<link>https://rajraghuwansh.github.io/</link></image><item><title>🧭 Spherical Harmonics and the Spherical Coordinate System</h1> <article> <h1>🧭 Spherical Harmonics and the Spherical Coordinate System</h1> <p>Mon, 16 Mar 2026 00:00:00 +0000</p> <p>Spherical harmonics are one of the most important mathematical tools for analyzing functions defined on the surface of a sphere. They appear in many areas including <strong>quantum mechanics, geophysics, computer graphics, and modern geometric deep learning</strong>.</p> <p>This post introduces the <strong>spherical coordinate system</strong> and explains how spherical harmonics arise naturally when studying functions on the sphere.</p> <h2 id="the-spherical-coordinate-system">The Spherical Coordinate System</h2> <p>In three-dimensional space, we often represent points using <strong>Cartesian coordinates</strong></p> \[ (x, y, z) \]<p>However, when working with spherical objects or rotationally symmetric problems, it is more natural to use <strong>spherical coordinates</strong>:</p> \[ (r, \theta, \phi) \]<p>where:</p> <ul> <li>\(r\) is the distance from the origin</li> <li>\(\theta\) is the polar angle (measured from the z-axis)</li> <li>\(\phi\) is the azimuthal angle (measured in the xy-plane)</li> </ul> <p>The relationship between Cartesian and spherical coordinates is:</p> \[ x = r \sin\theta \cos\phi \]\[ y = r \sin\theta \sin\phi \]\[ z = r \cos\theta \]<p>This coordinate system is particularly useful when studying functions defined on the <strong>surface of a sphere</strong>, where \(r\) is constant.</p> <hr> <h2 id="what-are-spherical-harmonics">What Are Spherical Harmonics?</h2> <p>Spherical harmonics are a set of special functions defined on the sphere that form an <strong>orthogonal basis</strong> for functions on the sphere.</p> <p>They are analogous to <strong>Fourier series</strong>, but instead of decomposing functions on a circle, they decompose functions on a <strong>sphere</strong>.</p> <p>A spherical harmonic is usually written as</p> \[ Y_l^m(\theta, \phi) \]<p>where:</p> <ul> <li>\(l\) is the degree</li> <li>\(m\) is the order</li> <li>\(-l \le m \le l\)</li> </ul> <p>These functions arise as solutions to <strong>Laplace’s equation in spherical coordinates</strong>.</p> <hr> <h2 id="why-spherical-harmonics-matter">Why Spherical Harmonics Matter</h2> <p>Spherical harmonics appear in many scientific fields:</p> <h3 id="physics">Physics</h3> <p>They are used to solve:</p> <ul> <li>Schrödinger equation</li> <li>gravitational potentials</li> <li>electromagnetic fields</li> </ul> <h3 id="computer-graphics">Computer Graphics</h3> <p>They are used for:</p> <ul> <li>lighting models</li> <li>environment maps</li> <li>rendering reflections</li> </ul> <h3 id="geometric-deep-learning">Geometric Deep Learning</h3> <p>Modern AI models that operate on <strong>spheres, rotations, or 3D structures</strong> often rely on spherical harmonics for:</p> <ul> <li>equivariant neural networks</li> <li>molecular modeling</li> <li>3D vision</li> </ul> <hr> <h2 id="visualizing-the-harmonics">Visualizing the Harmonics</h2> <p>Each spherical harmonic corresponds to a particular <strong>frequency pattern on the sphere</strong>.</p> <p>Low-degree harmonics represent <strong>smooth variations</strong>, while higher-degree harmonics represent <strong>finer oscillations</strong>.</p> <p>Conceptually:</p> </article> <article> <h1>🌐 Attending AWS Summit Paris 2024</h1> <p>Wed, 10 Apr 2024 00:00:00 +0000</p> <p>Recently, I had the opportunity to attend <strong>AWS Summit Paris</strong> on behalf of my team at <strong>Stellantis France</strong>.</p> <p>It was my first time participating in an event of this scale, and it was an incredible experience to be immersed in the <strong>tech ecosystem of France and Europe</strong>.