TP-VR-OPT achieves O(√(d E[S_T])) prediction-adaptive regret in two-point bandit convex optimization, with a matching Ω(√E[S_T]) lower bound up to √d, while single-point feedback cannot benefit from predictions.
Improved regret for zeroth-order adversarial bandit convex optimisation,
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Bandit Convex Optimization with Gradient Prediction Adaptivity
TP-VR-OPT achieves O(√(d E[S_T])) prediction-adaptive regret in two-point bandit convex optimization, with a matching Ω(√E[S_T]) lower bound up to √d, while single-point feedback cannot benefit from predictions.