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In this study, we employ the recently developed recurrence microstate probabilities as features to improve accuracy of several well-established machine learning (ML) algorithms. These algorithms are applied to classify discrete and…

Chaotic Dynamics · Physics 2025-12-15 J. V. M. Silveira , H. C. Costa , G. S. Spezzatto , T. L. Prado , S. R. Lopes

While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

Machine Learning · Statistics 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht

In this study, we present a method for classifying dynamical systems using a hybrid approach involving recurrence plots and a convolution neural network (CNN). This is performed by obtaining the recurrence matrix of a time series generated…

Data Analysis, Statistics and Probability · Physics 2021-11-02 Daniel Han , Giuseppe Orlando , Sergei Fedotov

Determination of the nature of the dynamical state of a system as a function of its parameters is an important problem in the study of dynamical systems. This problem becomes harder in experimental systems where the obtained data is…

Chaotic Dynamics · Physics 2024-08-29 Rishab Antosh , Sanjit Das , N. Nirmal Thyagu

The emergent dynamics of complex systems often arise from the internal dynamical interactions among different elements and hence is to be modeled using multiple variables that represent the different dynamical processes. When such systems…

Chaotic Dynamics · Physics 2024-11-05 Shivam Kumar , R. Misra , G. Ambika

Dynamical systems are used to model a variety of phenomena in which the bifurcation structure is a fundamental characteristic. Here we propose a statistical machine-learning approach to derive lowdimensional models that automatically…

Quantitative Methods · Quantitative Biology 2015-06-11 Yohei Kondo , Kunihiko Kaneko , Shuji Ishihara

In this paper we propose a novel machine-learning method for anomaly detection applicable to data with periodic characteristics where randomly varying period lengths are explicitly allowed. A multi-dimensional time series analysis is…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Lia Ahrens , Julian Ahrens , Hans D. Schotten

The identification of a nonlinear dynamic model is an open topic in control theory, especially from sparse input-output measurements. A fundamental challenge of this problem is that very few to zero prior knowledge is available on both the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Steeven Janny , Quentin Possamai , Laurent Bako , Madiha Nadri , Christian Wolf

This research proposes a machine learning-based attack detection model for power systems, specifically targeting smart grids. By utilizing data and logs collected from Phasor Measuring Devices (PMUs), the model aims to learn system…

Machine Learning · Computer Science 2023-07-10 Diane Tuyizere , Remy Ihabwikuzo

In this work, we consider the class of multi-state autoregressive processes that can be used to model non-stationary time-series of interest. In order to capture different autoregressive (AR) states underlying an observed time series, it is…

Machine Learning · Statistics 2015-10-13 Jie Ding , Mohammad Noshad , Vahid Tarokh

A new algorithm is presented for reconstructing stochastic nonlinear dynamical models from noisy time-series data. The approach is analytical; consequently, the resulting algorithm does not require an extensive global search for the model…

Other Condensed Matter · Physics 2009-11-10 V. N. Smelyanskiy , D. G. Luchinsky , D. A. Timucin , A. Bandrivskyy

Available methods for identification of stochastic dynamical systems from input-output data generally impose restricting structural assumptions on either the noise structure in the data-generating system or the possible state probability…

Systems and Control · Electrical Eng. & Systems 2024-05-02 Gerben I. Beintema , Maarten Schoukens , Roland Tóth

The data-driven recovery of the unknown governing equations of dynamical systems has recently received an increasing interest. However, the identification of governing equations remains challenging when dealing with noisy and partial…

Machine Learning · Computer Science 2021-02-17 Duong Nguyen , Said Ouala , Lucas Drumetz , Ronan Fablet

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

Dynamical Systems · Mathematics 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

We introduce and test a general machine-learning-based technique for the inference of short term causal dependence between state variables of an unknown dynamical system from time series measurements of its state variables. Our technique…

Adaptation and Self-Organizing Systems · Physics 2020-12-18 Amitava Banerjee , Jaideep Pathak , Rajarshi Roy , Juan G. Restrepo , Edward Ott

Inferring control parameters in non-linear dynamical systems is an important task in analysing general dynamical behaviours, particularly in the presence of inherently deterministic chaos. Traditional approaches often rely on…

Chaotic Dynamics · Physics 2025-06-19 L. Lober , M. S. Palmero , F. A. Rodrigues

We apply machine learning techniques in an attempt to predict and classify stellar properties from noisy and sparse time series data. We preprocessed over 94 GB of Kepler light curves from MAST to classify according to ten distinct physical…

Instrumentation and Methods for Astrophysics · Physics 2018-06-27 Trisha Hinners , Kevin Tat , Rachel Thorp

Machine-learning and neural-network approaches have gained huge attention in the context of quantum science and technology in recent years. One of the most essential tasks for the future development of quantum technologies is the…

Quantum Physics · Physics 2020-05-18 Valentin Gebhart , Martin Bohmann

Inferring behavior model of a running software system is quite useful for several automated software engineering tasks, such as program comprehension, anomaly detection, and testing. Most existing dynamic model inference techniques are…

Machine Learning · Computer Science 2020-08-31 Mohammad Jafar Mashhadi , Hadi Hemmati

Deriving meaningful information from observational data is often restricted by many limiting factors, the most important of which is the presence of noise. In this work, we present the use of the bicoherence function to extract information…

Chaotic Dynamics · Physics 2017-06-21 Sandip V. George , G. Ambika , R. Misra
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