Shixu Meng

Applied Mathematics, Inverse Problem, Machine Learning, Data Science

Apply complex data to address interdisciplinary challenges spanning science, engineering, and technology

Recent Papers

Kernel machine learning for inverse source and scattering problems, preprint (with B. Zhang)
Shape and parameter identification by the linear sampling method for a restricted Fourier integral operator, preprint (with L. Audibert)
Data-driven Basis for Reconstructing the Contrast in Inverse Scattering: Picard Criterion, Regularity, Regularization, and Stability, SIAM J. Appl. Math. 83. (5), 2003-2026 (2023)
Single Mode Multi-frequency Factorization Method for the Inverse Source Problem in Acoustic Waveguides, SIAM J. Appl. Math. 83. (2), 394-417 (2023)
Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data, Journal of Computational Mathematics 469, 111550 (2022) (with F.Dou, X. Liu, and B. Zhang)
Asymptotic anatomy of the Berry phase for scalar waves in 2D periodic continua, Proceedings of the Royal Society A 478, 2262, (2022) (with B. Guzina and O. Oudghiri-Idrissi)
Modified sampling method with near field measurements, SIAM J. Appl. Math. 82 (1), 244-266 (2022) (with X. Liu and B. Zhang)