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Identifying parameters in a system of nonlinear, ordinary differential equations is vital for designing a robust controller. However, if the system is stochastic in its nature or if only noisy measurements are available, standard…

Systems and Control · Electrical Eng. & Systems 2022-10-10 Tobias Nagel , Marco F. Huber

We derive finite time error bounds for estimating general linear time-invariant (LTI) systems from a single observed trajectory using the method of least squares. We provide the first analysis of the general case when eigenvalues of the LTI…

Systems and Control · Computer Science 2019-02-14 Tuhin Sarkar , Alexander Rakhlin

This paper introduces a multiple-input discrete Urysohn operator for modelling non-linear control systems and a technique of its identification by processing the observed input and output signals. It is shown that, due to the nature of the…

Optimization and Control · Mathematics 2020-04-07 Michael Poluektov , Andrew Polar

Many problems arising in control require the determination of a mathematical model of the application. This has often to be performed starting from input-output data, leading to a task known as system identification in the engineering…

Machine Learning · Statistics 2023-03-01 Wenqi Cao , Gianluigi Pillonetto

Frequency-domain representations of multirate systems are essential for controller design and performance evaluation of multirate systems and sampled-data control. The aim of this paper is to develop a time-efficient closed-loop…

Systems and Control · Electrical Eng. & Systems 2023-01-16 Max van Haren , Lennart Blanken , Tom Oomen

We propose a novel recursive system identification algorithm for linear autoregressive systems with skewed innovations. The algorithm is based on the variational Bayes approximation of the model with a multivariate normal prior for the…

Systems and Control · Computer Science 2016-12-13 Henri Nurminen , Tohid Ardeshiri

In this work, we present a new class of models, called uncertain-input models, that allows us to treat system-identification problems in which a linear system is subject to a partially unknown input signal. To encode prior information about…

Systems and Control · Computer Science 2017-09-12 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framework that leverages full-path statistics and bridge processes…

Statistical Mechanics · Physics 2025-10-07 Javier Aguilar , Miguel A. Muñoz , Sandro Azaele

This work considers the problem of quickest detection of signals in a coupled system of $N$ sensors, which receive continuous sequential observations from the environment. It is assumed that the signals, which are modeled by general It\^{o}…

Optimization and Control · Mathematics 2016-03-11 Hongzhong Zhang , Olympia Hadjiliadis , Tobias Schäfer , H. Vincent Poor

Few-shot object detection aims to detect instances of specific categories in a query image with only a handful of support samples. Although this takes less effort than obtaining enough annotated images for supervised object detection, it…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Hojun Lee , Myunggi Lee , Nojun Kwak

Subsampling methods have been recently proposed to speed up least squares estimation in large scale settings. However, these algorithms are typically not robust to outliers or corruptions in the observed covariates. The concept of influence…

Machine Learning · Statistics 2014-06-20 Brian McWilliams , Gabriel Krummenacher , Mario Lucic , Joachim M. Buhmann

In this paper, we propose an outlier-robust regularized kernel-based method for linear system identification. The unknown impulse response is modeled as a zero-mean Gaussian process whose covariance (kernel) is given by the recently…

Machine Learning · Statistics 2013-12-25 Giulio Bottegal , Aleksandr Y. Aravkin , Hakan Hjalmarsson , Gianluigi Pillonetto

Few-shot recognition learns a recognition model with very few (e.g., 1 or 5) images per category, and current few-shot learning methods focus on improving the average accuracy over many episodes. We argue that in real-world applications we…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Minghao Fu , Yun-Hao Cao , Jianxin Wu

Analyzing the properties of complex quantum systems is crucial for further development of quantum devices, yet this task is typically challenging and demanding with respect to required amount of measurements. A special attention to this…

Nonlinear system identification is important with a wide range of applications. The typical approaches for nonlinear system identification include Volterra series models, nonlinear autoregressive with exogenous inputs models,…

Systems and Control · Electrical Eng. & Systems 2019-11-28 Hongpeng Zhou , Chahine Ibrahim , Wei Pan

Sampling in control applications is increasingly done non-equidistantly in time. This includes applications in motion control, networked control, resource-aware control, and event-based control. Some of these applications, like the ones…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Rodrigo A. González , Koen Tiels , Tom Oomen

In this paper, we study the design and analysis of optimal detection scheme for sensors that are deployed to monitor the change in the environment and are powered by the energy harvested from the environment. In this type of applications,…

Information Theory · Computer Science 2015-06-15 Jun Geng , Lifeng Lai

Scientific fields such as insider-threat detection and highway-safety planning often lack sufficient amounts of time-series data to estimate statistical models for the purpose of scientific discovery. Moreover, the available limited data…

Machine Learning · Statistics 2018-03-16 Daniel Emaasit , Matthew Johnson

This paper studies the problems of identifiability and estimation in high-dimensional nonparametric latent structure models. We introduce an identifiability theorem that generalizes existing conditions, establishing a unified framework…

Statistics Theory · Mathematics 2025-08-06 Yichen Lyu , Pengkun Yang

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
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