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1

Proximal alternating linearized minimization for nonconvex and nonsmooth problems

Jérôme Bolte, Shoham Sabach, Marc Teboulle

Journal:

Mathematical Programming

Year:

2014

Language:

english

File:

PDF, 366 KB

english, 2014

2

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods

Hedy Attouch, Jérôme Bolte, Benar Fux Svaiter

Journal:

Mathematical Programming

Year:

2013

Language:

english

File:

PDF, 388 KB

english, 2013

3

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

Attouch, Hédy, Bolte, Jérôme, Redont, Patrick, Soubeyran, Antoine

Journal:

Mathematics of Operations Research

Year:

2010

Language:

english

File:

PDF, 357 KB

english, 2010

4

A nonsmooth Morse–Sard theorem for subanalytic functions

Jérôme Bolte, Aris Daniilidis, Adrian Lewis

Journal:

Journal of Mathematical Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 135 KB

english, 2006

5

Barrier Operators and Associated Gradient-Like Dynamical Systems for Constrained Minimization Problems

Bolte, Jérôme, Teboulle, Marc

Journal:

SIAM Journal on Control and Optimization

Year:

2003

Language:

english

File:

PDF, 279 KB

english, 2003

6

Characterizations of Łojasiewicz inequalities: Subgradient flows, talweg, convexity

Bolte, Jérôme, Daniilidis, Aris, Ley, Olivier, Mazet, Laurent

Journal:

Transactions of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 593 KB

english, 2009

7

Hessian Riemannian Gradient Flows in Convex Programming

Alvarez, Felipe, Bolte, Jérôme, Brahic, Olivier

Journal:

SIAM Journal on Control and Optimization

Year:

2004

Language:

english

File:

PDF, 317 KB

english, 2004

8

The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

Bolte, Jérôme, Daniilidis, Aris, Lewis, Adrian

Journal:

SIAM Journal on Optimization

Year:

2007

Language:

english

File:

PDF, 230 KB

english, 2007

9

On damped second-order gradient systems

Bégout, Pascal, Bolte, Jérôme, Jendoubi, Mohamed Ali

Journal:

Journal of Differential Equations

Year:

2015

Language:

english

File:

PDF, 459 KB

english, 2015

10

Definable Zero-Sum Stochastic Games

Bolte, Jérôme, Gaubert, Stéphane, Vigeral, Guillaume

Journal:

Mathematics of Operations Research

Year:

2015

Language:

english

File:

PDF, 349 KB

english, 2015

11

A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications

Bauschke, Heinz H., Bolte, Jérôme, Teboulle, Marc

Journal:

Mathematics of Operations Research

Year:

2016

Language:

english

File:

PDF, 308 KB

english, 2016

12

From error bounds to the complexity of first-order descent methods for convex functions

Bolte, Jérôme, Nguyen, Trong Phong, Peypouquet, Juan, Suter, Bruce W.

Journal:

Mathematical Programming

Year:

2016

Language:

english

File:

PDF, 678 KB

english, 2016

13

First Order Methods Beyond Convexity and Lipschitz Gradient Continuity with Applications to Quadratic Inverse Problems

Bolte, Jérôme, Sabach, Shoham, Teboulle, Marc, Vaisbourd, Yakov

Journal:

SIAM Journal on Optimization

Year:

2018

Language:

english

File:

PDF, 401 KB

english, 2018

14

The multiproximal linearization method for convex composite problems

Bolte, Jérôme, Chen, Zheng, Pauwels, Edouard

Journal:

Mathematical Programming

Year:

2019

Language:

english

File:

PDF, 877 KB

english, 2019

15

On Linear Convergence of Non-Euclidean Gradient Methods without Strong Convexity and Lipschitz Gradient Continuity

Bauschke, Heinz H., Bolte, Jérôme, Chen, Jiawei, Teboulle, Marc, Wang, Xianfu

Journal:

Journal of Optimization Theory and Applications

Year:

2019

Language:

english

File:

PDF, 347 KB

english, 2019

16

Tame functions are semismooth

Jérôme Bolte, Aris Daniilidis, Adrian Lewis

Journal:

Mathematical Programming

Year:

2009

Language:

english

File:

PDF, 195 KB

english, 2009

17

On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

Hedy Attouch, Jérôme Bolte

Journal:

Mathematical Programming

Year:

2009

Language:

english

File:

PDF, 178 KB

english, 2009

18

The Roles of the Hip, Spine, Sacroiliac Joint, and Other Structures in Patients with Persistent Pain after Back Surgery

Patrick M. Bolt, Melvin M. Wahl, Jerome Schofferman

Journal:

Seminars in Spine Surgery

Year:

2008

Language:

english

File:

PDF, 109 KB

english, 2008

19

Cost-effectiveness of fibronectin testing in a triage in women with threatened preterm labor: alleviation of pregnancy outcome by suspending tocolysis in early labor (APOSTEL-I trial)

Jolande Y Vis, Femke F Wilms, Martijn A Oudijk, Martina M Porath, Hubertina CJ Scheepers, Kitty WM Bloemenkamp, Annemiek C Bolte, Jérôme Cornette, Jan B Derks, Johannes J Duvekot, Jim van Eyck, Anneke

Journal:

BMC Pregnancy and Childbirth

Year:

2009

Language:

english

File:

PDF, 252 KB

english, 2009

20

Assessment of perinatal outcome after sustained tocolysis in early labour (APOSTEL-II trial)

