Hyperbolic Graph Convolutional Networks | Geometric ML Paper Explained
❤️ Become The AI Epiphany Patreon ❤️ https://www.patreon.com/theaiepiphany 👨👩👧👦 Join our Discord community 👨👩👧👦 https://discord.gg/peBrCpheKE In this video we dig deep into the hyperbolic graph convolutional networks paper introducing a class of GCNs operating in the hyperbolic space. Hyperbolic GCNs give exceptional results for the class of scale-free/hierarchical/tree-like graphs. I dive deep into differential geometry theory and explain how the method works. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ✅ Paper: https://arxiv.org/abs/1910.12933 ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ⌚️ Timetable: 00:00 Intro - why the hyperbolic space? 04:00 Graph Convolutional Networks recap 08:50 Hyperbolic space and curvature theory 15:25 Geodesics, exp, and log maps 23:00 Mapping from Euclidean to hyperbolic space 26:35 Feature transform in hyperbolic space 32:47 Aggregregation on the hyperboloid manifold 35:25 Non-linear activation with different curvatures 36:30 Holistic overview of the method 38:20 Results, Ablations, and curvature analysis 41:00 Why does curvature help? 42:05 Outro ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 💰 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 - https://www.patreon.com/theaiepiphany One-time donation - https://www.paypal.com/paypalme/theaiepiphany Huge thank you to these AI Epiphany patreons: Eli Mahler Kevin Stone Petar Veličković ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 💼 LinkedIn - https://www.linkedin.com/in/aleksagordic/ 🐦 Twitter - https://twitter.com/gordic_aleksa 👨👩👧👦 Discord - https://discord.gg/peBrCpheKE 📺 YouTube - https://www.youtube.com/c/TheAIEpiphany/ 📚 Medium - https://gordicaleksa.medium.com/ 💻 GitHub - https://github.com/gordicaleksa 📢 AI Newsletter - https://aiepiphany.substack.com/ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ #graphs #graphconvolutionalnetwork #hyperbolicspace
