Difference of Convex Programming in the Wasserstein Space with Applications to MMD Optimization.

Pierre-Cyril Aubin-Frankowski https://orcid.org/0000-0001-7992-8335

Clément Bonet Pierre-Cyril Aubin-Frankowski Youssef Mroueh Difference of Convex Programming in the Wasserstein Space with Applications to MMD Optimization. 2026 June abs/2606.27767 CoRR https://doi.org/10.48550/arXiv.2606.27767 db/journals/corr/corr2606.html#abs-2606-27767 streams/journals/corr

Pierre-Cyril Aubin-Frankowski Alain Bensoussan 0001 Solving LQ stochastic control and defining the controllability Gramian through kernel methods. 5463-5468 2025 CDC https://doi.org/10.1109/CDC57313.2025.11312637 conf/cdc/2025 db/conf/cdc/cdc2025.html#AubinFrankowskiB25 streams/conf/cdc

Jean-Pierre Aubin Pierre-Cyril Aubin-Frankowski Vladimir Lozève Reintroducing Time, Money and Constraints: Viability to Bridge the Economic and Monetary Theories. 2440001:1-2440001:29 2024 June 26 IGTR 2 https://doi.org/10.1142/S0219198924400012 db/journals/igtr/igtr26.html#AubinAL24 streams/journals/igtr

Pierre-Cyril Aubin-Frankowski Alain Bensoussan 0001 Reproducing Kernel Approach to Linear-Quadratic Mean Field Control Problems with Additive Noise. 3297-3302 2024 CDC https://doi.org/10.1109/CDC56724.2024.10886326 conf/cdc/2024 db/conf/cdc/cdc2024.html#Aubin-Frankowski24 Clément Bonet Théo Uscidda Adam David Pierre-Cyril Aubin-Frankowski Anna Korba Mirror and Preconditioned Gradient Descent in Wasserstein Space. 2024 NeurIPS http://papers.nips.cc/paper_files/paper/2024/hash/2cf153951b5e9b39564fc4a0ef6adc1a-Abstract-Conference.html conf/nips/2024 db/conf/nips/neurips2024.html#BonetUDAK24

Clément Bonet Théo Uscidda Adam David Pierre-Cyril Aubin-Frankowski Anna Korba Mirror and Preconditioned Gradient Descent in Wasserstein Space. 2024 abs/2406.08938 CoRR https://doi.org/10.48550/arXiv.2406.08938 db/journals/corr/corr2406.html#abs-2406-08938 streams/journals/corr

Pierre-Cyril Aubin-Frankowski Yohann De Castro Axel Parmentier Alessandro Rudi Generalization Bounds of Surrogate Policies for Combinatorial Optimization Problems. 2024 abs/2407.17200 CoRR https://doi.org/10.48550/arXiv.2407.17200 db/journals/corr/corr2407.html#abs-2407-17200 streams/journals/corr

Pierre-Cyril Aubin-Frankowski Alessandro Rudi Approximation of optimization problems with constraints through kernel Sum-Of-Squares. 2023 abs/2301.06339 CoRR https://doi.org/10.48550/arXiv.2301.06339 db/journals/corr/corr2301.html#abs-2301-06339

Pierre-Cyril Aubin-Frankowski Zoltán Szabó 0001 Handling Hard Affine SDP Shape Constraints in RKHSs. 297:1-297:54 2022 23 J. Mach. Learn. Res. https://jmlr.org/papers/v23/21-0007.html db/journals/jmlr/jmlr23.html#Aubin-Frankowski22

Pierre-Cyril Aubin-Frankowski Alain Bensoussan 0001 Operator-valued Kernels and Control of Infinite dimensional Dynamic Systems. 1039-1044 2022 CDC https://doi.org/10.1109/CDC51059.2022.9992921 conf/cdc/2022 db/conf/cdc/cdc2022.html#Aubin-Frankowski22 Pierre-Cyril Aubin-Frankowski Anna Korba Flavien Léger Mirror Descent with Relative Smoothness in Measure Spaces, with application to Sinkhorn and EM. 2022 conf/nips/2022 NeurIPS http://papers.nips.cc/paper_files/paper/2022/hash/6e3daaeca6be8579573f69082b2dd58b-Abstract-Conference.html db/conf/nips/neurips2022.html#Aubin-Frankowski22

