We offer a general Bayes theoretic framework to derive posterior contraction rates under hierarchical prior design: the first-step serves assess model selection uncertainty, and second-step quantifies belief on strength of signals within chosen from first step. In particular, we establish non-asymptotic oracle (i) local Gaussianity condition log likelihood ratio statistical experiment, (ii) ent...

Continuous games are multiplayer in which strategy sets compact and utility functions continuous. These typically have a highly complicated structure of Nash equilibria, numerical methods for the equilibrium computation known only particular classes continuous games, such as two-player polynomial or pure equilibria guaranteed to exist. This contribution focuses on approximation mixed whole clas...

A class of counting problems asks for the number regions a central hyperplane arrangement. By duality, this is same as vertices zonotope. Efficient algorithms are known that solve problem by computing zonotope from its set generators. Here, we give an efficient algorithm, based on linear optimization oracle, performs inverse task and recovers generators vertices. We also provide variation algor...