Inverse Problems

Inverse Problems is a branch of applied mathematics concerned with determining the causes or parameters of a system from observed or measured effects, as opposed to predicting effects from known causes in forward problems.

8.6K

Publications

508K

Citations

11.5K

Authors

Institutions

Publications per year

2017–2026

1.7K

Parents

Applied MathematicsUncertainty Quantification

Children

Anomaly Detection In Inverse ProblemsBayesian Inverse ProblemsCompressed SensingDeterministic Inverse ProblemsElectrical Impedance TomographyIll-posed ProblemsImage DeblurringInverse Diffusion ProblemsInverse Heat ConductionInverse Problems For Ordinary Differential Equations

Publications

8.6K

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

Amir Beck, Marc Teboulle · SIAM Journal on Imaging Sciences · 2009 · 12K citations

Natural Sciences, Computer Science, Biomedical Imaging +15

An iterative thresholding algorithm for linear inverse problems with a sparsity constraint

Ingrid Daubechies, Michel Defrise, Christine De Mol · Communications on Pure and Applied Mathematics · 2004 · 5K citations

Computing, Computer Science, Mathematics +10

A generalized inverse for matrices

Roger Penrose · Mathematical Proceedings of the Cambridge Philosophical Society · 1955 · 4.5K citations · Full text

Natural Sciences, Computer Science, Algebra +12

Inversion of seismic reflection data in the acoustic approximation

Albert Tarantola · Geophysics · 1984 · 3.6K citations

Natural Sciences, Earth Sciences, Geophysics +17

1–5 of 8.6K

Authors

11.5K

MY
Masahiro Yamamoto
The University of Tokyo, Japan
69 publications · 5K citations
34
h-index
YW
Yimin Wei
Fudan University, China
69 publications · 2.8K citations
33
h-index
GU
Günther Uhlmann
University of Washington, United States
47 publications · 4.9K citations
28
h-index
MV
Michael V. Klibanov
University of North Carolina at Charlotte, United States
50 publications · 2.2K citations
27
h-index
PS
Predrag S. Stanimirović
University of Nis, Serbia
51 publications · 1.7K citations
26
h-index

1–5 of 11.5K

Institutions

1–8 of 3K

Venues

Inverse Problems
765 publications · 44.4K citations
101
h-index
Geophysics
122 publications · 15.5K citations
51
h-index
Geophysical Journal International
GJI · 116 publications · 13K citations
49
h-index
Linear Algebra and its Applications
233 publications · 8.2K citations
48
h-index
SIAM Journal on Applied Mathematics
103 publications · 5.9K citations
40
h-index

1–5