228-3131cfbf_nx72Tly.jpg"> <span>Representation Learning</span> </span> </a> </div> </div> </div> </div> </div> </div> <div class="row"> <div class="col-md-12 paper-section paper-evaluation-section-title" id="datasets"> <div class="paper-section-title"> <div class="row"> <div class="col-md-12 zero-padding-datasets"> <h2>Datasets <div class="float-right"> <div class="dropdown edit-button"> <button class="dropdown-toggle badge badge-edit" type="button" id="datasetEditMenu" data-bs-toggle="modal" data-bs-target="#loginModal" aria-haspopup="true" aria-expanded="false"> <span class=" icon-wrapper icon-fa icon-fa-solid" data-name="edit"><svg viewBox="0 0 576 514.999" xmlns="http://www.w3.org/2000/svg"><path d="M402.6 85.198l90.2 90.2c3.8 3.8 3.8 10 0 13.8l-218.399 218.4-92.8 10.3c-12.4 1.4-22.9-9.1-21.5-21.5l10.3-92.8 218.4-218.4c3.799-3.8 10-3.8 13.799 0zm162-22.9c15.2 15.2 15.2 39.9 0 55.2l-35.4 35.4c-3.8 3.8-10 3.8-13.8 0l-90.2-90.2c-3.8-3.8-3.8-10 0-13.8l35.4-35.4c15.3-15.2 40-15.2 55.2 0zM384 348.198c0-3.2 1.3-6.2 3.5-8.5l40-40c7.6-7.5 20.5-2.2 20.5 8.5v157.8c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48v-352c0-26.5 21.5-48 48-48h285.8c10.7 0 16.1 12.9 8.5 20.5l-40 40c-2.3 2.2-5.3 3.5-8.5 3.5H64v320h320v-101.8z"/></svg></span> Edit </button> </div> </div> </h2> <hr/> </div> </div> <div class="paper-datasets"> <div class="row"> <div class="col-md-12"> <span class="badge badge-primary"> <a href="/dataset/ogb"> <img class="dataset-list-image" src="https://production-media.paperswithcode.com/thumbnails/dataset-small/dataset-0000005078-ce502adf.jpg"> OGB </a> </span> <span class="badge badge-primary"> <a href="/dataset/zinc"> <img class="dataset-list-image" src="https://production-media.paperswithcode.com/thumbnails/dataset-small/dataset-0000002261-950503f1.jpg"> ZINC </a> </span> <span class="badge badge-primary"> <a href="/dataset/open-graph-benchmark"> <span class="icon-list-image" style="opacity:0.4;color:#A59F78"><span class=" icon-wrapper icon-fa icon-fa-solid" data-name="file"><svg viewBox="0 0 384 514.999" xmlns="http://www.w3.org/2000/svg"><path d="M224 137.998c0 13.2 10.8 24 24 24h136v328c0 13.3-10.7 24-24 24H24c-13.3 0-24-10.7-24-24v-464c0-13.3 10.7-24 24-24h200v136zm160-14.1v6.1H256v-128h6.1c6.4 0 12.5 2.5 17 7l97.9 98c4.5 4.5 7 10.6 7 16.9z"/></svg></span></span> Open Graph Benchmark </a> </span> <span class="badge badge-primary"> <a href="/dataset/ogb-lsc"> <img class="dataset-list-image" src="https://production-media.paperswithcode.com/thumbnails/dataset-small/dataset-0000006300-05b7e167.jpg"> OGB-LSC </a> </span> <span class="badge badge-primary"> <a href="/dataset/pcqm4mv2-lsc"> <img class="dataset-list-image" src="https://production-media.paperswithcode.com/thumbnails/dataset-small/46b2e46d-f4f0-41b7-863e-8d7d6d6052ac.jpg"> PCQM4Mv2-LSC </a> </span> </div> </div> </div> </div> </div> </div> <!-- End portal_name if --> <div class="row"> <div id="results" class="col-md-12 paper-evaluation-section-title"> <div class="paper-section-title"> <div class="row"> <div class="col-md-12 zero-padding"> <h2>Results from the Paper <div class="float-right"> <div class="edit-button"> <a class="dropdown-toggle badge badge-edit" id="evalEditMenu" href="/paper/do-transformers-really-perform-bad-for-graph/review/"> <span class=" icon-wrapper icon-fa icon-fa-solid" data-name="edit"><svg viewBox="0 0 576 514.999" xmlns="http://www.w3.org/2000/svg"><path d="M402.6 85.198l90.2 90.2c3.8 3.8 3.8 10 0 13.8l-218.399 218.4-92.8 10.3c-12.4 1.4-22.9-9.1-21.5-21.5l10.3-92.8 218.4-218.4c3.799-3.8 10-3.8 13.799 0zm162-22.9c15.2 15.2 15.2 39.9 0 55.2l-35.4 35.4c-3.8 3.8-10 3.8-13.8 0l-90.2-90.2c-3.8-3.8-3.8-10 0-13.8l35.4-35.4c15.3-15.2 40-15.2 55.2 0zM384 348.198c0-3.2 1.3-6.2 3.5-8.5l40-40c7.6-7.5 20.5-2.2 20.5 8.5v157.8c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48v-352c0-26.5 21.5-48 48-48h285.8c10.7 0 16.1 12.9 8.5 20.5l-40 40c-2.3 2.2-5.3 3.5-8.5 3.5H64v320h320v-101.8z"/></svg></span> Edit </a> </div> </div> </h2> <hr/> <div class="paper-evaluation-badge"> <div class="sota"> <p> <a href="/sota/graph-regression-on-pcqm4m-lsc"> <img style="height:20px;width:35px;position:relative;top:1px;" src="https://production-media.paperswithcode.com/sota-thumbs/graph-regression-on-pcqm4m-lsc-small_05a4ffac.png"/> </a> &nbsp;Ranked #1 on <a class="sota-task" href="/sota/graph-regression-on-pcqm4m-lsc"> Graph Regression on PCQM4M-LSC </a> </p> </div> &nbsp;&nbsp;&nbsp;&nbsp; <a href="#" class="get-badge-button float-right" data-bs-toggle="modal" data-bs-target="#badgeModal"> <span class=" icon-wrapper icon-fa icon-fa-light" data-name="arrow-to-right"><svg viewBox="0 0 448 520.146" xmlns="http://www.w3.org/2000/svg"><path d="M215 100.5c4.7-4.7 12.3-4.7 17 0l148.6 148c4.7 4.7 4.7 12.3 0 17l-148.5 148c-4.7 4.7-12.3 4.7-17 0l-7.1-7.1c-4.7-4.7-4.7-12.3 0-17L323.9 274H12c-6.6 0-12-5.4-12-12v-10c0-6.6 5.4-12 12-12h311.9l-116-115.4a12.01 12.01 0 0 1 0-17zM448 77v360c0 6.6-5.4 12-12 12h-8c-6.6 0-12-5.4-12-12V77c0-6.6 5.4-12 12-12h8c6.6 0 12 5.4 12 12z"/></svg></span> Get a GitHub badge </a> </div> </div> </div> </div> </div> </div> <div class="paper-evaluation-section" id="evaluation"> <div class="row"> <div class="col-md-12"> <div class="sota-table table-responsive"> <table class="table-striped"> <tr> <th>Task</th> <th>Dataset</th> <th>Model</th> <th>Metric Name</th> <th>Metric Value</th> <th>Global Rank</th> <th>Result</th> <th>Benchmark</th> </tr> <tr> <td rowspan="4" class="rowspan-td"> Graph Property Prediction </td> <td rowspan="4" class="rowspan-td"> ogbg-molhiv </td> <td rowspan="4" class="rowspan-td model-col"> Graphormer (pre-trained on PCQM4M) </td> <td style="vertical-align: top; padding-top: 18px;"> Test ROC-AUC </td> <td> 0.8051 ± 0.0053 </td> <td> # 15 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=39485"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Validation ROC-AUC </td> <td> 0.8310 ± 0.0089 </td> <td> # 18 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=39485"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Number of params </td> <td> 47183040 </td> <td> # 1 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=39485"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Ext. data </td> <td> Yes </td> <td> # 1 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=39485"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td rowspan="4" class="rowspan-td"> Graph Property Prediction </td> <td rowspan="4" class="rowspan-td"> ogbg-molhiv </td> <td rowspan="4" class="rowspan-td model-col"> Graphormer + FPs </td> <td style="vertical-align: top; padding-top: 18px;"> Test ROC-AUC </td> <td> 0.8225 ± 0.0001 </td> <td> # 7 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37902"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Validation ROC-AUC </td> <td> 0.8396 ± 0.0001 </td> <td> # 10 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37902"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Number of params </td> <td> 47085378 </td> <td> # 3 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37902"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Ext. data </td> <td> No </td> <td> # 1 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37902"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td rowspan="4" class="rowspan-td"> Graph Property Prediction </td> <td rowspan="4" class="rowspan-td"> ogbg-molhiv </td> <td rowspan="4" class="rowspan-td model-col"> Graphormer </td> <td style="vertical-align: top; padding-top: 18px;"> Test ROC-AUC </td> <td> 0.8051 ± 0.0053 </td> <td> # 15 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37775"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Validation ROC-AUC </td> <td> 0.8310 ± 0.0089 </td> <td> # 18 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37775"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Number of params </td> <td> 47183040 </td> <td> # 1 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37775"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Ext. data </td> <td> Yes </td> <td> # 1 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37775"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molhiv" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td rowspan="3" class="rowspan-td"> Graph Property Prediction </td> <td rowspan="3" class="rowspan-td"> ogbg-molpcba </td> <td rowspan="3" class="rowspan-td model-col"> Graphormer </td> <td style="vertical-align: top; padding-top: 18px;"> Test AP </td> <td> 0.3140 ± 0.0032 </td> <td> # 5 