196 citations · 1.6k across the 143 of their papers we have counts for
146 papers
Log-Sobolev inequalities for boundary-driven anharmonic chains
Jianfeng Lu
We study the non-equilibrium steady state of a weakly anharmonic chain of oscillators driven at its boundary by Langevin thermostats at unequal temperatures. Under a perturbati…
Score-based Transport Modeling for Mean-Field Fokker-Planck Equations
Jianfeng Lu, Yue Wu, Yang Xiang
We use the score-based transport modeling method to solve the mean-field Fokker-Planck equations, which we call MSBTM. We establish an upper bound on the time derivative of the Kul…
Interpolation between modified logarithmic Sobolev and Poincare inequalities for quantum Markovian dynamics
Bowen Li, Jianfeng Lu
We define the quantum -divergences and introduce Beckner's inequalities for primitive quantum Markov semigroups on a finite-dimensional matrix algebra satisfying the detailed ba…
Single Time-scale Actor-critic Method to Solve the Linear Quadratic Regulator with Convergence Guarantees
Mo Zhou, Jianfeng Lu
We propose a single time-scale actor-critic algorithm to solve the linear quadratic regulator (LQR) problem. A least squares temporal difference (LSTD) method is applied to the cri…
A Regularity Theory for Static Schrödinger Equations on in Spectral Barron Spaces
Ziang Chen, Jianfeng Lu, Yulong Lu +1
Spectral Barron spaces have received considerable interest recently as it is the natural function space for approximation theory of two-layer neural networks with a dimension-free…
Quantum Orbital Minimization Method for Excited States Calculation on Quantum Computer
Joel Bierman, Yingzhou Li, Jianfeng Lu
We propose a quantum-classical hybrid variational algorithm, the quantum orbital minimization method (qOMM), for obtaining the ground state and low-lying excited states of a Hermit…