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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="color-scheme" content="dark light">
<title>Ben Walker | Mathematics & Machine Learning</title>
<link rel="stylesheet" href="modern_style.css">
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.5.2/css/all.min.css">
</head>
<body>
<nav>
<div class="nav-content">
<div class="logo">BW</div>
<div class="nav-links">
<a href="#about">About</a>
<a href="#research">Research</a>
<a href="#code">Code</a>
<a href="#contact">Contact</a>
<button id="theme-toggle">
<i class="fas fa-sun"></i>
</button>
</div>
</div>
</nav>
<main>
<section id="hero">
<h1>Benjamin Walker</h1>
<h5>PhD Student in Mathematics at Oxford University</h5>
<div class="social-links">
<a href="https://twitter.com/ML_BenWalker" target="_blank"><i class="fab fa-twitter"></i></a>
<a href="https://bsky.app/profile/benjamincwalker.bsky.social" target="_blank"><i class="fab fa-bluesky"></i></a>
<a href="https://github.com/Benjamin-Walker" target="_blank"><i class="fab fa-github"></i></a>
<a href="https://www.linkedin.com/in/benjamin-walker-3880771b9/" target="_blank"><i class="fab fa-linkedin"></i></a>
<a href="CV.pdf" target="_blank" class="cv-button">CV</a>
</div>
</section>
<section id="about">
<h2>About</h2>
<div class="about-content">
<div class="about-text">
<h3>Current Position</h3>
<p>I am a PhD student in Mathematics at the University of Oxford, supervised by Terry Lyons. I currently hold a Lectureship in Applied Mathematics at Balliol College.</p>
<h3>Research Focus</h3>
<p>My research focuses on machine learning for sequential data, particularly in developing theoretically principled approaches to time series modeling. Additional interests include generative modelling and machine learning in healthcare.</p>
<h3>Education</h3>
<ul>
<li>DPhil Mathematics, University of Oxford (2022-2025)</li>
<li>MSc Mathematical Modelling and Scientific Computing, University of Oxford (2020-2021), Distinction</li>
<li>MMaths&Physics, University of Manchester (2016-2020), First Class Honours</li>
</ul>
</div>
</div>
</section>
<section id="research">
<h2>Research</h2>
<div class="publications">
<div class="publication">
<h4>Log Neural Controlled Differential Equations</h4>
<p>ICML 2024</p>
<a href="https://arxiv.org/abs/2402.18512" target="_blank">View Paper</a>
</div>
<div class="publication">
<h4>Theoretical Foundations of Deep Selective State-Space Models</h4>
<p>NeurIPS 2024</p>
<a href="https://arxiv.org/abs/2402.19047" target="_blank">View Paper</a>
</div>
<div class="publication">
<h4>ECG Signal Reconstruction from Printouts</h4>
<p>Computing in Cardiology 2024</p>
<a href="https://cinc.org/archives/2024/pdf/CinC2024-097.pdf" target="_blank">View Paper</a>
</div>
<div class="publication">
<h4>ScoEHR: Generating Synthetic Electronic Health Records</h4>
<p>Machine Learning for Healthcare 2023</p>
<a href="https://proceedings.mlr.press/v219/naseer23a.html" target="_blank">View Paper</a>
</div>
<div class="publication">
<h4>Dual Bayesian ResNet for Heart Murmur Detection</h4>
<p>Computing in Cardiology 2022</p>
<a href="https://ieeexplore.ieee.org/abstract/document/10081848/" target="_blank">View Paper</a>
</div>
</div>
</section>
<section id="code">
<h2>Code</h2>
<div class="projects">
<div class="project">
<h4>Log Neural CDEs</h4>
<p>Implementation of Log Neural Controlled Differential Equations (ICML 2024)</p>
<a href="https://github.com/Benjamin-Walker/log-neural-cdes" target="_blank">View Project</a>
</div>
<div class="project">
<h4>Selective SSMs and Linear NCDEs</h4>
<p>Theoretical Foundations of Deep Selective State-Space Models (NeurIPS 2024)</p>
<a href="https://github.com/Benjamin-Walker/selective-ssms-and-linear-cdes" target="_blank">View Project</a>
</div>
<div class="project">
<h4>Heart Murmur Detection</h4>
<p>Dual Bayesian ResNet for Heart Murmur Detection from Phonocardiograms (CinC 2022)</p>
<a href="https://github.com/Benjamin-Walker/heart-murmur-detection" target="_blank">View Project</a>
</div>
<div class="project">
<h4>Diffrax Diffusion Models</h4>
<p>Score-based diffusion models implemented in JAX</p>
<a href="https://github.com/Benjamin-Walker/diffrax-diffusion-models" target="_blank">View Project</a>
</div>
<div class="project">
<h4>Live Vinyl Display</h4>
<p>Real-time music recognition system for vinyl records</p>
<a href="https://github.com/Benjamin-Walker/live-vinyl-display" target="_blank">View Project</a>
</div>
<div class="project">
<h4>Personal Website</h4>
<p>This website's source code with terminal-style interface and modern webpage</p>
<a href="https://github.com/Benjamin-Walker/benjamin-walker.github.io" target="_blank">View Project</a>
</div>
</div>
</section>
<section id="contact">
<h2>Contact</h2>
<div class="contact-content">
<p>Feel free to reach out via email or social media.</p>
<div class="social-links">
<a href="https://twitter.com/ML_BenWalker" target="_blank"><i class="fab fa-twitter"></i></a>
<a href="https://bsky.app/profile/benjamincwalker.bsky.social" target="_blank"><i class="fab fa-bluesky"></i></a>
<a href="https://github.com/Benjamin-Walker" target="_blank"><i class="fab fa-github"></i></a>
<a href="https://www.linkedin.com/in/benjamin-walker-3880771b9/" target="_blank"><i class="fab fa-linkedin"></i></a>
</div>
</div>
</section>
</main>
<footer>
<p>© 2024 Ben Walker</p>
<button id="terminal-mode" onclick="window.location.href='index.html'">Switch to Terminal Mode</button>
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