Gabriel Peyré
@gabrielpeyre.bsky.social
2.6K followers 170 following 56 posts
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gabrielpeyre.bsky.social
KL to a Gaussian target, (entropic) Wasserstein distance to a Gaussian. This invariance makes Gaussians an exceptionally handy test case.
gabrielpeyre.bsky.social
Thought of the day: It is somewhat mysterious why Gaussians remain stable under the particle-minimizing flow (i.e. the Wasserstein gradient flow) for so many widely used energies: entropy, Fisher information, quadratic interaction potentials, functionals depending only on mean and covariance,
Reposted by Gabriel Peyré
cnrs.fr
CNRS @cnrs.fr · 29d
#Communiqué 🗞️ La médaille d'or 2025 du CNRS est décernée à Stéphane Mallat, mondialement reconnu pour ses travaux autour des mathématiques appliquées au traitement du signal et à l’intelligence artificielle. 👏

👉 cnrs.fr/fr/presse/en...

#TalentsCNRS 🏅
gabrielpeyre.bsky.social
Symmetric and positive (invertible) matrices.
gabrielpeyre.bsky.social
To meditate while resting on the beach...
gabrielpeyre.bsky.social
Fun (...) fact: the only linear operators on matrices that preserves the rank are X->AXB, where A and B are invertible (with X->X^T in the square case). This was apparently first proved (?) in 1959 by Marcus and Moyls.
gabrielpeyre.bsky.social
Le prochain Data Science Colloquium à l'ENS, jeudi 12 juin, sera donné par David Louapre d'Ubisoft, "What modern AI and neuroscience can bring to non-playing characters in video games". David c'est bien sûr également le vulgarisateur scientifique de www.youtube.com/scienceetonn...
gabrielpeyre.bsky.social
If one of the two distributions is an isotropic Gaussian, then flow matching is equivalent to a diffusion model. This is known as Tweedie's formula. In particular, the vector field is a gradient vector, as in optimal transport. speakerdeck.com/gpeyre/compu...
gabrielpeyre.bsky.social
The course is currently running on Wednesdays, you should go if you are in Paris and interested in OT! www.college-de-france.fr/fr/personne/...
Cyril Letrouit | Collège de France
www.college-de-france.fr
gabrielpeyre.bsky.social
Lectures note for the course of Cyril Letrouit at Collège de France on the quantitative stability of optimal transport.
www.imo.universite-paris-saclay.fr/~cyril.letro...
www.imo.universite-paris-saclay.fr
gabrielpeyre.bsky.social
I have cleaned up the notebooks for my course on Optimal Transport for Machine Learners and added links to the slides and lecture notes. github.com/gpeyre/ot4ml
gabrielpeyre.bsky.social
I have updated my slides on the maths of AI by an optimal pairing between AI and maths researchers ... speakerdeck.com/gpeyre/the-m...
gabrielpeyre.bsky.social
Mon article sur les maths de l’IA est paru dans la gazette de la smf smf.emath.fr/publications...
La version en anglais est sur arxiv
arxiv.org/abs/2501.10465
Reposted by Gabriel Peyré
lenaicchizat.bsky.social
Announcing : The 2nd International Summer School on Mathematical Aspects of Data Science
mathsdata2025.github.io
EPFL, Sept 1–5, 2025

Speakers:
Bach @bachfrancis.bsky.social
Bandeira
Mallat
Montanari
Peyré @gabrielpeyre.bsky.social

For PhD students & early-career researchers
Apply before May 15!
Mathematical Aspects of Data Science
Graduate Summer School - EPFL - Sept. 1-5, 2025
mathsdata2025.github.io
Reposted by Gabriel Peyré
naverlabseurope.bsky.social
Applications are 📣OPEN📣 for #PAISS2025 THE AI summer school in #Grenoble 1-5 Sept! Speakers so far @yann-lecun.bsky.social @dimadamen.bsky.social @arthurgretton.bsky.social @gabrielpeyre.bsky.social @science4all.org A. Cristia J. Revaud M. Caron J. Carpentier M. Vladimirova ➡️ paiss.inria.fr
Reposted by Gabriel Peyré
bachfrancis.bsky.social
Characterizing finely the decay of eigenvalues of kernel matrices: many people need it, but explicit references are hard to find. This blog post reviews amazing asymptotic results from Harold Widom (1963!) and proposes new non-asymptotic bounds.
francisbach.com/spectrum-ker...
gabrielpeyre.bsky.social
I am biased toward the SURE, I won’t take the risk to estimate without Stein.
Reposted by Gabriel Peyré
josephine-raugel.bsky.social
⚡️Check out our workshop tomorrow at @lpiparis.bsky.social, great speakers (@gabrielpeyre.bsky.social, @sdascoli.bsky.social, @samillingworth.com & many more) will cover Theory and Applications of Generative AI + Connexions with neuroscience 🧠
And there's food 🍰
➡️ genai-conference-website.vercel.app