iPiano: Inertial Proximal Algorithm for Nonconvex Optimization

Peter Ochs; Yunjin Chen; Thomas Brox; Thomas Pock

doi:10.1137/130942954

iPiano: Inertial Proximal Algorithm for Nonconvex Optimization

SIAM Journal on Imaging Sciences ◽

10.1137/130942954 ◽

2014 ◽

Vol 7 (2) ◽

pp. 1388-1419 ◽

Cited By ~ 148

Author(s):

Peter Ochs ◽

Yunjin Chen ◽

Thomas Brox ◽

Thomas Pock

Keyword(s):

Nonconvex Optimization ◽

Proximal Algorithm ◽

Inertial Proximal Algorithm

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Convergence of a relaxed inertial proximal algorithm for maximally monotone operators

Mathematical Programming ◽

10.1007/s10107-019-01412-0 ◽

2019 ◽

Vol 184 (1-2) ◽

pp. 243-287 ◽

Cited By ~ 9

Author(s):

Hedy Attouch ◽

Alexandre Cabot

Keyword(s):

Monotone Operators ◽

Proximal Algorithm ◽

Inertial Proximal Algorithm ◽

Maximally Monotone Operators

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An Inertial Proximal Algorithm with Non-Monotone Line Search for Non-Convex Optimization

Advances in Applied Mathematics ◽

10.12677/aam.2021.103080 ◽

2021 ◽

Vol 10 (03) ◽

pp. 732-739

Author(s):

海玉刘

Keyword(s):

Convex Optimization ◽

Line Search ◽

Proximal Algorithm ◽

Inertial Proximal Algorithm

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Hybrid inertial proximal algorithm for the split variational inclusion problem in Hilbert spaces with applications

Optimization ◽

10.1080/02331934.2017.1306744 ◽

2017 ◽

Vol 66 (5) ◽

pp. 777-792 ◽

Cited By ~ 9

Author(s):

Chih-Sheng Chuang

Keyword(s):

Hilbert Spaces ◽

Variational Inclusion ◽

Inclusion Problem ◽

Proximal Algorithm ◽

Split Variational Inclusion Problem ◽

Variational Inclusion Problem ◽

Inertial Proximal Algorithm

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An Inertial Tseng’s Type Proximal Algorithm for Nonsmooth and Nonconvex Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-015-0730-z ◽

2015 ◽

Vol 171 (2) ◽

pp. 600-616 ◽

Cited By ~ 35

Author(s):

Radu Ioan Boţ ◽

Ernö Robert Csetnek

Keyword(s):

Nonconvex Optimization ◽

Optimization Problems ◽

Proximal Algorithm ◽

Nonconvex Optimization Problems ◽

Nonsmooth And Nonconvex Optimization

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An Inertial Proximal Algorithm with Dry Friction: Finite Convergence Results

Set-Valued Analysis ◽

10.1007/s11228-005-0002-4 ◽

2006 ◽

Vol 14 (1) ◽

pp. 1-23 ◽

Cited By ~ 10

Author(s):

Bruno Baji ◽

Alexandre Cabot

Keyword(s):

Dry Friction ◽

Finite Convergence ◽

Proximal Algorithm ◽

Convergence Results ◽

Inertial Proximal Algorithm

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Inertial proximal algorithm for difference of two maximal monotone operators

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-015-0162-3 ◽

2016 ◽

Vol 47 (1) ◽

pp. 1-8

Author(s):

M. Alimohammady ◽

M. Ramazannejad

Keyword(s):

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Proximal Algorithm ◽

Inertial Proximal Algorithm

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iPiasco: Inertial Proximal Algorithm for Strongly Convex Optimization

Journal of Mathematical Imaging and Vision ◽

10.1007/s10851-015-0565-0 ◽

2015 ◽

Vol 53 (2) ◽

pp. 171-181 ◽

Cited By ~ 36

Author(s):

Peter Ochs ◽

Thomas Brox ◽

Thomas Pock

Keyword(s):

Convex Optimization ◽

Proximal Algorithm ◽

Strongly Convex ◽

Inertial Proximal Algorithm ◽

Strongly Convex Optimization

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Discrete Nonlinear Oscillator Dynamical System and the Inertial Proximal Algorithm

Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces ◽

10.1201/9780429156908-9 ◽

2019 ◽

pp. 207-218

Author(s):

Behzad Djafari-Rouhani ◽

Hadi Khatibzadeh

Keyword(s):

Dynamical System ◽

Nonlinear Oscillator ◽

Proximal Algorithm ◽

Inertial Proximal Algorithm

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Convergence rate of a relaxed inertial proximal algorithm for convex minimization

Optimization ◽

10.1080/02331934.2019.1696337 ◽

2019 ◽

Vol 69 (6) ◽

pp. 1281-1312 ◽

Cited By ~ 1

Author(s):

Hedy Attouch ◽

Alexandre Cabot

Keyword(s):

Convergence Rate ◽

Convex Minimization ◽

Proximal Algorithm ◽

Inertial Proximal Algorithm

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On inertial proximal algorithm for split variational inclusion problems

Optimization ◽

10.1080/02331934.2018.1486838 ◽

2018 ◽

Vol 67 (10) ◽

pp. 1701-1716 ◽

Cited By ~ 4

Author(s):

Prashanta Majee ◽

Chandal Nahak

Keyword(s):

Variational Inclusion ◽

Proximal Algorithm ◽

Inclusion Problems ◽

Inertial Proximal Algorithm

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