I am a researcher in applied mathematics and machine learning. Since February 2022, I am a postdoc at the University of Tübingen, working on the TRINOM-DS project led by Peter Ochs and Jalal Fadili.

Prior to that, I obtained my PhD degree at the IRIT laboratory of Toulouse under the supervision of Cédric Févotte, Édouard Pauwels and Jérôme Bolte. I was a member of the FACTORY project.

My research focuses on optimization algorithms for deep learning, and machine learning in general. I used to give tutorials and practicals at INP-ENSEEIHT where I taught probabilities, statistics and integration theory to master students.

Research interests

Recent work

Inertial Newton algorithms avoiding strict saddle points

C. Castera (2021)

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

C. Castera, J. Bolte, C. Févotte, E. Pauwels (2022)
Neural Processing Letters

An inertial Newton algorithm for deep learning

C. Castera, J. Bolte, C. Févotte, E. Pauwels (2021)
Journal of Machine Learning Research

Poster: the INNA algorithm

Poster presented at NeurIPS 2019

List of publications