</p> <p>The summit was a <strong>full-day event</strong> with more than <strong>50 companies showcasing their technologies and solutions</strong> through talks, presentations, and booths.</p> <p>I had the chance to meet and listen to professionals working across many domains including:</p> <ul> <li>Cloud infrastructure</li> <li>Encryption and cybersecurity</li> <li>Automotive technologies</li> <li>SaaS and PaaS platforms</li> <li>Supply chain systems</li> <li>Artificial intelligence and machine learning</li> </ul> <p>A major theme of this year’s summit was <strong>Large Language Models (LLMs)</strong> and the <strong>Retrieval Augmented Generation (RAG)</strong> approach used to address some of their practical challenges.</p> <p>It was fascinating to see how organizations are integrating <strong>AI-driven solutions with AWS cloud infrastructure</strong> to build scalable and intelligent systems.</p> <p>The event provided a great opportunity to learn about new developments in <strong>cloud computing, AI, and industry applications</strong>, while also connecting with professionals from across the European tech community.</p> <h2 id="event-highlights">Event Highlights</h2> <ul> <li>50+ companies presenting cutting-edge technologies</li> <li>Focus on <strong>LLMs and RAG architectures</strong></li> <li>Discussions on <strong>cloud-native AI systems</strong></li> <li>Insights into <strong>automotive and industrial AI applications</strong></li> <li>Networking with professionals from across Europe</li> </ul> <h2 id="learn-more">Learn More</h2> <p>You can find more details about the summit here:</p> <div class="text-left"> <a id="button-ff5434c33e7f3eab1e3e4dedf86c1c6e" href="https://aws.amazon.com/fr/events/summits/paris/" target="_blank" rel="noopener noreferrer" class="inline-flex items-center gap-2 font-medium no-underline transition-all duration-300 ease-out transform-gpu focus:outline-none focus:ring-4 focus:ring-offset-2 focus:ring-offset-white dark:focus:ring-offset-zinc-900 disabled:opacity-50 disabled:cursor-not-allowed disabled:pointer-events-none bg-gradient-to-br from-primary-500 to-primary-600 hover:from-primary-600 hover:to-primary-700 active:from-primary-700 active:to-primary-800 text-white shadow-lg shadow-primary-500/25 hover:shadow-xl hover:shadow-primary-500/30 hover:-translate-y-0.5 hover:scale-[1.02] active:scale-[0.98] focus:ring-primary-500/50 px-4 py-2 text-base rounded-lg" role="button" aria-label="Visit AWS Summit Paris" > <span class="flex-shrink-0"> <svg class="w-4 h-4" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="1.5" d="M13.5 6H5.25A2.25 2.25 0 0 0 3 8.25v10.5A2.25 2.25 0 0 0 5.25 21h10.5A2.25 2.25 0 0 0 18 18.75V10.5m-10.5 6L21 3m0 0h-5.25M21 3v5.25"/></svg> </span> <span>Visit AWS Summit Paris</span> </a> </div> <hr> </article> <article> <h1>Example Talk: Recent Work</h1> <p>Mon, 01 Jan 2024 00:00:00 +0000</p>  <h1 id="example-talk">Example Talk</h1> <h3 id="dr-alex-johnson--meta-ai">Dr. Alex Johnson · Meta AI</h3> <hr> <h2 id="research-overview">Research Overview</h2> <ul> <li>Multimodal LLMs</li> <li>Efficient training</li> <li>Responsible AI</li> </ul> <hr> <h2 id="code--math">Code & Math</h2> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-python" data-lang="python"><span class="line"><span class="cl"><span class="k">def</span> <span class="nf">score</span><span class="p">(</span><span class="n">x</span><span class="p">:</span> <span class="nb">int</span><span class="p">)</span> <span class="o">-></span> <span class="nb">int</span><span class="p">:</span> </span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">x</span> <span class="o">*</span> <span class="n">x</span> </span></span></code></pre></div>$$ E = mc^2 $$<hr> <h2 id="dual-column-layout">Dual Column Layout</h2> <div class="r-hstack"> <div style="flex: 1; padding-right: 1rem;"> <h3 id="left-column">Left Column</h3> <ul> <li>Point A</li> <li>Point B</li> <li>Point C</li> </ul> </div> <div style="flex: 1; padding-left: 1rem;"> <h3 id="right-column">Right Column</h3> <ul> <li>Detail 1</li> <li>Detail 2</li> <li>Detail 3</li> </ul> </div> </div> <hr>  <div style="display: flex; gap: 2rem;"> <div style="flex: 2;"> <h3 id="main-content-23-width">Main Content (2/3 width)</h3> <p>This column takes up twice the space of the right column.