Weinan E
According to our database^{1},
Weinan E
authored at least 28 papers
between 2000 and 2019.
Collaborative distances:
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Bibliography
2019
On Multilevel Picard Numerical Approximations for HighDimensional Nonlinear Parabolic Partial Differential Equations and HighDimensional 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
2018
DeePMDkit: A deep learning package for manybody potential energy representation and molecular dynamics.
Computer Physics Communications, 2018
Endtoend Symmetry Preserving Interatomic 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 Overparameterized Learning: A Dynamical Stability Perspective.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018
2017
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
2016
Multiscale Adaptive Representation of Signals: I. The Basic Framework.
J. Mach. Learn. Res., 2016
Convolutional neural networks with lowrank regularization.
Proceedings of the 4th International Conference on Learning Representations, 2016
Noisy HegselmannKrause systems: Phase transition and the 2Rconjecture.
Proceedings of the 55th IEEE Conference on Decision and Control, 2016
2014
Fire sale in financial networks.
Proceedings of the 48th Annual Conference on Information Sciences and Systems, 2014
2013
Efficient iterative method for solving the DiracKohnSham density functional theory.
J. Comput. Physics, 2013
2012
Optimized local basis set for KohnSham density functional theory.
J. Comput. Physics, 2012
Adaptive local basis set for KohnSham density functional theory in a discontinuous Galerkin framework I: Total energy calculation.
J. Comput. Physics, 2012
2011
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
2010
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
2009
A general strategy for designing seamless multiscale methods.
J. Comput. Physics, 2009
2007
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 kinetichydrodynamic coupling multiscale problems in gas dynamics and device simulations.
J. Comput. Physics, 2007
2005
The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems.
Multiscale Modeling & Simulation, 2005
2002
Projection method III: Spatial discretization on the staggered grid.
Math. Comput., 2002
2001
Simple finite element method in vorticity formulation for incompressible flows.
Math. Comput., 2001
2000
Numerical Methods for the LandauLifshitz Equation.
SIAM J. Numerical Analysis, 2000