Concepedia

Ill-posed Inverse Problems

Ill-Posed Inverse Problems is an inverse problem characterized by the violation of one or more of Hadamard's criteria for well-posedness—specifically, the lack of existence, uniqueness, or continuous dependence of the solution on the data—rendering its reconstruction inherently unstable and sensitive to measurement errors.

2.6K

Publications

136.6K

Citations

4.6K

Authors

1.6K

Institutions

Publications per year

2017–2026

716

Variants

Ill-posed Problems

Parents

Publications

2.6K

Hyperspectral Unmixing Overview: Geometrical, Statistical, and Sparse Regression-Based Approaches

José M. Bioucas‐Dias, Antonio Plaza, Nicolas Dobigeon et al. · IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing · 2012 · 2.7K citations · Full text

, , +12

Deep Convolutional Neural Network for Inverse Problems in Imaging

Kyong Hwan Jin, Michael T. McCann, Emmanuel Froustey et al. · IEEE Transactions on Image Processing · 2017 · 2.5K citations · Full text

, , +17

REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems

Per Christian Hansen · Numerical Algorithms · 1994 · 1.7K citations

, , +15

Monte Carlo sampling of solutions to inverse problems

Klaus Mosegaard, Albert Tarantola · Journal of Geophysical Research Atmospheres · 1995 · 1.3K citations

, , +11

Blind deconvolution using a normalized sparsity measure

Dilip Krishnan, Terence Tay, Rob Fergus · 2011 · 1.1K citations

, , +12

1–5 of 2.6K

Authors

4.6K

  1. MY
    Masahiro Yamamoto

    The University of Tokyo, Japan

    38 publications · 2.1K citations

    26

    h-index

  2. BH
    Bernd Hofmann

    Chemnitz University of Technology, Germany

    27 publications · 876 citations

    21

    h-index

  3. LR
    Lothar Reichel

    Kent State University, United States

    27 publications · 833 citations

    19

    h-index

  4. OS
    Otmar Scherzer

    University of Vienna, Austria

    19 publications · 1.7K citations

    17

    h-index

  5. RR
    Ronny Ramlau

    Johannes Kepler University of Linz, Austria

    17 publications · 678 citations

    15

    h-index

1–5 of 4.6K

Institutions

1.6K

  1. Centre National de la Recherche Scientifique

    Paris, France

    33 h-index

    157 publications

    6.9K citations

  2. The University of Tokyo

    Tokyo, Japan

    28 h-index

    57 publications

    2.6K citations

  3. University College London

    London, United Kingdom

    28 h-index

    76 publications

    4.8K citations

  4. Johannes Kepler University of Linz

    Linz, Austria

    26 h-index

    49 publications

    4.5K citations

  5. Chemnitz University of Technology

    Chemnitz, Germany

    22 h-index

    50 publications

    1.6K citations

  6. Fudan University

    Shanghai, China

    22 h-index

    53 publications

    2K citations

  7. Johann Radon Institute for Computational and Applied Mathematics

    Linz, Austria

    20 h-index

    34 publications

    1.6K citations

  8. University of Eastern Finland

    Joensuu, Finland

    20 h-index

    51 publications

    4.4K citations

1–8 of 1.6K

Venues

  1. Inverse Problems

    279 publications · 15.3K citations

    64

    h-index

  2. Journal of Inverse and Ill-Posed Problems

    99 publications · 2.6K citations

    29

    h-index

  3. Linear Algebra and its Applications

    55 publications · 1.6K citations

    26

    h-index

  4. IEEE Transactions on Image Processing

    26 publications · 5.1K citations

    24

    h-index

  5. arXiv (Cornell University)

    Repository · 50 publications · 1.8K citations

    24

    h-index

1–5