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arxiv: 1612.05849 · v2 · pith:MUIOGPORnew · submitted 2016-12-18 · 💻 cs.CC · math.MG

A Note on Pointwise Dimensions

classification 💻 cs.CC math.MG
keywords dimensionsnotepointwisealgorithmicclassicalconnectiondescribesindividual
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This short note describes a connection between algorithmic dimensions of individual points and classical pointwise dimensions of measures.

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  1. Pointwise Generalization in Deep Neural Networks

    cs.LG 2026-05 unverdicted novelty 7.0

    Proposes pointwise Riemannian Dimension from feature eigenvalues to derive tighter, representation-aware generalization bounds for deep networks in the nonlinear regime.