Jiawang Nie

发表

Tensor eigenvalue complementarity problems

Jinyan Fan, Jiawang Nie, Anwa Zhou, 2016, Math. Program..

Structured semidefinite representation of some convex sets

J. William Helton, Jiawang Nie, J. Helton, 2008, 2008 47th IEEE Conference on Decision and Control.

Symmetric Tensor Decompositions On Varieties pdf

Lihong Zhi, Jiawang Nie, Ke Ye, 2020, ArXiv.

A Semidefinite Approach for Truncated K-Moment Problems

J. William Helton, Jiawang Nie, J. Helton, 2012, Foundations of Computational Mathematics.

Tight relaxations for polynomial optimization and Lagrange multiplier expressions

Jiawang Nie, Jiawang Nie, 2017, Mathematical Programming.

Approximate GCDs of polynomials and SOS relaxation

Bin Li, Lihong Zhi, Jiawang Nie, 2007, SNC '07.

Semidefinite Relaxations for Best Rank-1 Tensor Approximations

Li Wang, Jiawang Nie, Jiawang Nie, 2013, SIAM J. Matrix Anal. Appl..

Polynomial Optimization with Real Varieties

Jiawang Nie, Jiawang Nie, 2012, SIAM J. Optim..

Symmetric Tensor Nuclear Norms

Jiawang Nie, Jiawang Nie, 2016, SIAM J. Appl. Algebra Geom..

Semidefinite Relaxation Bounds for Indefinite Homogeneous Quadratic Optimization

Zhi-Quan Luo, Shuzhong Zhang, Simai He, 2008, SIAM J. Optim..

Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations

Chen Ling, Yinyu Ye, Liqun Qi, 2009, SIAM J. Optim..

Preface to the special issue on optimization with polynomials and tensors

Jiawang Nie, 2020, Comput. Optim. Appl..

All Real Eigenvalues of Symmetric Tensors

Jiawang Nie, Yu-Hong Dai, Chun-Feng Cui, 2014, SIAM J. Matrix Anal. Appl..

Polynomial Matrix Inequality and Semidefinite Representation

Jiawang Nie, Jiawang Nie, 2009, Math. Oper. Res..

Linear optimization with cones of moments and nonnegative polynomials

Jiawang Nie, Jiawang Nie, 2013, Math. Program..

Semidefinite representation of convex sets

J. William Helton, Jiawang Nie, J. Helton, 2007, Math. Program..

Hermitian Tensor Decompositions pdf

Jiawang Nie, Zi Yang, 2020, SIAM J. Matrix Anal. Appl..

Minimizing Polynomials via Sum of Squares over the Gradient Ideal

James Demmel, Bernd Sturmfels, Jiawang Nie, 2004, Math. Program..

Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets

J. William Helton, Jiawang Nie, J. Helton, 2007, SIAM J. Optim..

Certifying convergence of Lasserre’s hierarchy via flat truncation

Jiawang Nie, Jiawang Nie, 2011, Math. Program..

Generating Polynomials and Symmetric Tensor Decompositions

Jiawang Nie, Jiawang Nie, 2014, Foundations of Computational Mathematics.

Regularization Methods for SDP Relaxations in Large-Scale Polynomial Optimization

Li Wang, Jiawang Nie, Jiawang Nie, 2009, SIAM J. Optim..

Completely Positive Binary Tensors

Jinyan Fan, Jiawang Nie, Anwa Zhou, 2018, Math. Oper. Res..

Approximate GCDs of polynomials and sparse SOS relaxations

Bin Li, Lihong Zhi, Jiawang Nie, 2008, Theor. Comput. Sci..

Stochastic polynomial optimization

Liu Yang, Jiawang Nie, Suhan Zhong, 2019, Optim. Methods Softw..

The algebraic degree of semidefinite programming

Bernd Sturmfels, Jiawang Nie, Kristian Ranestad, 2010, Math. Program..

A Complete Semidefinite Algorithm for Detecting Copositive Matrices and Tensors

Xinzhen Zhang, Zi Yang, Jiawang Nie, 2017, SIAM J. Optim..

Matrix Cubes Parameterized by Eigenvalues

Bernd Sturmfels, Jiawang Nie, B. Sturmfels, 2009, SIAM J. Matrix Anal. Appl..

Optimality conditions and finite convergence of Lasserre’s hierarchy

Jiawang Nie, Jiawang Nie, 2012, Math. Program..

Positive Maps and Separable Matrices

Xinzhen Zhang, Jiawang Nie, Xinzhen Zhang, 2015, SIAM J. Optim..

The hierarchy of local minimums in polynomial optimization

Jiawang Nie, Jiawang Nie, 2013, Math. Program..

Low Rank Symmetric Tensor Approximations

Jiawang Nie, Jiawang Nie, 2017, SIAM J. Matrix Anal. Appl..

Discriminants and nonnegative polynomials

Jiawang Nie, Jiawang Nie, 2010, J. Symb. Comput..

Minimum Ellipsoid Bounds for Solutions of Polynomial Systems via Sum of Squares

James Demmel, Jiawang Nie, J. Demmel, 2004, J. Glob. Optim..

Preface

Xin Liu, Jiawang Nie, Yu-Hong Dai, 2020, Optim. Methods Softw..

The $${\mathcal {A}}$$A-Truncated $$K$$K-Moment Problem

Jiawang Nie, Jiawang Nie, 2012, Found. Comput. Math..