</p> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-python" data-lang="python"><span class="line"><span class="cl"><span class="k">def</span> <span class="nf">example</span><span class="p">():</span> </span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="s2">"code works too"</span> </span></span></code></pre></div></div> <div style="flex: 1;"> <h3 id="sidebar-13-width">Sidebar (1/3 width)</h3> <blockquote class="border-l-4 border-neutral-300 dark:border-neutral-600 pl-4 italic text-neutral-600 dark:text-neutral-400 my-6"> <p><strong>Note</strong><br> Key points in smaller column</p> </blockquote> </div> </div> <hr> <h2 id="image--text-layout">Image + Text Layout</h2> <div class="r-hstack" style="align-items: center;"> <div style="flex: 1;"> <p> <figure > <div class="flex justify-center "> <div class="w-full" ></div> </div></figure> </p> </div> <div style="flex: 1; padding-left: 2rem;"> <h3 id="results">Results</h3> <ul> <li>95% accuracy</li> <li>10x faster inference</li> <li>Lower memory usage</li> </ul> <span class="fragment " > <strong>Breakthrough!</strong> </span> </div> </div> <hr> <h2 id="speaker-notes">Speaker Notes</h2> <p>Press <strong>S</strong> to open presenter view with notes!</p> <p>This slide has hidden speaker notes below.</p> <p>Note:</p> <ul> <li>This is a <strong>speaker note</strong> (only visible in presenter view)</li> <li>Press <code>S</code> key to open presenter console</li> <li>Perfect for remembering key talking points</li> <li>Can include reminders, timing, references</li> <li>Supports <strong>Markdown</strong> formatting too!</li> </ul> <hr> <h2 id="progressive-reveals">Progressive Reveals</h2> <p>Content appears step-by-step:</p> <span class="fragment " > First point appears </span> <span class="fragment " > Then the second point </span> <span class="fragment " > Finally the conclusion </span> <span class="fragment highlight-red" > This one can be <strong>highlighted</strong>! </span> <p>Note: Use fragments to control pacing and maintain audience attention. Each fragment appears on click.</p> <hr> <h2 id="diagrams-with-mermaid">Diagrams with Mermaid</h2> <div class="mermaid">graph LR A[Research Question] --> B{Hypothesis} B -->|Valid| C[Experiment] B -->|Invalid| D[Revise] C --> E[Analyze Data] E --> F{Significant?} F -->|Yes| G[Publish] F -->|No| D </div> <p>Perfect for: Workflows, architectures, processes</p> <p>Note: Mermaid diagrams are created from simple text. They’re version-controllable and edit anywhere!</p> <hr> <h2 id="research-results">Research Results</h2> <table> <thead> <tr> <th>Model</th> <th>Accuracy</th> <th>Speed</th> <th>Memory</th> </tr> </thead> <tbody> <tr> <td>Baseline</td> <td>87.3%</td> <td>1.0x</td> <td>2GB</td> </tr> <tr> <td>Ours (v1)</td> <td>92.1%</td> <td>1.5x</td> <td>1.8GB</td> </tr> <tr> <td><strong>Ours (v2)</strong></td> <td><strong>95.8%</strong></td> <td><strong>2.3x</strong></td> <td><strong>1.2GB</strong></td> </tr> </tbody> </table> <blockquote class="border-l-4 border-neutral-300 dark:border-neutral-600 pl-4 italic text-neutral-600 dark:text-neutral-400 my-6"> <p><strong>Key Finding:</strong> 8.5% improvement over baseline with 40% memory reduction</p> </blockquote> <p>Note: Tables are perfect for comparative results. Markdown tables are simple and version-control friendly.