Concepedia

Ill-posed Problems

Ill-Posed Problems is a mathematical concept in the field of inverse problems that refers to problems which fail to satisfy one or more of the three Hadamard criteria for well-posedness—namely existence, uniqueness, or continuous dependence of the solution on the input data.

3.9K

Publications

247.8K

Citations

7.1K

Authors

2.1K

Institutions

Publications per year

2017–2026

1.1K

Variants

Ill-posed Problem

Parents

Publications

3.9K

Solutions of Ill-Posed Problems.

John B. Bell, V. Y. Arsenin · Mathematics of Computation · 1978 · 8.2K citations

, , +12

Analysis of Discrete Ill-Posed Problems by Means of the L-Curve

Per Christian Hansen · SIAM Review · 1992 · 3.8K citations

, , +15

DehazeNet: An End-to-End System for Single Image Haze Removal

Bolun Cai, Xiangmin Xu, Kui Jia et al. · IEEE Transactions on Image Processing · 2016 · 3.3K citations · Full text

, , +16

The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems

Per Christian Hansen, Dianne P. O’Leary · SIAM Journal on Scientific Computing · 1993 · 3.1K citations

, , +13

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

1–5 of 3.9K

Authors

7.1K

  1. LR
    Lothar Reichel

    Kent State University, United States

    48 publications · 2.1K citations

    25

    h-index

  2. BH
    Bernd Hofmann

    Chemnitz University of Technology, Germany

    43 publications · 1.9K citations

    24

    h-index

  3. OS
    Otmar Scherzer

    University of Vienna, Austria

    28 publications · 2.8K citations

    24

    h-index

  4. UT
    Ulrich Tautenhahn

    Zittau/Görlitz University of Applied Sciences, Germany

    23 publications · 1.3K citations

    21

    h-index

  5. BK
    Barbara Kaltenbacher

    University of Klagenfurt, Austria

    20 publications · 1.2K citations

    18

    h-index

1–5 of 7.1K

Institutions

2.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    43 h-index

    200 publications

    12.1K citations

  2. Johannes Kepler University of Linz

    Linz, Austria

    33 h-index

    78 publications

    7.4K citations

  3. Chinese Academy of Sciences

    Beijing, China

    27 h-index

    116 publications

    5.2K citations

  4. University College London

    London, United Kingdom

    27 h-index

    72 publications

    3.8K citations

  5. Chemnitz University of Technology

    Chemnitz, Germany

    26 h-index

    76 publications

    2.8K citations

  6. Kent State University

    Kent, United States

    25 h-index

    68 publications

    2.7K citations

  7. Zhejiang University

    Hangzhou, China

    23 h-index

    72 publications

    7.9K citations

  8. Tsinghua University

    Beijing, China

    23 h-index

    121 publications

    8.4K citations

1–8 of 2.1K

Venues

  1. Inverse Problems

    253 publications · 16K citations

    64

    h-index

  2. IEEE Transactions on Image Processing

    64 publications · 15.7K citations

    43

    h-index

  3. 37

    h-index

  4. Journal of Differential Equations

    69 publications · 3.7K citations

    33

    h-index

  5. IEEE Transactions on Medical Imaging

    41 publications · 4.2K citations

    33

    h-index

1–5