56 citations · 58 across the 15 of their papers we have counts for
6 papers · 1 filter
Long-time reverse transportation inequalities for non-globally-dissipative Langevin dynamics
Jianfeng Lu, Yuliang Wang
We establish a dimension-free, uniform-in-time reverse transportation inequality for Langevin dynamics with non-convex potentials. This inequality controls the Rényi divergence of…
Approximating Young Measures With Deep Neural Networks
Rayehe Karimi Mahabadi, Jianfeng Lu, Hossein Salahshoor
Parametrized measures (or Young measures) enable to reformulate non-convex variational problems as convex problems at the cost of enlarging the search space from space of functions…
Quantitative Hypocoercivity and Lifting of Classical and Quantum Dynamics
Jianfeng Lu
We consider quantitative convergence analysis for hypocoercive dynamics such as Langevin and Lindblad equations describing classical and quantum open systems. Our goal is to provid…
Quantum Fisher information matrix via its classical counterpart from random measurements
Jianfeng Lu, Kecen Sha
Preconditioning with the quantum Fisher information matrix (QFIM) is a popular approach in quantum variational algorithms. Yet the QFIM is costly to obtain directly, usually requir…
Solution Theory of Hamilton-Jacobi-Bellman Equations in Spectral Barron Spaces
Ye Feng, Jianfeng Lu
We study the solution theory of the whole-space static (elliptic) Hamilton-Jacobi-Bellman (HJB) equation in spectral Barron spaces. We prove that under the assumption that the coef…
Bi-Lipschitz Ansatz for Anti-Symmetric Functions
Nadav Dym, Jianfeng Lu, Matan Mizrachi
Motivated by applications to the simulation of quantum many-body systems by neural networks, researchers have suggested several models which are antisymmetric by construction, and…