Jiawang Nie

发表

Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations

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

Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals

V. Powers, Jiawang Nie, J. Demmel, 2007 .

Semidefinite Relaxations for Best Rank-1 Tensor Approximations

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

Sum of squares methods for minimizing polynomial forms over spheres and hypersurfaces

Jiawang Nie, 2012 .

Semidefinite Representation of the k-Ellipse

P. Parrilo, B. Sturmfels, Jiawang Nie, 2007, math/0702005.

Regularization Methods for Sum of Squares Relaxations in Large Scale Polynomial Optimization

Jiawang Nie, 2009 .

On the complexity of Putinar's Positivstellensatz

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

Nearly Low Rank Tensors and Their Approximations

Jiawang Nie, 2014, 1412.7270.

Local Versus Global Conditions in Polynomial Optimization

Jiawang Nie, 2015, 1505.00233.

Semidefinite Representation of Convex Sets and Convex Hulls

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

The Application of Symmetric Tensor Decomposition to Parameter Estimation of Latent Variable Models

Advisor, Jiawang Nie, Longde Wang, 2019 .

The Saddle Point Problem of Polynomials

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

Solving partial differential equations via sparse SDP relaxations

M. Kojima, Jiawang Nie, N. Takayama, 2007 .

Fe b 20 05 Minimizing Polynomials Over Semialgebraic Sets ∗

J. Demmel, V. Powers, Jiawang Nie, 2005 .

REPRESENTATION OF NON-NEGATIVE POLYNOMIALS VIA THE KKT IDEALS

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

Optimality conditions and finite convergence of Lasserre’s hierarchy

Jiawang Nie, 2012, Mathematical Programming.

Loss Functions for Finite Sets

Jiawang Nie, Suhan Zhong, 2021, 2112.05927.

Free semidefinite representation of matrix power functions

J. Helton, Jiawang Nie, Jeremy S. Semko, 2013, 1305.4289.

The split feasibility problem with polynomials

Jiawang Nie, Jinling Zhao, 2017, SCIENTIA SINICA Mathematica.

Low Rank Tensor Decompositions and Approximations

Jiawang Nie, L. xilinx Wang, Zequn Zheng, 2022, Journal of the Operations Research Society of China.

Algebraic Degrees of Generalized Nash Equilibrium Problems

Jiawang Nie, K. Ranestad, Xindong Tang, 2022, 2208.00357.

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

J. Demmel, Jiawang Nie, 2006, SIAM J. Optim..

Semidefinite Representation of the k-Ellipse

P. Parrilo, B. Sturmfels, Jiawang Nie, 2007, math/0702005.

The algebraic degree of semidefinite programming

B. Sturmfels, Jiawang Nie, K. Ranestad, 2006, Math. Program..

Semidefinite Relaxation Bounds for Indefinite Homogeneous Quadratic Optimization

Z. Luo, Shuzhong Zhang, Jiawang Nie, 2007, SIAM J. Optim..

Convex Hulls of Quadratically Parameterized Sets With Quadratic Constraints

Jiawang Nie, 2011, 1110.2526.

Loss functions for finite sets

Jiawang Nie, Suhan Zhong, 2021, Computational Optimization and Applications.

Tensor eigenvalue complementarity problems

Jiawang Nie, Jinyan Fan, Jinyan Fan, 2017, Mathematical Programming.

Generating Polynomials and Symmetric Tensor Decompositions

Jiawang Nie, 2015, Foundations of Computational Mathematics.

Linear optimization with cones of moments and nonnegative polynomials

Jiawang Nie, 2014, Mathematical Programming.

Distributionally Robust Optimization with Moment Ambiguity Sets

Jiawang Nie, Guangming Zhou, Suhan Zhong, 2021, Journal of Scientific Computing.

Sum of squares methods for minimizing polynomial forms over spheres and hypersurfaces

Jiawang Nie, 2012, Frontiers of Mathematics in China.

An exact Jacobian SDP relaxation for polynomial optimization

Jiawang Nie, 2011, Mathematical Programming.

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

Jiawang Nie, 2010, Mathematical Programming.

Homogenization for polynomial optimization with unbounded sets

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

Generalized truncated moment problems with unbounded sets

Ya-Xiang Yuan, Jiawang Nie, Lei Huang, 2022, ArXiv.

Tight relaxations for polynomial optimization and Lagrange multiplier expressions

Jiawang Nie, 2018, Mathematical Programming.

The hierarchy of local minimums in polynomial optimization

Jiawang Nie, 2014, Mathematical Programming.

Certifying convergence of Lasserre’s hierarchy via flat truncation

Jiawang Nie, 2012, Mathematical Programming.

Optimality conditions and finite convergence of Lasserre’s hierarchy

Jiawang Nie, 2013, Mathematical Programming.

Dehomogenization for completely positive tensors

Jiawang Nie, Zi Yang, Suhan Zhong, 2022, Numerical Algebra, Control and Optimization.

