Publications

📄 Research Papers

(43) Garrigos, G.; Cortild, D.; Ketels, L.; Peypouquet, J. Last-Iterate Complexity of SGD for Convex and Smooth Stochastic Problems. [PREPRINT]  

(42) Wang, Z.; Peypouquet, J. Convergence Rate Analysis for Monotone Accelerated Proximal Gradient Method.  [PREPRINT]

(41) Maulén, J.; Guo, H.; Peypouquet, J. A continuous-time model to interpolate between speed and function value restart in accelerated first order methods. [PREPRINT]

(40) Cortild, D.; Ketels, L.; Peypouquet, J.; Garrigos, G. New Tight Bounds for SGD without Variance Assumption: A Computer-Aided Lyapunov Analysis. [PREPRINT]

(39) Qu, S.; Staudigl, M.; Peypouquet, J. Asymptotic behavior of penalty dynamics for constrained variational inequalities. [PREPRINT]

(38) Wang, Z.; Peypouquet, J. Fast convex optimization via inertial systems with asymptotically vanishing viscosity and Hessian-driven damping.  [PREPRINT]

(37) Apidopoulos, V.; Molinari, C.; Peypouquet, J.; Villa, S. Preconditioned primal-dual dynamics in convex optimization: non-ergodic convergence rates. [PREPRINT]

(36) Wang, Z.; Peypouquet, J. Accelerated Gradient Methods via Inertial Systems with Hessian-driven Damping. [PREPRINT]

(35) Guo, H.; Maulén, J.; Peypouquet, J. A Speed Restart Scheme for a Dynamical System with Hessian-driven Damping. To appear in Communications in Optimization Theory. [PREPRINT]

(35) Cortild, D.; Delplancke, C.; Oudjane, N.; Peypouquet, J. Global Optimization Algorithm through High-Resolution Sampling [Open Access]. Transactions on Machine Learning Research (2025).

(34) Cortild, D.; Peypouquet, J. Krasnoselskii-Mann Iterations: Inertia, Perturbations and Approximation [Open Access]. Journal of Optimization Theory and Applications 240, 35 (2025).

(33) Fierro, J.; Maulén, J.; Peypouquet, J. Inertial Krasnoselskii-Mann iterations [Open Access]. Set-Valued Var. Anal 32, 10 (2024).

(32) Maulén, J.; Peypouquet, J. A speed restart scheme for a dynamics with Hessian-driven damping [Open Access]. Journal of Optimization Theory and Applications  199, 831–855 (2023). 

(31) Dunstan, J.; Villena, F.; Hoyos, J.P.; Riquelme, V.; Royer, M.; Ramírez, H.; Peypouquet, J. Predicting no-show appointments in a pediatric hospital in Chile using machine learning [Open Access]. Health Care Management Science 26, 313-329 (2023). 

(30) Contreras, A.; Peypouquet, J. Forward-backward approximation of nonlinear semigroups in finite and infinite horizon. Communications on Pure and Applied Analysis 20 (2021), no. 5, 1893-1906. [PREPRINT]

(29) Molinari, C; Peypouquet, J.; Roldán, F. Alternating forward-backward splitting for linearly constrained optimization problems. Optimization Letters 14 (2020), 1071-1088. [PREPRINT]

(28) Attouch, H.; Peypouquet, J. Convergence rate of proximal inertial algorithms associated with Moreau envelopes of convex functions. In: Bauschke H., Burachik R., Luke D. (eds) Splitting Algorithms, Modern Operator Theory, and Applications (2019). Springer, Cham. [PREPRINT]

(27) Contreras, A.; Peypouquet, J. Asymptotic equivalence of evolution equations governed by cocoercive operators and their forward discretizations. Journal of Optimization Theory & Applications 182 (2019), no. 1, 30-48. [PREPRINT]

(26) Attouch, H.; Peypouquet, J. Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators. Mathematical Programming 174 (2019), no. 1-2, 391-432. [PREPRINT]

(25) Molinari, C; Peypouquet, J. Lagrangian penalization scheme with parallel forward-backward splitting. Journal of Optimization Theory & Applications 177 (2018), no. 2, 413-447. [PREPRINT] 

(24) Attouch, H.; Chbani, Z.; Peypouquet, J.; Redont, P. Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity. Mathematical Programming 168 (2018), no. 1-2, 123-175. [PREPRINT]

(23) Attouch, H.; Peypouquet, J.; Redont, P. Backward-forward algorithms for structured monotone inclusions in Hilbert spaces. Journal of Mathematical Analysis and Applications 457 (2018), no. 2, 1095-1117. [PREPRINT]

(22) Lazar, M.; Molinari, C; Peypouquet, J. Optimal Control of parabolic equations by spectral decomposition. Optimization 66 (2017), no. 8, 1359-1381. [PREPRINT]

