Publications

Submitted manuscripts and preprints

  1. Bamdad Hosseini, Alexander W Hsu, and Amirhossein Taghvaei, “Conditional Optimal Transport on Function Spaces”, https://arxiv.org/abs/2311.05672
  2. Mohammad Al-Jarrah, Niyizhen Jin, Bamdad Hosseini, and Amirhossein Taghvaei, “Optimal Transport-based Nonlinear Filtering in High-dimensional Settings”, https://arxiv.org/abs/2310.13886
  3. Pau Batlle, Yifan Chen, Bamdad Hosseini, Houman Owhadi, and Andrew Stuart, “Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs”, https://arxiv.org/abs/2305.04962
  4. Mohammad Al-Jarrah, Bamdad Hosseini, Amirhossein Taghvaei, “Optimal Transport Particle Filters” (2023), https://arxiv.org/abs/2304.00392
  5. Alfredo-Garbuno Inigo, Tapio Helin, Franca Hoffmann, Bamdad Hosseini, “Bayesian Posterior Perturbation Analysis with Integral Probability Metrics” (2023), https://arxiv.org/abs/2303.01512 
  6. Ricardo Baptista, Bamdad Hosseini, Nikola B. Kovachki, Youssef M. Marzouk, Amir Sagiv, “An Approximation Theory Framework for Measure-Transport Sampling Algorithms” (2023), https://arxiv.org/abs/2302.13965
  7. Da Long, Nicole Mrvaljevic, Shandian Zhe, Bamdad Hosseini, ” A Kernel Approach for PDE Discovery and Operator Learning” (2022), https://arxiv.org/abs/2210.08140
  8. Nikola B. Kovachki, Ricardo Baptista, Bamdad Hosseini, and Youssef M. Marzouk, “Conditional sampling with monotone GANs” (2020). https://arxiv.org/abs/2006.06755

