18 . 657 : Mathematics of Machine Learning

نویسنده

  • Ali Makhdoumi
چکیده

Recall form last lectures that in prediction with expert advise, at each time t, the player plays at ∈ {e1, . . . , ek} and the adversary plays zt such that l(at, zt) ≤ 1 for some loss function. One example of such loss function is linear function l(at, zt) = a T t zt where |zt|∞ ≤ 1. Linear bandits are a more general setting where the player selects an action at ∈ A ⊂ Rk, where A is a convex set and the adversary selects zt ∈ Z such that |zT t at| ≤ 1. Similar to the prediction with expert advise, the regret is defined as

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تاریخ انتشار 2015