Concepedia

Jacobian Determinant

The Jacobian Determinant is the determinant of the Jacobian matrix, which represents the signed factor by which a differentiable transformation scales infinitesimal volumes in multidimensional space.

369

Publications

19.2K

Citations

767

Authors

413

Institutions

Publications per year

2017–2026

41

Parents

Publications

369

NICE: Non-linear Independent Components Estimation

Laurent Dinh, David Krueger, Yoshua Bengio · arXiv (Cornell University) · 2014 · 1.4K citations · Full text

, , +14

The Jacobian matrix and global univalence of mappings

David Gale, Hukukane Nikaidô · Mathematische Annalen · 1965 · 675 citations

, , +9

On the non-vanishing of the Jacobian in certain one-to-one mappings

Hans Lewy · Bulletin of the American Mathematical Society · 1936 · 554 citations · Full text

, , +5

Volume-preserving nonrigid registration of MR breast images using free-form deformation with an incompressibility constraint

Torsten Rohlfing, Calvin R. Maurer, David A. Bluemke et al. · IEEE Transactions on Medical Imaging · 2003 · 440 citations

, , +17

Widely Convergent Method for Finding Multiple Solutions of Simultaneous Nonlinear Equations

F. H. Branin · IBM Journal of Research and Development · 1972 · 381 citations

, , +14

1–5 of 369

Authors

767

  1. TI
    Tadeusz Iwaniec

    Syracuse University, United States

    5 publications · 211 citations

    5

    h-index

  2. WG
    Will Grathwohl

    University of Toronto, Canada

    4 publications · 828 citations

    4

    h-index

  3. JO
    Jani Onninen

    Syracuse University, United States

    4 publications · 161 citations

    4

    h-index

  4. DD
    David Duvenaud

    University of Toronto, Canada

    4 publications · 828 citations

    4

    h-index

  5. IO
    Ingram Olkin

    Stanford University, United States

    4 publications · 401 citations

    4

    h-index

1–5 of 767

Institutions

413

  1. Purdue University West Lafayette

    West Lafayette, United States

    8 h-index

    9 publications

    364 citations

  2. Stanford University

    Stanford, United States

    7 h-index

    13 publications

    1.5K citations

  3. Institute of Mathematics

    Warsaw, Poland

    7 h-index

    10 publications

    142 citations

  4. University of Michigan

    Ann Arbor, United States

    6 h-index

    10 publications

    481 citations

  5. University of Maryland, College Park

    College Park, United States

    5 h-index

    8 publications

    277 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    6 publications

    127 citations

  7. University of Alberta

    Edmonton, Canada

    5 h-index

    7 publications

    124 citations

  8. Stony Brook University

    Stony Brook, United States

    4 h-index

    6 publications

    835 citations

1–8 of 413

Venues

  1. Linear Algebra and its Applications

    17 publications · 779 citations

    13

    h-index

  2. Journal of Pure and Applied Algebra

    12 publications · 270 citations

    11

    h-index

  3. arXiv (Cornell University)

    Repository · 9 publications · 2.1K citations

    9

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 8 publications · 273 citations

    8

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 6 publications · 123 citations

    6

    h-index

1–5