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Shenglong Zhou

New RIC Bounds via l_q-minimization with 0

Published: 2013/08/01
  • Lingchen Kong
  • Ziyan Luo
  • Naihua Xiu
  • Shenglong Zhou
  • Categories Combinatorial Optimization, Nonsmooth Optimization Tags bound, compressed sensing, exact recovery, l_q minimization, restricted isometry constant

    The restricted isometry constants (RICs) play an important role in exact recovery theory of sparse signals via l_q(0

    Improved Bounds for RIC in Compressed Sensing

    Published: 2012/09/28, Updated: 2012/10/02
  • Lingchen Kong
  • Naihua Xiu
  • Shenglong Zhou
  • Categories Applications - OR and Management Sciences Tags bound, compressed sensing, exact recovery, l1-minimization, restricted isometry constant

    This paper improves bounds for restricted isometry constant (RIC) in compressed sensing. Let \phi be a m*n real matrix and k be a positive integer with k

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    Keywords

    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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