4 citations · 18 across the 20 of their papers we have counts for
5 papers · 1 filter
Sampling and Optimization meet Enhanced Flows
Yuan Gao, Siming He, Eitan Tadmor
It is well known that the computational realization of Gibbs probability measures, , plays a central role in sampling and optimization. In this paper…
Finite-time breakdown of the Euler-alignment system for supercritical initial data
Young-Pil Choi, Eitan Tadmor
We study finite-time breakdown of classical solutions to the Euler-alignment system through the degeneration of the associated Lagrangian flow. This approach allows us to character…
Optimal drift optimizer for non-convex optimization
Qin Li, Sixu Li, Eitan Tadmor +1
We study a finite-horizon stochastic control criterion for non-convex optimization in which Brownian exploration is balanced against a quadratic control cost. Rather than emphasizi…
Variational formulation of hyperbolic conservation laws
Eitan Tadmor
Entropy functions played a key role in the development of mathematical theory for hyperbolic conservation laws. The notion of entropy, which is intimately connected with symmetry,…
Lagrangian formulation and Eulerian closure in alignment dynamics
José A. Carrillo, Young-Pil Choi, Eitan Tadmor
We investigate a continuum Lagrangian -alignment system given by a nonlocal mean-field system of ordinary differential equations for interacting agents with weak initial data. W…