SOS-Convex Semialgebraic Programs and its Applications to Robust Optimization: A Tractable Class of Nonsmooth Convex Optimization

A Unifying Approach to Robust Convex Infinite Optimization Duality

(2017) Nguyen Dinh et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Stability and Genericity for Semi-algebraic Compact Programs

(2016) Gue Myung Lee et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Robust SOS-convex polynomial optimization problems: exact SDP relaxations

(2014) V. Jeyakumar et al.   Optimization Letters

A new class of alternative theorems for SOS-convex inequalities and robust optimization

(2013) V. Jeyakumar et al.   APPLICABLE ANALYSIS

Dual Semidefinite Programs Without Duality Gaps for a Class of Convex Minimax Programs

(2013) V. Jeyakumar et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Robust linear semi-infinite programming duality under uncertainty

(2013) M. A. Goberna et al.   MATHEMATICAL PROGRAMMING

A Complete Characterization of the Gap between Convexity and SOS-Convexity

(2013) Amir Ali Ahmadi et al.   SIAM JOURNAL ON OPTIMIZATION

Exact SDP relaxations for classes of nonlinear semidefinite programming problems

(2012) V. Jeyakumar et al.   OPERATIONS RESEARCH LETTERS

A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty

(2011) V. Jeyakumar et al.   OPERATIONS RESEARCH LETTERS

Theory and Applications of Robust Optimization

(2011) Dimitris Bertsimas et al.   SIAM REVIEW

Robust conjugate duality for convex optimization under uncertainty with application to data classification

(2010) G.Y. Li et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Strong Duality in Robust Convex Programming: Complete Characterizations

(2010) V. Jeyakumar et al.   SIAM JOURNAL ON OPTIMIZATION

Convexity in SemiAlgebraic Geometry and Polynomial Optimization

(2009) Jean B. Lasserre   SIAM JOURNAL ON OPTIMIZATION

Semidefinite representation of convex sets

(2008) J. William Helton et al.   MATHEMATICAL PROGRAMMING