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Taming Non-stationary Bandits: A Bayesian Approach

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arxiv 1707.09727 v1 pith:X3HGWP3B submitted 2017-07-31 stat.ML cs.LG

classification stat.MLcs.LG
keywords algorithmsbanditbayesiannon-stationaryscenariosvariousalgorithmanalysis
verification ladder T0 review T1 audit T2 compute T3 formal

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We consider the multi armed bandit problem in non-stationary environments. Based on the Bayesian method, we propose a variant of Thompson Sampling which can be used in both rested and restless bandit scenarios. Applying discounting to the parameters of prior distribution, we describe a way to systematically reduce the effect of past observations. Further, we derive the exact expression for the probability of picking sub-optimal arms. By increasing the exploitative value of Bayes' samples, we also provide an optimistic version of the algorithm. Extensive empirical analysis is conducted under various scenarios to validate the utility of proposed algorithms. A comparison study with various state-of-the-arm algorithms is also included.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 48 citations worldwide. Full citation record

  1. Natural Policy Gradient for Average Reward Non-Stationary RL

    cs.LG 2025-04 conditional novelty 7.0 of 10

    A natural actor-critic algorithm for non-stationary average-reward MDPs achieves dynamic regret O~(sqrt(|S||A|) Delta_T^{1/6} T^{5/6}).

  2. TS-Insight: Visualizing Thompson Sampling for Verification and XAI

    cs.HC 2025-07 conditional novelty 6.0 of 10

    A web-based visualization tool exposes Thompson Sampling's posterior draws, evidence counts, and selection history to support per-arm verification and step-level explanation.

  3. Thompson Sampling-like Algorithms for Stochastic Rising Bandits

    stat.ML 2025-05 conditional novelty 6.0 of 10

    Thompson sampling with Beta or Gaussian priors and forced exploration achieves sublinear regret in stochastic rising rested bandits, with a new instance-complexity index sigma controlling the cost.

  4. Flow-Corrected Thompson Sampling for Non-Stationary Contextual Bandits

    eess.SY 2026-06 unverdicted novelty 5.0 of 10

    fcTS corrects and reweights historical observations via drift models for linear, periodic, and regime-switching non-stationarities in contextual bandits, outperforming forgetting baselines in structured cases.

  5. Accelerated learning from recommender systems using multi-armed bandit

    cs.IR 2019-08 conditional novelty 4.0 of 10

    A Vrbo team used daily Thompson sampling to rank four recommendation models by click-through rate, but the A/B validation they report is for a previous campaign's winner, not the current one.

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