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List of works by Weinan E

A mathematical model for universal semantics

scientific article published on 07 September 2020

Adaptive coupling of a deep neural network potential to a classical force field

article

Adaptive minimum action method for the study of rare events

scientific article published in March 2008

Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning

scientific article published in 2021

Analysis of the heterogeneous multiscale method for elliptic homogenization problems

scientific article published on 16 September 2004

Asymptotic Theory for the Probability Density Functions in Burgers Turbulence

scientific article published on 27 September 1999

Atomistic Models of Materials: Mathematical Challenges

Atomistic simulations of rare events using gentlest ascent dynamics ⬇️

scientific article published on March 28, 2012

Continuum theory of a moving membrane

scientific article published on 26 April 2007

DP-GEN: A concurrent learning platform for the generation of reliable deep learning based potential energy models

scientific article published on 11 February 2020

DeFine: deep convolutional neural networks accurately quantify intensities of transcription factor-DNA binding and facilitate evaluation of functional non-coding variants

scientific article published on 2 April 2018

DeePCG: Constructing coarse-grained models via deep neural networks

scientific article published on 01 July 2018

DeePMD-kit v2: A software package for deep potential models

scientific article published on 01 August 2023

Deep Potential Molecular Dynamics: A Scalable Model with the Accuracy of Quantum Mechanics

scientific article

Density-gradient-corrected embedded atom method

scholarly article in Physical Review B, vol. 79 no. 3, January 2009

Domain decomposition interface preconditioners for fourth-order elliptic problems

article by Tony F. Chan et al published November 1991 in Applied Numerical Mathematics

End-to-end Symmetry Preserving Inter-atomic Potential Energy Model for Finite and Extended Systems ⬇️

Failure of random materials: A large deviation and computational study

Finite temperature string method for the study of rare events

scientific article published in April 2005

Gibbsian Dynamics and Ergodicity for the Stochastically Forced Navier–Stokes Equation

scientific article published in 2001

Ground State Energy Functional with Hartree-Fock Efficiency and Chemical Accuracy

scientific article published on 03 August 2020

How SGD Selects the Global Minima in Over-parameterized Learning: A Dynamical Stability Perspective ⬇️

Invariant Measures for Burgers Equation with Stochastic Forcing

scientific article published in May 2000

Kinetic theory for flows of nonhomogeneous rodlike liquid crystalline polymers with a nonlocal intermolecular potential

scientific article published on 13 May 2002

Localized bases of eigensubspaces and operator compression

scientific article

Microscopic mechanisms of equilibrium melting of a solid

scientific article published in November 2014

Modified models of polymer phase separation

scientific article published on 12 June 2006

Multilevel Picard iterations for solving smooth semilinear parabolic heat equations

scientific article published in 2021

Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates

scientific article published in November 2005

Noise can play an organizing role for the recurrent dynamics in excitable media

scientific article

Nucleation of ordered phases in block copolymers

scientific article published on 9 April 2010

Numerical study of metastability due to tunneling: The quantum string method

Optimal convergence rate of the universal estimation error

Optimal partition and effective dynamics of complex networks

scholarly article

Phase Diagram of a Deep Potential Water Model

scientific article published on 09 June 2021

Probabilistic framework for network partition

scientific article published on 7 August 2009

Probability Distribution Functions for the Random Forced Burgers Equation

Reinforced dynamics for enhanced sampling in large atomic and molecular systems

article

Sampling saddle points on a free energy surface

scientific article

Simplified and improved string method for computing the minimum energy paths in barrier-crossing events

scientific article published in April 2007

Solving high-dimensional partial differential equations using deep learning

scholarly article by Jiequn Han et al published 21 August 2018 in Proceedings of the National Academy of Sciences of the United States of America

String method for the study of rare events

scientific article published on 12 August, 2002

Study of the instability of the Poiseuille flow using a thermodynamic formalism

scientific article

Subcritical bifurcation in spatially extended systems

The gentlest ascent dynamics

article

Transition pathways in complex systems: Application of the finite-temperature string method to the alanine dipeptide

scientific article

Transition-path theory and path-finding algorithms for the study of rare events

scientific article published on January 2010

Uniformly accurate machine learning-based hydrodynamic models for kinetic equations

scientific article published on 16 October 2019

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