Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNs

❤️ Become The AI Epiphany Patreon ❤️ 👨‍👩‍👧‍👦 Join our Discord community 👨‍👩‍👧‍👦 In this video I cover “Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNs“ paper. The paper takes ideas from the sheaf theory - a branch of algebraic topology - and combines them with GNNs, enriching them with a rich geometric structure (sheaves) achieving provably more expressive diffusion-based graph neural networks! It took a lot of time to prepare this video and read everything that was necessary as a background reading - check out the resource section below for how to get started! ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ✅ Paper: Truly gentle introduction to sheaves: ✅ A Very Elementary Introduction to Sheaves: ✅ Opinion dynamics on discourse sheaves: ✅ Sheaf Neural Networks: Blogs: ✅ Blog accompanying the paper: ✅ Differential geometry and algebraic topology papers overview: ✅ Beginner intro to topology: ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ⌚️ Timetable: 00:00:00 Gentle intro to sheaf theory and algebraic topology 00:12:00 Making it less abstract: examples from sheaf theory 00:23:50 Formal terminology 00:27:40 Sheaf Laplacian dissected 00:40:00 The separation power of sheaf diffusion 00:53:00 Dirichlet energy and converging to harmonic space 01:01:05 Neural Sheaf Diffusion GNN 01:06:00 Results and outro (feedback appreciated) ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 💰 BECOME A PATREON OF THE AI EPIPHANY ❤️ If these videos, GitHub projects, and blogs help you, consider helping me out by supporting me on Patreon! The AI Epiphany - One-time donation - Huge thank you to these AI Epiphany patreons: Eli Mahler Kevin Stone Petar Veličković ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 💼 LinkedIn - 🐦 Twitter - 👨‍👩‍👧‍👦 Discord - 📺 YouTube - 📚 Medium - 💻 GitHub - 📢 AI Newsletter - ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ #sheaftheory #algebraictopology #oversmoothing #heterophily