(21) Bolte, J.; Nguyen, T.-P.; Peypouquet, J.; Suter, B. From error bounds to the complexity of first-order descent methods for convex functions. Mathematical Programming 165 (2017), no. 2, 471-507. [PREPRINT]

(20) Attouch, H.; Peypouquet, J.; Redont, P. Fast convex optimization via inertial dynamics with Hessian driven damping. Journal of Differential Equations 261 (2016), no. 10, 5734-5783. [PREPRINT]

(19) Attouch, H; Peypouquet, J. The rate of convergence of Nesterov’s accelerated forward-backward method is actually faster than $1/k^2$. SIAM Journal on Optimization 26 (2016), no. 3, 1824-1834. [PREPRINT]

(18) Czarnecki, M.-O.; Noun, N.; Peypouquet, J. Splitting forward-backward penalty scheme for constrained variational problems. Journal of Convex Analysis 23 (2016), no. 2, 531-565. [PREPRINT]

(17) Jélvez, E.; Morales, N.; Nancel-Penard, P.; Peypouquet, J; Reyes, P. Aggregation heuristic for the open-pit block scheduling problem. European Journal of Operational Research 249 (2016), no. 3, 1169-1177. [PREPRINT]

(16) Gajardo, P.; Morales, C.; Peypouquet, J. Monotonicity beyond Minty and Kato on locally convex spaces. Journal of Mathematical Analysis and Applications 435 (2016), no. 2, 1701-1709. [PREPRINT]

(15) Briceño-Arias, L.-M.; Hoang, N.-D.; Peypouquet, J. Existence, stability and optimality for optimal control problems governed by maximal monotone operators. Journal of Differential Equations 260 (2016), no. 1, 733-757. [PREPRINT]

(14) Frankel, P.; Garrigos, G.; Peypouquet, J. Splitting methods with variable metric for KL functions and general convergence rates. Journal of Optimization Theory & Applications 165 (2015), no. 3, 874-900. [PREPRINT]

(13) Attouch, H.; Peypouquet, J.; Redont, P. A dynamical approach to an inertial forward-backward algorithm for convex minimization. SIAM Journal on Optimization 24 (2014), no. 1, 232-256. [PREPRINT]

(12) Noun, N.; Peypouquet, J. Forward-backward penalty scheme for constrained convex minimization without inf-compactness. Journal of Optimization Theory & Applications 158 (2013), no. 3, 787-795. [PREPRINT]

(11) Frankel, P.; Peypouquet, J. Lagrangian-penalization algorithm for constrained optimization and variational inequalities. Set-Valued and Variational Analysis 20 (2012), no. 2, 169-185. [PREPRINT]

(10) Peypouquet, J. Coupling the gradient method with a general exterior penalization scheme for convex minimization. Journal of Optimization Theory & Applications 153 (2012), no. 1, 123-138. [PREPRINT]

(9) Attouch, H.; Czarnecki, M.O.; Peypouquet, J. Coupling forward-backward with penalty schemes and parallel splitting for constrained variational inequalities. SIAM Journal on Optimization 21 (2011), no. 4, 1251-1274. [PREPRINT]

(8) Attouch, H.; Cabot, A.; Frankel, P.; Peypouquet, J. Alternating proximal algorithms for constrained variational inequalities. Application to domain decomposition for PDE’s. Nonlinear Analysis: Theory, Methods & Applications 74 (2011), no. 18, 7455-7473. [PREPRINT]

(7) Álvarez F.; Peypouquet, J. A unified approach to the asymptotic almost-equivalence of evolution systems without Lipschitz conditions. Nonlinear Analysis: Theory, Methods & Applications 74 (2011), no. 11, 3440-3444. [PREPRINT]

(6) Attouch, H.; Czarnecki, M.O.; Peypouquet, J. Prox-penalization and splitting methods for constrained variational problems. SIAM Journal on Optimization 21 (2011), no. 1, 149-173. [PREPRINT]

(5) Álvarez F.; Peypouquet, J. Asymptotic almost-equivalence of Lipschitz evolution systems in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications 73 (2010), no. 9, 3018-3033. [PREPRINT]

(4) Peypouquet, J.; Sorin, S. Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time. Journal of Convex Analysis 17 (2010), no. 3-4, 1113-1163. [PREPRINT]

(3) Álvarez, F.; Peypouquet, J. Asymptotic equivalence and Kobayashi-type estimates for nonautonomous monotone operators in Banach spaces. Discrete and Continuous Dynamical Systems 25 (2009), no. 4, 1109-1128. [PREPRINT]

(2) Peypouquet, J. Asymptotic convergence to the optimal value of diagonal proximal iterations in convex minimization. Journal of Convex Analysis 16 (2009), no. 1, 277-286. [PREPRINT]

(1) Cominetti, R.; Peypouquet, J.; Sorin, S. Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization. Journal of Differential Equations 245 (2008), no. 12, 3753-3763. [PREPRINT]