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Understanding Generalization through Visualizations

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arxiv 1906.03291 v6 pith:NT3RH3Y7 submitted 2019-06-07 cs.LG cs.NEstat.ML

classification cs.LGcs.NEstat.ML
keywords generalizationgeneralizeunderstandingabilityalwaysanalysisattemptsavailable
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The power of neural networks lies in their ability to generalize to unseen data, yet the underlying reasons for this phenomenon remain elusive. Numerous rigorous attempts have been made to explain generalization, but available bounds are still quite loose, and analysis does not always lead to true understanding. The goal of this work is to make generalization more intuitive. Using visualization methods, we discuss the mystery of generalization, the geometry of loss landscapes, and how the curse (or, rather, the blessing) of dimensionality causes optimizers to settle into minima that generalize well.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Partitioned integrators for thermodynamic parameterization of neural networks

    cs.LG 2019-08 conditional novelty 6.0 of 10

    Layer-partitioned Langevin integrators (LOL and AdLaLa) train single hidden layer perceptrons faster, more accurately, and more robustly than SGD/Adam on hard spiral and trigonometric classification problems.

  2. From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models

    cs.LG 2026-06 unverdicted novelty 5.0 of 10

    Data-driven models for physical systems share a common structure differing only in model class assumptions, with only mechanism-discovering models capable of generalization.

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