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Article

Rodrigues, D.R. and Everschor-Sitte, K. and Gerber, S. and Horenko, I. (2021) A deeper look into natural sciences with physics-based and data-driven measures. iSCIENCE, 24 (3). pp. 1-13. ISSN 102171

Horenko, I. (2020) On a Scalable Entropic Breaching of the Overtting Barrier for Small Data Problems in Machine Learning. Neural Computation, 32 (8). pp. 1563-1579.

Gerber, S. and Pospisil, L. and Navandar, M. and Horenko, I. (2020) Low-cost scalable discretization, prediction and feature selection for complex systems. Science Advances, 6 (5).

Rosenau, M. and Horenko, I. and Corbi, F. and Rudolf, M. and Kornhuber, R. and Oncken, O. (2019) Synchronization of great subduction megathrust earthquakes: Insights from scale model analysis. Journal of Geophysical Research: Solid Earth, 124 (4). pp. 3646-3661. ISSN 2169-9356

Marchenko, A. and Gagliardini, P. and Horenko, I. (2018) Toward a computationally-tractable maximum entropy principle for non-stationary financial time series. SIAM Journal of Financial Mathematics, 9 (4). pp. 1249-1285. ISSN 1945-497X

Gerber, S. and Olsson, S. and Noé, F. and Horenko, I. (2018) A scalable approach to the computation of invariant measures for high-dimensional Markovian systems. Scientific Reports, 8 (1796). ISSN 2045-2322

Pospisil, L. and Gagliardini, P. and Sawyer, W. and Horenko, I. (2018) On a scalable nonparametric denoising of time series signals. Communications in Applied Mathematics and Computational Science, 13 (1). pp. 107-138.

Gerber, S. and Horenko, I. (2017) Toward a direct and scalable identification of reduced models for categorical processes. Proceedings of the National Academy of Sciences, 114 (19). pp. 4863-4868.

O'Kane, T.J. and Monselesan, D.P. and Risbey, J.S. and Horenko, I. and Franzke, Ch.L.E. (2017) On memory, dimension, and atmospheric teleconnection patterns. Math. Clim. Weather Forecast, 3 (1). pp. 1-27.

Horenko, I. and Gerber, S. (2015) Improving clustering by imposing network information. Science Advances, 1 (7). ISSN 2375-2548

O’Kane, T.J. and Risbey, J.S. and Monselesan, D.P. and Horenko, I. and Franzke, Ch.L.E. (2015) On the dynamics of persistent states and their secular trends in the waveguides of the Southern Hemisphere troposphere. Climate Dynamics . ISSN Print: 0930-7575, Online: 1432-0894

von Larcher, T. and Beck, A. and Klein, R. and Horenko, I. and Metzner, Ph. and Waidmann, M. and Igdalov, D. and Gassner, G. and Munz , C.-D. (2015) Towards a Framework for the Stochastic Modelling of Subgrid Scale Fluxes for Large Eddy Simulation. Meteorologische Zeitschrift, 24 (3). pp. 313-342.

de Wiljes, J. and Putzig, L. and Horenko, I. (2014) Discrete nonhomogeneous and nonstationary logistic and Markov regression models for spatiotemporal data with unresolved external influences. Communications in Applied Mathematics & Computational Science, 9 . pp. 1-46. ISSN 1559-3940

de Wiljes, J. and Majda, A.J. and Horenko, I. (2013) An adaptive Markov Chain Monte Carlo approach to time series clustering of processes with regime transition behavior. SIAM Multiscale Modeling & Simulation, 11 (2). pp. 415-441. ISSN print: 1540-3459; online: 1540-3467

Metzner, Ph. and Putzig, L. and Horenko, I. (2012) Analysis of persistent non-stationary time series and applications. Communications in Applied Mathematics and Computational Science, 7 (2). pp. 175-229.

Horenko, I. and Schütte, Ch. (2010) On metastable conformational analysis of non-equilibrium biomolecular time series. Multiscale Modeling & Simulation, 8 (2). pp. 701-716. ISSN 15403467

Horenko, I. (2010) Finite Element Approach to Clustering of Multidimensional Time Series. J. Sci. Comp., 32 (1). pp. 62-83.

