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Global Optimization of Polynomials Using Gradient Tentacles and Sums of Squares JOURNAL ARTICLE published January 2006 in SIAM Journal on Optimization |
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Global Optimization of Polynomials Using the Truncated Tangency Variety and Sums of Squares JOURNAL ARTICLE published January 2008 in SIAM Journal on Optimization |
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Convexifying Positive Polynomials and Sums of Squares Approximation JOURNAL ARTICLE published January 2015 in SIAM Journal on Optimization |
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Optimization of Polynomials on Compact Semialgebraic Sets JOURNAL ARTICLE published January 2005 in SIAM Journal on Optimization |
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Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity JOURNAL ARTICLE published January 2006 in SIAM Journal on Optimization |
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A Sum of Squares Approximation of Nonnegative Polynomials JOURNAL ARTICLE published January 2006 in SIAM Journal on Optimization |
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Discrete Transforms, Semidefinite Programming, and Sum-of-Squares Representations of Nonnegative Polynomials JOURNAL ARTICLE published January 2006 in SIAM Journal on Optimization |
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Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients JOURNAL ARTICLE published 31 March 2023 in SIAM Journal on Optimization Research funded by H2020 Marie Skłodowska-Curie Actions (813211 (POEMA)) |
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Generalized Lagrangian Duals and Sums of Squares Relaxations of Sparse Polynomial Optimization Problems JOURNAL ARTICLE published January 2005 in SIAM Journal on Optimization |
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Exponential Convergence of Sum-of-Squares Hierarchies for Trigonometric Polynomials JOURNAL ARTICLE published 30 September 2023 in SIAM Journal on Optimization Research funded by Agence Nationale de la Recherche (ANR-19-P3IA0001) | European Research Council (SEQUOIA 724063,REAL 947908) |
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Sum of Squares Approximation of Polynomials, Nonnegative on a Real Algebraic Set JOURNAL ARTICLE published January 2005 in SIAM Journal on Optimization |
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On the Solution of the Tikhonov Regularization of the Total Least Squares Problem JOURNAL ARTICLE published January 2006 in SIAM Journal on Optimization |
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Global Optimization with Polynomials and the Problem of Moments JOURNAL ARTICLE published January 2001 in SIAM Journal on Optimization |
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Finding Optimal Algorithmic Parameters Using Derivative‐Free Optimization JOURNAL ARTICLE published January 2006 in SIAM Journal on Optimization |
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Second Order Conditions to Decompose Smooth Functions as Sums of Squares JOURNAL ARTICLE published 31 March 2024 in SIAM Journal on Optimization Research funded by Agence Nationale de la Recherche (ANR-19-P3IA-0001) | European Research Council (724063,947908) |
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A New Class of Incremental Gradient Methods for Least Squares Problems JOURNAL ARTICLE published November 1997 in SIAM Journal on Optimization |
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Global Hölderian Error Bound for Nondegenerate Polynomials JOURNAL ARTICLE published January 2013 in SIAM Journal on Optimization |
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Pure states, nonnegative polynomials and sums of squares JOURNAL ARTICLE published 16 January 2012 in Commentarii Mathematici Helvetici |
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A Proximal-Gradient Homotopy Method for the Sparse Least-Squares Problem JOURNAL ARTICLE published January 2013 in SIAM Journal on Optimization |
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Global optimization of polynomials using generalized critical values and sums of squares PROCEEDINGS ARTICLE published 25 July 2010 in Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation Research funded by National Natural Science Foundation of China (NSFC 60911130369,NSFC60821002/F0210871194) | Agence Nationale de la Recherche (ANR-09-BLAN-0371-01) |