Data-Driven Model Reduction and Transfer Operator Approximation

Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations

(2017) Hao Wu et al.   JOURNAL OF CHEMICAL PHYSICS

Variational tensor approach for approximating the rare-event kinetics of macromolecular systems

(2016) Feliks Nüske et al.   JOURNAL OF CHEMICAL PHYSICS

Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition

(2016) Bingni W. Brunton et al.   JOURNAL OF NEUROSCIENCE METHODS

Variational cross-validation of slow dynamical modes in molecular kinetics

(2015) Robert T. McGibbon et al.   JOURNAL OF CHEMICAL PHYSICS

Kinetic Distance and Kinetic Maps from Molecular Dynamics Simulation

(2015) Frank Noé et al.   Journal of Chemical Theory and Computation

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

(2015) Matthew O. Williams et al.   JOURNAL OF NONLINEAR SCIENCE

Variational Approach to Molecular Kinetics

(2014) Feliks Nüske et al.   Journal of Chemical Theory and Computation

Sparsity-promoting dynamic mode decomposition

(2014) Mihailo R. Jovanović et al.   PHYSICS OF FLUIDS

A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems

(2014) Gary Froyland et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Identification of slow molecular order parameters for Markov model construction

(2013) Guillermo Pérez-Hernández et al.   JOURNAL OF CHEMICAL PHYSICS

Projected and hidden Markov models for calculating kinetics and metastable states of complex molecules

(2013) Frank Noé et al.   JOURNAL OF CHEMICAL PHYSICS

Improvements in Markov State Model Construction Reveal Many Non-Native Interactions in the Folding of NTL9

(2013) Christian R. Schwantes et al.   Journal of Chemical Theory and Computation

A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems

(2013) Frank Noé et al.   MULTISCALE MODELING & SIMULATION

Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach

(2013) Gary Froyland et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Fuzzy spectral clustering by PCCA+: application to Markov state models and data classification

(2013) Susanna Röblitz et al.   Advances in Data Analysis and Classification

Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

(2012) Igor Mezić   Annual Review of Fluid Mechanics

Applied Koopmanism

(2012) Marko Budišić et al.   CHAOS

Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses

(2012) Kevin K. Chen et al.   JOURNAL OF NONLINEAR SCIENCE

Estimating the Eigenvalue Error of Markov State Models

(2012) Natasa Djurdjevac et al.   MULTISCALE MODELING & SIMULATION

Nonlinear dimensionality reduction in molecular simulation: The diffusion map approach

(2011) Andrew L. Ferguson et al.   CHEMICAL PHYSICS LETTERS

Markov models of molecular kinetics: Generation and validation

(2011) Jan-Hendrik Prinz et al.   JOURNAL OF CHEMICAL PHYSICS

Dynamic mode decomposition of numerical and experimental data

(2010) PETER J. SCHMID   JOURNAL OF FLUID MECHANICS

On the Approximation Quality of Markov State Models

(2010) Marco Sarich et al.   MULTISCALE MODELING & SIMULATION

Spectral analysis of nonlinear flows

(2009) CLARENCE W. ROWLEY et al.   JOURNAL OF FLUID MECHANICS

Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows

(2009) Gary Froyland et al.   PHYSICA D-NONLINEAR PHENOMENA

Discretization of the Frobenius–Perron Operator Using a Sparse Haar Tensor Basis: The Sparse Ulam Method

(2009) Oliver Junge et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems

(2008) R. R. Coifman et al.   MULTISCALE MODELING & SIMULATION