Pierre-Cyril Aubin-Frankowski
Pierre-Cyril Aubin-Frankowski
PhD graduate, TU Wien
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Gene regulation inference from single-cell RNA-seq data with linear differential equations and velocity inference
PC Aubin-Frankowski, JP Vert
Bioinformatics 36 (18), 4774-4780, 2020
Kernel Stein Discrepancy Descent
A Korba, PC Aubin-Frankowski, S Majewski, P Ablin
International Conference on Machine Learning, 5719-5730, 2021
Hard shape-constrained kernel machines
PC Aubin-Frankowski, Z Szabó
Advances in Neural Information Processing Systems 33, 384-395, 2020
Mirror descent with relative smoothness in measure spaces, with application to sinkhorn and em
PC Aubin-Frankowski, A Korba, F Léger
Advances in Neural Information Processing Systems 35, 17263-17275, 2022
Linearly Constrained Linear Quadratic Regulator from the Viewpoint of Kernel Methods
PC Aubin-Frankowski
SIAM Journal on Control and Optimization 59 (4), 2693-2716, 2021
Handling hard affine SDP shape constraints in RKHSs
PC Aubin-Frankowski, Z Szabó
Journal of Machine Learning Research 23 (297), 1-54, 2022
Interpreting the dual Riccati equation through the LQ reproducing kernel
PC Aubin-Frankowski
Comptes Rendus. Mathématique 359 (2), 199-204, 2021
Estimation and control under constraints through Kernel methods
PC Aubin-Frankowski
Université Paris sciences et lettres, 2021
Kernel Regression for Vehicle Trajectory Reconstruction under Speed and Inter-vehicular Distance Constraints⋆
PC Aubin-Frankowski, N Petit, Z Szabó
IFAC 2020 World Congress, 2020
Tropical reproducing kernels and optimization
PC Aubin-Frankowski, S Gaubert
arXiv preprint arXiv:2202.11410, 2022
Operator-valued kernels and control of infinite dimensional dynamic systems
PC Aubin-Frankowski, A Bensoussan
2022 IEEE 61st Conference on Decision and Control (CDC), 1039-1044, 2022
The reproducing kernel Hilbert spaces underlying linear SDE Estimation, Kalman filtering and their relation to optimal control
PC Aubin-Frankowski, A Bensoussan
arXiv preprint arXiv:2208.07030, 2022
Gradient descent with a general cost
F Léger, PC Aubin-Frankowski
arXiv preprint arXiv:2305.04917, 2023
Lipschitz regularity of the minimum time function of differential inclusions with state constraints
PC Aubin-Frankowski
Systems & Control Letters 139, 104677, 2020
Order isomorphisms of sup-stable function spaces: continuous, Lipschitz, c-convex, and beyond
PC Aubin-Frankowski, S Gaubert
arXiv preprint arXiv:2404.06857, 2024
Reintroducing Time, Money and Constraints: Viability to Bridge the Economic and Monetary Theories
JP Aubin, PC Aubin-Frankowski, V Lozève
International Game Theory Review, 2440001, 2024
Approximation of optimization problems with constraints through kernel Sum-of-Squares
PC Aubin-Frankowski, A Rudi
Optimization, 1-26, 2024
Reproducing kernel approach to linear quadratic mean field control problems
PC Aubin-Frankowski, A Bensoussan
arXiv preprint arXiv:2308.11435, 2023
Alternating minimization for simultaneous estimation of a latent variable and identification of a linear continuous-time dynamic system
PC Aubin-Frankowski, A Bensoussan, SJ Qin
arXiv preprint arXiv:2306.16150, 2023
Stability of solutions for controlled nonlinear systems under perturbation of state constraints
PC Aubin-Frankowski
IFAC-PapersOnLine 55 (16), 62-67, 2022
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