Concepedia

Positive Definite Functions

Positive Definite Functions is a mathematical construct in harmonic analysis and probability theory defined as a complex-valued function on a group or vector space whose values satisfy the condition that the matrix formed by pairwise evaluations of the function is Hermitian and non-negative definite for any finite set of points.

629

Publications

43.8K

Citations

932

Authors

540

Institutions

Publications per year

2017–2026

65

Parents

Publications

629

Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

Holger Wendland · Advances in Computational Mathematics · 1995 · 3K citations

, , +3

XVI. Functions of positive and negative type, and their connection the theory of integral equations

James W. Mercer · Philosophical Transactions of the Royal Society of London Series A Containing Papers of a Mathematical or Physical Character · 1909 · 2K citations

, , +7

Kernel methods in machine learning

The Annals of Statistics · 2008 · 1.6K citations · Full text

, , +8

KERNEL METHODS IN MACHINE LEARNING

2008 · 1.4K citations

, , +8

Interpolation of scattered data: Distance matrices and conditionally positive definite functions

Charles A. Micchelli · Constructive Approximation · 1986 · 1.2K citations

, , +10

1–5 of 629

Authors

932

  1. V‎
    V‎. ‎A‎. Menegatto

    Universidade Federal de São Carlos, Brazil

    8 publications · 274 citations

    8

    h-index

  2. TG
    Tilmann Gneiting

    University of Washington, United States

    6 publications · 534 citations

    6

    h-index

  3. XS
    Xingping Sun

    Missouri State University, United States

    6 publications · 237 citations

    6

    h-index

  4. AK
    Alexander Koldobsky

    University of Missouri, United States

    5 publications · 337 citations

    5

    h-index

  5. CR
    Charles R. Johnson

    William & Mary, United States

    5 publications · 97 citations

    5

    h-index

1–5 of 932

Institutions

540

  1. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    8 publications

    600 citations

  2. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    6 h-index

    8 publications

    331 citations

  3. Missouri State University

    Springfield, United States

    6 h-index

    9 publications

    308 citations

  4. University of Copenhagen

    Copenhagen, Denmark

    5 h-index

    8 publications

    417 citations

  5. University of Toronto

    Toronto, Canada

    5 h-index

    9 publications

    1.5K citations

  6. University of Oregon

    Eugene, United States

    5 h-index

    9 publications

    428 citations

  7. University of Iowa

    Iowa City, United States

    5 h-index

    7 publications

    182 citations

  8. École Nationale Supérieure des Mines de Paris

    Paris, France

    5 h-index

    7 publications

    490 citations

1–8 of 540

Venues

  1. Pacific Journal of Mathematics

    17 publications · 538 citations

    16

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 22 publications · 1.5K citations

    16

    h-index

  3. IEEE Transactions on Automatic Control

    13 publications · 613 citations

    13

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 17 publications · 669 citations

    13

    h-index

  5. Linear Algebra and its Applications

    13 publications · 544 citations

    13

    h-index

1–5