Preprints

  • L. M. Briceño-Arias and C. Vivar-Vargas, Projection onto cones generated by epigraphs of perspective functions, preprint, arXiv

To appear

  • L. M. Briceño-Arias, P. L. Combettes, and F. J. Silva, Perspective functions with nonlinear scaling, Commun. Contemp. Math., to appear arXiv
  • L. M. Briceño-Arias, S. López-Rivera, and E. Vilches, Splitting algorithms for distributionally robust optimization, J. Convex Anal., to appear arXiv

2024

  • L. M. Briceño-Arias, P. L. Combettes, and F. J. Silva, Proximity operators of perspective functions with nonlinear scaling, SIAM J. Optim., vol. 34, pp. 3212--3234, 2024. arXiv
  • L. M. Briceño-Arias and P. L. Combettes, A perturbation framework for convex minimization and monotone inclusion problems with nonlinear compositions, Math. Oper. Res., vol. 49, pp. 1890--1914, 2024. arXiv
  • L. M. Briceño-Arias and N. Pustelnik, Infimal post-composition approach for composite convex optimization. Application to image restoration, Signal Process., vol. 223, art. 109549, 2024. HAL
  • L. M. Briceño-Arias, F. J. Silva, and X. Yang, Forward-backward algorithm for functions with locally Lipschitz gradient: applications to mean field games, Set-Valued Var. Anal., vol. 32(2), art. 16, 2024. arXiv
  • L. M. Briceño-Arias and C. Vivar-Vargas, Enhanced computation of the proximity operator for perspective functions, J. Optim. Theory Appl., vol. 200, pp. 1078--1099, 2024. arXiv

2023

  • L. M. Briceño-Arias and N. Pustelnik, Theoretical and numerical comparison of first-order algorithms for cocoercive equations and smooth convex optimization, Signal Process., vol. 206, art. 108900, 2023. arXiv
  • L. M. Briceño-Arias, J. Deride, S. López Rivera, and F. J. Silva A Primal-dual partial inverse splitting for constrained monotone inclusions: applications to stochastic programming and mean field games, Appl. Math. Optim., vol. 87, art. 21, 36 pp., 2023. arXiv
  • L. M. Briceño-Arias and F. Roldán, Primal-dual splittings as fixed point iterations in the range of linear operators, J. Global Optim., vol. 85, pp. 847--866, 2023. arXiv
  • L. M. Briceño-Arias and F. Roldán, Resolvent of the parallel composition and proximity operator of the infimal postcomposition, Optim. Lett., vol. 17, pp. 399--412, 2023. arXiv

2022

  • L. M. Briceño-Arias, J. Chen, F. Roldán, and Y. Tang, Forward-partial inverse-half-forward splitting algorithm for solving monotone inclusions, Set Valued Var. Anal., vol. 30, pp. 1485--1502 2022. arXiv
  • L. M. Briceño-Arias and F. Roldán, Four Operator Splitting via a Forward-Backward-Half-Forward Algorithm with Line Search, J. Optim. Theory Appl., vol. 195, pp. 205--225, 2022. arXiv
  • L. M. Briceño-Arias and N. Pustelnik, Convergence rate comparison of proximal algorithms for non-smooth convex optimization. Application to texture segmentation. IEEE Signal Processing Letters, vol. 29, pp. 1337--1341, 2022. PDF
  • L. M. Briceño-Arias, J. Deride, and C. Vega, Random activations in primal-dual splittings for monotone inclusions with a priori information, J. Optim. Theory Appl., vol. 192, pp. 56--81, 2022. arXiv

2021

  • L. M. Briceño-Arias and Fernando Roldán, Split-Douglas-Rachford for composite monotone inclusions and Split-ADMM, SIAM J. Optim., vol. 31, pp. 2987--3013, 2021. PDF

2019

  • D. Navia, A. Puen, P. Quintanilla, L. M. Briceño-Arias, L. Bergh, On dealing with measured disturbances in the modifier adaptation method for real-time optimization, Comput. Chem. Eng., vol. 128, pp. 141--163, 2019. PDF
  • L. M. Briceño-Arias, D. Kalise, Z. Kobeissi, M. Laurière, A.M. González, and F. J. Silva, On the implementation of a primal-dual algorithm for second order time-dependent mean field games with local couplings, ESAIM Proc. Surveys, vol. 65, pp. 330--348, 2019. PDF
  • L. M. Briceño-Arias and S. López Rivera, A projected primal-dual method for solving constrained monotone inclusions, J. Optim. Theory Appl., vol. 180, no. 3, pp. 907-924, 2019. PDF
  • L. M. Briceño-Arias, G. Chierchia, E. Chouzenoux, and J.-C. Pesquet, A random block-coordinate Douglas-Rachford splitting method with low computational complexity for binary logistic regression, Comput. Optim. Appl., vol. 72, no. 3, pp. 707-726, 2019. PDF