Pierre-Cyril Aubin-Frankowski Anna Korba Flavien Léger Mirror Descent with Relative Smoothness in Measure Spaces, with application to Sinkhorn and EM. 2022 abs/2206.08873 CoRR https://doi.org/10.48550/arXiv.2206.08873 db/journals/corr/corr2206.html#abs-2206-08873

Pierre-Cyril Aubin-Frankowski Estimation and control under constraints through Kernel methods. (Estimation et contrôle sous contraintes par méthodes à noyaux). 2021 PSL Research University, Paris, France https://tel.archives-ouvertes.fr/tel-03296985

Pierre-Cyril Aubin-Frankowski Linearly Constrained Linear Quadratic Regulator from the Viewpoint of Kernel Methods. 2693-2716 2021 59 SIAM J. Control. Optim. 4 https://doi.org/10.1137/20M1348765 db/journals/siamco/siamco59.html#Aubin-Frankowski21

Anna Korba Pierre-Cyril Aubin-Frankowski Szymon Majewski Pierre Ablin Kernel Stein Discrepancy Descent. 5719-5730 2021 ICML http://proceedings.mlr.press/v139/korba21a.html conf/icml/2021 db/conf/icml/icml2021.html#KorbaAMA21

Pierre-Cyril Aubin-Frankowski Zoltán Szabó 0001 Handling Hard Affine SDP Shape Constraints in RKHSs. 2021 abs/2101.01519 CoRR https://arxiv.org/abs/2101.01519 db/journals/corr/corr2101.html#abs-2101-01519

Anna Korba Pierre-Cyril Aubin-Frankowski Szymon Majewski Pierre Ablin Kernel Stein Discrepancy Descent. 2021 abs/2105.09994 CoRR https://arxiv.org/abs/2105.09994 db/journals/corr/corr2105.html#abs-2105-09994

Pierre-Cyril Aubin-Frankowski Jean-Philippe Vert Gene regulation inference from single-cell RNA-seq data with linear differential equations and velocity inference. 4774-4780 2020 36 Bioinform. 18 https://doi.org/10.1093/bioinformatics/btaa576 https://www.wikidata.org/entity/Q100475596 db/journals/bioinformatics/bioinformatics36.html#Aubin-Frankowski20

Pierre-Cyril Aubin-Frankowski Lipschitz regularity of the minimum time function of differential inclusions with state constraints. 104677 2020 139 Syst. Control. Lett. https://doi.org/10.1016/j.sysconle.2020.104677 db/journals/scl/scl139.html#Aubin-Frankowski20

Pierre-Cyril Aubin-Frankowski Nicolas Petit Data-driven approximation of differential inclusions and application to detection of transportation modes. 1358-1364 2020 ECC https://doi.org/10.23919/ECC51009.2020.9143694 conf/eucc/2020 db/conf/eucc/eucc2020.html#Aubin-Frankowski20 Pierre-Cyril Aubin-Frankowski Zoltán Szabó 0001 Hard Shape-Constrained Kernel Machines. 2020 NeurIPS https://proceedings.neurips.cc/paper/2020/hash/03fa2f7502f5f6b9169e67d17cbf51bb-Abstract.html conf/nips/2020 db/conf/nips/neurips2020.html#Aubin-Frankowski20

Pierre-Cyril Aubin-Frankowski Zoltán Szabó 0001 Hard Shape-Constrained Kernel Machines. 2020 abs/2005.12636 CoRR https://arxiv.org/abs/2005.12636 db/journals/corr/corr2005.html#abs-2005-12636

Pierre Ablin Jean-Pierre Aubin Alain Bensoussan 0001 Clément Bonet Yohann De Castro Adam David Anna Korba Flavien Léger Vladimir Lozève Szymon Majewski Youssef Mroueh Axel Parmentier Nicolas Petit Alessandro Rudi Zoltán Szabó 0001 Théo Uscidda Jean-Philippe Vert