Submodular function minimization and polarity

نویسندگان

چکیده

Using polarity, we give an outer polyhedral approximation for the epigraph of set functions. For a submodular function, prove that corresponding polar relaxation is exact; hence, it equivalent to Lovász extension. The approach provides alternative proof convex hull description function. Computational experiments show inequalities from approximations can be effective as cutting planes solving well non-submodular function minimization problems.

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ژورنال

عنوان ژورنال: Mathematical Programming

سال: 2021

ISSN: ['0025-5610', '1436-4646']

DOI: https://doi.org/10.1007/s10107-020-01607-w