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Identifying the main features and learning the causal relationships of a dynamic system from time-series of sensor data are key problems in many real-world robot applications. In this paper, we propose an extension of a state-of-the-art…

Robotics · Computer Science 2023-02-21 Luca Castri , Sariah Mghames , Marc Hanheide , Nicola Bellotto

We examine an analytic variational inference scheme for the Gaussian Process State Space Model (GPSSM) - a probabilistic model for system identification and time-series modelling. Our approach performs variational inference over both the…

Machine Learning · Statistics 2018-12-11 Alessandro Davide Ialongo , Mark van der Wilk , Carl Edward Rasmussen

Data assimilation methods aim at estimating the state of a system by combining observations with a physical model. When sequential data assimilation is considered, the joint distribution of the latent state and the observations is described…

Methodology · Statistics 2018-04-23 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet , Pierre Tandeo

In this work, we aim to provide a new and efficient recursive detection method for temporarily monitored signals. Motivated by the case of the propagation of an event over a field of sensors, we assumed that the change in the statistical…

Applications · Statistics 2022-03-17 V. Watson , F. Septier , P. Armand , C. Duchenne

Identification of nonlinear systems is a challenging problem. Physical knowledge of the system can be used in the identification process to significantly improve the predictive performance by restricting the space of possible mappings from…

Computation · Statistics 2022-10-27 Anna Wigren , Johan Wågberg , Fredrik Lindsten , Adrian Wills , Thomas B. Schön

Power system dynamic state estimation is essential to monitoring and controlling power system stability. Kalman filtering approaches are predominant in estimation of synchronous machine dynamic states (i.e. rotor angle and rotor speed).…

Systems and Control · Computer Science 2017-02-03 Shahrokh Akhlaghi , Ning Zhou

The detection of rare variants is important for understanding the genetic heterogeneity in mixed samples. Recently, next-generation sequencing (NGS) technologies have enabled the identification of single nucleotide variants (SNVs) in mixed…

Genomics · Quantitative Biology 2016-04-25 Fan Zhang , Patrick Flaherty

Classical quickest change detection algorithms require modeling pre-change and post-change distributions. Such an approach may not be feasible for various machine learning models because of the complexity of computing the explicit…

Machine Learning · Statistics 2023-02-02 Suya Wu , Enmao Diao , Taposh Banerjee , Jie Ding , Vahid Tarokh

The Gaussian process state space model (GPSSM) is a non-linear dynamical system, where unknown transition and/or measurement mappings are described by GPs. Most research in GPSSMs has focussed on the state estimation problem, i.e.,…

Machine Learning · Statistics 2017-11-08 Stefanos Eleftheriadis , Thomas F. W. Nicholson , Marc Peter Deisenroth , James Hensman

Regime switching is ubiquitous in many complex dynamical systems with multiscale features, chaotic behavior, and extreme events. In this paper, a causation entropy boosting (CEBoosting) strategy is developed to facilitate the detection of…

Dynamical Systems · Mathematics 2024-10-15 Chuanqi Chen , Nan Chen , Jin-Long Wu

In this paper, we propose a novel algorithm for the identification of Hammerstein systems. Adopting a Bayesian approach, we model the impulse response of the unknown linear dynamic system as a realization of a zero-mean Gaussian process.…

Systems and Control · Computer Science 2016-05-20 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

For identification of systems embedded in dynamic networks, applying the prediction error method (PEM) to a correct tailor-made parametrization of the complete network provided asymptotically efficient estimates. However, the network…

Systems and Control · Computer Science 2018-03-21 Miguel Galrinho , Riccardo Prota , Mina Ferizbegovic , Håkan Hjalmarsson

In this article, an overview of Bayesian methods for sequential simulation from posterior distributions of nonlinear and non-Gaussian dynamic systems is presented. The focus is mainly laid on sequential Monte Carlo methods, which are based…

Methodology · Statistics 2023-04-28 Konstantinos E. Tatsis , Vasilis K. Dertimanis , Eleni N. Chatzi

Understanding causal relationships in multivariate time series is crucial in many scenarios, such as those dealing with financial or neurological data. Many such time series exhibit multiple regimes, i.e., consecutive temporal segments with…

Machine Learning · Computer Science 2025-10-24 Abdellah Rahmani , Pascal Frossard

The paper suggests a generalization of the Sign-Perturbed Sums (SPS) finite sample system identification method for the identification of closed-loop observable stochastic linear systems in state-space form. The solution builds on the…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Szabolcs Szentpéteri , Balázs Csanád Csáji

This paper introduces an approach to multi-stream quickest change detection and fault isolation for unnormalized and score-based statistical models. Traditional optimal algorithms in the quickest change detection literature require explicit…

Signal Processing · Electrical Eng. & Systems 2025-11-07 Wuxia Chen , Sean Moushegian , Vahid Tarokh , Taposh Banerjee

In this work, we consider a sensor selection drawn at random by a sampling with replacement policy for a linear time-invariant dynamical system subject to process and measurement noise. We employ the Kalman filter to estimate the state of…

Systems and Control · Electrical Eng. & Systems 2023-03-15 Christopher I. Calle , Shaunak D. Bopardikar

In contemporary scientific research, understanding the distinction between correlation and causation is crucial. While correlation is a widely used analytical standard, it does not inherently imply causation. This paper addresses the…

Machine Learning · Computer Science 2023-12-27 Cao Zhihao , Qu Hongchun

Distributed parameter identification for large-scale multi-agent networks encounters challenges due to nonlinear dynamics and partial observations. Simultaneously, ensuring the stability is crucial for the robust identification of dynamic…

Dynamical Systems · Mathematics 2024-01-09 Chunhui Li , Chengpu Yu

Detecting abrupt changes in real-time data streams from scientific simulations presents a challenging task, demanding the deployment of accurate and efficient algorithms. Identifying change points in live data stream involves continuous…