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New Polyhedral Study of Graph Multi-Separator Problem for Image Segmentation

This paper introduces a polyhedral study of the graph multi-separator problem, proposed as an alternative to the lifted multicut problem for image segmentation. The authors characterize facets of the multi-separator polytope induced by integer linear programming inequalities and explore stronger inequalities. They also establish a totally dual integral description for paths and relate the multi-separator polytope to the boolean quadric polytope and the lifted multicut polytope. AI

IMPACT This research could lead to improved methods for image segmentation by offering a new approach to graph partitioning problems.

RANK_REASON The cluster contains a single academic paper detailing a new polyhedral study of a graph problem. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

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New Polyhedral Study of Graph Multi-Separator Problem for Image Segmentation

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Bjoern Andres, Silvia Di Gregorio, Jannik Irmai, Lucas Fabian Naumann, Shengxian Zhao ·

    The canonical facets of multi-separator polytopes

    arXiv:2608.16861v1 Announce Type: cross Abstract: We initiate a polyhedral study of the graph multi-separator problem proposed by Irmai et al. (2024) as an alternative to the lifted multicut problem for application to the task of image segmentation. Starting with an integer linea…