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Exploration via Feature Perturbation in Contextual Bandits

arXiv 2510.17390 ↗First posted 20 Oct 2025cs.LG stat.MLcited by 0

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Abstract (arXiv)

We propose feature perturbation, a simple yet effective exploration strategy for contextual bandits that injects randomness directly into feature inputs, instead of randomizing unknown parameters or adding noise to rewards. Remarkably, this algorithm achieves tildeO(d√T) worst-case regret bound for generalized linear contextual bandits, while avoiding the tildeO(d3/2√T) regret typical of existing randomized bandit algorithms. Because our algorithm eschews parameter sampling, it is both computationally efficient and naturally extends to non-parametric or neural network models. We verify these advantages through empirical evaluations, demonstrating that feature perturbation not only surpasses existing methods but also unifies strong practical performance with the near-optimal regret guarantees.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 29 of its 55 references that are in the map. First posted on arXiv 20 Oct 2025.

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29 of 55 references.

References · 29

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  12. 2020Bypassing the Monster: A Faster and Simpler Optimal Algorithm for Contextual Bandits under Realizabilitycited by 115
17 more
  1. 2019Frequentist Regret Bounds for Randomized Least-Squares Value Iterationcited by 101
  2. 2019Randomized Exploration in Generalized Linear Banditscited by 70
  3. 2017Scalable Generalized Linear Bandits: Online Computation and Hashingcited by 64
  4. 2020Instance-Wise Minimax-Optimal Algorithms for Logistic Banditscited by 57
  5. 2022Jointly Efficient and Optimal Algorithms for Logistic Banditscited by 41
  6. 2020Upper Counterfactual Confidence Bounds: a New Optimism Principle for Contextual Banditscited by 40
  7. 2020Improved Confidence Bounds for the Linear Logistic Model and Applications to Linear Banditscited by 31
  8. 2019Perturbed-History Exploration in Stochastic Linear Banditscited by 29
  9. 2024A Unified Confidence Sequence for Generalized Linear Models, with Applications to Banditscited by 29
  10. 2023Improved Regret Bounds of (Multinomial) Logistic Bandits via Regret-to-Confidence-Set Conversioncited by 24
  11. 2024Generalized Linear Bandits with Limited Adaptivitycited by 22
  12. 2019Old Dog Learns New Tricks: Randomized UCB for Bandit Problemscited by 21
  13. 2020On Frequentist Regret of Linear Thompson Samplingcited by 14
  14. 2023Exploration via linearly perturbed loss minimisationcited by 13
  15. 2017Contextual Linear Bandits under Noisy Features: Towards Bayesian Oraclescited by 9
  16. 2025When and why randomised exploration works (in linear bandits)cited by 8
  17. 2024Improved Regret of Linear Ensemble Samplingcited by 6

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