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math.OC2022★ 2 cited
Multiarmed Bandits Problem Under the Mean-Variance Setting
Hongda Hu, Arthur Charpentier, Mario Ghossoub +1
The classical multi-armed bandit (MAB) problem involves a learner and a collection of K independent arms, each with its own ex ante unknown independent reward distribution. At each…
math.PR2022
Bounds on Choquet Risk Measures in Finite Product Spaces with Ambiguous Marginals
Mario Ghossoub, David Saunders, Kelvin Shuangjian Zhang
We investigate the problem of finding upper and lower bounds for a Choquet risk measure of a nonlinear function of two risk factors, when the marginal distributions of the risk fac…