Publications

Publications


See also google scholar.

Preprints


On the Convergence of Proximal Algorithms for Weakly-convex Min-max Optimization (2026)

G. Tapia, C. Castera, N. Papadakis
Preprint
arXiv

Stochastic Adaptive Gradient Descent Without Descent (2025)

J.-F. Aujol, J. Bigot, C. Castera
Preprint
arXiv

Published papers


From learning to optimize to learning optimization algorithms (2025)

C. Castera, P. Ochs
AISTATS 2025
AISTATS | arXiv

Accelerated gradient dynamics on Riemannian manifolds: faster rate and trajectory convergence (2026)

T. Natu, C. Castera, J. Fadili, P. Ochs
Optimization
Journal |arXiv

Near-optimal closed-loop method via Lyapunov damping for convex optimization (2023-2026)

S. Maier, C. Castera, P. Ochs
Journal of Optimization Theory and Applications (JOTA)
arXiv | Code

Continuous Newton-like methods featuring inertia and variable mass (2024)

C. Castera, H. Attouch, J. Fadili, P. Ochs
SIAM Journal on Optimization (SIOPT)
SIOPT | arXiv

Inertial Newton algorithms avoiding strict saddle points (2023)

C. Castera
Journal of Optimization Theory and Applications (JOTA)
JOTA | arXiv | Code

Second-order step-size tuning of SGD for non-convex optimization (2022)

C. Castera, J. Bolte, C. Févotte, E. Pauwels
Neural Processing Letters
NePL | arXiv

An inertial Newton algorithm for deep learning (2021)

C. Castera, J. Bolte, C. Févotte, E. Pauwels
Journal of Machine Learning Research (JMLR)
JMLR | Hal | Code | Poster

PhD Thesis


Inertial and second-order optimization algorithms for training neural networks (2018-2021)

C. Castera
Defended on the 29.11.2021
theses.fr | Hal