Bias-Robust Bayesian Optimization via Dueling Bandits

Johannes Kirschner; Andreas Krause

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arXiv · 2105.11802

Bias-Robust Bayesian Optimization via Dueling Bandits

Johannes Kirschner·Andreas Krause

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Abstract

We consider Bayesian optimization in settings where observations can be adversarially biased, for example by an uncontrolled hidden confounder. Our first contribution is a reduction of the confounded setting to the dueling bandit model. Then we propose a novel approach for dueling bandits based on information-directed sampling (IDS). Thereby, we obtain the first efficient kernelized algorithm for dueling bandits that comes with cumulative regret guarantees. Our analysis further generalizes a previously proposed semi-parametric linear bandit model to non-linear reward functions, and uncovers interesting links to doubly-robust estimation.

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Johannes Kirschner, Andreas Krause. 2021-05-25. Bias-Robust Bayesian Optimization via Dueling Bandits. https://arxiv.org/abs/2105.11802

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