Alexandre Cabot

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Publications

Convergence of a relaxed inertial proximal algorithm for maximally monotone operators

Hedy Attouch , Alexandre Cabot
Mathematical Programming, 2020, 184 (1-2), pp.243-287. ⟨10.1007/s10107-019-01412-0⟩
Article dans une revue hal-03036039 v1

Convergence rate of a relaxed inertial proximal algorithm for convex minimization

Hedy Attouch , Alexandre Cabot
Optimization, 2020, 69 (6), pp.1281-1312. ⟨10.1080/02331934.2019.1696337⟩
Article dans une revue hal-02415789 v1

The attainment set of $\varphi$-envelope and genericity properties

Alexandre Cabot , Abderrahim Jourani , Lionel Thibault , Dariusz Zagrodny
Mathematica Scandinavica, 2019, 124 (2), pp.203-246. ⟨10.7146/math.scand.a-110766⟩
Article dans une revue hal-01666630 v1

Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions

Hedy Attouch , Alexandre Cabot
Applied Mathematics and Optimization, 2019, 80 (3), pp.547-598. ⟨10.1007/s00245-019-09584-z⟩
Article dans une revue hal-02173692 v1

Envelopes for sets and functions II: generalized polarity and conjugacy

Alexandre Cabot , Abderrahim Jourani , Lionel Thibault
Journal of Nonlinear and Convex Analysis, 2018, 19 (8), pp.1297-1318
Article dans une revue hal-01997447 v1

Convergence Rates of Inertial Forward-Backward Algorithms

Hedy Attouch , Alexandre Cabot
SIAM Journal on Optimization, 2018, 28 (1), pp.849-874. ⟨10.1137/17M1114739⟩
Article dans une revue hal-03552951 v1

Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient

Hedy Attouch , Alexandre Cabot , Zaki Chbani , Hassan Riahi
Evolution Equations and Control Theory, 2018, 7 (3), pp.353-371. ⟨10.3934/eect.2018018⟩
Article dans une revue hal-02072543 v1

Asymptotic behavior of nonautonomous monotone and subgradient evolution equations

Hedy Attouch , Alexandre Cabot , Marc-Olivier Czarnecki
Transactions of the American Mathematical Society, 2018, 370 (2), pp.755-790. ⟨10.1090/tran/6965⟩
Article dans une revue hal-01660954 v1

Inertial forward-backward algorithms with perturbations : application to Tikhonov regularization

Hedy Attouch , Alexandre Cabot , Zaki Chbani , Hassan Riahi
Journal of Optimization Theory and Applications, 2018, 179 (1), pp.1-36. ⟨10.1007/s10957-018-1369-3⟩
Article dans une revue hal-01996816 v1
Image document

Convergence of damped inertial dynamics governed by regularized maximally monotone operators

Hedy Attouch , Alexandre Cabot
Journal of Differential Equations, 2018, 264 (12), pp.7138-7182. ⟨10.1016/j.jde.2018.02.017⟩
Article dans une revue hal-01648383 v2

Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity

Hedy Attouch , Alexandre Cabot
Journal of Differential Equations, 2017, 263 (9), pp.5412 - 5458. ⟨10.1016/j.jde.2017.06.024⟩
Article dans une revue hal-01659446 v1

Envelopes for sets and functions: regularization and generalized conjugacy

Alexandre Cabot , Abderrahim Jourani , Lionel Thibault
Mathematika, 2017, 63 (02), pp.383 - 432. ⟨10.1112/S0025579316000309⟩
Article dans une revue hal-01514170 v1

Multivalued Exponentiation Analysis. Part III: Forward Exponentials

Alexandre Cabot , Alberto Seeger
Set-Valued and Variational Analysis, 2014, 22 (3), pp.617-638. ⟨10.1007/s11228-014-0273-8⟩
Article dans une revue hal-02187251 v1

Sequential formulae for the normal cone to sublevel sets

Lionel Thibault , Alexandre Cabot
Transactions of the American Mathematical Society, 2014, 366, pp.6591-6628. ⟨10.1090/S0002-9947-2014-06151-5⟩
Article dans une revue hal-02072992 v1
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Asymptotics for some semilinear hyperbolic equations with non-autonomous damping

Alexandre Cabot , Pierre Frankel
Journal of Differential Equations, 2012, 252, pp.294-322. ⟨10.1016/j.jde.2011.09.012⟩
Article dans une revue hal-00522943 v1
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Asymptotics for a gradient system with memory term

