I am a Postdoctoral Researcher at Telecom Paris, working in the S2A
research team (Signal, Statistics and Learning), which is part of the LTCI Laboratory (Communication and Information Theory),
inside the department IDS (Image, Data and Signal).
I am currently working on survey sampling, transfer learning and broadly speaking on machine learning problematics.
19 place Marguerite Perey
91120 Palaiseau, France
Email: noirynathan 'at' gmail.com
My research interests lie in the study of large random graphs and large random matrices. So far, the topics I have worked on include:
Spectra of large random graphs;
Eigenvalues and eigenvectors of large deformed random matrices;
Asymptotic analysis of exploration algorithms on sparse random graphs.
Spectral asymptotic expansion of Wishart matrices with exploding moments
ALEA Latin American Journal of Probability and Mathematical Statistics, Volume XV, Number 2 (2018), pp. 897-911. Links: pdf, journal.
Spectral Measures of Spiked Random Matrices
Journal of Theoritical Probability (2020). Links: pdf, arXiv.
Depth First Exploration of a Configuration Model
with Nathanaël Enriquez, Gabriel Faraud and Laurent Ménard.
Preprint (2019). Links: pdf, arXiv.
A solvable class of renewal processes and its applications
with Nathanaël Enriquez.
Electronic Communications in Probability, Volume 25 (2020).
Links: pdf, arXiv, journal.
Large deviations for spectral measures of some spiked matrices
with Alain Rouault.
Preprint (2020). Links: pdf, arXiv.
I gave a talk at the 2018 edition of the conference Les probabilités de demain. It was a short introduction to Wigner and Marchenko-Pastur laws and their generalizations, in links with a work on Wishart matrices with exploding moments. You can find the record (in french) here.
2019-2020: Teaching Assistant in Statistical Methods, intended for second-year economy students.
2018-2019: Teaching Assistant in Analysis (optimization), intended for first-year economy students.
2017-2018: Teaching Assistant in Analysis (optimization) and General Mathematics (introduction to analysis), intended for first-year economy students.
With Laure Dumaz and Guillaume Barraquand, I co-organize the monthly seminar of the GDR MEGA. More precisely, I am responsible of the morning session which consists of a mini-course (1h30) intended to PhD students. For more information about the seminar, you can go to the dedicated website.