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Graph Neural Networks

Apr 30, 2025 Linear Algebra 21 min read

Essence of Linear Algebra (18): Frontiers and Summary

Series finale: quantum gates as unitary matrices, graph convolution as Laplacian filtering, attention as soft retrieval, LoRA as low-rank adaptation, tensor networks, the matrix exponential, free probability, and a …

Aug 14, 2024 PDE and Machine Learning 16 min read

PDE and Machine Learning (8): Reaction-Diffusion Systems and Graph Neural Networks

Deep GNNs collapse because they are diffusion equations on graphs. Turing's reaction-diffusion theory tells us how to fix it -- and closes the eight-chapter PDE+ML series.