</p> <hr> <section data-noprocess data-shortcode-slide data-background-color="#1e3a8a" > <h2 id="custom-backgrounds">Custom Backgrounds</h2> <p>This slide has a <strong>blue background</strong>!</p> <p>You can customize:</p> <ul> <li>Background colors</li> <li>Background images</li> <li>Gradients</li> <li>Videos (yes, really!)</li> </ul> <p>Use <code>{{< slide background-color="#hex" >}}</code></p> <hr> <h2 id="vertical-navigation">Vertical Navigation</h2> <p><strong>There’s more content below! ⬇️</strong></p> <p>Press the <strong>Down Arrow</strong> to see substeps.</p> <p>Note: This demonstrates Reveal.js’s vertical slide feature. Great for optional details or deep dives.</p> <hr> <section data-noprocess data-shortcode-slide id="substep-1" > <h3 id="substep-1-details">Substep 1: Details</h3> <p>This is additional content in a vertical stack.</p> <p>Navigate down for more, or right to skip to next topic →</p> <hr> <section data-noprocess data-shortcode-slide id="substep-2" > <h3 id="substep-2-more-details">Substep 2: More Details</h3> <p>Even more detailed information.</p> <p>Press <strong>Up Arrow</strong> to go back, or <strong>Right Arrow</strong> to continue.</p> <hr> <h2 id="citations--quotes">Citations & Quotes</h2> <blockquote class="border-l-4 border-neutral-300 dark:border-neutral-600 pl-4 italic text-neutral-600 dark:text-neutral-400 my-6"> <p>“The best way to predict the future is to invent it.”</p> <p>— Alan Kay</p> </blockquote> <p>Or reference research:</p> <blockquote class="border-l-4 border-neutral-300 dark:border-neutral-600 pl-4 italic text-neutral-600 dark:text-neutral-400 my-6"> <p>Recent work by Smith et al. (2024) demonstrates that Markdown-based slides improve reproducibility by 78% compared to proprietary formats<sup id="fnref:1"><a href="#fn:1" class="footnote-ref" role="doc-noteref">1</a></sup>.</p> </blockquote> <hr> <h2 id="media-youtube-videos">Media: YouTube Videos</h2> <div style="position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden;"> </div> <p>Note: Embed YouTube videos with just the video ID. Perfect for demos, tutorials, or interviews.</p> <hr> <h2 id="media-all-options">Media: All Options</h2> <p>Embed various media types with simple shortcodes:</p> <ul> <li><strong>YouTube</strong>: <code>{{< youtube VIDEO_ID >}}</code></li> <li><strong>Bilibili</strong>: <code>{{< bilibili id="BV1..." >}}</code></li> <li><strong>Local videos</strong>: <code>{{< video src="file.mp4" controls="yes" >}}</code></li> <li><strong>Audio</strong>: <code>{{< audio src="file.mp3" >}}</code></li> </ul> <p>Perfect for demos, interviews, tutorials, or podcasts!</p> <p>Note: All media types work seamlessly in slides. Just use the appropriate shortcode.</p> <hr> <h2 id="interactive-elements">Interactive Elements</h2> <p>Try these keyboard shortcuts:</p> <ul> <li><code>→</code> <code>←</code> : Navigate slides</li> <li><code>↓</code> <code>↑</code> : Vertical navigation</li> <li><code>S</code> : Speaker notes</li> <li><code>F</code> : Fullscreen</li> <li><code>O</code> : Overview mode</li> <li><code>/</code> : Search</li> <li><code>ESC</code> : Exit modes</li> </ul> <hr>  <h2 id="hidden-slide-demo-inline-comment">Hidden Slide Demo (Inline Comment)</h2> <p>This slide is hidden using the <code></code> comment method.</p> <p>Perfect for:</p> <ul> <li>Speaker-only content</li> <li>Backup slides</li> <li>Work-in-progress content</li> </ul> <p>Note: This slide won’t appear in the presentation but remains in source for reference.</p> <hr> <h2 id="thanks">Thanks</h2> <h3 id="questions">Questions?</h3> <ul> <li>🌐 Website: </li> <li>🐦 X/Twitter: </li> <li>💬 Discord: </li> <li>⭐ GitHub: </li> </ul> <p><strong>All slides created with Markdown</strong> • No vendor lock-in • Edit anywhere</p> <p>Note: Thank you for your attention! Feel free to reach out with questions or contributions.