Concepedia

Epigraph Formulation

Epigraph Formulation is a mathematical modeling framework in convex optimization that represents an optimization problem by introducing an auxiliary variable to express the objective function as a constraint, thereby transforming the original problem into an equivalent form where the epigraph—the set of points lying on or above the graph of the objective function—is explicitly incorporated into the feasible set.

50

Publications

2.4K

Citations

111

Authors

65

Institutions

Publications per year

2017–2026

15

Parents

Publications

50

Art and objecthood: essays and reviews

Choice Reviews Online · 1998 · 364 citations

, , +14

First- and second-order epi-differentiability in nonlinear programming

R. T. Rockafellar · Transactions of the American Mathematical Society · 1988 · 201 citations · Full text

, , +16

Art and Objecthood: Essays and Reviews

David Grubbs, Michael Fried · Chicago Review · 1998 · 176 citations

, , +14

Epi‐consistency of convex stochastic programs

Alan J. King, Roger J.‐B. Wets · Stochastics and stochastics reports · 1991 · 144 citations · Full text

, , +12

Distributed Convex Optimization with Inequality Constraints over Time-Varying Unbalanced Digraphs

Pei Xie, Keyou You, Roberto Tempo et al. · IEEE Transactions on Automatic Control · 2018 · 136 citations

, , +13

1–5 of 50

Authors

111

  1. AE
    A. Enis Çetin

    Bilkent University, Türkiye

    4 publications · 104 citations

    4

    h-index

  2. MT
    Mohammad Tofighi

    Bilkent University, Türkiye

    4 publications · 104 citations

    4

    h-index

  3. FB
    Frédéric Bernard

    Inserm, France

    2 publications · 44 citations

    2

    h-index

  4. RT
    R. T. Rockafellar

    University of Washington, United States

    2 publications · 221 citations

    2

    h-index

  5. YC
    Yuxiao Chen

    California Institute of Technology, United States

    2 publications · 41 citations

    2

    h-index

1–5 of 111

Institutions

65

  1. Bilkent University

    Ankara, Türkiye

    4 h-index

    15 publications

    375 citations

  2. Laboratoire d'Informatique Gaspard-Monge

    Champs-sur-Marne, France

    2 h-index

    2 publications

    125 citations

  3. Alexandru Ioan Cuza University

    Iasi, Romania

    2 h-index

    2 publications

    38 citations

  4. École Normale Supérieure de Lyon

    Lyon, France

    2 h-index

    2 publications

    125 citations

  5. Laboratoire Traitement et Communication de l’Information

    Palaiseau, France

    2 h-index

    4 publications

    250 citations

  6. Tsinghua University

    Beijing, China

    2 h-index

    5 publications

    574 citations

  7. Université de Montpellier

    Montpellier, France

    2 h-index

    4 publications

    88 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    5 publications

    436 citations

1–8 of 65

Venues

  1. Optimization

    4 publications · 79 citations

    4

    h-index

  2. SIAM Journal on Optimization

    4 publications · 224 citations

    4

    h-index

  3. Mathematical Programming

    3 publications · 105 citations

    3

    h-index

  4. 2

    h-index

  5. Choice Reviews Online

    CRO · 2 publications · 383 citations

    2

    h-index

1–5