Concepedia

Hessian Approximation

Hessian Approximation is a computational method in gradient-based optimization that approximates the Hessian matrix to improve convergence properties while avoiding the high computational cost of exact Hessian evaluation.

1.8K

Publications

172.2K

Citations

3.6K

Authors

1.3K

Institutions

Publications per year

2017–2026

518

Parents

Publications

1.8K

A Limited Memory Algorithm for Bound Constrained Optimization

Richard H. Byrd, Peihuang Lu, Jorge Nocedal et al. · SIAM Journal on Scientific Computing · 1995 · 6.2K citations

, , +16

Practical methods of optimization

Mathematics and Computers in Simulation · 1988 · 5.9K citations

, , +11

An overview of gradient descent optimization algorithms

Sebastian Ruder · arXiv (Cornell University) · 2016 · 4.8K citations · Full text

, , +15

A new approach to variable metric algorithms

R. Fletcher · The Computer Journal · 1970 · 4.1K citations · Full text

, , +10

Conditioning of quasi-Newton methods for function minimization

David F. Shanno · Mathematics of Computation · 1970 · 3.7K citations · Full text

, , +13

1–5 of 1.8K

Authors

3.6K

  1. JN
    Jorge Nocedal

    Northwestern University, United States

    16 publications · 11.6K citations

    17

    h-index

  2. RH
    Richard H. Byrd

    University of Colorado Boulder, United States

    15 publications · 11.5K citations

    15

    h-index

  3. MW
    Michael W. Mahoney

    University of California, Berkeley, United States

    15 publications · 1.3K citations

    14

    h-index

  4. PL
    Philippe L. Toint

    University of Namur, Belgium

    11 publications · 1.6K citations

    11

    h-index

  5. LT
    Lorenz T. Biegler

    Carnegie Mellon University, United States

    9 publications · 629 citations

    10

    h-index

1–5 of 3.6K

Institutions

1.3K

  1. University of California, Berkeley

    Berkeley, United States

    26 h-index

    72 publications

    5.6K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    21 h-index

    72 publications

    2.6K citations

  3. Stanford University

    Stanford, United States

    20 h-index

    36 publications

    8.8K citations

  4. Carnegie Mellon University

    Pittsburgh, United States

    18 h-index

    39 publications

    8.4K citations

  5. Northwestern University

    Evanston, United States

    18 h-index

    28 publications

    13.4K citations

  6. Princeton University

    Princeton, United States

    17 h-index

    32 publications

    1.8K citations

  7. The University of Texas at Austin

    Austin, United States

    17 h-index

    46 publications

    7K citations

  8. University of Oxford

    Oxford, United Kingdom

    16 h-index

    28 publications

    1.6K citations

1–8 of 1.3K

Venues

  1. The Journal of Chemical Physics

    108 publications · 13.2K citations

    49

    h-index

  2. Mathematical Programming

    69 publications · 7.2K citations

    39

    h-index

  3. arXiv (Cornell University)

    Repository · 92 publications · 8K citations

    33

    h-index

  4. Journal of Optimization Theory and Applications

    67 publications · 3.5K citations

    31

    h-index

  5. SIAM Journal on Optimization

    53 publications · 6.6K citations

    29

    h-index

1–5