arXiv — Machine Learning · · 3 min read

Learning to Perturb Hidden Representations for Generalizable Deep Learning

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Computer Science > Machine Learning

arXiv:2605.29525 (cs)
[Submitted on 28 May 2026]

Title:Learning to Perturb Hidden Representations for Generalizable Deep Learning

Authors:Hua Li
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Abstract:Deep neural networks process data through a cascade of representations: input features, hidden activations, logits, and loss. While perturbations at the input, logit, and label levels have been systematically studied, the intermediate hidden activations, which constitute the bulk of the network's computation, have received no unified perturbation analysis. In this paper, we establish a unified framework for hidden activation perturbation, revealing that Dropout, Manifold Mixup, adversarial feature perturbation, and related methods all impose specific forms of activation perturbation but with class-agnostic or random strategies. We conjecture that expansive perturbation (increasing activation norm) acts as positive augmentation, while contractive perturbation (decreasing activation norm) acts as negative augmentation, and that the perturbation layer determines whether the effect resembles input-level augmentation (shallow layers) or logit-level manipulation (deep layers). We propose Learning to Perturb Activations (LPA), which adaptively perturbs activations at a selected hidden layer with class-level perturbations learned via PGD. We further provide theoretical analysis connecting activation perturbation to flat minima and perturbation amplification through layers. Experiments on balanced classification, long-tail classification, and domain generalization demonstrate that LPA consistently outperforms existing methods and provides complementary benefits to logit perturbation methods such as LPL.
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2605.29525 [cs.LG]
  (or arXiv:2605.29525v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.29525
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Hua Li [view email]
[v1] Thu, 28 May 2026 07:41:39 UTC (140 KB)
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