</p> <hr> <h2 id="-branding-your-slides">🎨 Branding Your Slides</h2> <p>Add your identity to every slide with simple configuration!</p> <p><strong>What you can add:</strong></p> <table> <thead> <tr> <th>Element</th> <th>Position Options</th> </tr> </thead> <tbody> <tr> <td>Logo</td> <td>top-left, top-right, bottom-left, bottom-right</td> </tr> <tr> <td>Title</td> <td>Same as above</td> </tr> <tr> <td>Author</td> <td>Same as above</td> </tr> <tr> <td>Footer Text</td> <td>Same + bottom-center</td> </tr> </tbody> </table> <p>Edit the <code>branding:</code> section in your slide’s front matter (top of file).</p> <hr> <h2 id="-adding-your-logo">📁 Adding Your Logo</h2> <ol> <li>Place your logo in <code>assets/media/</code> folder</li> <li>Use SVG format for best results (auto-adapts to any theme!)</li> <li>Add to front matter:</li> </ol> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-yaml" data-lang="yaml"><span class="line"><span class="cl"><span class="nt">branding</span><span class="p">:</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">logo</span><span class="p">:</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">filename</span><span class="p">:</span><span class="w"> </span><span class="s2">"your-logo.svg"</span><span class="w"> </span><span class="c"># Must be in assets/media/</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">position</span><span class="p">:</span><span class="w"> </span><span class="s2">"top-right"</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">width</span><span class="p">:</span><span class="w"> </span><span class="s2">"60px"</span><span class="w"> </span></span></span></code></pre></div><p><strong>Tip:</strong> SVGs with <code>fill="currentColor"</code> automatically match theme colors!</p> <hr> <h2 id="-title--author-overlays">📝 Title & Author Overlays</h2> <p>Show presentation title and/or author on every slide:</p> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-yaml" data-lang="yaml"><span class="line"><span class="cl"><span class="nt">branding</span><span class="p">:</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">title</span><span class="p">:</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">show</span><span class="p">:</span><span class="w"> </span><span class="kc">true</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">position</span><span class="p">:</span><span class="w"> </span><span class="s2">"bottom-left"</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">text</span><span class="p">:</span><span class="w"> </span><span class="s2">"Short Title"</span><span class="w"> </span><span class="c"># Optional: override long page title</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">author</span><span class="p">:</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">show</span><span class="p">:</span><span class="w"> </span><span class="kc">true</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">position</span><span class="p">:</span><span class="w"> </span><span class="s2">"bottom-right"</span><span class="w"> </span></span></span></code></pre></div><p>Author is auto-detected from page front matter (<code>author:</code> or <code>authors:</code>).</p> <hr> <h2 id="-footer-text">📄 Footer Text</h2> <p>Add copyright, conference name, or any persistent text:</p> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-yaml" data-lang="yaml"><span class="line"><span class="cl"><span class="nt">branding</span><span class="p">:</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">footer</span><span class="p">:</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">text</span><span class="p">:</span><span class="w"> </span><span class="s2">"© 2024 Your Name · ICML 2024"</span><span class="w"> </span></span></span><span class="line"><span class="cl"><span class="w"> </span><span class="nt">position</span><span class="p">:</span><span class="w"> </span><span class="s2">"bottom-center"</span><span class="w"> </span></span></span></code></pre></div><p><strong>Tip:</strong> Supports Markdown! Use <code>[Link](url)</code> for clickable links.