Eric Vanden-Eijnden

Eric Vanden-Eijnden's AcademicInfluence.com Rankings

Eric Vanden-Eijnden

Mathematics

#5165

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#7290

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Measure Theory

#1688

World Rank

#2075

Historical Rank

mathematics Degrees

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Mathematics

Eric Vanden-Eijnden's Degrees

PhD Mathematics University of Amsterdam
Masters Physics University of Amsterdam

Why Is Eric Vanden-Eijnden Influential?

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According to Wikipedia, Eric Vanden-Eijnden is a professor of mathematics at the Courant Institute of Mathematical Sciences, New York University. Vanden-Eijnden earned his doctorate in 1997 from the Université libre de Bruxelles under the supervision of Radu Bălescu. In 2009 he was awarded the Germund Dahlquist Prize of the Society for Industrial and Applied Mathematics "for his work in developing mathematical tools and numerical methods for the analysis of dynamical systems that are both stochastic and multiscale", and in 2011 he won SIAM's J.D. Crawford Prize for outstanding research in nonlinear science.

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Eric Vanden-Eijnden's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Finite temperature string method for the study of rare events. (2002) (1197)
Heterogeneous multiscale methods: A review (2007) (755)
Constructing the equilibrium ensemble of folding pathways from short off-equilibrium simulations (2009) (662)
The heterogeneous multiscale method* (2012) (575)
String method in collective variables: minimum free energy paths and isocommittor surfaces. (2006) (574)
Simplified and improved string method for computing the minimum energy paths in barrier-crossing events. (2007) (573)
Transition-path theory and path-finding algorithms for the study of rare events. (2010) (482)
A temperature accelerated method for sampling free energy and determining reaction pathways in rare events simulations (2006) (402)
Towards a Theory of Transition Paths (2006) (391)
Transition Path Theory for Markov Jump Processes (2009) (365)
Mori-Zwanzig formalism as a practical computational tool. (2010) (255)
Minimum action method for the study of rare events (2004) (243)
Systematic Strategies for Stochastic Mode Reduction in Climate (2003) (229)
DENSITY ESTIMATION BY DUAL ASCENT OF THE LOG-LIKELIHOOD ∗ (2010) (224)
Analysis of multiscale methods for stochastic differential equations (2005) (208)
The geometric minimum action method: A least action principle on the space of curves (2008) (201)
Markov state models based on milestoning. (2011) (200)
NUMERICAL TECHNIQUES FOR MULTI-SCALE DYNAMICAL SYSTEMS WITH STOCHASTIC EFFECTS ⁄ (2003) (196)
Transition pathways in complex systems: Reaction coordinates, isocommittor surfaces, and transition tubes (2005) (195)
Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates. (2005) (190)
Illustration of transition path theory on a collection of simple examples. (2006) (180)
Neural Networks as Interacting Particle Systems: Asymptotic Convexity of the Loss Landscape and Universal Scaling of the Approximation Error (2018) (179)
Transition pathways in complex systems: Application of the finite-temperature string method to the alanine dipeptide. (2005) (179)
Revisiting the finite temperature string method for the calculation of reaction tubes and free energies. (2009) (179)
Markovian milestoning with Voronoi tessellations. (2009) (174)
Second-order integrators for Langevin equations with holonomic constraints (2006) (164)
On the assumptions underlying milestoning. (2008) (155)
Large-scale conformational sampling of proteins using temperature-accelerated molecular dynamics (2010) (153)
Low-Order Stochastic Mode Reduction for a Realistic Barotropic Model Climate (2005) (149)
On-the-fly string method for minimum free energy paths calculation (2007) (149)
Blue moon sampling, vectorial reaction coordinates, and unbiased constrained dynamics. (2005) (146)
Solvent coarse-graining and the string method applied to the hydrophobic collapse of a hydrated chain (2007) (143)
Subgrid-Scale Parameterization with Conditional Markov Chains (2008) (141)
Nested stochastic simulation algorithms for chemical kinetic systems with multiple time scales (2007) (136)
The Heterogeneous Multiscale Method: A Review (2007) (129)
