A Generalization Bound for Nearly-Linear Networks

Eugene Golikov

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arXiv · 2407.06765

A Generalization Bound for Nearly-Linear Networks

Eugene Golikov

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Abstract

We consider nonlinear networks as perturbations of linear ones. Based on this approach, we present novel generalization bounds that become non-vacuous for networks that are close to being linear. The main advantage over the previous works which propose non-vacuous generalization bounds is that our bounds are a-priori: performing the actual training is not required for evaluating the bounds. To the best of our knowledge, they are the first non-vacuous generalization bounds for neural nets possessing this property.

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Eugene Golikov. 2024-07-09. A Generalization Bound for Nearly-Linear Networks. https://arxiv.org/abs/2407.06765

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