Uploaded May 2022 | Updated September 2026, 1 week ago
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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.
β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬
β Paper: arxiv.org/abs/1910.12933
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βοΈ 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
β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬
π° BECOME A PATREON OF THE AI EPIPHANY β€οΈ
If these videos, GitHub projects, and blogs help you,
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One-time donation - paypal.com/paypalme/theaiepiphany
Huge thank you to these AI Epiphany patreons:
Eli Mahler
Kevin Stone
Petar VeliΔkoviΔ
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β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬
#graphs #graphconvolutionalnetwork #hyperbolicspace
β€οΈ Become The AI Epiphany Patreon β€οΈ
patreon.com/theaiepiphany
π¨βπ©βπ§βπ¦ Join our Discord community π¨βπ©βπ§βπ¦
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.
β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬
β Paper: arxiv.org/abs/1910.12933
β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬
βοΈ 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
β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬
π° BECOME A PATREON OF THE AI EPIPHANY β€οΈ
If these videos, GitHub projects, and blogs help you,
consider helping me out by supporting me on Patreon!
The AI Epiphany - patreon.com/theaiepiphany
One-time donation - paypal.com/paypalme/theaiepiphany
Huge thank you to these AI Epiphany patreons:
Eli Mahler
Kevin Stone
Petar VeliΔkoviΔ
β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬
πΌ LinkedIn - linkedin.com/in/aleksagordic
π¦ Twitter - twitter.com/gordic_aleksa
π¨βπ©βπ§βπ¦ Discord - discord.gg/peBrCpheKE
πΊ YouTube - youtube.com/c/TheAIEpiphany
π Medium - gordicaleksa.medium.com
π» GitHub - github.com/gordicaleksa
π’ AI Newsletter - aiepiphany.substack.com
β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬β¬
#graphs #graphconvolutionalnetwork #hyperbolicspace
