Weinan E

According to our database1, Weinan E authored at least 28 papers between 2000 and 2019.

Collaborative distances:



In proceedings 
PhD thesis 



On csauthors.net:


On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations.
J. Sci. Comput., 2019

Stochastic Modified Equations and Dynamics of Stochastic Gradient Algorithms I: Mathematical Foundations.
J. Mach. Learn. Res., 2019

DeePMD-kit: A deep learning package for many-body potential energy representation and molecular dynamics.
Computer Physics Communications, 2018

End-to-end Symmetry Preserving Inter-atomic Potential Energy Model for Finite and Extended Systems.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

How SGD Selects the Global Minima in Over-parameterized Learning: A Dynamical Stability Perspective.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

Maximum Principle Based Algorithms for Deep Learning.
J. Mach. Learn. Res., 2017

Stochastic Modified Equations and Adaptive Stochastic Gradient Algorithms.
Proceedings of the 34th International Conference on Machine Learning, 2017

Multiscale Adaptive Representation of Signals: I. The Basic Framework.
J. Mach. Learn. Res., 2016

Convolutional neural networks with low-rank regularization.
Proceedings of the 4th International Conference on Learning Representations, 2016

Noisy Hegselmann-Krause systems: Phase transition and the 2R-conjecture.
Proceedings of the 55th IEEE Conference on Decision and Control, 2016

Fire sale in financial networks.
Proceedings of the 48th Annual Conference on Information Sciences and Systems, 2014

Efficient iterative method for solving the Dirac-Kohn-Sham density functional theory.
J. Comput. Physics, 2013

Optimized local basis set for Kohn-Sham density functional theory.
J. Comput. Physics, 2012

Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation.
J. Comput. Physics, 2012

SelInv - An Algorithm for Selected Inversion of a Sparse Symmetric Matrix.
ACM Trans. Math. Softw., 2011

A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations.
SIAM J. Scientific Computing, 2011

Multiscale modeling.
Scholarpedia, 2011

Failure of random materials: a large deviation and computational study.
Proceedings of the Winter Simulation Conference 2011, 2011

A numerical method for the study of nucleation of ordered phases.
J. Comput. Physics, 2010

A multiscale coupling method for the modeling of dynamics of solids with application to brittle cracks.
J. Comput. Physics, 2010

A general strategy for designing seamless multiscale methods.
J. Comput. Physics, 2009

The local microscale problem in the multiscale modeling of strongly heterogeneous media: Effects of boundary conditions and cell size.
J. Comput. Physics, 2007

Nested stochastic simulation algorithms for chemical kinetic systems with multiple time scales.
J. Comput. Physics, 2007

A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations.
J. Comput. Physics, 2007

The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems.
Multiscale Modeling & Simulation, 2005

Projection method III: Spatial discretization on the staggered grid.
Math. Comput., 2002

Simple finite element method in vorticity formulation for incompressible flows.
Math. Comput., 2001

Numerical Methods for the Landau-Lifshitz Equation.
SIAM J. Numerical Analysis, 2000