A computational strategy for multiscale systems with applications to Lorenz 96 model (2004) (121)
On the Accuracy of Finite-Volume Schemes for Fluctuating Hydrodynamics (2009) (119)
Single-sweep methods for free energy calculations. (2007) (117)
Transition state theory: variational formulation, dynamical corrections, and error estimates. (2005) (115)
DREAM3: Network Inference Using Dynamic Context Likelihood of Relatedness and the Inferelator (2010) (115)
Transition path theory. (2014) (112)
Optimal partition and effective dynamics of complex networks (2008) (112)
Two distinct mechanisms of coherence in randomly perturbed dynamical systems. (2005) (104)
Free energy of conformational transition paths in biomolecules: the string method and its application to myosin VI. (2011) (104)
Mapping the network of pathways of CO diffusion in myoglobin. (2010) (100)
Action minimization and sharp‐interface limits for the stochastic Allen‐Cahn equation (2007) (99)
Rare Event Simulation of Small Noise Diffusions (2012) (98)
Parameters as interacting particles: long time convergence and asymptotic error scaling of neural networks (2018) (97)
Self-induced stochastic resonance in excitable systems (2005) (91)
A general strategy for designing seamless multiscale methods (2009) (90)
Non-asymptotic mixing of the MALA algorithm (2010) (89)
Energy landscape and thermally activated switching of submicron-sized ferromagnetic elements (2003) (87)
Projection of diffusions on submanifolds: Application to mean force computation (2008) (81)
Rogue waves and large deviations in deep sea (2017) (79)
Pathways of maximum likelihood for rare events in nonequilibrium systems: application to nucleation in the presence of shear. (2008) (75)
Exact rate calculations by trajectory parallelization and tilting. (2009) (74)
Noise-induced mixed-mode oscillations in a relaxation oscillator near the onset of a limit cycle. (2008) (74)
Pathwise accuracy and ergodicity of metropolized integrators for SDEs (2009) (72)
The geometric minimum action method for computing minimum energy paths. (2008) (71)
Experimental Evidence of Hydrodynamic Instantons: The Universal Route to Rogue Waves (2019) (68)
Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach (2018) (67)
A reversible mesoscopic model of diffusion in liquids: from giant fluctuations to Fick’s law (2013) (67)
Fitting timeseries by continuous-time Markov chains: A quadratic programming approach (2006) (64)
Stochastic models for selected slow variables in large deterministic systems (2006) (62)
Free energy and kinetics of conformational transitions from Voronoi tessellated milestoning with restraining potentials. (2009) (60)
Some recent techniques for free energy calculations (2009) (60)
A climbing string method for saddle point search. (2013) (59)
Temporal integrators for fluctuating hydrodynamics (2012) (57)
Self‐guided Langevin dynamics via generalized Langevin equation (2016) (55)
Dynamic density functional theory with hydrodynamic interactions and fluctuations. (2014) (55)
Some Recent Progress in Multiscale Modeling (2004) (54)
Magnetic Elements at Finite Temperature and Large Deviation Theory (2005) (54)
Numerical computation of rare events via large deviation theory. (2018) (53)
Flows in Complex Networks: Theory, Algorithms, and Application to Lennard–Jones Cluster Rearrangement (2014) (51)
Reconstruction of diffusions using spectral data from timeseries (2006) (51)
Metastability, conformation dynamics, and transition pathways in complex systems (2004) (50)
Invariant measures of stochastic partial differential equations and conditioned diffusions (2005) (48)
Data Assimilation in the Low Noise Regime with Application to the Kuroshio (2012) (48)
Order-parameter-aided temperature-accelerated sampling for the exploration of crystal polymorphism and solid-liquid phase transitions. (2014) (44)
ON HMM-like integrators and projective integration methods for systems with multiple time scales (2007) (44)
Large Deviations in Fast–Slow Systems (2015) (44)
Geometric approach to optimal nonequilibrium control: Minimizing dissipation in nanomagnetic spin systems. (2016) (43)
The inferelator 2.0: A scalable framework for reconstruction of dynamic regulatory network models (2009) (43)
Exact dynamical coarse-graining without time-scale separation. (2014) (42)
Adaptive Monte Carlo augmented with normalizing flows (2021) (38)
Full kinetics of CO entry, internal diffusion, and exit in myoglobin from transition-path theory simulations. (2015) (38)
