Concepedia

Nonlinear Least Squares

Nonlinear Least Squares is a parameter estimation method that minimizes the sum of squared residuals between observed data and a nonlinear model function, distinguished from linear least squares by its reliance on iterative optimization to solve non-convex, nonlinear dependencies between parameters and predictions.

2.3K

Publications

216.3K

Citations

5.8K

Authors

1.7K

Institutions

Publications per year

2017–2026

391

Variants

Nonlinear Least Squares EstimationNonlinear Least Squares Regression

Parents

Publications

2.3K

An Algorithm for Least-Squares Estimation of Nonlinear Parameters

Donald W. Marquardt · Journal of the Society for Industrial and Applied Mathematics · 1963 · 30.4K citations

, , +11

A method for the solution of certain non-linear problems in least squares

Kenneth Levenberg · Quarterly of Applied Mathematics · 1944 · 12.2K citations · Full text

, , +4

Training feedforward networks with the Marquardt algorithm

Martin Hagan, Mohammad Bagher Menhaj · IEEE Transactions on Neural Networks · 1994 · 7.7K citations

, , +14

A pyramid approach to subpixel registration based on intensity

P. Thévenaz, Urs E. Ruttimann, Michaël Unser · IEEE Transactions on Image Processing · 1998 · 3.3K citations · Full text

, , +17

Numerical methods for least squares problems

Choice Reviews Online · 1996 · 3.1K citations

, , +10

1–5 of 2.3K

Authors

5.8K

  1. CP
    C. P. Rinsland

    Langley Research Center, United States

    16 publications · 800 citations

    14

    h-index

  2. DC
    D. Chris Benner

    William & Mary, United States

    13 publications · 753 citations

    13

    h-index

  3. JR
    J. Ross Macdonald

    University of North Carolina at Chapel Hill, United States

    12 publications · 951 citations

    12

    h-index

  4. VM
    V. Malathy Devi

    William & Mary, United States

    12 publications · 711 citations

    12

    h-index

  5. JT
    Joel Tellinghuisen

    Vanderbilt University, United States

    9 publications · 450 citations

    9

    h-index

1–5 of 5.8K

Institutions

1.7K

  1. University of California, Berkeley

    Berkeley, United States

    22 h-index

    51 publications

    4.1K citations

  2. Langley Research Center

    Hampton, United States

    19 h-index

    45 publications

    2.4K citations

  3. Stanford University

    Stanford, United States

    19 h-index

    39 publications

    4.9K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    18 h-index

    42 publications

    3.9K citations

  5. Texas A&M University

    College Station, United States

    17 h-index

    53 publications

    1.8K citations

  6. University of Wisconsin–Madison

    Madison, United States

    17 h-index

    54 publications

    3.6K citations

  7. National Institute of Standards and Technology

    Gaithersburg, United States

    17 h-index

    39 publications

    3K citations

  8. The Ohio State University

    Columbus, United States

    16 h-index

    36 publications

    2.3K citations

1–8 of 1.7K

Venues

  1. The Journal of Chemical Physics

    49 publications · 2.8K citations

    29

    h-index

  2. Applied Optics

    42 publications · 2.1K citations

    27

    h-index

  3. IEEE Transactions on Signal Processing

    36 publications · 3.3K citations

    25

    h-index

  4. Journal of Geophysical Research Atmospheres

    JGR · 35 publications · 2.5K citations

    24

    h-index

  5. SIAM Journal on Numerical Analysis

    19 publications · 3K citations

    18

    h-index

1–5