Publications

Submitted manuscripts and preprints

  1. Alfredo-Garbuno Inigo, Tapio Helin, Franca Hoffmann, Bamdad Hosseini, “Bayesian Posterior Perturbation Analysis with Integral Probability Metrics” (2023), https://arxiv.org/abs/2303.01512 
  2. 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
  3. Nicolas Garica Trillos, Bamdad Hosseini, Daniel Sanz-Alonso, “From Optimization to Sampling Through Gradient Flows” (2023), https://arxiv.org/abs/2302.11449
  4. Da Long, Nicole Mrvaljevic, Shandian Zhe, Bamdad Hosseini, ” A Kernel Approach for PDE Discovery and Operator Learning” (2022), https://arxiv.org/abs/2210.08140
  5. Bamdad Hosseini and James E. Johndrow “Spectral gaps and error estimates for infinite-dimensional Metropolis-Hastings with non-Gaussian priors” (2023, In Press). https://arxiv.org/abs/1810.00297.
  6. 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. Bamdad Hosseini and Stefan Steinerberger, “Intrinsic Sparsity of Kantorovich solutions“. Comptes Rendus
    Mathématique (2022), https://doi.org/10.5802/crmath.392
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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.
  14. 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 .
  15. 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.
  16. 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.
  17. 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.