Huang, Meng

Associate Professor, Beihang University, Beijing, China E-mail: menghuang@buaa.edu.cn

About me

I received my B.S. degree from Chongqing University in 2014 and my Ph.D. degree from the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, in 2019. My main research interests include phase retrieval, compressed sensing, generative diffusion models, data science, blind deconvolution, and matrix completion.

Research

My research interests include:

• Phase Retrieval

• Low-rank Matrix Recovery

• Generative Diffusion Models

• Data Science

Under review

1. Z. Li and M. Huang*, "Scaled Gradient Descent for Ill-Conditioned Low-Rank Matrix Recovery with Optimal Sampling Complexity".

2. H. Peng, D. Han, X. Chen, and M. Huang, "NS-RGS: Newton-Schulz based Riemannian gradient method for orthogonal group synchronization".

3. H. Peng, D. Han, and M. Huang*, "The Condition Number in Phase Retrieval from Intensity Measurements".

4. L. Li, H. Peng, Y. Xia, and M. Huang*, "Convergence Analysis of Reshaped Wirtinger Flow with Random Initialization for Phase Retrieval".

5. J. Wen, Y. Hu, and M. Huang*, "Sparse Signal Recovery From Quadratic Systems with Full-Rank Matrices".

6. M. Huang and S. Li*, "Performance analysis of tail-minimization and the linear rate of convergence of a proximal algorithm for sparse signal recovery".

7. H. Peng, D. Han, L. Li, and M. Huang*, "Noisy phase retrieval from subgaussian measurements".

Recent publications

1. M. Huang, J. Wen*, and R. Zhang, "Recovery Performance of PhaseLift for Phase Retrieval from Coded Diffraction Patterns", to appear in Inverse Problems, 2026.

2. M. Huang*, "Near-quadratic convergence of the Gauss-Newton method for complex phase retrieval".IEEE Transactions on Information Theory, vol. 72, no. 1, pp. 222-245, 2025.

3. M. Huang and Z. Xu*, "No existence of a linear algorithm for the one-dimensional Fourier phase retrieval".Journal of Complexity, 101886,2025.

4. M. Huang* and Z. Xu, "Strong convexity of affine phase retrieval". IEEE Transactions on Signal Processing, vol. 72, pp. 1301-1315, 2024.

5. M. Huang and Z. Xu*, "Uniqueness and stability for the solution of a nonlinear least squares problem".Mathematics of Computation., vol.93, no.347, pp.1247-1264, 2024.

6. M. Huang* and Z. Xu, "Performance bound of the intensity-based estimators for noisy phase retrieval", Applied and Computational Harmonic Analysis, vol.68, 2024.

7. M. Huang*, S. Sun, and Z. Xu, "Affine phase retrieval for sparse signals via l1 minimization", Journal of Fourier Analysis and Applications, vol.29, no. 3, 2023.

8. J. F. Cai, M. Huang*, D. Li, and Y. Wang, "Nearly optimal bounds for the global geometric landscape of phase retrieval", Inverse Problem, vol. 39, no. 7, 075011, 2023.

9. J. F. Cai, M. Huang*, D. Li, and Y. Wang, "Solving phase retrieval with random initial guess is nearly as good as by spectral initialization", Applied and Computational Harmonic Analysis, vol. 58, pp. 60-84, 2022. [pdf]

10. M. Huang* and Y. Wang, "Linear convergence of randomized Kaczmarz method for solving complex-valued phaseless equations", SIAM Journal on Imaging Sciences, vol. 15, no.2, pp. 989-1016, 2022. [pdf]

11. J. F. Cai, M. Huang, D. Li*, and Y. Wang, "The global landscape of phase retrieval II: quotient intensity models", Ann. Appl. Math., 38(1), pp. 62-114, 2021. [pdf]

12. J. F. Cai, M. Huang, D. Li*, and Y. Wang, "The global landscape of phase retrieval I: perturbed amplitude models", Ann. Appl. Math., 37(4), pp. 437-512, 2021. [pdf]

13. M. Huang, Y. Rong, Y. Wang, and Z. Xu*, "Almost everywhere generalized phase retrieval", Applied and Computational Harmonic Analysis, vol. 50, pp. 16-33, 2021. [pdf]

14. M. Huang* and Z. Xu, "Phase retrieval from the norms of affine transformations", Advances in Applied Mathematics, vol. 130, 102243, 2021. [pdf]

15. M. Huang, M. J. Lai*, A. Varghese, and Z. Xu, "On DC based methods for phase retrieval", Approximation Theory XVI: Nashville, pp. 87-121, 2021. [pdf]

16. M. Huang and Z. Xu*, "The estimation performance of nonlinear least squares for phase retrieval", IEEE Transactions on Information Theory, 66(12), pp. 7967-7977, 2020.[pdf]

17. M. Huang and Z. Xu*, "Solving systems of quadratic equations via exponential-type gradient descent algorithm", Journal of Computational Mathematics, 38(4), pp. 638-660, 2019. [pdf]

18. M. Huang, Y. Pang, and Z. Xu*, "Improved bounds for the RIP of Subsampled Circulant Matrices", Sampling Theory in Signal and Image Processing, vol. 18, pp. 1-8, 2018. [pdf]