2018

  • L. M. Briceño-Arias and F. Martínez, Short-term land use planning and optimal subsidies, Netw. Spat. Econ., vol. 18, pp. 973-997, 2018. PDF
  • L. M. Briceño-Arias and D. Davis, Forward-Backward-Half Forward algorithm for solving monotone inclusions, SIAM J. Optim., vol. 28, no. 4, pp. 2839-2871, 2018. PDF
  • L. M. Briceño-Arias, D. Kalise, and F. J. Silva, Proximal methods for stationary Mean Field Games with local couplings, SIAM J. Control Optim., vol. 56, no. 2, pp. 801-836, 2018. PDF

2017

  • L. M. Briceño-Arias, J. R. Correa, and A. Perlroth, Optimal continuous pricing with strategic consumers, Management Science, vol. 68, no. 8, pp. 2741-2755, 2017. PDF

2016

  • L. M. Briceño-Arias, N. Hoang, J. Peypouquet, Existence, stability and optimality for optimal control problems governed by maximal monotone operators, J. Differential Equations, vol. 260, pp. 733-757, 2016. PDF
  • H. Attouch, L. M. Briceño-Arias, and P. L. Combettes, A strongly convergent primal-dual method for nonoverlapping domain decomposition, Numer. Math., vol. 133, pp. 433-470, 2016. PDF

2015

  • L. M. Briceño-Arias, Forward-partial inverse-forward splitting for solving monotone inclusions, J. Optim. Theory Appl., vol. 166, pp. 391-413, 2015. PDF
  • D. Navia, L. M. Briceño-Arias, G. Gutierrez, and C. de Prada, Modifier-adaptation methodology for real time optimization reformulated as a nested optimization problem, Ind. Eng. Chem. Res., vol. 54(48), pp. 12054-12071, 2015. PDF
  • L. M. Briceño-Arias, Forward-Douglas-Rachford splitting and forward-partial inverse method for solving monotone inclusions, Optimization, vol. 64, pp. 1239-1261, 2015. PDF

2013

  • L. M. Briceño-Arias and P. L. Combettes, Monotone operator methods for Nash equilibria in non-potential games, in: Computational and Analytical Mathematics, D. Bailey, H. H. Bauschke, P. Borwein, F. Garvan, M. Théra, J. Vanderwerff, and H. Wolkowicz, Eds., Springer, New York, 2013. PDF

2012

  • L. M. Briceño-Arias, A Douglas-Rachford splitting method for solving equilibrium problems, Nonlinear Anal., vol. 75, pp. 6053--6059, 2012. PDF

2011

  • L. M. Briceño-Arias, P. L. Combettes, J.-C. Pesquet, and N. Pustelnik, Proximal algorithms for multicomponent image processing, J. Math. Imaging Vision, vol. 41, pp. 3--22, 2011. PDF
  • L. M. Briceño-Arias, Outer approximation method for constrained composite fixed point problems involving Lipschitz pseudo contractive operators, Numer. Funct. Anal. Optim., vol. 32 no. 11, pp.1099--1115, 2011. PDF
  • L. M. Briceño-Arias and P. L. Combettes, A monotone+skew splitting model for composite monotone inclusions in duality, SIAM J. Optim., vol. 21, pp. 1230--1250, 2011. PDF

2010

  • H. Attouch, L. M. Briceño-Arias, and P. L. Combettes, A parallel splitting method for coupled monotone inclusions, SIAM J. Control Optim., vol. 48, pp. 3246--3270, 2010. PDF
  • M. Bravo, L. M. Briceño-Arias, R. Cominetti, C. Cortés, and F. Martínez, An integrated behavioral model of the land-use and transport systems with network congestion and location externalities, Transp. Res. Part B: Methodological, vol. 44, pp. 584--596, 2010. PDF

2009

  • L. M. Briceño-Arias and P. L. Combettes, Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery, Numer. Math. Theory Methods Appl., vol. 2, pp. 485--508, 2009. PDF

2008

  • L. M. Briceño-Arias, R. Cominetti, C. Cortés, and F. Martínez, An integrated behavioral model of land use and transport system: a hyper-network equilibrium approach, Netw. Spat. Econ., vol. 8, pp. 201--224, 2008. PDF

Other publications

  • L. M. Briceño-Arias, P. L. Combettes, J.-C. Pesquet, and N. Pustelnik, Proximal method for geometry and texture image decomposition, Proceedings of the IEEE International Conference on Image Processing, Hong-Kong, 26--29 September, 2010. PDF
  • L. M. Briceño-Arias, R. Cominetti, C. Cortés, and F. Martínez, Modelo integrado de transporte y uso de suelo : un enfoque de optimización en redes, Actas del XIV Congreso Panamericano de Ingeniería de Tránsito y Transporte, Spain, 20--23 September 2006.