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The Quadratic Graver Cone, Quadratic Integer Minimization, and Extensions

Published: 2010/05/27
  • Lyubov Romanchuk
  • Shmuel Onn
  • Robert Weismantel
  • Jon Lee
  • Categories (Mixed) Integer Nonlinear Programming Tags graver basis, polynomial integer programming, quadratic integer programming Short URL: https://optimization-online.org/?p=11154

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    IBM Research Report RC24999

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    alternating direction method of multipliers approximation algorithms augmented lagrangian method bilevel optimization Branch-and-Bound branch-and-cut chance constraints column generation combinatorial optimization complexity compressed sensing conic optimization convex optimization cutting planes decomposition derivative-free optimization distributionally robust optimization duality dynamic programming first-order methods global convergence global optimization heuristics integer programming interior point methods large-scale optimization linear programming machine learning mixed-integer linear programming mixed-integer nonlinear programming mixed-integer programming nonconvex optimization nonlinear optimization nonlinear programming nonsmooth optimization optimal control optimization proximal point algorithm quadratic programming robust optimization semidefinite programming stochastic optimization stochastic programming trust-region methods unconstrained optimization

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