Concepedia

Piecewise Functions

Piecewise Function is a mathematical function defined by distinct analytic expressions on different subdomains of its domain, where each subdomain is associated with a specific rule that applies only within that interval.

969

Publications

68.6K

Citations

2.1K

Authors

932

Institutions

Publications per year

2017–2026

209

Variants

Piecewise Defined FunctionsPiecewise-defined Functions

Parents

Publications

969

Optimal approximations by piecewise smooth functions and associated variational problems

David Mumford, Jayant Shah · Communications on Pure and Applied Mathematics · 1989 · 5.2K citations · Full text

, , +13

Universal Approximation using Incremental Constructive Feedforward Networks with Random Hidden Nodes

Guang-Bin Huang, Lei Chen, Chee‐Kheong Siew · IEEE Transactions on Neural Networks · 2006 · 2.6K citations

, , +9

Estimating regression models with unknown break‐points

Vito M. R. Muggeo · Statistics in Medicine · 2003 · 2.3K citations

, , +9

A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures

Hiroshi Akima · Journal of the ACM · 1970 · 2.1K citations · Full text

, , +11

Fuzzy ARTMAP: A neural network architecture for incremental supervised learning of analog multidimensional maps

Gail A. Carpenter, Stephen Grossberg, Natalya Markuzon et al. · IEEE Transactions on Neural Networks · 1992 · 2K citations

, , +12

1–5 of 969

Authors

2.1K

  1. AR
    Arnd Rösch

    University of Duisburg-Essen, Germany

    7 publications · 535 citations

    7

    h-index

  2. SC
    Susanne C. Brenner

    Louisiana State University, United States

    7 publications · 806 citations

    7

    h-index

  3. AG
    Anne Gelb

    Arizona State University, United States

    6 publications · 257 citations

    6

    h-index

  4. LO
    Leon O. Chua

    University of California, Berkeley, United States

    6 publications · 742 citations

    6

    h-index

  5. RD
    Ronald DeVore

    University of South Carolina, United States

    6 publications · 630 citations

    6

    h-index

1–5 of 2.1K

Institutions

932

  1. University of California, Berkeley

    Berkeley, United States

    17 h-index

    28 publications

    4.2K citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    13 h-index

    23 publications

    3K citations

  3. Harbin Institute of Technology

    Harbin, China

    11 h-index

    25 publications

    631 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    16 publications

    504 citations

  5. Laboratoire Jacques-Louis Lions

    Paris, France

    10 h-index

    10 publications

    642 citations

  6. Stanford University

    Stanford, United States

    9 h-index

    10 publications

    2K citations

  7. Texas A&M University

    College Station, United States

    9 h-index

    15 publications

    2.6K citations

  8. Tel Aviv University

    Tel Aviv, Israel

    9 h-index

    10 publications

    433 citations

1–8 of 932

Venues

  1. SIAM Journal on Numerical Analysis

    45 publications · 6.3K citations

    29

    h-index

  2. Mathematics of Computation

    MCOM · 26 publications · 1.5K citations

    19

    h-index

  3. arXiv (Cornell University)

    Repository · 19 publications · 995 citations

    14

    h-index

  4. 10

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 10 publications · 324 citations

    10

    h-index

1–5