Publications

Publications and preprints by Fuqun Han

  1. Habib Ammari, Yat Tin Chow, and Fuqun Han. “Scattering by a Medium with Self-Similar or Fractal Structure.” arXiv:2608.12728, 2026. [arXiv]

  2. Fuqun Han and Wuchen Li. “A Kernel Formula for Kinetic Fokker–Planck Equations.” arXiv:2608.05770, 2026. [arXiv]

  3. Fuqun Han, Stanley Osher, and Wuchen Li. “Sparse Transformer Architectures via Regularized Wasserstein Proximal Operator with \(L_1\) Prior.” arXiv:2510.16356, 2025. [arXiv]

  4. Fuqun Han, Stanley Osher, and Wuchen Li. “Splitting Regularized Wasserstein Proximal Algorithms for Nonsmooth Sampling Problems.” arXiv:2502.16773, 2025. [arXiv]

  5. Fuqun Han and Kazufumi Ito. “A Weighted Sampling Method for the Inverse Medium Problem with Limited Aperture.” arXiv:2509.14580, 2025. [arXiv]

  6. Fuqun Han, Stanley Osher, and Wuchen Li. “Tensor Train Based Sampling Algorithms for Approximating Regularized Wasserstein Proximal Operators.” SIAM/ASA Journal on Uncertainty Quantification 13 (2025): 775–804. [Journal] [arXiv]

  7. Jianfeng Ning, Fuqun Han, and Jun Zou. “A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data.” SIAM Journal on Scientific Computing 47 (2025): C343–C368. [Journal] [arXiv]

  8. Minxin Zhang, Fuqun Han, Yat Tin Chow, Stanley Osher, and Hayden Schaeffer. “Inexact Proximal Point Algorithms for Zeroth-Order Global Optimization.” arXiv:2412.11485, 2024. [arXiv]

  9. Jianfeng Ning, Fuqun Han, and Jun Zou. “A Direct Sampling-Based Deep Learning Approach for Inverse Medium Scattering Problems.” Inverse Problems 40 (2024): 015005. [Journal] [arXiv]

  10. Yat Tin Chow, Fuqun Han, and Jun Zou. “A Direct Sampling Method for Simultaneously Recovering Electromagnetic Inhomogeneous Inclusions of Different Nature.” Journal of Computational Physics 470 (2022): 111584. [Journal]

  11. Yat Tin Chow, Fuqun Han, and Jun Zou. “A Direct Sampling Method for the Inversion of the Radon Transform.” SIAM Journal on Imaging Sciences 14 (2021): 1004–1038. [Journal] [arXiv]

  12. Yat Tin Chow, Fuqun Han, and Jun Zou. “A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature.” SIAM Journal on Scientific Computing 43 (2021): A2161–A2189. [Journal] [arXiv]

Research Interests

  • High-dimensional sampling, probability flows, and optimal transport, including regularized Wasserstein proximal methods and Fokker–Planck equations.
  • Inverse problems and computational imaging, with an emphasis on inverse scattering, wave-based sensing, and limited or phaseless measurements.
  • Scientific machine learning and optimization, including structured generative models, transformer architectures, and derivative-free methods.
  • Scalable numerical computation using tensor methods, kernel representations, and particle algorithms.