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Model Perspective
Model Perspective
Jun 2, 2024 · Fundamentals

Why Fourier Series Revolutionized Mathematics and Modern Technology

Fourier series, introduced by Joseph Fourier to solve the heat equation, uses sine and cosine functions to represent complex phenomena, enabling the decomposition of problems into simpler parts and finding applications across wave motion, physics, finance, and modern digital signal processing.

Fourier seriesharmonic analysisheat equation
0 likes · 4 min read
Why Fourier Series Revolutionized Mathematics and Modern Technology
DataFunTalk
DataFunTalk
Mar 27, 2019 · Artificial Intelligence

Understanding Graph Convolutional Networks through Heat Diffusion and Laplacian Operators

The article explains how the heat diffusion equation and the Laplacian operator on graphs provide a physical intuition for Graph Convolutional Networks, showing the equivalence between continuous‑space Fourier analysis and discrete‑space message passing, and linking these concepts to semi‑supervised learning and GraphSAGE implementations.

GCNGraph Neural NetworksLaplacian
0 likes · 19 min read
Understanding Graph Convolutional Networks through Heat Diffusion and Laplacian Operators