Horenko, I. (2010) On Clustering of Non-stationary Meteorological Time Series. Dyn. of Atm. and Oc., 49 (2-3). pp. 164-187.

Horenko, I. (2010) On the identification of non-stationary factor models and their application to atmospherical data analysis. J. Atm. Sci., 67 (5). pp. 1559-1574.

Horenko, I. (2010) Parameter identification in nonstationary Markov chains with external impact and its application to computational sociology. Multiscale Modeling & Simulation . (Submitted)

Horenko, I. (2009) On metastable conformational analysis of non-equilibrium biomolecular time series. MMS . (Submitted)

Horenko, I. (2009) On robust estimation of low-frequency variability trends in discrete Markovian sequences of atmospherical circulation patterns. The Journal of Atmospherical Sciences, 66 (7). 2059-2072 .

Horenko, I. (2009) On structure-preserving persistent clustering of multivariate time series. Journal of Computational Physics . (Submitted)

Franzke, Ch. and Horenko, I. and Majda, A. J. and Klein, R. (2009) Systematic Metastable Atmospheric Regime Identification in an AGCM. J. Atm. Sci., 66 (7). pp. 1997-2012.

Horenko, I. (2008) Automated Generation of Reduced Stochastic Weather Models I: Simultaneous Dimension and Model Reduction for Time Series Analysis. Multiscale Modeling & Simulation, 6 (4). p. 1125. ISSN 15403467

Horenko, I. and Klein, R. and Dolaptchiev, S. and Schütte, Ch. (2008) Automated Generation of Reduced Stochastic Weather Models I: Simultaneous Dimension and Model reduction for Time Series Analysis. Mult. Mod. Sim., 6 (4). pp. 1125-1145.

Horenko, I. and Schütte, Ch. (2008) Dimension Reduction for Time Series with Hidden Phase Transitions and Economic Applications. Adv. Data Anal. Class., submitted . (Submitted)

Horenko, I. and Schütte, Ch. (2008) Likelihood-Based Estimation of Multidimensional Langevin Models and its Application to Biomolecular Dynamics. Mult. Mod. Sim., 7 (2). pp. 731-773.

Horenko, I. and Dittmer, E. and Lankas, F. and Maddocks, J. and Metzner, Ph. and Schütte, Ch. (2008) Macroscopic Dynamics of Complex Metastable Systems: Theory, Algorithms, and Application to B-DNA. J. Appl. Dyn. Syst., 7 (2). pp. 532-560.

Horenko, I. and Dolaptchiev, S. and Eliseev, A. and Mokhov, I. and Klein, R. (2008) Metastable Decomposition of High-Dimensional Meteorological Data with Gaps. Journal of the Atmospheric Sciences, 65 (11). pp. 3479-3496.

Horenko, I. (2008) On Simultaneous Data-Based Dimension Reduction and Hidden Phase Identification. J. Atm. Sci, 65 (6). pp. 1941-1954.

Horenko, I. (2008) On robust estimation of low-frequency variability trends in discrete Markovian sequences of atmospheric circulation patterns. J. Atm. Sci. . (In Press)

Metzner, Ph. and Horenko, I. and Schütte, Ch. (2007) Generator Estimation of Markov Jump Processes Based on Incomplete Observations Nonequidistant in Time. Phys. Rev. E, 76 (06). 066702.

Noé, F. and Horenko, I. and Schütte, Ch. and Smith, J. C. (2007) Hierarchical Analysis of Conformational Dynamics in Biomolecules: Transition Networks of Metastable States. J. Chem. Phys., 126 (15). p. 155102.

Horenko, I. and Hartmann, C. and Schütte, Ch. and Noé, F. (2007) Data-based Parameter Estimation of Generalized Multidimensional Langevin Processes. Phys. Rev. E, 76 (01). 016706.

Fischer, A. and Waldhausen, S. and Horenko, I. and Meerbach, E. and Schütte, Ch. (2007) Identification of Biomolecular Conformations from Incomplete Torsion Angle Observations by Hidden Markov Models. J. Comp. Chem., 28 (15). pp. 2453-2464.

