Computational methods for a large-scale inverse problem arising in atmospheric optics

Luc Gilles , C R Vogel , J M Bardsley
Inverse Problems 18 ( 1) 237 -252

29
2002
Tikhonov regularized Poisson likelihood estimation: theoretical justification and a computational method

Johnathan M. Bardsley† , N'djekornom Laobeul
Inverse Problems in Science and Engineering 16 ( 2) 199 -215

28
2008
Constrained optimization techniques for image reconstruction

Johnathan Matheas Bardsley
Montana State University

2
2002
A Fixed Point Formulation Of The k-Means Algorithm And A Connection To Mumford-Shah

Johnathan M. Bardsley , Aaron Luttman
Applied Mathematics E-Notes [electronic only] 9 274 -276

1
2009
A NONNEGATIVELY CONSTRAINED TRUST REGION ALGORITHM FOR THE RESTORATION OF IMAGES WITH AN UNKNOWN BLUR

Johnathan M. Bardsley
ETNA. Electronic Transactions on Numerical Analysis [electronic only] 20 139 -153

7
2005
Optimization-Based Markov Chain Monte Carlo Methods for Nonlinear Hierarchical Statistical Inverse Problems

Johnathan M. Bardsley , Tiangang Cui
SIAM/ASA Journal on Uncertainty Quantification 9 ( 1) 29 -64

5
2021
14
2008
An MCMC method for uncertainty quantification in nonnegativity constrained inverse problems

Johnathan M. Bardsley , Colin Fox
Inverse Problems in Science and Engineering 20 ( 4) 477 -498

7
2012
PARAMETER AND UNCERTAINTY ESTIMATION FOR DYNAMICAL SYSTEMS USING SURROGATE STOCHASTIC PROCESSES.

Matthias Chung , Mickaël Binois , Robert B. Gramacy , Johnathan M. Bardsley
SIAM Journal on Scientific Computing 41 ( 4)

8
2019
MCMC Algorithms for Computational UQ of Nonnegativity Constrained Linear Inverse Problems

Johnathan M. Bardsley , Per Christian Hansen
SIAM Journal on Scientific Computing 42 ( 2)

2020
Point Spread Function Estimation in X-Ray Imaging with Partially Collapsed Gibbs Sampling

Kevin T. Joyce , Johnathan M. Bardsley , Aaron Luttman
SIAM Journal on Scientific Computing 40 ( 3)

5
2018
Structured linear algebra problems in adaptive optics imaging

Johnathan M. Bardsley , Sarah Knepper , James Nagy
Advances in Computational Mathematics 35 ( 2-4) 103 -117

16
2011
Total variation-penalized Poisson likelihood estimation for ill-posed problems

Johnathan M. Bardsley , Aaron Luttman
Advances in Computational Mathematics 31 ( 1-3) 35 -59

62
2009
OPTIMIZATION-BASED SAMPLING IN ENSEMBLE KALMAN FILTERING

Antti Solonen , Alexander Bibov , Johnathan M. Bardsley , Heikki Haario
International Journal for Uncertainty Quantification 4 ( 4) 349 -364

3
2014
AN ENSEMBLE KALMAN FILTER USING THE CONJUGATE GRADIENT SAMPLER

Johnathan M. Bardsley , Antti Solonen , Albert Parker , Heikki Haario
International Journal for Uncertainty Quantification 3 ( 4) 357 -370

10
2013
A METROPOLIS-HASTINGS METHOD FOR LINEAR INVERSE PROBLEMS WITH POISSON LIKELIHOOD AND GAUSSIAN PRIOR

Johnathan M. Bardsley , Aaron Luttman
International Journal for Uncertainty Quantification 6 ( 1) 35 -55

7
2016
MCMC-Based Image Reconstruction with Uncertainty Quantification

Johnathan M. Bardsley
SIAM Journal on Scientific Computing 34 ( 3)

62
2012
Bayesian Inverse Problems with $l_1$ Priors: A Randomize-Then-Optimize Approach

Zheng Wang , Johnathan M. Bardsley , Antti Solonen , Tiangang Cui
SIAM Journal on Scientific Computing 39 ( 5)

15
2017
A Nonnegatively Constrained Convex Programming Method for Image Reconstruction

Johnathan M. Bardsley , Curtis R. Vogel
SIAM Journal on Scientific Computing 25 ( 4) 1326 -1343

69
2004
Laplace-distributed increments, the Laplace prior, and edge-preserving regularization

Johnathan M. Bardsley
Journal of Inverse and Ill-posed Problems 20 ( 3) 271 -285

8
2012