Alexandre Cabot
Proceedings of the American Mathematical Society, 2009, 137, pp.3013-3024. ⟨10.1090/S0002-9939-09-09910-9⟩
Article dans une revue hal-00333170 v1

Asymptotics for some vibro-impact problems with a linear dissipation term

Alexandre Cabot , Laetitia Paoli
Journal de Mathématiques Pures et Appliquées, 2007, 87 (3), pp.291-323. ⟨10.1016/j.matpur.2007.01.003⟩
Article dans une revue hal-02075061 v1

Multivalued Exponentiation Analysis. Part I: Maclaurin Exponentials

Alexandre Cabot , Alberto Seeger
Set-Valued Analysis, 2006, 14 (4), pp.347-379. ⟨10.1007/s11228-006-0019-3⟩
Article dans une revue istex hal-02179200 v1

An inertial proximal algorithm with dry friction: finite convergence results

Alexandre Cabot , Bruno Baji
Set Valued Analysis, 2006, 14, pp.1-23
Article dans une revue hal-00068884 v1

Multivalued Exponentiation Analysis. Part II: Recursive exponentials

Alexandre Cabot , Alberto Seeger
Set-Valued Analysis, 2006, 14 (4), pp.381-411. ⟨10.1007/s11228-006-0020-x⟩
Article dans une revue istex hal-02179206 v1

Asymptotic selection of viscosity equilibria of semilinear evolution equations by the introduction of a slowly vanishing term.

Alexandre Cabot , Felipe Alvarez
Discrete and Continuous Dynamical Systems - Series S, 2006, 15, pp.921-938
Article dans une revue hal-00068885 v1

Proximal point algorithm controlled by a slowly vanishing term. Applications to hierarchical minimization

Alexandre Cabot
SIAM Journal on Optimization, 2005, 15, pp.555-572
Article dans une revue hal-00068882 v1
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Inertial gradient-like dynamical system controlled by a stabilizing term

Alexandre Cabot
Journal of Optimization Theory and Applications, 2004, 120 (2), pp.275-303. ⟨10.1023/B:JOTA.0000015685.21638.8d⟩
Article dans une revue hal-00068878 v1

Steepest descent with curvature dynamical system

Alexandre Cabot , Felipe Alvarez
Journal of Optimization Theory and Applications, 2004, 120, pp.247-273
Article dans une revue hal-00068879 v1

Bounce law at the corners of convex billiards

Alexandre Cabot
Nonlinear Analysis: Theory, Methods and Applications, 2004, 57, pp.597-614
Article dans une revue hal-00068881 v1

The steepest descent dynamical system with control. Applications to constrained minimization

Alexandre Cabot
Control, Optimisation and Calculus of Variations, 2004, 10, pp.243-258
Article dans une revue hal-00068880 v1

Incomplete sensitivities and cost function reformulation leading to multi-criteria investigation of inverse problems

Alexandre Cabot , Bijan Mohammadi
Optimal Control Applications and Methods, 2003, 24, pp.73-84
Article dans une revue hal-00068531 v1

Asymptotic control of pairs of oscillators coupled by a repulsion, with non isolated equilibria I : the regular case

Alexandre Cabot , Marc-Olivier Czarnecki
SIAM Journal on Control and Optimization, 2002, 41, pp.1254-1280
Article dans une revue hal-00068877 v1

Second-order differential equations with asymptotically small dissipation and piecewise flat potentials

Alexandre Cabot , Hans Engler , Sébastien Gadat
Mississippi State--UAB Conference on Differential Equations and Computational Simulations, 2009, United States. pp.33-38
Communication dans un congrès hal-00628516 v1

On the asymptotic behavior of a system of steepest descent equations coupled by a vanishing mutual repulsion

Alexandre Cabot , Felipe Alvarez
Seeger A. Recent Advances in Optimization, Springer-Verlag, pp.3-17, 2006, Lectures Notes in Economics and Mathematical Systems N° 563
Chapitre d'ouvrage hal-00068883 v1
Image document

Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction

Samir Adly , Hedy Attouch , Alexandre Cabot
Nonsmooth Mechanics and Analysis, 12, pp.289-304, 2006, Advances in Mechanics and Mathematics, 9780387291963. ⟨10.1007/0-387-29195-4_24⟩
Chapitre d'ouvrage hal-00068295 v1