1<!DOCTYPE html> 2<html lang="en"> 3<head> 4 <meta charset="utf-8" /> 5 <meta http-equiv="x-ua-compatible" content="ie=edge" /> 6 <meta name="viewport" content="width=device-width, initial-scale=1.0" /> 7 <title>Blog | Jiahang Cao</title> 8 <meta 9 name="description" 10 content="Technical notes, research essays, and mathematical reflections on robot learning, world models, and embodied intelligence." /> 11 <meta name="author" content="Jiahang Cao" /> 12 13 <link href="../data/æ´1.ico" rel="icon" type="image/x-icon" /> 14 <link rel="preconnect" href="https://fonts.googleapis.com" /> 15 <link rel="preconnect" href="https://fonts.gstatic.com" crossorigin /> 16 <link 17 href="https://fonts.googleapis.com/css?family=Raleway:200,300,400,500,600,700,800,900%7cOpen+Sans:400,600,700,800&display=swap" 18 rel="stylesheet" /> 19 <link rel="stylesheet" href="../css/bootstrap.css" /> 20 <link rel="stylesheet" href="../css/style.css" /> 21 <link rel="stylesheet" href="../css/site-extra.css" /> 22 <link rel="stylesheet" href="../css/font-awesome.min.css" /> 23</head> 24 25<body class="writing-page"> 26 <nav id="navbar" class="navbar navbar-expand-lg navbar-dark blog-nav"> 27 <div class="container"> 28 <a class="navbar-brand logo" href="../" aria-label="Jiahang Cao homepage">Jiahang Cao</a> 29 30 <button 31 class="navbar-toggler collapsed" 32 type="button" 33 data-toggle="collapse" 34 data-target="#navbarCollapse" 35 aria-controls="navbarCollapse" 36 aria-expanded="false" 37 aria-label="Toggle navigation"> 38 <span class="navbar-toggler-icon"></span> 39 </button> 40 41 <div class="navbar-collapse collapse" id="navbarCollapse"> 42 <ul class="navbar-nav ml-auto"> 43 <li class="nav-item"><a href="../#home" class="nav-link">Home</a></li> 44 <li class="nav-item"><a href="../#about" class="nav-link">About</a></li> 45 <li class="nav-item"><a href="./" class="nav-link active">Blog</a></li> 46 <li class="nav-item"><a href="../#research" class="nav-link">Research</a></li> 47 <li class="nav-item"><a href="../#portfolio" class="nav-link">Misc</a></li> 48 </ul> 49 </div> 50 </div> 51 </nav> 52 53 <main class="writing-index"> 54 <div class="container"> 55 <header class="writing-index-header"> 56 <div class="writing-index-kicker">Technical Notes</div> 57 <h1>Blog</h1> 58 <p> 59 Technical notes, and mathematical reflections on AI and Robotics. 60 </p> 61 </header> 62 63 <section class="writing-list" aria-label="Blog posts"> 64 <article class="writing-card"> 65 <div> 66 <div class="writing-card-meta"> 67 <time datetime="2026-06-19">June 19, 2026</time> 68 <span>15 min read</span> 69 </div> 70 <h2> 71 <a href="math-of-world-model-paradigms/"> 72 The Math Behind World Model Paradigms for Robot Learning 73 </a> 74 </h2> 75 <p> 76 A mathematical analysis of IDM-style, Single-backbone-style, and MoT-style world-model paradigms in robot learning from the perspectives of probabilistic modeling, structured optimization, gradient conflict, and parameter coupling. 77 </p> 78 <div class="writing-tags" aria-label="Article tags"> 79 <span>Robot Learning</span> 80 <span>World Models</span> 81 <span>Mathematical Notes</span> 82 </div> 83 </div> 84 <a class="writing-card-link" href="math-of-world-model-paradigms/">Read article →</a> 85 </article> 86 </section> 87 </div> 88 </main> 89 90 <footer id="footer" class="pt-50 pb-50"> 91 <div class="container"> 92 <div class="row text-center"> 93 <div class="col-md-12"> 94 <p class="copy pt-12">Jiahang Cao © 2026. All Right Reserved.</p> 95 </div> 96 </div> 97 </div> 98 </footer> 99 100
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