Non-Gaussian statistical inverse problems. Part I: Posterior distributions

Sari Lasanen

doi:10.3934/ipi.2012.6.215

Non-Gaussian statistical inverse problems. Part I: Posterior distributions

Inverse Problems and Imaging ◽

10.3934/ipi.2012.6.215 ◽

2012 ◽

Vol 6 (2) ◽

pp. 215-266 ◽

Cited By ~ 23

Author(s):

Sari Lasanen

Keyword(s):

Inverse Problems ◽

Posterior Distributions ◽

Statistical Inverse Problems ◽

Non Gaussian

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STATISTICAL INVERSE PROBLEMS FOR NON-GAUSSIAN NON-STATIONARY STOCHASTIC PROCESSES DEFINED BY A SET OF REALIZATIONS

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2015) ◽

10.7712/120215.4259.856 ◽

2015 ◽

Author(s):

G. Perrin ◽

C. Soize

Keyword(s):

Inverse Problems ◽

Stochastic Processes ◽

Stationary Stochastic Processes ◽

Statistical Inverse Problems ◽

Non Gaussian

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Non-Gaussian statistical inverse problems. Part II: Posterior convergence for approximated unknowns

Inverse Problems and Imaging ◽

10.3934/ipi.2012.6.267 ◽

2012 ◽

Vol 6 (2) ◽

pp. 267-287 ◽

Cited By ~ 16

Author(s):

Sari Lasanen

Keyword(s):

Inverse Problems ◽

Statistical Inverse Problems ◽

Non Gaussian

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Statistical inverse problems for non-Gaussian vector valued random fields with a set of experimental realizations

Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures ◽

10.1201/b16387-407 ◽

2014 ◽

pp. 2811-2816

Author(s):

G Perrin ◽

C Soize ◽

D Duhamel ◽

C Funfschilling

Keyword(s):

Inverse Problems ◽

Random Fields ◽

Gaussian Vector ◽

Statistical Inverse Problems ◽

Non Gaussian ◽

Vector Valued

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Parallel Markov chain Monte Carlo for non-Gaussian posterior distributions

Stat ◽

10.1002/sta4.97 ◽

2015 ◽

Vol 4 (1) ◽

pp. 304-319 ◽

Cited By ~ 4

Author(s):

Alexey Miroshnikov ◽

Zheng Wei ◽

Erin Marie Conlon

Keyword(s):

Monte Carlo ◽

Markov Chain ◽

Markov Chain Monte Carlo ◽

Posterior Distributions ◽

Non Gaussian

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Statistical inverse problems: Discretization, model reduction and inverse crimes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.09.027 ◽

2007 ◽

Vol 198 (2) ◽

pp. 493-504 ◽

Cited By ~ 281

Author(s):

Jari Kaipio ◽

Erkki Somersalo

Keyword(s):

Inverse Problems ◽

Model Reduction ◽

Statistical Inverse Problems

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Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems

SIAM Journal on Scientific Computing ◽

10.1137/090775622 ◽

2010 ◽

Vol 32 (5) ◽

pp. 2523-2542 ◽

Cited By ~ 123

Author(s):

Chad Lieberman ◽

Karen Willcox ◽

Omar Ghattas

Keyword(s):

Inverse Problems ◽

Model Reduction ◽

Large Scale ◽

State Model ◽

Statistical Inverse Problems

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Statistical Inverse Problems on Manifolds

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-005-3041-1 ◽

2005 ◽

Vol 11 (6) ◽

pp. 639-653 ◽

Cited By ~ 6

Author(s):

Peter T. Kim ◽

Ja-Yong Koo

Keyword(s):

Inverse Problems ◽

Statistical Inverse Problems

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Adaptivity and Oracle Inequalities in Linear Statistical Inverse Problems: A (Numerical) Survey

Trends in Mathematics - New Trends in Parameter Identification for Mathematical Models ◽

10.1007/978-3-319-70824-9_15 ◽

2018 ◽

pp. 291-316

Author(s):

Frank Werner

Keyword(s):

Inverse Problems ◽

Oracle Inequalities ◽

Statistical Inverse Problems

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Surrogate and Reduced-Order Modeling: A Comparison of Approaches for Large-Scale Statistical Inverse Problems

Large-Scale Inverse Problems and Quantification of Uncertainty ◽

10.1002/9780470685853.ch7 ◽

2010 ◽

pp. 123-149 ◽

Cited By ~ 22

Author(s):

M. Frangos ◽

Y. Marzouk ◽

K. Willcox ◽

B. van Bloemen Waanders

Keyword(s):

Inverse Problems ◽

Large Scale ◽

Reduced Order Modeling ◽

Reduced Order ◽

Statistical Inverse Problems

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The taut string approach to statistical inverse problems: Theory and applications

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113098 ◽

2021 ◽

Vol 382 ◽

pp. 113098 ◽

Cited By ~ 1

Author(s):

Sangjin Kim ◽

Michael Pokojovy ◽

Xiang Wan

Keyword(s):

Inverse Problems ◽

Taut String ◽

Statistical Inverse Problems

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