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20022026
most citedSolving high-dimensional partial differential equations using deep learning

1.8k citations · 6.4k across the 42 of their papers we have counts for

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5 papers · 1 filter

physics.comp-ph2025★ 2 cited

LAMBench: A Benchmark for Large Atomistic Models

Anyang Peng, Chun Cai, Mingyu Guo +9

Large Atomistic Models (LAMs) have undergone remarkable progress recently, emerging as universal or fundamental representations of the potential energy surface defined by the first…

physics.comp-ph2022★ 14 cited

Hybrid Auxiliary Field Quantum Monte Carlo for Molecular Systems

Yixiao Chen, Linfeng Zhang, Weinan E +1

We propose a quantum Monte Carlo approach to solve the ground state many-body Schrodinger equation for the electronic ground state. The method combines optimization from variationa…

physics.comp-ph2022★ 20 cited

Ab Initio Generalized Langevin Equation

Pinchen Xie, Roberto Car, Weinan E

We introduce a machine learning-based approach called ab initio generalized Langevin equation (AIGLE) to model the dynamics of slow collective variables in materials and molecules.…

physics.comp-ph2019★ 90 cited

Uniformly Accurate Machine Learning Based Hydrodynamic Models for Kinetic Equations

Jiequn Han, Chao Ma, Zheng Ma +1

A new framework is introduced for constructing interpretable and truly reliable reduced models for multiscale problems in situations without scale separation. Hydrodynamic approxim…

physics.comp-ph2002★ 13 cited

The Heterogeneous Multi-Scale Method

Weinan E, Bjorn Engquist

The heterogeneous multi-scale method (HMM) is a general strategy for dealing with problems involving multi-scales, with multi-physics, using multi-grids. It not only unifies severa…