Research

Publications

Efficient sparsity-promoting MAP estimation for Bayesian linear inverse problems.
Jonathan Lindbloom, Jan Glaubitz, and Anne Gelb. 2025. Inverse Problems, 41(2), 025001.

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Complex-valued signal recovery using the Bayesian LASSO.
Dylan Green, Jonathan Lindbloom, and Anne Gelb. 2025. SIAM/ASA Journal on Uncertainty Quantification, 13(2), 831-861.

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Empirical Bayesian inference for complex-valued signals using support-informed priors.
Dylan Green, Jonathan Lindbloom, and Anne Gelb. 2024. AIMS Applied Mathematics for Modern Challenges, 2(4).

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Preprints

Priorconditioned Sparsity-Promoting Projection Methods for Deterministic and Bayesian Linear Inverse Problems.
Jonathan Lindbloom, Mirjeta Pasha, Jan Glaubitz, and Youssef Marzouk. 2025.

  arXiv

Conference papers

Complex-Valued Image Recovery from Multiple Measurements.
Dylan Green, Jonathan Lindbloom, and Anne Gelb. 2024 IEEE Conference on Computational Imaging Using Synthetic Apertures (CISA). 2024.

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Talks

Preconditioning techniques for large-scale sparsity-promoting inverse problems.
Dartmouth Applied & Computational Mathematics Seminar. Hanover, NH. April 2025.

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Preconditioning techniques for large-scale sparsity-promoting inverse problems.
East Coast Optimization Meeting. Arlington, VA. April 2025.

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Preconditioning techniques for large-scale sparsity-promoting inverse problems.
50th Annual New York State Regional Graduate Mathematics Conference. Syracuse, NY. March 2025.

Preconditioning techniques for large-scale sparsity-promoting inverse problems.
SIAM Conference on Computational Science and Engineering. Fort Worth, TX. March 2025.

  Slides

Cauchy interlacing and generalized Ostrowski theorems.
Dartmouth Mathematics Graduate Student Seminar. Hanover, NH. January 2025.

Priorconditioned generalized Krylov subspaces for sparsity-promoting inversion.
Virginia Tech Applied Numerical Analysis Seminar. Blacksburg, VA. December 2024.

Priorconditioned generalized Krylov subspaces for sparsity-promoting inversion.
Dartmouth Mathematics Graduate Student Seminar. Hanover, NH. October 2024.

The Conjugate Gradient Method: A Top 10 Algorithm of the 20th Century.
Dartmouth Mathematics Graduate Student Seminar. Hanover, NH. May 2024.

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Generalized Sparsity-Promoting Solvers and Uncertainty Quantification for Bayesian Inverse Problems.
Fondazione CMCC Webinar. Bologna, IT. March 2024.

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Generalized Sparsity-Promoting Solvers and Samplers for Hierarchical Inverse Problems.
SIAM Conference on Uncertainty Quantification. Trieste, IT. February 2024.

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A Brief Introduction to Matrix-Free and Randomized Matrix Computations.
Dartmouth Mathematics Graduate Student Seminar. Hanover, NH. January 2024.

Oblique Projections and Low-Rank Structure in Inverse Problems.
Dartmouth Mathematics Graduate Student Seminar. Hanover, NH. September 2023.

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Computational Strategies for Bayesian Inversion with Conditionally Gaussian Sparsity Priors.
SIAM Conference on Computational Science and Engineering. Amsterdam, NL. March 2023.

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Hierarchical Bayesian Inverse Problems.
Dartmouth Mathematics Graduate Student Seminar. Hanover, NH. January 2023.

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Generalized Hybrid Solvers for Sparsity-Promoting Bayesian Inverse Problems.
Dartmouth Advancement Examination. Hanover, NH. November 2022.

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Generalized Hybrid Solvers for Large-Scale Edge-Preserving Inversion.
Dartmouth Sea Ice Modeling and Data Assimilation MURI Annual Meeting. Virtual. November 2022.

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Surrogate Modeling for High Explosives Diameter Effect Calculations.
Theoretical Division Lightning Talk Symposium. Los Alamos, NM. August 2022.

Multiplicative Denoising with Uncertainty Quantification for Synthetic Aperture Radar Imaging.
SIAM Conference on Uncertainty Quantification. Atlanta, GA. April 2022.

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Towards UQ for SAR Despeckling.
Dartmouth Sea Ice Modeling and Data Assimilation MURI Annual Meeting. Virtual. October 2021.

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Uncertainty Quantification in High Explosives Equations of State.
LANL Computational Physics Summer Workshop Final Presentations. Virtual. August 2021.

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Posters

Efficient Gaussian Sampling for Sparsity-Promoting Bayesian Inversion.
NENAD 2024. Hanover, NH. June 2024.

Sparsity-Promoting Multiplicative Denoising via Block Coordinate Descent.
SIAM POD-UQ. Trieste, IT. February 2024.

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Technical articles

A Bayesian model of records.
Jaime Sevilla and Jonathan Lindbloom. Authorea. May 2022.

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Modelling a Time Series of Records with PyMC3.
Jaime Sevilla and Jonathan Lindbloom. Authorea. September 2021.

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