I am a third year PhD Student at G-SCOP laboratory in Grenoble, France.
My PhD is under the supervision of Nadia Brauner and Nicolas Catusse.

I am particularly interested in computational proofs for online optimization problems. The main idea is that proofs of lower and upper bounds are often fairly long case studies – so perhaps a computer would be better suited to construct such bounds. Online bin stretching is the main problem I tackle as computational proofs are state of the art for it. It is a packing problem where items need to be placed into bins in an online manner. The computational methods consist in viewing this problem as a two-player game between the algorithm and a malicious adversary giving items, and finding strategies for a player via a min-max search. Computation time is the main limiting factor to obtain better results. My work so far has been to extend computational proofs in several directions: improving the search technique itself to reduce computation times and obtain better bounds, proving their convergence, considering randomized algorithms and algorithms augmented with predictions.

It's me!

Computing performance guarantees for algorithms with predictions in online bin stretching

Antoine Lhomme, Nicolas Catusse, Nadia Brauner

2025

Robust single-stage selection problems with budgeted interval uncertainty

Antoine Lhomme, Nadia Brauner, Evgeny Gurevsky, Mikhail Y. Kovalyov, Erwin Pesch

2025

On the convergence of computational methods for the online bin stretching problem

Antoine Lhomme, Nicolas Catusse, Nadia Brauner

2025, arXiv: https://arxiv.org/abs/2506.17271

Computational bounds on randomized algorithms for online bin stretching

Antoine Lhomme, Nicolas Catusse, Nadia Brauner

2024, arXiv: https://arxiv.org/abs/2405.19071

Online bin stretching lower bounds: Improved search of computational proofs

Antoine Lhomme, Olivier Romane, Nicolas Catusse, Nadia Brauner

2022, arXiv: https://arxiv.org/abs/2207.04931

Teaching