arXiv Machine Learning By Sulgi Kim

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

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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.

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