Lei Huang – Publication

Preprints

• Lei Huang, Jiawang Nie, Jiajia Wang, Lingling Xie.
  Lagrange Multiplier Expressions for Matrix Polynomial Optimization and Tight Relaxations , arXiv:2506.12579, 2025.

• Lei Huang, Jiawang Nie, Jiajia Wang.
  Optimization over the Weakly Pareto Set and Multi-task Learning , arXiv:2504.00257, 2025.

• Lei Huang, Jiawang Nie, Jiajia Wang.
  Moment-SOS Relaxations for Moment and Tensor Recovery Problems , arXiv:2404.18332, 2024.

Journal Papers

• Lei Huang, Jiawang Nie.
  Finite Convergence of the Moment-SOS Hierarchy for Polynomial Matrix Optimization
  Mathematical Programming Series A, to appear, 2025.

• Lei Huang.
  On the Complexity of Matrix Putinar's Positivstellensatz
  SIAM Journal on Optimization 35(1), 567--591, 2025.

• Lei Huang, Shucheng Kang, Jie Wang and Heng Yang.
  Sparse Polynomial Optimization with Unbounded Sets
  SIAM Journal on Optimization 35(2), 593--621, 2025.

• 黄磊, 聂家旺, 袁亚湘.
  多项式优化简介 , 中国科学：数学, 2024.

• Lei Huang, Jiawang Nie and Ya-Xiang Yuan.
  Finite Convergence of Moment-SOS Relaxations with Non-real Radical Ideals
  SIAM Journal on Optimization 34(4), 3399--3428, 2024.

• Lei Huang, Jiawang Nie and Ya-Xiang Yuan.
  Homogenization for Polynomial Optimization with Unbounded Sets
  Mathematical Programming Series A 200(1), 105--145, 2023.

• Lei Huang, Jiawang Nie and Ya-Xiang Yuan.
  Generalized Truncated Moment Problems with Unbounded Sets
  Journal of Scientific Computing 95, 15, 2023.

• Lei Huang.
  Optimality Conditions for Homogeneous Polynomial Optimization on the Unit Sphere.
  Optimization Letters 17, 1263–1270, 2023.