</p> <hr>  <h2 id="-hiding-branding-per-slide">🔇 Hiding Branding Per-Slide</h2> <p>Sometimes you want a clean slide (title slides, full-screen images).</p> <p>Add this comment at the <strong>start</strong> of your slide content:</p> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-markdown" data-lang="markdown"><span class="line"><span class="cl"> </span></span><span class="line"><span class="cl"><span class="gu">## My Clean Slide </span></span></span><span class="line"><span class="cl"> </span></span><span class="line"><span class="cl">Content here... </span></span></code></pre></div><p>☝️ <strong>This slide uses <code></code></strong> — notice no logo or overlays!</p> <hr>  <h2 id="-selective-hiding">🔇 Selective Hiding</h2> <p>Hide just the header (logo + title):</p> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-markdown" data-lang="markdown"><span class="line"><span class="cl"> </span></span></code></pre></div><p>Or just the footer (author + footer text):</p> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-markdown" data-lang="markdown"><span class="line"><span class="cl"> </span></span></code></pre></div><p>☝️ <strong>This slide uses <code></code></strong> — footer still visible below!</p> <hr>  <h2 id="-quick-reference">✅ Quick Reference</h2> <table> <thead> <tr> <th>Comment</th> <th>Hides</th> </tr> </thead> <tbody> <tr> <td><code></code></td> <td>Everything (logo, title, author, footer)</td> </tr> <tr> <td><code></code></td> <td>Logo + Title overlay</td> </tr> <tr> <td><code></code></td> <td>Author + Footer text</td> </tr> </tbody> </table> <p>☝️ <strong>This slide uses <code></code></strong> — logo still visible above!</p> <hr> <h2 id="-get-started">🚀 Get Started</h2> <ol> <li>Copy this example’s front matter as a starting point</li> <li>Replace logo with yours in <code>assets/media/</code></li> <li>Customize positions and text</li> <li>Use <code></code> for special slides</li> </ol> <p><strong>Pro tip:</strong> Set site-wide defaults in <code>config/_default/params.yaml</code> under <code>slides.branding</code>!</p> <div class="footnotes" role="doc-endnotes"> <hr> <ol> <li id="fn:1"> <p>Smith, J. et al. (2024). <em>Open Science Presentations</em>. Nature Methods. <a href="#fnref:1" class="footnote-backref" role="doc-backlink">↩︎</a></p> </li> </ol> </div> </article> <article> <h1>Experience</h1> <p>Tue, 24 Oct 2023 00:00:00 +0000</p> </article> <article> <h1>Link Prediction in Citation Networks</h1> <p>Tue, 01 Feb 2022 00:00:00 +0000</p> <p>This project presents our solution for the CentraleSupélec Data Science Kaggle Competition, where we achieved <strong>2nd Place</strong> for the task of <strong>link prediction in citation networks</strong>.</p> <p>The goal of the project was to predict missing links between papers in a citation graph using machine learning and graph-based methods. The task required understanding the structure of citation networks and designing models that could effectively infer whether an edge should exist between two nodes.</p> <p>Our approach focused on leveraging graph representations and learning meaningful relationships between papers based on the network structure. This project highlights the use of <strong>Graph Neural Networks (GNNs)</strong> and related techniques for relational learning on graph data.