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Huang, Meng

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

About me

I received the B.S. degree from the Chongqing University, in 2014, and the Ph.D. degree from Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, in 2019. My main research interests include phase retrieval, compressed sensing, data science, and matrix dicrepancy such as Spencer conjecture and Komlos conjecture.

Research

My research interests include:

  • Phase Retrieval

  • Matrix Discrepancy

  • Data Science

Under review

  1. M. Huang and Z. Xu*, "No existence of linear algorithm for Fourier phase retrieval".

Recent publications

  1. M. Huang* and Z. Xu, "Strong convexity of affine phase retrieval". to appear in IEEE Ttransactions on Signal Processing.

  2. 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.

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

  4. 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.

  5. 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.

  6. 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]

  7. 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]

  8. 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]

  9. 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]

  10. 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]

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

  12. 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]

  13. 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]

  14. 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]

  15. 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]

Note: * indicates the corresponding author.

Full list of publications in Google Scholar.

Projects

    National Natural Youth Science Foundation of China，Theory and algorithms for phase retrieval with random initialization, 2023-2025.

    Teaching

      数值逼近. [讲义]