Global minimization of rational functions and the nearest GCDs

James Demmel, Jiawang Nie, Ming Gu, 2006, J. Glob. Optim..

Bilevel Polynomial Programs and Semidefinite Relaxation Methods

Li Wang, Jane J. Ye, Jiawang Nie, 2015, SIAM J. Optim..

Hankel Tensor Decompositions and Ranks

Jiawang Nie, Ke Ye, Jiawang Nie, 2017, SIAM J. Matrix Anal. Appl..

Real eigenvalues of nonsymmetric tensors

Xinzhen Zhang, Jiawang Nie, Xinzhen Zhang, 2015, Computational Optimization and Applications.

On the complexity of Putinar's Positivstellensatz

Markus Schweighofer, Jiawang Nie, Jiawang Nie, 2005, J. Complex..

First order conditions for semidefinite representations of convex sets defined by rational or singular polynomials

Jiawang Nie, Jiawang Nie, 2008, Math. Program..

An exact Jacobian SDP relaxation for polynomial optimization

Jiawang Nie, Jiawang Nie, 2010, Math. Program..

The maximum tensor complementarity eigenvalues

Jinyan Fan, Ruixue Zhao, Jiawang Nie, 2020, Optim. Methods Softw..

Sum of squares method for sensor network localization

Jiawang Nie, Jiawang Nie, 2006, Comput. Optim. Appl..

Algebraic Degree of Polynomial Optimization

Jiawang Nie, Kristian Ranestad, Jiawang Nie, 2008, SIAM J. Optim..

A Matrix Positivstellensatz with Lifting Polynomials

Igor Klep, Jiawang Nie, 2020, SIAM J. Optim..

Sparse SOS Relaxations for Minimizing Functions that are Summations of Small Polynomials

James Demmel, Jiawang Nie, 2008, SIAM J. Optim..

Homogenization for polynomial optimization with unbounded sets

Jiawang Nie, Lei Huang, Ya-Xiang Yuan, 2021 .

Rational Generalized Nash Equilibrium Problems

Xindong Tang, Jiawang Nie, Suhan Zhong, 2021 .

Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions pdf

Jiawang Nie, Bingni Guo, Zi Yang, 2021, Vietnam Journal of Mathematics.

The Multi-Objective Polynomial Optimization

Jiawang Nie, Zi Yang, Jiawang Nie, 2021, 2108.04336.

Convex generalized Nash equilibrium problems and polynomial optimization

Xindong Tang, Jiawang Nie, Jiawang Nie, 2021, Mathematical Programming.

The Gauss–Seidel method for generalized Nash equilibrium problems of polynomials

Xindong Tang, Lingling Xu, Jiawang Nie, 2020, Computational Optimization and Applications.

Separability of Hermitian tensors and PSD decompositions

Jiawang Nie, Mareike Dressler, Zi Yang, 2020, Linear and Multilinear Algebra.

Distributionally Robust Optimization with Moment Ambiguity Sets

Jiawang Nie, Guangming Zhou, Suhan Zhong, 2021 .

A Lagrange Multiplier Expression Method for Bilevel Polynomial Optimization

Li Wang, Jiawang Nie, Suhan Zhong, 2020, SIAM J. Optim..

The Saddle Point Problem of Polynomials

Jiawang Nie, Guangming Zhou, Zi Yang, 2018, Foundations of Computational Mathematics.

Loss Functions for Finite Sets

Jiawang Nie, Suhan Zhong, 2021 .

The A-Truncated K -Moment Problem

Jiawang Nie, Jiawang Nie, 2012 .

REPRESENTATION OF NON-NEGATIVE POLYNOMIALS VIA THE KKT IDEALS

James Demmel, Jiawang Nie, Dang Tuan Hiep, 2010 .

Global Optimization of Polynomial Functions and Applications

Jiawang Nie, Jiawang Nie, 2006 .

The truncated moment problem via homogenization and flat extensions

Jiawang Nie, Jiawang Nie, L. Fialkow, 2012 .

An Approximation Bound Analysis for Lasserre’s Relaxation in Multivariate Polynomial Optimization

Jiawang Nie, 2013 .

Positivity of Riesz Functionals and Solutions of Quadratic and Quartic Moment Problems

Jiawang Nie, Jiawang Nie, L. Fialkow, 2009, 0908.3230.

Minimizing Polynomials Over Semialgebraic Sets

Jiawang Nie, James W. Demmel, Victoria Powers, 2005 .

Shape Optimization of Transfer Functions

Jiawang Nie, James W. Demmel, 2006 .

A potential reduction algorithm for an extended SDP problem

Jiawang Nie, Yaxiang Yuan, 2000 .

On the complexity of Putinar's Positivstellensatz

Markus Schweighofer, Jiawang Nie, Jiawang Nie, 2005, 0812.2657.

Semidefnite Relaxation Bounds for Indefinite Homogeneous

Zhi-Quan Luo, Simai He, Shuzhong Zhang, 2008 .

Semidefinite Representation of Convex Sets and Convex Hulls

J. William Helton, Jiawang Nie, J. Helton, 2012 .

Matrix Cubes Parametrized by Eigenvalues

Bernd Sturmfels, Jiawang Nie, B. Sturmfels, 2008, 0804.4462.

AN ELEMENTARY AND CONSTRUCTIVE SOLUTION TO HILBERT'S 17TH PROBLEM FOR MATRICES

Christopher J. Hillar, Jiawang Nie, 2006 .