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Sum-of-squares optimization
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#	Item
1	Least Squares Stephen Boyd EE103 Stanford University November 4, 2015 Add to Reading List Source URL: stanford.edu Language: English - Date: 2015-11-04 13:11:15 Regression analysis Least squares Estimation theory Mathematical optimization Parametric statistics Residual sum of squares Ordinary least squares
2	ANAHESS, A NEW SECOND ORDER SUM OF EXPONENTIALS FIT ALGORITHM, COMPARED TO THE TIKHONOV REGULARIZATION APPROACH, WITH NMR APPLICATIONS Åsmund Ukkelberg 1,, Geir Humborstad Sørland2, Eddy Walter Hansen3, Hege C. Wide Add to Reading List Source URL: arpapress.com Language: English* - Date: 2013-09-21 19:37:13 Regularization Science Least squares Analysis Scientific method Nuclear magnetic resonance Mathematical optimization
3	Towards Scalable Algorithms with Formal Guarantees for Lyapunov Analysis of Control Systems via Algebraic Optimization (Tutorial paper for the 53rd IEEE Conference on Decision and Control) Amir Ali Ahmadi and Pablo A. Pa Add to Reading List Source URL: www.princeton.edu Language: English - Date: 2014-09-21 01:20:26 Stability theory Systems theory Real algebraic geometry Applied mathematics Dynamical systems Lyapunov function Sum-of-squares optimization Semidefinite programming Lyapunov stability Mathematics Mathematical optimization Operations research
4	Finding sparse, equivalent SDPs using linear programming and combinatorial techniques Frank Permenter Abstract— We present a new method for simplifying SDPs that blends aspects of symmetry reduction with sparsity explo Add to Reading List Source URL: www.mit.edu Language: English - Date: 2015-04-01 08:42:57 Mathematical optimization Matrix theory Linear algebra Linear programming Semidefinite programming Sum-of-squares optimization Hadamard product Matrix Rank Algebra Mathematics Operations research
5	16th Canadian Conference on Computational Geometry, 2004 Transformations and Algorithms for Least Sum of Squares Hypersphere Fitting Add to Reading List Source URL: www.cccg.ca Language: English - Date: 2004-08-23 15:27:23 Elementary geometry Mathematical optimization Differential geometry Inversive geometry N-sphere Least squares 3-sphere Stereographic projection Riemann sphere Geometry Spheres Projective geometry
6	LMI TECHNIQUES FOR OPTIMIZATION OVER POLYNOMIALS IN CONTROL: A SURVEY 1 LMI Techniques for Optimization over Polynomials in Control: a Survey Add to Reading List Source URL: www.eee.hku.hk Language: English - Date: 2010-10-13 21:31:32 Polynomials Mathematical optimization Real algebraic geometry Sum-of-squares optimization Polynomial Positive polynomial Linear matrix inequality Homogeneous polynomial Vector space Algebra Mathematics Abstract algebra
7	Basis selection for SOS programs via facial reduction and polyhedral approximations Frank Permenter1 Abstract— We develop a monomial basis selection procedure for sum-of-squares (SOS) programs based on facial reduction Add to Reading List Source URL: www.mit.edu Language: English - Date: 2014-09-20 19:47:55 Homogeneous polynomials Polynomials Monomial basis Monomial Sum-of-squares optimization Positive polynomial Multivariate division algorithm Elementary symmetric polynomial Mathematics Algebra Abstract algebra
8	GloptiPoly 3: moments, optimization and semidefinite programming Didier Henrion1,2 , Jean-Bernard Lasserre1,3 , Johan L¨ofberg4 Version 3.3 of September 23, 2008 Add to Reading List Source URL: homepages.laas.fr Language: English - Date: 2008-09-23 08:16:10 Mathematical optimization Linear programming Real algebraic geometry Semidefinite programming Moment Vector space Homogeneous polynomial Optimization problem Sum-of-squares optimization Algebra Mathematics Operations research
9	Control and Verification of High-Dimensional Systems with DSOS and SDSOS Programming Anirudha Majumdar, Amir Ali Ahmadi, and Russ Tedrake Abstract— In this paper, we consider linear programming (LP) and second order co Add to Reading List Source URL: groups.csail.mit.edu Language: English - Date: 2014-09-20 22:37:52 Operations research Real algebraic geometry Convex optimization Sum-of-squares optimization Second-order cone programming Semidefinite programming Polynomial Linear programming Positive polynomial Mathematical optimization Algebra Mathematics

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