Concepedia

Supporting Hyperplanes

Supporting Hyperplanes is a fundamental concept in convex analysis denoting a hyperplane that touches the boundary of a convex set at a given point such that the entire set lies on one side of the hyperplane.

244

Publications

11.5K

Citations

390

Authors

247

Institutions

Publications per year

2017–2026

26

Variants

Supporting Hyperplane

Parents

Publications

244

The Geometry of Mixture Likelihoods: A General Theory

Bruce G. Lindsay · The Annals of Statistics · 1983 · 642 citations · Full text

, , +16

Maximum Margin Clustering

Linli Xu, James Neufeld, Bryce Larson et al. · 2004 · 457 citations

, , +16

Strong and Weak Convexity of Sets and Functions

Jean-Philippe Vial · Mathematics of Operations Research · 1983 · 446 citations

, , +16

Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens.

Eugenio Calabi · The Michigan Mathematical Journal · 1958 · 346 citations · Full text

, , +12

Support Vector Ordinal Regression

Wei Chu, S. Sathiya Keerthi · Neural Computation · 2007 · 318 citations

, , +14

1–5 of 244

Authors

390

  1. MR
    Min Ru

    University of Houston, United States

    4 publications · 119 citations

    4

    h-index

  2. AP
    Antonio Pasini

    University of Siena, Italy

    4 publications · 72 citations

    4

    h-index

  3. SD
    Si Duc Quang

    Hanoi National University of Education, Vietnam

    4 publications · 70 citations

    4

    h-index

  4. GJ
    G.R. Jahanshahloo

    Islamic Azad University, Science and Research Branch, Iran

    4 publications · 130 citations

    4

    h-index

  5. HT
    Hiroaki Terao

    University of Wisconsin–Madison, United States

    3 publications · 254 citations

    3

    h-index

1–5 of 390

Institutions

247

  1. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    9 publications

    200 citations

  2. University of Washington

    Seattle, United States

    5 h-index

    6 publications

    256 citations

  3. Hanoi National University of Education

    Hanoi, Vietnam

    5 h-index

    6 publications

    117 citations

  4. Ghent University

    Ghent, Belgium

    4 h-index

    5 publications

    101 citations

  5. Åbo Akademi University

    Turku, Finland

    4 h-index

    8 publications

    286 citations

  6. New York University

    New York, United States

    4 h-index

    6 publications

    374 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    5 publications

    105 citations

  8. Courant Institute of Mathematical Sciences

    New York, United States

    4 h-index

    5 publications

    310 citations

1–8 of 247

Venues

  1. Discrete & Computational Geometry

    11 publications · 341 citations

    11

    h-index

  2. Pacific Journal of Mathematics

    9 publications · 465 citations

    9

    h-index

  3. Journal of Combinatorial Theory Series A

    8 publications · 212 citations

    8

    h-index

  4. Israel Journal of Mathematics

    6 publications · 195 citations

    6

    h-index

  5. Mathematische Annalen

    6 publications · 412 citations

    6

    h-index

1–5