Discrete Newton's Algorithm for Parametric Submodular Function Minimization

We consider the line search problem in a submodular polyhedron P (f) ⊆ ℝ n : Given an arbitrary a ∈ ℝ n and x 0 ∈ P (f), compute max{δ: x 0 + δa ∈ P (f)}. The use of the discrete Newton's algorithm for this line search problem is very natural, but no strongly polynomial bound on its number of i...

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Bibliographic Details
Main Authors: Goemans, Michel X (Contributor), Gupta, Swati (Contributor), Jaillet, Patrick (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor), Massachusetts Institute of Technology. Department of Mathematics (Contributor), Sloan School of Management (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2018-05-25T13:39:15Z.
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