From the 1 of 668 papers with an AI index.
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41 papers · 1 filter
Optimal vaccination: Various (counter) intuitive examples
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
In previous articles, we formalized the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-dimensional metapopulation model. The aim of the current pap…
Computational statistical physics and hypocoercivity
Gabriel Stoltz
This note provides an introduction to molecular dynamics, the computational implementation of the theory of statistical physics. The discussion is focused on the properties of Lang…
A deep language model to predict metabolic network equilibria
François Charton, Amaury Hayat, Sean T. McQuade +2
We show that deep learning models, and especially architectures like the Transformer, originally intended for natural language, can be trained on randomly generated datasets to pre…
The Capra-subdifferential of the l0 pseudonorm
Adrien Le Franc, Jean-Philippe Chancelier, Michel de Lara
The l0 pseudonorm counts the nonzero coordinates of a vector. It is often used in optimization problems to enforce the sparsity of the solution. However, this function is nonconvex…
Optimal friction matrix for underdamped Langevin sampling
Martin Chak, Nikolas Kantas, Tony Lelièvre +1
A systematic procedure for optimising the friction coefficient in underdamped Langevin dynamics as a sampling tool is given by taking the gradient of the associated asymptotic vari…
Effective reproduction number: Convexity, invariance and cordons sanitaires
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-metapopulation model (including SIS, SIR, SEIR,. . .), when the loss function is giv…