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37776"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molpcba" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Validation AP </td> <td> 0.3227 ± 0.0024 </td> <td> # 4 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37776"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molpcba" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Number of params </td> <td> 119529664 </td> <td> # 2 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=37776"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molpcba" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td rowspan="4" class="rowspan-td"> Graph Property Prediction </td> <td rowspan="4" class="rowspan-td"> ogbg-molpcba </td> <td rowspan="4" class="rowspan-td model-col"> Graphormer (pre-trained on PCQM4M) </td> <td style="vertical-align: top; padding-top: 18px;"> Test AP </td> <td> 0.3140 ± 0.0032 </td> <td> # 5 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=39486"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molpcba" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Validation AP </td> <td> 0.3227 ± 0.0024 </td> <td> # 4 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=39486"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molpcba" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Number of params </td> <td> 119529664 </td> <td> # 2 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=39486"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molpcba" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Ext. data </td> <td> Yes </td> <td> # 1 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=39486"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-property-prediction-on-ogbg-molpcba" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td rowspan="2" class="rowspan-td"> Graph Regression </td> <td rowspan="2" class="rowspan-td"> PCQM4M-LSC </td> <td rowspan="2" class="rowspan-td model-col"> Graphormer </td> <td style="vertical-align: top; padding-top: 18px;"> Validation MAE </td> <td> 0.1234 </td> <td> # 5 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=35138"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-regression-on-pcqm4m-lsc" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Test MAE </td> <td> 13.28 </td> <td> # 1 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=35138"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-regression-on-pcqm4m-lsc" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td rowspan="2" class="rowspan-td"> Graph Regression </td> <td rowspan="2" class="rowspan-td"> PCQM4Mv2-LSC </td> <td rowspan="2" class="rowspan-td model-col"> Graphormer </td> <td style="vertical-align: top; padding-top: 18px;"> Validation MAE </td> <td> 0.0864 </td> <td> # 12 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=100854"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-regression-on-pcqm4mv2-lsc" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td style="vertical-align: top; padding-top: 18px;"> Test MAE </td> <td> - </td> <td> # 14 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=100854"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg xmlns="http://www.w3.org/2000/svg" width="512" height="512" viewBox="0 0 512 512"><path d="M176 176v-40a40 40 0 0 1 40-40h208a40 40 0 0 1 40 40v240a40 40 0 0 1-40 40H216a40 40 0 0 1-40-40v-40" fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32"/><path fill="none" stroke="#000" stroke-linecap="round" stroke-linejoin="round" stroke-width="32" d="M272 336l80-80-80-80M48 256h288"/></svg></span> </a> </td> <td> <div class="sota-table-link"> <a class="btn btn-primary" href="/sota/graph-regression-on-pcqm4mv2-lsc" style="text-decoration: underline"> Compare</a> </div> </td> </tr> <tr> <td rowspan="1" class="rowspan-td"> Graph Regression </td> <td rowspan="1" class="rowspan-td"> ZINC-500k </td> <td rowspan="1" class="rowspan-td model-col"> Graphormer-SLIM </td> <td style="vertical-align: top; padding-top: 18px;"> MAE </td> <td> 0.122 </td> <td> # 21 </td> <td class="results-icon"> <a href="/paper/do-transformers-really-perform-bad-for-graph/review/?hl=35139"> <span class=" icon-wrapper icon-ion" data-name="enter-outline"><svg 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