</p> <p>You can view the full winning solution here:</p> <p> </p> </article> <article> <h1>Twitter Sentiment Analysis on Stocks</h1> <p>Tue, 01 Jun 2021 00:00:00 +0000</p> <p>This project analyzes <strong>Twitter sentiment related to stock market discussions</strong> to understand how social media opinions correlate with stock movements.</p> <p>The goal of the project was to extract insights from large volumes of Twitter data and classify tweets based on their sentiment toward specific stocks. By applying <strong>Natural Language Processing (NLP)</strong> and machine learning techniques, the model identifies whether tweets express positive, negative, or neutral sentiment.</p> <p>The workflow includes data preprocessing, feature extraction from text, sentiment classification, and analysis of sentiment trends related to financial markets. This project demonstrates how <strong>social media data can be leveraged for financial analytics and market sentiment understanding</strong>.</p> <p>You can explore the project repository here:</p> <p> </p> </article> <article> <h1>An example preprint / working paper</h1> <p>Sun, 07 Apr 2019 00:00:00 +0000</p> <p>This work is driven by the results in my on LLMs.</p> <div class="callout flex px-4 py-3 mb-6 rounded-md border-l-4 bg-blue-100 dark:bg-blue-900 border-blue-500" data-callout="note" data-callout-metadata=""> <span class="callout-icon pr-3 pt-1 text-blue-600 dark:text-blue-300"> <svg height="24" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="1.5" d="m16.862 4.487l1.687-1.688a1.875 1.875 0 1 1 2.652 2.652L6.832 19.82a4.5 4.5 0 0 1-1.897 1.13l-2.685.8l.8-2.685a4.5 4.5 0 0 1 1.13-1.897zm0 0L19.5 7.125"/></svg> </span> <div class="callout-content dark:text-neutral-300"> <div class="callout-title font-semibold mb-1">Note</div> <div class="callout-body"><p>Create your slides in Markdown - click the <em>Slides</em> button to check out the example.</p></div> </div> </div> <p>Add the publication’s <strong>full text</strong> or <strong>supplementary notes</strong> here. You can use rich formatting such as including .</p> </article> <article> <h1>An example conference paper</h1> <p>Mon, 01 Jul 2013 00:00:00 +0000</p> <div class="callout flex px-4 py-3 mb-6 rounded-md border-l-4 bg-blue-100 dark:bg-blue-900 border-blue-500" data-callout="note" data-callout-metadata=""> <span class="callout-icon pr-3 pt-1 text-blue-600 dark:text-blue-300"> <svg height="24" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="1.5" d="m16.862 4.487l1.687-1.688a1.875 1.875 0 1 1 2.652 2.652L6.832 19.82a4.5 4.5 0 0 1-1.897 1.13l-2.685.8l.8-2.685a4.5 4.5 0 0 1 1.13-1.897zm0 0L19.5 7.125"/></svg> </span> <div class="callout-content dark:text-neutral-300"> <div class="callout-title font-semibold mb-1">Note</div> <div class="callout-body"><p>Click the <em>Cite</em> button above to demo the feature to enable visitors to import publication metadata into their reference management software.</p></div> </div> </div> <div class="callout flex px-4 py-3 mb-6 rounded-md border-l-4 bg-blue-100 dark:bg-blue-900 border-blue-500" data-callout="note" data-callout-metadata=""> <span class="callout-icon pr-3 pt-1 text-blue-600 dark:text-blue-300"> <svg height="24" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="1.5" d="m16.862 4.487l1.687-1.688a1.875 1.875 0 1 1 2.652 2.652L6.832 19.82a4.5 4.5 0 0 1-1.897 1.13l-2.685.8l.8-2.685a4.5 4.5 0 0 1 1.13-1.897zm0 0L19.5 7.125"/></svg> </span> <div class="callout-content dark:text-neutral-300"> <div class="callout-title font-semibold mb-1">Note</div> <div class="callout-body"><p>Create your slides in Markdown - click the <em>Slides</em> button to check out the example.</p></div> </div> </div> <p>Add the publication’s <strong>full text</strong> or <strong>supplementary notes</strong> here. You can use rich formatting such as including .</p> </article> </main></body></html>