Hugo Jaquard

I am a post-doctoral researcher in the CompACT team at IRISA, working with Nicolas Keriven. I defended my doctoral thesis in November, 2024, which was prepared at the GIPSA-lab, in the GAIA team, under the supervision of Pierre-Olivier Amblard, Simon Barthelmé and Nicolas Tremblay.

I hold both a master degree in computer science from Université de Bordeaux (with a focus on formal verification), and a master degree in mathematics from Université Grenoble-Alpes (focused on groups and geometry).


Research interests

My work is at the intersection of applied probability, mathematical and computational statistics, and signal processing, incorporating different ideas coming from geometry. I am broadly interested in developing robust and efficient algorithms (both computationally and statistically) to process data defined over "geometrical" objects, and in particular through the lens of random sampling.

My doctoral work aimed at proposing randomized linear algebra tools for data-processing over graph bundles and simplicial complexes by leveraging determinantal point processes, a strictly-structured type of distribution with built-in repulsiveness between sample-points. My post-doctoral work so far has focused on proposing and studying determinantal point processes over point clouds on manifolds and over latent position random graphs, with applications in numerics over manifolds and machine learning issues.

I believe in mathematical rigor as a tool to not only understand but to drive novel methods in data analysis and processing, and in purposeful, insightful publications.

List of publications

Doctoral thesis manuscript. Parallel Transport for Monte-Carlo Estimation on Graph Bundles
pdf on HAL, preview

Preprints

Hugo Jaquard, Nicolas Keriven, Statistical Consistency of Discrete-to-Continuous Limits of Determinantal Point Processes, 2026
arxiv:2603.01670, preview, code on gitlab

Articles in refereed journals

Hugo Jaquard, Pierre-Olivier Amblard, Simon Barthelmé, Nicolas Tremblay, Random Multi-Type Spanning Forests for Synchronization on Sparse Graphs, in SIAM Journal on Mathematics of Data Science, 2025
arxiv:2403.19300, preview, code on gitlab

Conference proceedings (with review committee)

Hugo Jaquard, Michaël Fanuel, Pierre-Olivier Amblard, Rémi Bardenet, Simon Barthelmé, Nicolas Tremblay, Smoothing complex-valued signals on Graphs with Monte-Carlo, in ICASSP, 2022
extended version on arXiv:2210.08014, preview of extended version, code on gitlab

Teaching

Student supervision