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Regret-Based $(\epsilon,\delta)$-optimal Stopping Criteria for Bayesian Optimization

NeurIPS 2026 · Probabilistic and scientific modeling › Bayesian optimization · approach: Regret bounds for Bayesian optimization

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Proposes regret-based (epsilon, delta)-optimal stopping criteria for Gaussian process Bayesian optimization, aiming to stop with a provable optimality guarantee on solution quality.

Problem

Standard Bayesian optimization stops after a fixed evaluation budget, wasting cost and giving no guarantee on solution quality; existing practical stopping criteria lack theoretical grounding.

Approach

Frames stopping as an (epsilon, delta)-optimality requirement on regret of GP-based BO, deriving a stopping rule with a theoretical guarantee rather than purely empirical heuristics.

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