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Sum-of-squares optimization

Known as: Lasserre hierarchy, Sum of squares hierarchy, Sum of squares optimization 
A sum-of-squares optimization program is an optimization problem with a linear cost function and a particular type of constraint on the decision… 
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Related topics

Related topics

8 relations
Control engineeringDuality (optimization)Least squaresList of numerical analysis topics

Broader (1)

Mathematical optimization

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
A Sum of Squares Optimization Approach to Uncertainty Quantification
This paper proposes a Sum of Squares (SOS) optimization technique for using multivariate data to estimate the probability density… 
2016
2016
Certifying Random Polynomials over the Unit Sphere via Sum of Squares Hierarchy
Given a random n-variate degree-d homogeneous polynomial f , we study the following problem: 
2015
2015
Nonlinear missile autopilot design using a density function-based sum-of-squares optimization approach
This paper presents a procedure of a Sum-Of-Squares (SOS) based autopilot design for a Skid-To-Turn (STT) missile. In particular… 
2014
2014
Stochastic Reachability of Jump-Diffusion Process Using Sum Of Squares Optimization
This note uses sum of squares (SOS) relaxation to solve stochastic reachability problems for jump-diffusion processes. The main… 
2012
2012
Constant Factor Lasserre Integrality Gaps for Graph Partitioning Problems
Partitioning the vertices of a graph into two roughly equal parts while minimizing the number of edges crossing the cut is a… 
2011
2011
Biological circuit models of immune regulatory response: A decentralized control system
The purpose of this paper is to present a model of immune control based on recently discovered regulatory properties of the… 
2008
2008
Problème d'expression: L'Alternance codique et ses retombées sur l'identité individuelle et collective - Étude d'un corpus littéraire franco-ontarien et acadien
2007
2007
Multidimensional FIR Filter Design Via Trigonometric Sum-of-Squares Optimization
We discuss a method for multidimensional FIR filter design via sum-of-squares formulations of spectral mask constraints. The sum… 
2007
2007
Low Rank Decompositions for Sum of Squares Optimization by Jia
In this thesis, we investigate theoretical and numerical advantages of a novel representation for Sum of Squares (SOS… 
1980
1980
Archiloque et le vin d'Ismaros (Fr. 2 Diehl= 2 West = 7 Lasserre-Bonnard)
La majorite des traductions, jusque dans les editions recentes perpetue une image du poete, mal justifiee, qui occulte son art de… 
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