Kernel methods for detecting coherent structures in dynamical data

Linearly Recurrent Autoencoder Networks for Learning Dynamics

(2019) Samuel E. Otto et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Simultaneous coherent structure coloring facilitates interpretable clustering of scientific data by amplifying dissimilarity

(2019) Brooke E. Husic et al.   PLoS One

Data-Driven Model Reduction and Transfer Operator Approximation

(2018) Stefan Klus et al.   JOURNAL OF NONLINEAR SCIENCE

Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories

(2018) Gary Froyland et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

VAMPnets for deep learning of molecular kinetics

(2018) Andreas Mardt et al.   Nature Communications

A kernel-based approach to molecular conformation analysis

(2018) Stefan Klus et al.   JOURNAL OF CHEMICAL PHYSICS

Transition Manifolds of Complex Metastable Systems

(2017) Andreas Bittracher et al.   JOURNAL OF NONLINEAR SCIENCE

Identifying finite-time coherent sets from limited quantities of Lagrangian data

(2015) Matthew O. Williams et al.   CHAOS

Lagrangian based methods for coherent structure detection

(2015) Michael R. Allshouse et al.   CHAOS

On fast computation of finite-time coherent sets using radial basis functions

(2015) Gary Froyland et al.   CHAOS

Modeling Molecular Kinetics with tICA and the Kernel Trick

(2015) Christian R. Schwantes et al.   Journal of Chemical Theory and Computation

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

Kernel Embeddings of Conditional Distributions: A Unified Kernel Framework for Nonparametric Inference in Graphical Models

(2013) Le Song et al.   IEEE SIGNAL PROCESSING MAGAZINE

Identification of slow molecular order parameters for Markov model construction

(2013) Guillermo Pérez-Hernández 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

An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems

(2013) Gary Froyland   PHYSICA D-NONLINEAR PHENOMENA

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

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

Transport in time-dependent dynamical systems: Finite-time coherent sets

(2010) Gary Froyland et al.   CHAOS

Dynamic mode decomposition of numerical and experimental data

(2010) PETER J. SCHMID   JOURNAL OF FLUID MECHANICS