196 citations · 1.6k across the 143 of their papers we have counts for
15 papers · 1 filter
Methodological and computational aspects of parallel tempering methods in the infinite swapping limit
Jianfeng Lu, Eric Vanden-Eijnden
A variant of the parallel tempering method is proposed in terms of a stochastic switching process for the coupled dynamics of replica configuration and temperature permutation. Thi…
The full configuration interaction quantum Monte Carlo method in the lens of inexact power iteration
Jianfeng Lu, Zhe Wang
In this paper, we propose a general analysis framework for inexact power iteration, which can be used to efficiently solve high dimensional eigenvalue problems arising from quantum…
Efficient construction of tensor ring representations from sampling
Yuehaw Khoo, Jianfeng Lu, Lexing Ying
In this paper we propose an efficient method to compress a high dimensional function into a tensor ring format, based on alternating least-squares (ALS). Since the function has siz…
Bold Diagrammatic Monte Carlo in the Lens of Stochastic Iterative Methods
Yingzhou Li, Jianfeng Lu
This work aims at understanding of bold diagrammatic Monte Carlo (BDMC) methods for stochastic summation of Feynman diagrams from the angle of stochastic iterative methods. The con…
Riesz Energy on the Torus: Regularity of Minimizers
Jianfeng Lu, Stefan Steinerberger
We study sets of points on the dimensional torus minimizing interaction functionals of the type \[ \sum_{i, j =1 \atop i \neq j}^{N}{ f(x_i - x_j)}. \] The m…
Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping
Jianfeng Lu, Zhennan Zhou
To accelerate the thermal equilibrium sampling of multi-level quantum systems, the infinite swapping limit of a recently proposed multi-level ring polymer representation is investi…
Detecting localized eigenstates of linear operators
Jianfeng Lu, Stefan Steinerberger
We describe a way of detecting the location of localized eigenvectors of a linear system for eigenvalues with comparatively large. We define the family of funct…
Lindblad equation and its semi-classical limit of the Anderson-Holstein model
Yu Cao, Jianfeng Lu
For multi-level open quantum system, the interaction between different levels could pose challenge to understand the quantum system both analytically and numerically. In this work,…
Cubic scaling algorithms for RPA correlation using interpolative separable density fitting
Jianfeng Lu, Kyle Thicke
We present a new cubic scaling algorithm for the calculation of the RPA correlation energy. Our scheme splits up the dependence between the occupied and virtual orbitals in b…
Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model
Jian-Guo Liu, Jianfeng Lu, Dionisios Margetis +1
In the absence of external material deposition, crystal surfaces usually relax to become flat by decreasing their free energy. We study an asymmetry in the relaxation of macroscopi…
Moderate Deviation for Random Elliptic PDEs with Small Noise
Xiaoou Li, Jingchen Liu, Jianfeng Lu +1
Partial differential equations with random inputs have become popular models to characterize physical systems with uncertainty coming from, e.g., imprecise measurement and intrinsi…
A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems
Zhenning Cai, Jianfeng Lu
We propose a surface hopping Gaussian beam method to numerically solve a class of high frequency linear transport systems in high spatial dimensions, based on asymptotic analysis.…
Phase Space Sketching for Crystal Image Analysis based on Synchrosqueezed Transforms
Jianfeng Lu, Haizhao Yang
Recent developments of imaging techniques enable researchers to visualize materials at the atomic resolution to better understand the microscopic structures of materials. This pape…
Trigonometric integrators for quasilinear wave equations
Ludwig Gauckler, Jianfeng Lu, Jeremy L. Marzuola +2
Trigonometric time integrators are introduced as a class of explicit numerical methods for quasilinear wave equations. Second-order convergence for the semi-discretization in time…
Path integral molecular dynamics with surface hopping for thermal equilibrium sampling of nonadiabatic systems
Jianfeng Lu, Zhennan Zhou
In this work, a novel ring polymer representation for multi-level quantum system is proposed for thermal average calculations. The proposed presentation keeps the discreteness of t…