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Feb, 2024
抬升多切割凸多面体的切割平面和立方体平面
Cut Facets and Cube Facets of Lifted Multicut Polytopes
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Lucas Fabian Naumann, Jannik Irmai, Shengxian Zhao, Bjoern Andres
TL;DR
对于提升多割问题的规范化面,本文回答了两个基本问题:哪些下界立方不等式定义了面,哪些割不等式定义了面。并且我们证明了对于割不等式的面定义性判定是NP难的。
Abstract
The
lifted multicut problem
has diverse applications in the field of computer vision. Exact algorithms based on
linear programming
require an understanding of
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