资源论文No-Regret Algorithms for Unconstrained Online Convex Optimization

No-Regret Algorithms for Unconstrained Online Convex Optimization

2020-01-13 | |  61 |   49 |   0

Abstract

Some of the most compelling applications of online convex optimization, including online prediction and classification, are unconstrained: the natural feasible set is 图片.png Existing algorithms fail to achieve sub-linear regret in this setting unless constraints on the comparator point 图片.png are known in advance. We present algorithms that, without such prior knowledge, offer near-optimal regret bounds with respect to any choice of 图片.png. In particular, regret with respect to 图片.png = 0 is constant. We then prove lower bounds showing that our guarantees are near-optimal in this setting.

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