| Optimality conditions and finite convergence of Lasserre’s hierarchy J Nie Mathematical programming 146 (1), 97-121, 2014 | 330 | 2014 |
| Semidefinite representation of convex sets JW Helton, J Nie Mathematical Programming 122 (1), 21-64, 2010 | 258 | 2010 |
| On the complexity of Putinar's Positivstellensatz J Nie, M Schweighofer Journal of Complexity 23 (1), 135-150, 2007 | 226 | 2007 |
| Minimizing polynomials via sum of squares over the gradient ideal J Nie, J Demmel, B Sturmfels Mathematical programming 106 (3), 587-606, 2006 | 208 | 2006 |
| All real eigenvalues of symmetric tensors CF Cui, YH Dai, J Nie SIAM Journal on Matrix Analysis and Applications 35 (4), 1582-1601, 2014 | 177 | 2014 |
| Biquadratic optimization over unit spheres and semidefinite programming relaxations C Ling, J Nie, L Qi, Y Ye SIAM Journal on Optimization 20 (3), 1286-1310, 2010 | 157 | 2010 |
| The algebraic degree of semidefinite programming J Nie, K Ranestad, B Sturmfels Mathematical Programming 122 (2), 379-405, 2010 | 151 | 2010 |
| Sum of squares method for sensor network localization J Nie Computational Optimization and Applications 43 (2), 151-179, 2009 | 147 | 2009 |
| Semidefinite relaxations for best rank-1 tensor approximations J Nie, L Wang SIAM Journal on Matrix Analysis and Applications 35 (3), 1155-1179, 2014 | 140 | 2014 |
| Certifying convergence of Lasserre’s hierarchy via flat truncation J Nie Mathematical Programming 142 (1), 485-510, 2013 | 134 | 2013 |
| Sufficient and necessary conditions for semidefinite representability of convex hulls and sets JW Helton, J Nie SIAM Journal on Optimization 20 (2), 759-791, 2009 | 132 | 2009 |
| The A-Truncated K-Moment Problem J Nie Foundations of Computational Mathematics 14 (6), 1243-1276, 2014 | 118 | 2014 |
| Semidefinite relaxation bounds for indefinite homogeneous quadratic optimization S He, ZQ Luo, J Nie, S Zhang SIAM Journal on Optimization 19 (2), 503-523, 2008 | 113 | 2008 |
| An exact Jacobian SDP relaxation for polynomial optimization J Nie Mathematical Programming 137 (1), 225-255, 2013 | 92 | 2013 |
| Algebraic degree of polynomial optimization J Nie, K Ranestad SIAM Journal on Optimization 20 (1), 485-502, 2009 | 89 | 2009 |
| Semidefinite Representation of the k-Ellipse J Nie, PA Parrilo, B Sturmfels Algorithms in algebraic geometry, 117-132, 2008 | 84 | 2008 |
| Moment and Polynomial Optimization J Nie Society for Industrial and Applied Mathematics, 2023 | 83 | 2023 |
| Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals J Demmel, J Nie, V Powers Journal of pure and applied algebra 209 (1), 189-200, 2007 | 78 | 2007 |
| Positivity of Riesz functionals and solutions of quadratic and quartic moment problems L Fialkow, J Nie Journal of Functional Analysis 258 (1), 328-356, 2010 | 77 | 2010 |
| Generating polynomials and symmetric tensor decompositions J Nie Foundations of Computational Mathematics 17 (2), 423-465, 2017 | 70 | 2017 |
