Convolutional Neural Network Insights for Experts
Most people stop at “CNNs are translation invariant.” But that’s only the surface. CNNs don’t just learn pixels—they learn Lie group representations, projecting signals into symmetry-aware spaces. Convolution is group convolution, pooling is projection to invariants, and filters rediscover the optimal bases found in nature. At their core, CNNs are not just neural networks—they are mathematical operators rooted in geometry, representation theory, and physics.
by Amarnath Pandey
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