A new hierarchy, t-sos submodularity, provides polynomial-time checkable sufficient conditions for submodularity and, at high t, an exact characterization.
DC decomposition of nonconvex polynomials with algebraic techniques
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Sum of Squares Submodularity
A new hierarchy, t-sos submodularity, provides polynomial-time checkable sufficient conditions for submodularity and, at high t, an exact characterization.