mlsanityData to 7 Oct 2026

Stochastic Local Winner-Takes-All Networks Enable Profound Adversarial Robustness

arXiv 2112.02671 ↗First posted 5 Dec 2021cs.LG stat.MLcited by 11

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Abstract (arXiv)

This work explores the potency of stochastic competition-based activations, namely Stochastic Local Winner-Takes-All (LWTA), against powerful (gradient-based) white-box and black-box adversarial attacks; we especially focus on Adversarial Training settings. In our work, we replace the conventional ReLU-based nonlinearities with blocks comprising locally and stochastically competing linear units. The output of each network layer now yields a sparse output, depending on the outcome of winner sampling in each block. We rely on the Variational Bayesian framework for training and inference; we incorporate conventional PGD-based adversarial training arguments to increase the overall adversarial robustness. As we experimentally show, the arising networks yield state-of-the-art robustness against powerful adversarial attacks while retaining very high classification rate in the benign case.

Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 17 of its 20 references that are in the map. First posted on arXiv 5 Dec 2021.

Builds on

17 of 20 references.

References · 17

  1. 2017Towards Deep Learning Models Resistant to Adversarial Attackscited by 6,326
  2. 2013Auto-Encoding Variational Bayescited by 3,980
  3. 2016Wide Residual Networkscited by 3,057
  4. 2020Reliable evaluation of adversarial robustness with an ensemble of diverse parameter-free attackscited by 1,442
  5. 2018Obfuscated Gradients Give a False Sense of Security: Circumventing Defenses to Adversarial Examplescited by 1,259
  6. 2016The Concrete Distribution: A Continuous Relaxation of Discrete Random Variablescited by 1,135
  7. 2020Overfitting in adversarially robust deep learningcited by 504
  8. 2019Unlabeled Data Improves Adversarial Robustnesscited by 415
  9. 2019Using Pre-Training Can Improve Model Robustness and Uncertaintycited by 373
  10. 2020Uncovering the Limits of Adversarial Training against Norm-Bounded Adversarial Examplescited by 275
  11. 2020Attacks Which Do Not Kill Training Make Adversarial Learning Strongercited by 242
  12. 2020Boosting Adversarial Training with Hypersphere Embeddingcited by 97
5 more
  1. 2020Do Wider Neural Networks Really Help Adversarial Robustness?cited by 79
  2. 2019The Limitations of Adversarial Training and the Blind-Spot Attackcited by 63
  3. 2021Stochastic Transformer Networks with Linear Competing Units: Application to end-to-end SL Translationcited by 35
  4. 2018Nonparametric Bayesian Deep Networks with Local Competitioncited by 17
  5. 2021Local Competition and Stochasticity for Adversarial Robustness in Deep Learningcited by 12

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Citing papers per year: 2022: 2; 2023: 4; 2024: 2; 2025: 3.

11 papers.