Concepedia

Moreau Envelopes

Moreau Envelope is a convex regularization of a proper, lower semicontinuous function defined on a Hilbert space, obtained by infimal convolution with a quadratic penalty, thereby providing a smooth approximation that preserves the minimizers of the original function.

31

Publications

1.6K

Citations

70

Authors

51

Institutions

Publications per year

2017–2026

17

Variants

Moreau Envelope

Parents

Publications

31

Prox-regular functions in variational analysis

R. A. Poliquin, R. T. Rockafellar · Transactions of the American Mathematical Society · 1996 · 322 citations · Full text

, , +15

Personalized Federated Learning with Moreau Envelopes

Canh T. Dinh, Nguyen H. Tran, Tuan Dung Nguyen · arXiv (Cornell University) · 2020 · 214 citations · Full text

, , +8

Total Variation Denoising Via the Moreau Envelope

IEEE Signal Processing Letters · 2017 · 117 citations · Full text

, , +16

The Proximal Augmented Lagrangian Method for Nonsmooth Composite Optimization

IEEE Transactions on Automatic Control · 2018 · 102 citations · Full text

, , +16

Proximal Newton methods for convex composite optimization

Panagiotis Patrinos, Alberto Bemporad · 2013 · 72 citations

, , +16

1–5 of 31

Authors

70

  1. MY
    Masahiro Yukawa

    Keio University, Japan

    2 publications · 40 citations

    2

    h-index

  2. DD
    Dmitriy Drusvyatskiy

    University of Washington, United States

    2 publications · 63 citations

    2

    h-index

  3. DD
    Damek Davis

    Cornell University, United States

    2 publications · 63 citations

    2

    h-index

  4. RA
    R. A. Poliquin

    University of Alberta, Canada

    2 publications · 394 citations

    2

    h-index

  5. IY
    Isao Yamada

    Kyoto University, Japan

    2 publications · 41 citations

    2

    h-index

1–5 of 70

Institutions

51

  1. University of British Columbia, Okanagan Campus

    Kelowna, Canada

    3 h-index

    4 publications

    127 citations

  2. Université de Montpellier

    Montpellier, France

    2 h-index

    2 publications

    60 citations

  3. University of Alberta

    Edmonton, Canada

    2 h-index

    2 publications

    394 citations

  4. Tokyo Institute of Technology

    Tokyo, Japan

    2 h-index

    11 publications

    221 citations

  5. Keio University

    Tokyo, Japan

    2 h-index

    4 publications

    82 citations

  6. Okanagan University College

    Kelowna, Canada

    2 h-index

    3 publications

    94 citations

  7. University of British Columbia

    Vancouver, Canada

    2 h-index

    2 publications

    71 citations

  8. University of Vienna

    Vienna, Austria

    2 h-index

    3 publications

    53 citations

1–8 of 51

Venues

  1. arXiv (Cornell University)

    Repository · 6 publications · 325 citations

    6

    h-index

  2. SIAM Journal on Optimization

    5 publications · 172 citations

    5

    h-index

  3. IEEE Signal Processing Letters

    1 publications · 117 citations

    1

    h-index

  4. 1

    h-index

  5. Mechanical Systems and Signal Processing

    MSSP · 1 publications · 54 citations

    1

    h-index

1–5