arXiv AI

Reserve-Aware Contrast Certificates for Conservative Bandits with Uncertain Baselines

The paper introduces Reserve-C4B, a method for conservative bandits that ensures improvement over an incumbent policy while respecting a performance budget, even when the incumbent’s reward is uncertain. By focusing on the baseline-relative contrast and using a shared confidence set, the approach derives an exact expression for the avoidable penalty and a tighter admissibility test at each history. The method incorporates a reserve ledger to separate statistical evidence from performance deficit and a prefix-refresh extension to recertify decisions without discarding prior credit, achieving high-probability conditional-mean performance guarantees for linear rewards.

arXiv Machine Learning
Sep 18

Odds-Ratio Thompson Sampling: A Specification and Design Guide for Contrast-Based Multi-Armed Bandits

The paper introduces Odds‑Ratio Thompson Sampling (OR‑TS), a method for batched multi‑armed bandits that updates the joint posterior over log‑odds contrasts and refits the shared level in each batch, rather than carrying over absolute reward rates. It presents a Bayesian bandit agent with controls for decay of past evidence and aggressiveness of allocation, and evaluates OR‑TS against traditional absolute‑rate memory across 86 public A/B series and synthetic environments. Results show that when the shared level varies significantly, OR‑TS outperforms absolute‑rate memory, reducing regret and ensuring the best arm receives more traffic, while also handling cases where contrasts themselves shift.

By Sulgi Kim
arXiv Machine Learning
Jun 2

Bandit Simulation for Average Reward Inference

arXiv:2606. 00913v1 Announce Type: cross Abstract: Multi-arm bandit algorithms are increasingly used in online platforms, clinical trials, and social science experiments, but valid statistical inference on their performance remains an open challenge.

By Samya Praharaj, Chih-Yu Chang, Koulik Khamaru, Kelly W. Zhang
arXiv Machine Learning
Aug 10

Bootstrap-Conditioned Action Selection with Tabular Foundation Models

arXiv:2608. 06559v1 Announce Type: new Abstract: Contextual bandits offer a natural framework for sample-efficient personalization, but practical deployment remains difficult under sparse, biased interaction data, unreliable uncertainty estimates, and severe cold starts.

By Devansh Gupta, Shiv Tavker, Dmitry Efimov, Suchitra Sathyanarayana, Gitanjali Bhutani, Boris N. Oreshkin
arXiv Machine Learning
Jun 30

Randomized Exploration for Linear Bandits via Absolute Perturbations

arXiv:2606. 28616v1 Announce Type: new Abstract: In stochastic linear bandits, the canonical Upper Confidence Bound (UCB) algorithm admits a simple frequentist regret analysis but can be computationally demanding, while Thompson Sampling (TS) is computationally attractive yet typically harder to analyze due to its non-optimistic nature.

By Toshinori Kitamura, Shuai Liu, Csaba Szepesv\'ari