A priori tests of a stochastic mode reduction strategy (2002) (38)
Global convergence of neuron birth-death dynamics (2019) (37)
Diffusion Estimation from Multiscale Data by Operator Eigenpairs (2011) (37)
Comparison between Mean Forces and Swarms-of-Trajectories String Methods. (2014) (35)
Multiscale temporal integrators for fluctuating hydrodynamics. (2014) (35)
On the Accuracy of Explicit Finite-Volume Schemes for Fluctuating Hydrodynamics (2009) (34)
Asymptotics of rare events in birth–death processes bypassing the exact solutions (2007) (34)
Noise can play an organizing role for the recurrent dynamics in excitable media (2007) (33)
Reconstructing Free Energy Profiles from Nonequilibrium Relaxation Trajectories (2011) (32)
The String Method as a Dynamical System (2011) (32)
Turbulent Prandtl number effect on passive scalar advection (2001) (31)
Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools (2016) (29)
Simple Systems with Anomalous Dissipation and Energy Cascade (2006) (28)
Rare Events in Stochastic Partial Differential Equations on Large Spatial Domains (2008) (27)
Multiscale implementation of infinite-swap replica exchange molecular dynamics (2016) (27)
Kinetics of phase transitions in two dimensional Ising models studied with the string method (2009) (26)
On-the-fly free energy parameterization via temperature accelerated molecular dynamics. (2012) (26)
Non-meanfield deterministic limits in chemical reaction kinetics. (2005) (25)
A patch that imparts unconditional stability to explicit integrators for Langevin-like equations (2012) (24)
Arclength Parametrized Hamilton's Equations for the Calculation of Instantons (2013) (24)
Calculations of free energy barriers for local mechanisms of hydrogen diffusion in alanates (2008) (24)
A statistical mechanics framework captures the packing of monodisperse particles (2011) (24)
Energy barriers to magnetization reversal in perpendicularly magnetized thin film nanomagnets (2012) (22)
Force-clamp experiments reveal the free-energy profile and diffusion coefficient of the collapse of protein molecules. (2013) (22)
Relevance of instantons in Burgers turbulence (2014) (22)
Metropolis Integration Schemes for Self-Adjoint Diffusions (2013) (22)
Data-Based Inference of Generators for Markov Jump Processes Using Convex Optimization (2009) (22)
Clustering and Classification through Normalizing Flows in Feature Space (2010) (21)
Extreme Event Quantification in Dynamical Systems with Random Components (2018) (21)
Structure and Dynamics of Complex Networks (2012) (21)
Spatiotemporal Self-Organization of Fluctuating Bacterial Colonies. (2017) (21)
Averaged equation for energy diffusion on a graph reveals bifurcation diagram and thermally assisted reversal times in spin-torque driven nanomagnets (2012) (21)
Optimization and Generalization of Shallow Neural Networks with Quadratic Activation Functions (2020) (20)
Emulsion patterns in the wake of a liquid–liquid phase separation front (2018) (20)
Remarks on Drift Estimation for Diffusion Processes (2009) (20)
DATA ASSIMILATION IN THE LOW NOISE, ACCURATE OBSERVATION REGIME WITH APPLICATION TO THE KUROSHIO CURRENT (2012) (19)
A Dynamical Central Limit Theorem for Shallow Neural Networks (2020) (19)
Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials. (2012) (19)
A note on generalized flows (2003) (17)
Testing Transition State Theory on Kac-Zwanzig Model (2007) (17)
Optimized Markov state models for metastable systems. (2016) (16)
A computational strategy for multiscale chaotic systems with applications to Lorenz 96 model (2004) (16)
A conformational transition in the myosin VI converter contributes to the variable step size. (2011) (16)
Stochastic models of polymeric fluids at small Deborah number (2004) (16)
Dynamical Computation of the Density of States and Bayes Factors Using Nonequilibrium Importance Sampling. (2018) (16)
Force-clamp analysis techniques give highest rank to stretched exponential unfolding kinetics in ubiquitin. (2012) (16)
Stability of $2\pi$ Domain Walls in Ferromagnetic Nanorings (2010) (15)
Transition state theory and dynamical corrections in ergodic systems (2006) (15)
Closure Approximations for Passive Scalar Turbulence: A Comparative Study on an Exactly Solvable Model with Complex Features (2003) (15)
Markov state modeling and dynamical coarse-graining via discrete relaxation path sampling. (2015) (15)
A strong limit theorem in the Kac–Zwanzig model (2008) (15)
Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis (2020) (14)
Continuous-time Random Walks for the Numerical Solution of Stochastic Differential Equations (2015) (14)
Force-Clamp Experiments Reveal the Free Energy Profile and Diffusion Coefficient of the Collapse of Proteins (2012) (14)
Regularity and Synchrony in Motor Proteins (2008) (14)
Neuron birth-death dynamics accelerates gradient descent and converges asymptotically (2019) (14)
Wavetrain response of an excitable medium to local stochastic forcing (2006) (14)
Stochastic mode-reduction in models with conservative fast sub-systems (2014) (14)
A Nontrivial Scaling Limit for Multiscale Markov Chains (2007) (13)
Optimal Fuzzy Aggregation of Networks (2010) (13)
Reduced dynamics of stochastically perturbed gradient flows (2010) (12)
Resonant Wave Interaction with Random Forcing and Dissipation (2002) (12)
Neural Galerkin Scheme with Active Learning for High-Dimensional Evolution Equations (2022) (12)
Probing Multi-Scale Energy Landscapes Using the String Method (2002) (12)
Active Importance Sampling for Variational Objectives Dominated by Rare Events: Consequences for Optimization and Generalization (2021) (12)
Building Normalizing Flows with Stochastic Interpolants (2022) (12)
Fluctuations in the heterogeneous multiscale methods for fast–slow systems (2016) (12)
Response to "Comment on 'Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates' †J. Chem. Phys. 123, 194107 "2005…‡" (2007) (12)
Breakup of Universality in the Generalized Spinodal Nucleation Theory (2004) (12)
Regular gaits and optimal velocities for motor proteins. (2008) (12)
The simulated tempering method in the infinite switch limit with adaptive weight learning (2018) (11)
Self-induced stochastic resonance for Brownian ratchets under load (2007) (11)
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach (2018) (10)
Statistical Description of Contact-Interacting Brownian Walkers on the Line (2003) (10)
Nonequilibrium statistics of a reduced model for energy transfer in waves (2007) (9)
Learning with rare data: Using active importance sampling to optimize objectives dominated by rare events (2020) (9)
Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold (2017) (9)
Coarsening by diffusion-annihilation in a bistable system driven by noise (2004) (9)
Energy landscapes and rare events (2002) (9)
Infinite switch simulated tempering in force (FISST). (2019) (8)
Longtime convergence of the temperature-accelerated molecular dynamics method (2017) (7)
Kinetics of O2 Entry and Exit in Monomeric Sarcosine Oxidase via Markovian Milestoning Molecular Dynamics. (2016) (7)
The trees and the forest (2015) (7)
Efficient Bayesian Sampling Using Normalizing Flows to Assist Markov Chain Monte Carlo Methods (2021) (7)
Probability flow solution of the Fokker-Planck equation (2022) (6)
Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit (2017) (6)
Polymorphism at 129 dictates metastable conformations of the human prion protein N-terminal β-sheet† †Electronic supplementary information (ESI) available. See DOI: 10.1039/c6sc03275c Click here for additional data file. (2016) (6)
A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning) (2016) (5)
Anomalous Dissipation in a Stochastically Forced Infinite-Dimensional System of Coupled Oscillators (2006) (5)
Some Critical Issues for the "Equation-Free" Approach to Multiscale Modeling (2008) (5)
Sampling Boltzmann-Gibbs distributions restricted on a manifold with diusions: Application to free energy calculations (2006) (5)
Direct generation of loop-erased transition paths in non-equilibrium reactions. (2016) (4)
Metastability of the Nonlinear Wave Equation: Insights from Transition State Theory (2016) (4)
On Feature Learning in Neural Networks with Global Convergence Guarantees (2022) (4)
Optimal Paths for Spatially Extended Metastable Systems Driven by Noise (2002) (4)
Applied Stochastic Analysis (2019) (4)
On Energy-Based Models with Overparametrized Shallow Neural Networks (2021) (4)
Sharp Asymptotic Estimates for Expectations, Probabilities, and Mean First Passage Times in Stochastic Systems with Small Noise (2021) (4)
Energy barriers for bit-encoding states based on 360° domain walls in ultrathin ferromagnetic nanorings (2015) (4)
The importance of hydrodynamic fluctuations for diffusion in liquids (2013) (3)
Anomalous statistics and large deviations of turbulent water waves past a step (2021) (3)
