资源论文Duality and the Continuous Graphical Model

Duality and the Continuous Graphical Model

2020-04-06 | |  62 |   34 |   0

Abstract

Inspired by the Linear Programming based algorithms for discrete MRFs, we show how a corresponding infinite-dimensional dual for continuous-state MRFs can be approximated by a hierarchy of tractable relaxations. This hierarchy of dual programs includes as a spe- cial case the methods of Peng et al. [17] and Zach & Kohli [33]. We give approximation bounds for the tightness of our construction, study their relationship to discrete MRFs and give a generic optimization algorithm based on Nesterov’s dual-smoothing method [16].

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