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Extending the ideas of [7], this paper aims at providing a kernel based non-parametric estimation of a new class of time varying AR(1) processes (Xt), with local stationarity and periodic features (with a known period T), inducing the…

Statistics Theory · Mathematics 2018-11-13 Jean-Marc Bardet , Paul Doukhan

Kernel ridge regression, KRR, is a generalization of linear ridge regression that is non-linear in the data, but linear in the model parameters. Here, we introduce an equivalent formulation of the objective function of KRR, which opens up…

Machine Learning · Statistics 2025-03-10 Oskar Allerbo

The problem of corrupted data, missing features, or missing modalities continues to plague the modern machine learning landscape. To address this issue, a class of regularization methods that enforce consistency between imputed and fully…

Machine Learning · Computer Science 2026-02-03 Yinsong Wang , Shahin Shahrampour

The growing demand for personalized decision-making has led to a surge of interest in estimating the Conditional Average Treatment Effect (CATE). Various types of CATE estimators have been developed with advancements in machine learning and…

Machine Learning · Computer Science 2024-11-04 Yiyan Huang , Cheuk Hang Leung , Siyi Wang , Yijun Li , Qi Wu

This paper presents a discrete-time nonlinear system identification method while satisfying the stability and safety properties of the system with high probability. An Extreme Learning Machine (ELM) is used with a Gaussian assumption on the…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Iman Salehi , Tyler Taplin , Ashwin P. Dani

The notion of reproducing kernel Hilbert space (RKHS) has emerged in system identification during the past decade. In the resulting framework, the impulse response estimation problem is formulated as a regularized optimization defined on an…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Mohammad Khosravi , Roy S. Smith

The kernel-based method has been successfully applied in linear system identification using stable kernel designs. From a Gaussian process perspective, it automatically provides probabilistic error bounds for the identified models from the…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Mingzhou Yin , Roy S. Smith

Symbolic data structures for model checking timed systems have been subject to a significant research, with Difference Bound Matrices (DBMs) still being the preferred data structure in several mature verification tools. In comparison,…

Data Structures and Algorithms · Computer Science 2012-11-28 Kenneth Y. Jørgensen , Kim G. Larsen , Jiří Srba

As a promising step, the performance of data analysis and feature learning are able to be improved if certain pattern matching mechanism is available. One of the feasible solutions can refer to the importance estimation of instances, and…

Machine Learning · Computer Science 2020-11-17 Miao Cheng , Xinge You

We present a novel method called Kernel-SME filter for tracking multiple targets when the association of the measurements to the targets is unknown. The method is a further development of the Symmetric Measurement Equation (SME) filter,…

Systems and Control · Computer Science 2012-12-27 Marcus Baum , Uwe D. Hanebeck

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

A new nonparametric approach for system identification has been recently proposed where the impulse response is modeled as the realization of a zero-mean Gaussian process whose covariance (kernel) has to be estimated from data. In this…

Optimization and Control · Mathematics 2016-11-17 Francesca Paola Carli , Tianshi Chen , Lennart Ljung

We introduce a data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the assumption that the nonlinear system behaves…

Optimization and Control · Mathematics 2016-04-04 Jake Bouvrie , Boumediene Hamzi

Kernel-based methods have been successfully introduced in system identification to estimate the impulse response of a linear system. Adopting the Bayesian viewpoint, the impulse response is modeled as a zero mean Gaussian process whose…

Optimization and Control · Mathematics 2022-03-08 Mattia Zorzi

Data-driven control algorithms use observations of system dynamics to construct an implicit model for the purpose of control. However, in practice, data-driven techniques often require excessive sample sizes, which may be infeasible in…

Systems and Control · Electrical Eng. & Systems 2023-01-10 Adam J. Thorpe , Cyrus Neary , Franck Djeumou , Meeko M. K. Oishi , Ufuk Topcu

In this paper, we discuss the problem of system identification when frequency domain side information is available on the system. Initially, we consider the case where the prior knowledge is provided as being the $\Hcal_{\infty}$-norm of…

Optimization and Control · Mathematics 2022-11-08 Mohammad Khosravi , Roy S. Smith

Electrocardiogram (ECG) diagnosis remains challenging due to limited labeled data and the need to capture subtle yet clinically meaningful variations in rhythm and morphology. We present CREMA (Contrastive Regularized Masked Autoencoder), a…

Machine Learning · Computer Science 2025-08-22 Junho Song , Jong-Hwan Jang , DongGyun Hong , Joon-myoung Kwon , Yong-Yeon Jo

There are existing standard solvers for tackling discrete optimization problems. However, in practice, it is uncommon to apply them directly to the large input space typical of this class of problems. Rather, the input is preprocessed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Bolarinwa Olayemi Saheed

Recent advances in domain adaptation show that deep self-training presents a powerful means for unsupervised domain adaptation. These methods often involve an iterative process of predicting on target domain and then taking the confident…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Yang Zou , Zhiding Yu , Xiaofeng Liu , B. V. K. Vijaya Kumar , Jinsong Wang

In the last years, the success of kernel-based regularisation techniques in solving impulse response modelling tasks has revived the interest on linear system identification. In this work, an alternative perspective on the same problem is…

Systems and Control · Computer Science 2016-10-25 Anna Marconato , Maarten Schoukens , Johan Schoukens
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