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SUMMARY:Kinetic Optimal Transport
DTSTART:20260409T120000Z
DTEND:20260409T140000Z
DTSTAMP:20260615T051500Z
UID:indico-event-14914@indico.math.cnrs.fr
DESCRIPTION:Speakers: Filippo Quattrocchi (Université Paris Saclay)\n\nAb
 stract: Wasserstein distances can be characterized as the minimum of certa
 in functionals of the speed along trajectories connecting two mass configu
 rations. In this talk\, I will introduce a discrepancy between measures on
  a phase space that is instead defined via a functional of the acceleratio
 n. This can be seen as a smooth interpolation problem\, with natural appli
 cations\, e.g.\, in biology (trajectory inference) and computer graphics (
 image interpolation). Although the acceleration-based discrepancy is not a
  genuine distance\, it admits a fluid-dynamical formulation akin to the Be
 namou--Brenier formula and induces a Riemannian-like geometry on the space
  of measures on the phase space. These results suggest possible applicatio
 ns to kinetic PDEs. This talk is based on arXiv:2502.15665\, in collaborat
 ion with G. Brigati (ISTA) and J. Maas (ISTA)\, and ongoing work with G. B
 rigati (ISTA)\, G. Carlier (CEREMADE\, Paris Dauphine-PSL)\, and J. Dolbea
 ult (CEREMADE\, Paris Dauphine-PSL).\n\nhttps://indico.math.cnrs.fr/event/
 14914/
LOCATION:Salle Olga Ladyjenskaïa (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/14914/
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