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20112026
most citedDeep Network Approximation for Smooth Functions

196 citations · 1.6k across the 143 of their papers we have counts for

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Showing 2017 · math.NAShow all

5 papers · 2 filters

math.NA2017★ 10 cited

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…

math.NA2017★ 6 cited

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…

math.NA2017★ 1 cited

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…

math.NA2017★ 1 cited

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.…

math.NA2017

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…