A granocentric model captures the statistical properties of monodisperse random packings (2012) (3)
Minimum action paths for spin-torque assisted thermally induced magnetization reversal (2011) (3)
Stochastic Interpolants: A Unifying Framework for Flows and Diffusions (2023) (3)
Mapping saddles and minima on free energy surfaces using multiple climbing strings. (2019) (3)
Energy Landscapes and Rare (2008) (2)
New methods: general discussion. (2016) (2)
Markovian Milestoning for Computing Entry, Exit, and Internal Diffusion Rates of Ligands in Proteins (2015) (2)
Learning sparse features can lead to overfitting in neural networks (2022) (2)
Accelerated Simulation of a Heavy Particle in a Gas of Elastic Spheres (2008) (2)
Dual Training of Energy-Based Models with Overparametrized Shallow Neural Networks (2021) (2)
Stability of � Domain Walls in Ferromagnetic Nanorings (2010) (2)
Stability of 2 π domain walls in ferromagnetic nanoringsGabriel (2009) (2)
A patch that imparts unconditional stability to certain explicit integrators for SDEs (2010) (1)
SELF-INDUCED STOCHASTIC RESONANCE FOR BROWNIAN (2007) (1)
2 5 D ec 2 00 5 Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium (2013) (1)
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer Neural Networks (2022) (1)
Lecture 6: Wiener Process (2006) (1)
Learning Optimal Flows for Non-Equilibrium Importance Sampling (2022) (1)
Minimum Action Method for Nonequilibrium Phase Transitions (2022) (1)
A Nontrivial Scaling Limit for Multiscale (2007) (0)
Lecture 7 : Stochastic integrals and stochastic differential equations (2006) (0)
REFRAMING DISSIPATIVE PARTICLE DYNAMICS (2014) (0)
0 60 70 47 v 1 2 2 Ju l 2 00 6 Simple Systems with Anomalous Dissipation and Energy Cascade June 1 st , 2006 (2008) (0)
Theory and modeling of rare events (2007) (0)
Aims and objectives of molecular dynamics simulations (2015) (0)
Final Technical Report - Stochastic Nonlinear Data-Reduction Methods with Detection and Prediction of Critical Rare Event (2013) (0)
Non-Markov Model for Self-Propelling Droplets (2018) (0)
Flows in Complex Networks: Theory, Algorithms, and Application to Lennard–Jones Cluster Rearrangement (2014) (0)
Minimum action paths for single domain ferromagnetic nanostructures under the influence of spin transfer torque (2011) (0)
Encounter and Binding of Camp at the Binding Domain of Mlok1 (2015) (0)
Transition States and the Energy Barrier to Magnetization Reversal of Thin Film Nanomagnets with Perpendicular Anisotropy (2010) (0)
Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit (2019) (0)
Metastability of the Nonlinear Wave Equation: Insights from Transition State Theory (2017) (0)
Non-equilibrium transitions between metastable fixed-points in slow-fast systems undergoing bifurcation (2017) (0)
Noise-driven transition to quasi-deterministic limit cycle dynamics in excitable systems (2003) (0)
Fluctuations in the heterogeneous multiscale methods for fast–slow systems (2017) (0)
Estimating Earthquake-Induced Tsunami Height Probabilities without Sampling (2021) (0)
Generalizations of the string method (2012) (0)
Reversible Diffusive Mixing by Thermal Velocity FluctuationsThe importance of hydrodynamic fluctuations to diffusion in liquids (2013) (0)
Mapping Co Diffusion Paths in Myoglobin with the Single Sweep Method (2010) (0)
FAST COMMUNICATION ON HMM-LIKE INTEGRATORS AND PROJECTIVE INTEGRATION METHODS FOR SYSTEMS WITH MULTIPLE TIME SCALES (2007) (0)
Extreme events, tail statistics, and large deviation theory in geophysical flows (2017) (0)
R EVIEW A RTICLE Heterogeneous Multiscale Methods : A Review (2007) (0)
A rigorous observable for vacancy characterization and diffusion in crystals (2012) (0)
Atomistic simulations of melting and solidification using temperature accelerated molecular dynamics (2013) (0)
Importance sampling with nonequilibrium trajectories (2018) (0)
Estimating earthquake-induced tsunami inundation probabilities without sampling (2021) (0)
Swimming Emulsion Droplets (2018) (0)
Analysis of Explicit Algorithms for Fluctuating Hydrodynamics (2009) (0)
Stochastic models of polymeric fluids at small (2002) (0)
Large Deviations in Fast–Slow Systems (2016) (0)
Turbulent Prandtl number effect on passive scalar (2001) (0)
Metastabilities in the Human Prion Protein N-Terminal Beta-Sheet are Dictated by the 129 Polymorphism (2017) (0)
Stochastic subgrid scale modeling (2010) (0)

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