Learning to count via unbalanced optimal transport

Z Ma, X Wei, X Hong, H Lin, Y Qiu… - Proceedings of the AAAI …, 2021 - ojs.aaai.org
Counting dense crowds through computer vision technology has attracted widespread
attention. Most crowd counting datasets use point annotations. In this paper, we formulate …

The hidden geometry of particle collisions

PT Komiske, EM Metodiev, J Thaler - Journal of High Energy Physics, 2020 - Springer
A bstract We establish that many fundamental concepts and techniques in quantum field
theory and collider physics can be naturally understood and unified through a simple new …

Which metric on the space of collider events?

T Cai, J Cheng, K Craig, N Craig - Physical Review D, 2022 - APS
Which is the best metric for the space of collider events? Motivated by the success of the
energy mover's distance in characterizing collider events, we explore the larger space of …

Pileup and Infrared Radiation Annihilation (PIRANHA): a paradigm for continuous jet grooming

S Alipour-Fard, PT Komiske, EM Metodiev… - Journal of High Energy …, 2023 - Springer
A bstract Jet grooming is an important strategy for analyzing relativistic particle collisions in
the presence of contaminating radiation. Most jet grooming techniques introduce hard …

Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case

V Hartmann, D Schuhmacher - Mathematical Methods of Operations …, 2020 - Springer
We consider the problem of finding an optimal transport plan between an absolutely
continuous measure and a finitely supported measure of the same total mass when the …

Lagrangian discretization of crowd motion and linear diffusion

H Leclerc, Q Mérigot, F Santambrogio, F Stra - SIAM Journal on Numerical …, 2020 - SIAM
We study a model of crowd motion following a gradient vector field, with possibly additional
interaction terms such as attraction/repulsion, and we present a numerical scheme for its …

Estimation and quantization of expected persistence diagrams

V Divol, T Lacombe - International conference on machine …, 2021 - proceedings.mlr.press
Persistence diagrams (PDs) are the most common descriptors used to encode the topology
of structured data appearing in challenging learning tasks; think eg of graphs, time series or …

Bonded discrete element simulations of sea ice with non‐local failure: Applications to Nares Strait

B West, D O'Connor, M Parno… - Journal of Advances …, 2022 - Wiley Online Library
The discrete element method (DEM) can provide detailed descriptions of sea ice dynamics
that explicitly model floes and discontinuities in the ice, which can be challenging to …

An optimal transport model for dynamical shapes, collective motion and cellular aggregates

A Diez, J Feydy - arXiv preprint arXiv:2402.17086, 2024 - arxiv.org
Many biological systems such as cell aggregates, tissues or bacterial colonies behave as
unconventional systems of particles that are strongly constrained by volume exclusion and …

Lagrangian discretization of variational mean field games

C Sarrazin - SIAM Journal on Control and Optimization, 2022 - SIAM
In this article, we introduce a method to approximate solutions of some variational mean field
game problems with congestion by finite sets of player trajectories. These trajectories are …