Carolien Roos, Liesbeth HCJ Scheepers, Kitty WM Bloemenkamp, Annemiek Bolte, Jerome Cornette, Jan B Derks, Hans JJ Duvekot, Jim van Eyck, Joke H Kok, Anneke Kwee, Ashley Merién, Brent C Opmeer, Mariël

Journal:

BMC Pregnancy and Childbirth

Year:

2009

Language:

english

File:

PDF, 228 KB

english, 2009

21

Design of a multicenter trial to evaluate long-term life-style intervention in adults with high-normal blood pressure levels: Trials of hypertension prevention (phase II)

Patricia R. Hebert, Robert J. Bolt, Nemat O. Borhani, Nancy R. Cook, Jerome D. Cohen, Jeffrey A. Cutler, Jack F. Hollis, Lewis H. Kuller, Norman L. Lasser, Albert Oberman, Stephen T. Miller, Cynthia M

Journal:

Annals of Epidemiology

Year:

1995

Language:

english

File:

PDF, 1.19 MB

english, 1995

22

Antagonistic interaction between MAP kinase and protein phosphatase 2C in stress recovery

Jeffrey Leung, Sofia Orfanidi, Françoise Chefdor, Tamás Mészaros, Susanne Bolte, Tsuyoshi Mizoguchi, Kazuo Shinozaki, Jérôme Giraudat, Laszlo Bögre

Journal:

Year:

2006

Language:

english

File:

PDF, 828 KB

english, 2006

23

Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems

Felipe Álvarez, Jérôme Bolte, J. Frédéric Bonnans, Francisco J. Silva

Journal:

Mathematical Programming

Year:

2012

Language:

english

File:

PDF, 457 KB

english, 2012

24

Generic Optimality Conditions for Semialgebraic Convex Programs

Bolte, Jérôme, Daniilidis, Aris, Lewis, Adrian S.

Journal:

Mathematics of Operations Research

Year:

2011

Language:

english

File:

PDF, 284 KB

english, 2011

25

Clarke Subgradients of Stratifiable Functions

Bolte, Jérôme, Daniilidis, Aris, Lewis, Adrian, Shiota, Masahiro

Journal:

SIAM Journal on Optimization

Year:

2007

Language:

english

File:

PDF, 228 KB

english, 2007

26

Effect of Maintenance Tocolysis With Nifedipine in Threatened Preterm Labor on Perinatal Outcomes

Roos, Carolien, Spaanderman, Marc E. A., Schuit, Ewoud, Bloemenkamp, Kitty W. M., Bolte, Antoinette C., Cornette, Jérôme, Duvekot, Johannes J. J., van Eyck, Jim, Franssen, Maureen T. M., de Groot, Chr

Journal:

JAMA The Journal of the American Medical Association

Year:

2013

Language:

english

File:

PDF, 233 KB

english, 2013

27

Corrigendum to “On damped second-order gradient systems” [J. Differential Equations 259 (7) (2015) 3115–3143]

Bégout, Pascal, Bolte, Jérôme, Jendoubi, Mohamed Ali

Journal:

Journal of Differential Equations

Year:

2015

File:

PDF, 129 KB

2015

28

Majorization-Minimization Procedures and Convergence of SQP Methods for Semi-Algebraic and Tame Programs

Bolte, Jérôme, Pauwels, Edouard

Journal:

Mathematics of Operations Research

Year:

2016

Language:

english

File:

PDF, 360 KB

english, 2016

29

Error estimates for the solution of a control constrained Optimal Control Problem with interior penalties

ÁLVAREZ, Felipe, BOLTE, Jérôme, BONNANS, J. Frédéric, SILVA, Francisco J.

Journal:

IFAC Proceedings Volumes

Year:

2009

Language:

english

File:

PDF, 139 KB

english, 2009

30

Effect of Maintenance Tocolysis With Nifedipine in Threatened Preterm Labor on Perinatal Outcomes

Roos, Carolien, Spaanderman, Marc E. A., Schuit, Ewoud, Bloemenkamp, Kitty W. M., Bolte, Antoinette C., Cornette, Jérôme, Duvekot, Johannes J. J., van Eyck, Jim, Franssen, Maureen T. M., de Groot, Chr

Journal:

Obstetric and Gynecologic Survey

Year:

2013

Language:

english

File:

PDF, 320 KB

english, 2013

31

Researcher’s Dilemma*

Bobtcheff, Catherine, Bolte, Jérôme, Mariotti, Thomas

Journal:

Review of Economic Studies

Year:

2016

Language:

english

File:

PDF, 511 KB

english, 2016

32

Nonconvex Lagrangian-Based Optimization: Monitoring Schemes and Global Convergence

Bolte, Jérôme, Sabach, Shoham, Teboulle, Marc

Journal:

Mathematics of Operations Research

Year:

2018

Language:

english

File:

PDF, 612 KB

english, 2018

33

A family of functional inequalities: Łojasiewicz inequalities and displacement convex functions

Blanchet, Adrien, Bolte, Jérôme

Journal:

Journal of Functional Analysis

Year:

2018

Language:

english

File:

PDF, 324 KB

english, 2018

34

Qualification Conditions in Semialgebraic Programming

Bolte, Jérôme, Hochart, Antoine, Pauwels, Edouard

Journal:

SIAM Journal on Optimization

Year:

2018

Language:

english

File:

PDF, 484 KB

english, 2018