Concepedia

Separating Hyperplane Theorems

Separating Hyperplane Theorems is a fundamental theoretical framework in convex analysis that establishes conditions under which two disjoint convex sets in a real vector space can be strictly separated by a hyperplane, thereby enabling the characterization of optimal solutions in convex optimization and economic equilibrium models.

194

Publications

9.5K

Citations

329

Authors

217

Institutions

Publications per year

2017–2026

14

Variants

Separating Hyperplane Theorem

Parents

Publications

194

On general minimax theorems

Maurice Sion · Pacific Journal of Mathematics · 1958 · 1.9K citations · Full text

, , +11

Nonconvex separation theorems and some applications in vector optimization

Christiane Gerth, Petra Weidner · Journal of Optimization Theory and Applications · 1990 · 399 citations

, , +11

Further Results on the Cross Norm Criterion for Separability

Oliver Rudolph · Quantum Information Processing · 2005 · 327 citations · Full text

, , +4

An improved definition of proper efficiency for vector maximization with respect to cones

Harold P. Benson · Journal of Mathematical Analysis and Applications · 1979 · 283 citations

, , +15

Linear separability in classification learning.

Douglas L. Medin, Paula J. Schwanenflugel · Journal of Experimental Psychology Human Learning & Memory · 1981 · 254 citations

, , +10

1–5 of 194

Authors

329

  1. IS
    Ivan Singer

    Romanian Academy, Romania

    5 publications · 79 citations

    5

    h-index

  2. WS
    William Steiger

    Rutgers, The State University of New Jersey, United States

    3 publications · 60 citations

    3

    h-index

  3. PJ
    Paula J. Schwanenflugel

    University of Georgia, United States

    2 publications · 289 citations

    2

    h-index

  4. AK
    Alexander Koldobsky

    University of Missouri, United States

    2 publications · 42 citations

    2

    h-index

  5. EL
    Elon L. Lima

    Columbia University, United States

    2 publications · 72 citations

    2

    h-index

1–5 of 329

Institutions

217

  1. Carnegie Mellon University

    Pittsburgh, United States

    6 h-index

    9 publications

    224 citations

  2. Cornell University

    Ithaca, United States

    4 h-index

    5 publications

    210 citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    5 publications

    97 citations

  4. University of Wisconsin–Madison

    Madison, United States

    3 h-index

    5 publications

    444 citations

  5. Chongqing University

    Chongqing, China

    3 h-index

    7 publications

    127 citations

  6. Rutgers, The State University of New Jersey

    New Brunswick, United States

    3 h-index

    6 publications

    115 citations

  7. University of Ottawa

    Ottawa, Canada

    3 h-index

    3 publications

    49 citations

  8. University of Chile

    Santiago, Chile

    3 h-index

    4 publications

    114 citations

1–8 of 217

Venues

  1. Journal of Optimization Theory and Applications

    12 publications · 712 citations

    12

    h-index

  2. 10

    h-index

  3. Mathematical Programming

    9 publications · 336 citations

    9

    h-index

  4. European Journal of Operational Research

    7 publications · 267 citations

    7

    h-index

  5. Discrete & Computational Geometry

    7 publications · 187 citations

    7

    h-index

1–5