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Mathematics
USA
2026

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Mathematics

D-Index
76
Citations
20768
World Ranking
196
National Ranking
114

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2002 - Fellow of Alfred P. Sloan Foundation

Overview

Eric Vanden-Eijnden is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily spans the fields of Computer Science and Physics and Astronomy, with a notable focus on Artificial Intelligence and Statistical and Nonlinear Physics as subfields.

The work of Eric Vanden-Eijnden covers several key topics including Model Reduction and Neural Networks, Gaussian Processes and Bayesian Inference, Generative Adversarial Networks and Image Synthesis, Advanced Thermodynamics and Statistical Mechanics, Stochastic Gradient Optimization Techniques, Markov Chains and Monte Carlo Methods, and Neural Networks and Applications.

Their recent publications include the following papers:

  • Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach, 2022, Communications on Pure and Applied Mathematics
  • Neural Galerkin schemes with active learning for high-dimensional evolution equations, 2023, Journal of Computational Physics
  • Stochastic Interpolants: A Unifying Framework for Flows and Diffusions, 2023, arXiv (Cornell University)
  • Minimum-Action Method for Nonequilibrium Phase Transitions, 2023, Physical Review X
  • Building Normalizing Flows with Stochastic Interpolants, 2022, arXiv (Cornell University)

Frequent co-authors collaborating with Eric Vanden-Eijnden include Nicholas M. Boffi, Michael S. Albergo, Grant M. Rotskoff, Joan Bruna, and Marylou Gabrié.

Key publication venues for their work include:

  • arXiv (Cornell University)
  • Communications on Pure and Applied Mathematics
  • Journal of Statistical Mechanics Theory and Experiment
  • Proceedings of the National Academy of Sciences
  • UNC Libraries

Eric Vanden-Eijnden was awarded the Fellow of Alfred P. Sloan Foundation in 2002.

Best Publications

  • String method for the study of rare events

    Weinan E;Weiqing Ren;Eric Vanden-Eijnden

  • Constructing the equilibrium ensemble of folding pathways from short off-equilibrium simulations

    Frank Noé;Christof Schütte;Eric Vanden-Eijnden;Lothar Reich

  • String method in collective variables: Minimum free energy paths and isocommittor surfaces

    Luca Maragliano;Alexander Fischer;Eric Vanden-Eijnden;Giovanni Ciccotti

  • Heterogeneous multiscale methods: A review

    Weinan E;Bjorn Engquist;Xiantao Li;Weiqing Ren

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

    Weinan E;Weiqing Ren;Eric Vanden-Eijnden

  • A temperature accelerated method for sampling free energy and determining reaction pathways in rare events simulations

    Luca Maragliano;Eric Vanden-Eijnden

  • Transition-Path Theory and Path-Finding Algorithms for the Study of Rare Events

    Weinan E;Eric Vanden-Eijnden

  • The heterogeneous multiscale method

    Assyr Abdulle;Weinan E;Weinan E;Björn Engquist;Eric Vanden-Eijnden

  • Transition Path Theory for Markov Jump Processes

    Philipp Metzner;Christof Schütte;Eric Vanden-Eijnden

  • Towards a Theory of Transition Paths

    E Weinan;Eric Vanden-Eijnden

  • Finite temperature string method for the study of rare events.

    Weinan E;Weiqing Ren;Eric Vanden-Eijnden

  • The Heterogeneous Multiscale Method: A Review

    Weinan E;Bjorn Engquist;Xiantao Li;Weiqing Ren

  • Mori–Zwanzig formalism as a practical computational tool

    Carmen Hijón;Pep Español;Eric Vanden-Eijnden;Rafael Delgado-Buscalioni

  • DENSITY ESTIMATION BY DUAL ASCENT OF THE LOG-LIKELIHOOD ∗

    Esteban G. Tabak;Eric Vanden-Eijnden

  • Minimum Action Method for the Study of Rare Events

    Weinan E;Weiqing Ren;Eric Vanden-Eijnden;Eric Vanden-Eijnden

  • Systematic Strategies for Stochastic Mode Reduction in Climate

    Andrew J. Majda;Ilya Timofeyev;Eric Vanden-Eijnden

  • Large-scale conformational sampling of proteins using temperature-accelerated molecular dynamics

    Cameron F. Abrams;Eric Vanden-Eijnden

  • Markov State Models Based on Milestoning

    Christof Schütte;Frank Noé;Jianfeng Lu;Marco Sarich

  • Revisiting the finite temperature string method for the calculation of reaction tubes and free energies.

    Eric Vanden-Eijnden;Maddalena Venturoli

  • The geometric minimum action method: A least action principle on the space of curves

    Matthias Heymann;Eric Vanden-Eijnden

Frequent Co-Authors

Weinan E
Weinan E Princeton University
Jianfeng Lu
Jianfeng Lu Duke University
Cyrill B. Muratov
Cyrill B. Muratov University of Pisa
Andrew J. Majda
Andrew J. Majda Courant Institute of Mathematical Sciences
Christof Schütte
Christof Schütte Freie Universität Berlin
Tony Lelièvre
Tony Lelièvre École des Ponts ParisTech
Martin Karplus
Martin Karplus Harvard University
Joan Bruna
Joan Bruna New York University
John B. Bell
John B. Bell Lawrence Berkeley National Laboratory
Richard Bonneau
Richard Bonneau New York University

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