A Gaussian-kernel diffusion operator on feature clouds yields closed-form class affinities and spectra in Gaussian models, with provably smooth observables under perturbations.
Topology of deep neural networks
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ReLU activation patterns create polytope decompositions whose dual graph Fiedler partitions correlate with decision boundaries, and cell counts track training loss.
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Diffusion Operator Geometry of Feedforward Representations
A Gaussian-kernel diffusion operator on feature clouds yields closed-form class affinities and spectra in Gaussian models, with provably smooth observables under perturbations.
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Topological Signatures of ReLU Neural Network Activation Patterns
ReLU activation patterns create polytope decompositions whose dual graph Fiedler partitions correlate with decision boundaries, and cell counts track training loss.