Minimizing Polynomials Over Semialgebraic Sets

J. Demmel, V. Powers, Jiawang Nie, 2005, math/0502391.

A Semidefinite Approach for Truncated K-Moment Problems

J. Helton, Jiawang Nie, J. Helton, 2011, Found. Comput. Math..

Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions pdf

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

Completely Positive Binary Tensors

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

The A-Truncated K -Moment Problem

Jiawang Nie, Jiawang Nie, 2012 .

A Semidefinite Approach for Truncated K-Moment Problems

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

The truncated moment problem via homogenization and flat extensions

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

Separability of Hermitian tensors and PSD decompositions

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

Hermitian Tensor Decompositions

Jiawang Nie, Zi Yang, 2019, SIAM J. Matrix Anal. Appl..

Efficient Evaluation of Noncommutative Polynomials Using Tensor and Noncommutative Waring Decompositions

J. Helton, Jiawang Nie, Eric Evert, 2019, Numerical Functional Analysis and Optimization.

Hankel Tensor Decompositions and Ranks

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

PLMEs and Disjunctive Decompositions for Bilevel Optimization

Jiawang Nie, J. Ye, Suhan Zhong, 2023, 2304.00695.

A Lagrange Multiplier Expression Method for Bilevel Polynomial Optimization

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

Bilevel Polynomial Programs and Semidefinite Relaxation Methods

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

Global Optimization of Polynomial Functions and Applications

Jiawang Nie, Jiawang Nie, 2006 .

Sum of squares method for sensor network localization

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

Global minimization of rational functions and the nearest GCDs

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

Low Rank Symmetric Tensor Approximations

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

Regularization Methods for SDP Relaxations in Large-Scale Polynomial Optimization

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

The Saddle Point Problem of Polynomials

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

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

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

Nash Equilibrium Problems of Polynomials

Jiawang Nie, Xindong Tang, 2020, Mathematics of Operations Research.

All Real Eigenvalues of Symmetric Tensors

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

Minimizing Polynomials via Sum of Squares over the Gradient Ideal

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

Discriminants and nonnegative polynomials

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

Polynomial Matrix Inequality and Semidefinite Representation

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

Approximate GCDs of polynomials and sparse SOS relaxations

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

Positive Maps and Separable Matrices

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

Semidefinite representation of convex sets

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

Solving partial differential equations via sparse SDP relaxations

M. Kojima, Jiawang Nie, N. Takayama, 2007 .

On the complexity of Putinar's Positivstellensatz

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

The Multi-Objective Polynomial Optimization

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

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

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

Algebraic Degree of Polynomial Optimization

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

Polynomial Optimization with Real Varieties

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

Optimality conditions and finite convergence of Lasserre’s hierarchy

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

Symmetric Tensor Decompositions On Varieties pdf

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

An exact Jacobian SDP relaxation for polynomial optimization

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

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

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

A Complete Semidefinite Algorithm for Detecting Copositive Matrices and Tensors

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

The hierarchy of local minimums in polynomial optimization

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

Stochastic polynomial optimization

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

Symmetric Tensor Nuclear Norms

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

Linear optimization with cones of moments and nonnegative polynomials

Jiawang Nie, Jiawang Nie, 2013, 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..

Polynomial Matrix Inequality and Semidefinite Representation

Jiawang Nie, 2011 .

Certifying convergence of Lasserre’s hierarchy via flat truncation

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

Matrix Cubes Parametrized by Eigenvalues

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

Structured semidefinite representation of some convex sets

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

Distributionally Robust Optimization with Polynomial Robust Constraints

Jiawang Nie, Suhan Zhong, 2023, 2308.15591.

ON THE CLOSURE OF POSITIVE FLAT MOMENT MATRICES

Jiawang Nie, L. Fialkow, 2013 .

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

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

Tight relaxations for polynomial optimization and Lagrange multiplier expressions

Jiawang Nie, Jiawang Nie, 2017, Mathematical Programming.

Tensor eigenvalue complementarity problems

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

Real eigenvalues of nonsymmetric tensors

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

Generating Polynomials and Symmetric Tensor Decompositions

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

Matrix Cubes Parameterized by Eigenvalues

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

Rational Generalized Nash Equilibrium Problems

Jiawang Nie, Suhan Zhong, Xindong Tang, 2021, SIAM J. Optim..

Convex generalized Nash equilibrium problems and polynomial optimization

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

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

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

A Predictor–Corrector Algorithm for QSDP Combining Dikin-Type and Newton Centering Steps

Ya-Xiang Yuan, Jia-Wang Nie, Jiawang Nie, 2001, Ann. Oper. Res..

Higher Order Correlation Analysis for Multi-View Learning

Jiawang Nie, Li Wang, Zequn Zheng, 2022, ArXiv.

Polynomial Optimization Relaxations for Generalized Semi-Infinite Programs

Jiawang Nie, Xiaomeng Hu, 2023, 2303.14308.