Deterministic (1+ε)-approximation algorithm for the volume of the unit hypercube truncated by k sums-of-univariate-convex constraints, running in poly_k(n, 1/ε, L, L_o) time.
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A generic conversion turns offline local search algorithms into online stochastic combinatorial bandit algorithms with O(log^3 T) approximate regret.
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Deterministic Volume Estimation of Truncated Hypercubes
Deterministic (1+ε)-approximation algorithm for the volume of the unit hypercube truncated by k sums-of-univariate-convex constraints, running in poly_k(n, 1/ε, L, L_o) time.
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Offline Local Search for Online Stochastic Bandits
A generic conversion turns offline local search algorithms into online stochastic combinatorial bandit algorithms with O(log^3 T) approximate regret.