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https://miro.medium.com/v2/resize:fit:1100/format:webp/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 1100w, https://miro.medium.com/v2/resize:fit:1400/format:webp/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 1400w" sizes="(min-resolution: 4dppx) and (max-width: 700px) 50vw, (-webkit-min-device-pixel-ratio: 4) and (max-width: 700px) 50vw, (min-resolution: 3dppx) and (max-width: 700px) 67vw, (-webkit-min-device-pixel-ratio: 3) and (max-width: 700px) 65vw, (min-resolution: 2.5dppx) and (max-width: 700px) 80vw, (-webkit-min-device-pixel-ratio: 2.5) and (max-width: 700px) 80vw, (min-resolution: 2dppx) and (max-width: 700px) 100vw, (-webkit-min-device-pixel-ratio: 2) and (max-width: 700px) 100vw, 700px" type="image/webp"/><source data-testid="og" srcSet="https://miro.medium.com/v2/resize:fit:640/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 640w, https://miro.medium.com/v2/resize:fit:720/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 720w, https://miro.medium.com/v2/resize:fit:750/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 750w, https://miro.medium.com/v2/resize:fit:786/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 786w, https://miro.medium.com/v2/resize:fit:828/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 828w, https://miro.medium.com/v2/resize:fit:1100/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 1100w, https://miro.medium.com/v2/resize:fit:1400/1*5ZSQNFg9Z-WshvodVIz6Nw.jpeg 1400w" sizes="(min-resolution: 4dppx) and (max-width: 700px) 50vw, (-webkit-min-device-pixel-ratio: 4) and (max-width: 700px) 50vw, (min-resolution: 3dppx) and (max-width: 700px) 67vw, (-webkit-min-device-pixel-ratio: 3) and (max-width: 700px) 65vw, (min-resolution: 2.5dppx) and (max-width: 700px) 80vw, (-webkit-min-device-pixel-ratio: 2.5) and (max-width: 700px) 80vw, (min-resolution: 2dppx) and (max-width: 700px) 100vw, (-webkit-min-device-pixel-ratio: 2) and (max-width: 700px) 100vw, 700px"/><img alt="" class="bh mt nz c" width="700" height="455" loading="eager" role="presentation"/></picture></div></div><figcaption class="oa ff ob nm nn oc od bf b bg z du">Photo by <a class="af oe" href="https://unsplash.com/de/@jezar" rel="noopener ugc nofollow" target="_blank">Jezael Melgoza</a> on <a class="af oe" href="https://unsplash.com/de/fotos/menschen-die-auf-der-strasse-in-der-nahe-von-gut-beleuchteten-gebauden-gehen-layMbSJ3YOE" rel="noopener ugc nofollow" target="_blank">Unsplash</a></figcaption></figure><p id="b021" class="pw-post-body-paragraph of og hd oh b hx oi oj ok ia ol om on oo op oq or os ot ou ov ow ox oy oz pa gw bk">Imagine, you find yourself blindfolded in the center of a dense, unknown city. At each crossroad, flips of a coin decide your next steps: left, right, forward, or backward. With no vision to guide you and randomness as your only companion, you start an <strong class="oh he">unpredictable journey</strong>.</p><p id="4538" class="pw-post-body-paragraph of og hd oh b hx oi oj ok ia ol om on oo op oq or os ot ou ov ow ox oy oz pa gw bk">This, in essence, captures the spirit of <em class="pb">random walks</em>, a powerful concept from probability theory that is much more useful than walking through a city blindfolded with a coin in our hand. Physicists use random walks to describe the <strong class="oh he">movement of particles</strong>, and have applications in areas ranging from <strong class="oh he">biology to social sciences</strong>. Understanding random walks allows data scientists to model, simulate and predict stochastic processes from many different areas.</p><p id="1daa" class="pw-post-body-paragraph of og hd oh b hx oi oj ok ia ol om on oo op oq or os ot ou ov ow ox oy oz pa gw bk">Moreover, in <strong class="oh he">reinforcement learning</strong>, agents can perform random walks to <strong class="oh he">explore their environments</strong> and gain information about the effects of their actions.</p><p id="d19c" class="pw-post-body-paragraph of og hd oh b hx oi oj ok ia ol om on oo op oq or os ot ou ov ow ox oy oz pa gw bk">In short, random walks are extremely versatile. But that is a whole other story.</p><p id="b6e8" class="pw-post-body-paragraph of og hd oh b hx oi oj ok ia ol om on oo op oq or os ot ou ov ow ox oy oz pa gw bk">Applications aside, random walks are simply fascinating. Even without the math behind them, we can appreciate the beautiful, yet complex and puzzling world they open for us. If you randomly walk around the city long enough and trace your steps, <strong class="oh he">your path reveals a</strong>…</p></div></div></div></div></section></div></div></article></div><div class="l"></div><footer class="pc pd pe pf gv ab q pg jb c"><div class="l ae"><div class="ab cb"><div class="ci bh fz ga gb gc"><div class="ab cp ph"><div class="ab q ll"><div class="pi l"><span class="l pj pk pl e d"><div class="ab q ll lm"><div class="pw-multi-vote-icon fj gt ln lo lp"><span><a class="af ag ah ai aj ak al am an ao ap aq ar as at" data-testid="footerClapButton" href="https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2F_%2Fvote%2Ftowards-data-science%2F0c4813aca6bc&operation=register&redirect=https%3A%2F%2Ftowardsdatascience.com%2Frandom-walks-are-strange-and-beautiful-0c4813aca6bc&user=Marcel+Moosbrugger&userId=84b9db1628b3&source=---footer_actions--0c4813aca6bc---------------------clap_footer-----------" rel="noopener follow"><div><div class="bm" 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