Horenko, I. and Dittmer, E. and Fischer, A. and Schütte, Ch. (2006) Automated Model Reduction for Complex Systems exhibiting Metastability. Mult. Mod. Sim., 5 (3). pp. 802-827.

Horenko, I. and Lorenz, S. and Schütte, Ch. and Huisinga, W. (2005) Adaptive Approach for Non-Linear Sensitivity Analysis of Reaction Kinetics. J. Comp. Chem., 26 (9). pp. 941-948.

Horenko, I. and Dittmer, E. and Schütte, Ch. (2005) Reduced Stochastic Models for Complex Molecular Systems. Comp. Vis. Sci., 9 (2). pp. 89-102.

Horenko, I. and Weiser, M. and Schmidt, B. and Schütte, Ch. (2004) Fully Adaptive Propagation of the Quantum-Classical Liouville Equation. J. Chem. Phys., 120 (19). pp. 8913-8923.

Horenko, I. and Weiser, M. (2003) Adaptive Integration of Molecular Dynamics. J. Comp. Chem., 24 (15). pp. 1921-1929.

Horenko, I. and Schmidt, B. and Schütte, Ch. (2002) Multidimensional Classical Liouville Dynamics with Quantum Initial Conditions. J. Chem. Phys., 117 (10). pp. 4643-4650.

Horenko, I. and Salzmann, Ch. and Schmidt, B. and Schütte, Ch. (2002) Quantum-Classical Liouville Approach to Molecular Dynamics: Surface Hopping Gaussian Phase-Space Packets. J. Chem. Phys., 117 (24). pp. 11075-11088.

Horenko, I. and Schmidt, B. and Schütte, Ch. (2001) A Theoretical Model for Molecules Interacting with Intense Laser Pulses: The Floquet-based Quantum-Classical Liouville Equation. J. Chem. Phys., 115 (13). pp. 5733-5743.

Book Section

Horenko, I. and Gerber, S. and O'Kane, T.J. and Risbey, J.S. and Monselesan, D.P. (2017) On inference and validation of causality relations in climate teleconnections. In: Nonlinear and Stochastic Climate Dynamics. Cambridge University Press, pp. 184-208. ISBN 9781107118140

Metzner, Ph. and Waidmann, M. and Igdalov, D. and von Larcher, T. and Horenko, I. and Klein, R. and Beck, A. and Gassner, G. (2015) A stochastic closure approach for LES with application to turbulent channel flow. In: Direct and Large-Eddy Simulation IX. ERCOFTAC Series, 20 . Springer. ISBN 978-3-319-14448-1

von Larcher, T. and Klein, R. and Horenko, I. and Metzner, Ph. and Waidmann, M. and Igdalov, D. and Beck, A. and Gassner, G. and Munz , C.-D. (2014) Towards a stochastic closure approach for Large Eddy Simulation. In: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer International Publishing, pp. 883-890. ISBN ISBN 978-3-319-06402-4

Meerbach, E. and Schütte, Ch. and Horenko, I. and Schmidt, B. (2007) Metastable Conformational Structure and Dynamics: Peptides between Gas Phase and Aqueous Solution. In: Analysis and Control of Ultrafast Photoinduced Reactions. Series in Chemical Physics, 87 . Springer, Berlin, pp. 796-806.

Monograph

Horenko, I. and Hartmann, C. (2006) Blind Model Reduction for High-Dimensional Time-Dependent Data. Technical Report. Freie Universität Berlin. (Unpublished)

Conference or Workshop Item

Weiße, A. Y. and Horenko, I. and Huisinga, W. (2006) Adaptive Approach for Modelling Variability in Pharmacokinetics. In: Computational Life Sciences II.

Meerbach, E. and Dittmer, E. and Horenko, I. and Schütte, Ch. (2006) Multiscale Modelling in Molecular Dynamics: Biomolecular Conformations as Metastable States. In: Computer Simulations in Condensed Matter: Systems: From Materials to Chemical Biology. Volume I.

Horenko, I. and Schmidt-Ehrenberg, J. and Schütte, Ch. (2006) Set-Oriented Dimension Reduction: Localizing Principal Component Analysis via Hidden Markov Models. In: Computational Life Sciences II.