Published articles

  1. Pau Batlle, Matthieu Darcy, Bamdad Hosseini, and Houman Owhadi, “Kernel methods are competitive for operator learning”, Journal of Computational Physics 496 (2024), https://doi.org/10.1016/j.jcp.2023.112549
  2. Masoud Barati, Mohammad Ensaf, and Bamdad Hosseini, “Kernel Regression Method for Stochastic Real-time State Estimation in Power Grid”, 2023 IEEE Kansas Power and Energy Conference (KPEC), https://doi.org/10.1109/KPEC58008.2023.10215450
  3. Bamdad Hosseini and James E. Johndrow, “Spectral gaps and error estimates for infinite-dimensional Metropolis–Hastings with non-Gaussian priors”, The Annals of Applied Probability 33 (3), (2023), https://doi.org/10.1214/22-AAP1854
  4. Nicolas Garica Trillos, Bamdad Hosseini, Daniel Sanz-Alonso, “From Optimization to Sampling Through Gradient Flows”, Notices of the AMS 70 (6) (2023), https://doi.org/10.1090/noti2717
  5. Bamdad Hosseini and Stefan Steinerberger, “Intrinsic Sparsity of Kantorovich solutions“. Comptes Rendus
    Mathématique (2022), https://doi.org/10.5802/crmath.392
  6. Amirhossein Taghvaei and Bamdad Hosseini, “An Optimal Transport Formulation of Bayes’ Law for Nonlinear Filtering Algorithms”. IEEE 61st
    Conference on Decision and Control (2022), https://arxiv.org/pdf/2203.11869.pdf
  7. Franca Hoffmann, Bamdad Hosseini, Assad A. Oberai and Andrew M. Stuart “Spectral analysis of weighted Laplacians arising in data clustering”.  Applied and Computational Harmonic Analysis 56 (2021), pp 189-249. https://doi.org/10.1016/j.acha.2021.07.004
  8. Yifan Chen, Bamdad Hosseini, Houman Owhadi and Andrew M. Stuart, “Solving and Learning Nonlinear PDEs with Gaussian Processes”. Journal of Computational Physics 447 (2021), pp 110668. https://doi.org/10.1016/j.jcp.2021.110668
  9. Andrea L. Bertozzi, Bamdad Hosseini, Hao Li, Kevin Miller and Andrew M. Stuart, “Posterior consistency of semi-supervised regression on graphs”, Inverse Problems 37 (10 2021), pp 105011. http://iopscience.iop.org/article/10.1088/1361-6420/ac1e80
  10. Kaushik Bhattacharya, Bamdad Hosseini, Nikola B. Kovachki, and Andrew M. Stuart “Model reduction and neural networks for parametric PDEs”. The SMAI Journal of Computational Mathematics 7 (2021), pp 121-157. https://doi.org/10.5802/smai-jcm.74
  11. Nicolas Garcia Trillos, Franca Hoffmann and Bamdad Hosseini “Geometric structure of graph Laplacian embeddings”. Journal Of Machine Learning Research 22 (2021), pp 1−55. url:https://jmlr.org/papers/v22/19-683.html
  12. Franca Hoffmann, Bamdad Hosseini, Zhi Ren and Andrew M. Stuart “Consistency of semi-supervised learning algorithms on graphs: Probit and one-hot methods”. Journal Of Machine Learning Research  21 (2020), pp 1-55. url:https://jmlr.org/papers/v21/15-900.html
  13. Juan G. Garcia, Bamdad Hosseini and John M. Stockie “Simultaneous model calibration and source inversion in atmospheric dispersion models”. Pure and Applied Geophysics (2019), pp 1–20. url:https://doi.org/10.1007/s00024-019-02348-4
  14. Bamdad Hosseini. “Two Metropolis-Hastings algorithms for posterior measures with non-Gaussian priors in infinite dimensions”. SIAM/ASA Journal on Uncertainty Quantification 7 (4 2019), pp. 1185–1223. url: https://doi.org/10.1137/18M1183017
  15. Bamdad Hosseini, Charles Mougenot, Samuel Pichardo, Elodie Constantiel, James Drake, and John M Stockie. “A Bayesian approach for estimating acoustic aberrations in high intensity focused ultrasound treatment”. Communications in Computational Physics 25 (5 2019), pp. 1564–1590. url: https://doi.org/10.4208/cicp.OA-2018-0007
  16. Bamdad Hosseini. “Well-posed Bayesian inverse problems with infinitely divisible and heavy-tailed prior measures”. SIAM/ASA Journal on Uncertainty Quantification 5 (1 2017), pp. 1024–1060. url: https://doi.org/10.1137/16M1096372
  17. Bamdad Hosseini and Nilima Nigam. “Well-posed Bayesian inverse problems: priors with exponential tails”. SIAM/ASA Journal on Uncertainty Quantification 5 (1 2017), pp. 436–465. url: https://doi.org/10.1137/16M1076824.
  18. Bamdad Hosseini and John M Stockie. “Estimating airborne particulate emissions using a finite- volume forward solver coupled with a Bayesian inversion approach”. Computers and Fluids 154 (2017), pp. 27–43. url: https://doi.org/10.1016/j.compfluid.2017.05.025 .
  19. Bamdad Hosseini and John M. Stockie. “Bayesian estimation of airborne fugitive emissions using a Gaussian plume model”. Atmospheric Environment 141 (2016), pp. 122–138.url: http://dx.doi.org/10.1016/j.atmosenv.2016.06.046.
  20. Bamdad Hosseini, Nilima Nigam, and John M. Stockie. “On smooth regularizations of the Dirac delta distribution”. Journal of Computational Physics 305 (2016), pp. 423–447. url: http://dx.doi.org/10.1016/j.jcp.2015.10.054.
  21. Bamdad Hosseini and Roohollah Hashemi. “Solution of Burgers’ equation using a local-RBF meshless method”. International Journal for Computational Methods in Engineering Science and Mechanics 12.1 (2011), pp. 44–58. url: http://dx.doi.org/10.1080/15502287.2010.540303.