Péter Koltai

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 17

Top Topics

Conditional Expectation

Markov Property

Negative Matrix Factorization

Top Venues

J. Nonlinear Sci.

SIAM J. Appl. Dyn. Syst.

Multiscale Model. Simul.

Publications

Robin Chemnitz, Maximilian Engel, Péter Koltai
Extracting coherent sets in aperiodically driven flows from generators of Mather semigroups. CoRR (2024)
Andreas Bittracher, Mattes Mollenhauer, Péter Koltai, Christof Schütte
Optimal Reaction Coordinates: Variational Characterization and Sparse Computation. Multiscale Model. Simul. 21 (2) (2023)
Robert Polzin, Ilja Klebanov, Nikolas Nüsken, Péter Koltai
Nonnegative matrix factorization for coherent set identification by direct low rank maximum likelihood estimation. CoRR (2023)
Mattes Mollenhauer, Stefan Klus, Christof Schütte, Péter Koltai
Kernel Autocovariance Operators of Stationary Processes: Estimation and Convergence. J. Mach. Learn. Res. 23 (2022)
Feliks Nüske, Péter Koltai, Lorenzo Boninsegna, Cecilia Clementi
Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy 23 (2) (2021)
Andreas Bittracher, Stefan Klus, Boumediene Hamzi, Péter Koltai, Christof Schütte
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds. J. Nonlinear Sci. 31 (1) (2021)
Niklas Wulkow, Péter Koltai, Christof Schütte
Memory-Based Reduced Modelling and Data-Based Estimation of Opinion Spreading. J. Nonlinear Sci. 31 (1) (2021)
Péter Koltai, Johannes von Lindheim, Sebastian Neumayer, Gabriele Steidl
Transfer Operators from Optimal Transport Plans for Coherent Set Detection. CoRR (2020)
Gary Froyland, Péter Koltai, Martin Stahn
Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration. SIAM J. Appl. Dyn. Syst. 19 (3) (2020)
Mattes Mollenhauer, Péter Koltai
Nonparametric approximation of conditional expectation operators. CoRR (2020)
Luzie Helfmann, Enric Ribera Borrell, Christof Schütte, Péter Koltai
Extending Transition Path Theory: Periodically Driven and Finite-Time Dynamics. J. Nonlinear Sci. 30 (6) (2020)
Mattes Mollenhauer, Stefan Klus, Christof Schütte, Péter Koltai
Kernel autocovariance operators of stationary processes: Estimation and convergence. CoRR (2020)
Andreas Bittracher, Péter Koltai, Stefan Klus, Ralf Banisch, Michael Dellnitz, Christof Schütte
Transition Manifolds of Complex Metastable Systems - Theory and Data-Driven Computation of Effective Dynamics. J. Nonlinear Sci. 28 (2) (2018)
Péter Koltai, Christof Schütte
A Multiscale Perturbation Expansion Approach for Markov State Modeling of Nonstationary Molecular Dynamics. Multiscale Model. Simul. 16 (4) (2018)
Péter Koltai, Hao Wu, Frank Noé, Christof Schütte
Optimal Data-Driven Estimation of Generalized Markov State Models for Non-Equilibrium Dynamics. Comput. 6 (1) (2018)
Stefan Klus, Feliks Nüske, Péter Koltai, Hao Wu, Ioannis G. Kevrekidis, Christof Schütte, Frank Noé
Data-Driven Model Reduction and Transfer Operator Approximation. J. Nonlinear Sci. 28 (3) (2018)
Péter Koltai, Michiel Renger
From Large Deviations to Semidistances of Transport and Mixing: Coherence Analysis for Finite Lagrangian Data. J. Nonlinear Sci. 28 (5) (2018)
Andreas Bittracher, Péter Koltai, Oliver Junge
Pseudogenerators of Spatial Transfer Operators. SIAM J. Appl. Dyn. Syst. 14 (3) (2015)
Gary Froyland, Oliver Junge, Péter Koltai
Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach. SIAM J. Numer. Anal. 51 (1) (2013)
Gero Friesecke, Oliver Junge, Péter Koltai
Mean Field Approximation in Conformation Dynamics. Multiscale Model. Simul. 8 (1) (2009)
Oliver Junge, Péter Koltai
Discretization of the Frobenius-Perron Operator Using a Sparse Haar Tensor Basis: The Sparse Ulam Method. SIAM J. Numer. Anal. 47 (5) (2009)