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 ite...

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Bibliographic Details
Main Authors: Goemans, Michel X, Gupta, Swati, Jaillet, Patrick
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Published: Springer-Verlag 2018
Online Access:http://hdl.handle.net/1721.1/115886
https://orcid.org/0000-0002-0520-1165
https://orcid.org/0000-0003-2305-2949
https://orcid.org/0000-0002-8585-6566