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Interpretable nonconvex submodule clustering algorithm using ℓr-induced tensor nuclear norm and ℓ2,p column sparse norm with global convergence guarantees. [PDF]
Yang M, Han S, Chen L, Wang J.
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The cyclic flats of a q-matroid. [PDF]
Alfarano GN, Byrne E.
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Submodular function minimization and polarity [PDF]
Using polarity, we give an outer polyhedral approximation for the epigraph of set functions. For a submodular function, we prove that the corresponding polar relaxation is exact; hence, it is equivalent to the Lovász extension. The polar approach provides an alternative proof for the convex hull description of the epigraph of a submodular function ...
Alper Atamtürk +2 more
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Submodular function minimization
Mathematical Programming, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Satoru Iwata, Iwata Satoru
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Submodular Functions and Rooted Trees
Theory of Computing Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yaokun Wu, Yinfeng Zhu 0001
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Decomposition of submodular functions
Combinatorica, 1983A decomposition theory for submodular functions is described. Any such function is shown to have a unique decomposition consisting of indecomposable functions and certain highly decomposable functions, and the latter are completely characterized. Applications include decompositions of hypergraphs based on edge and vertex connectivity, the decomposition
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On submodular function minimization
Combinatorica, 1985zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the subdifferential of a submodular function
Mathematical Programming, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Submodular functions and convexity
1983In “continuous” optimization convex functions play a central role. Besides elementary tools like differentiation, various methods for finding the minimum of a convex function constitute the main body of nonlinear optimization. But even linear programming may be viewed as the optimization of very special (linear) objective functions over very special ...
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