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Time-varying systems are a challenge in many scientific and engineering areas. Usually, estimation of time-varying parameters or signals must be performed online, which calls for the development of responsive online algorithms. In this…

Optimization and Control · Mathematics 2018-09-10 Sophie M. Fosson

Non-autoregressive (NAR) models have achieved a large inference computation reduction and comparable results with autoregressive (AR) models on various sequence to sequence tasks. However, there has been limited research aiming to explore…

Audio and Speech Processing · Electrical Eng. & Systems 2021-06-17 Pengcheng Guo , Xuankai Chang , Shinji Watanabe , Lei Xie

The classical sparse parameter identification methods are usually based on the iterative basis selection such as greedy algorithms, or the numerical optimization of regularized cost functions such as LASSO and Bayesian posterior probability…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Yanxin Fu , Wenxiao Zhao

We tackle the problem of system identification, where we select inputs, observe the corresponding outputs from the true system, and optimize the parameters of our model to best fit the data. We propose a practical and computationally…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Alexandros E. Tzikas , Mykel J. Kochenderfer

This technical note considers the identification of nonlinear discrete-time systems with additive process noise but without measurement noise. In particular, we propose a method and its associated algorithm to identify the system nonlinear…

Optimization and Control · Mathematics 2015-04-27 Wei Pan , Ye Yuan , Jorge Gonçalves , Guy-Bart Stan

We propose an adaptive model-predictive controller that balances driving the system to a goal state and seeking system observations that are informative with respect to the parameters of a nonlinear autoregressive exogenous model. The…

Systems and Control · Electrical Eng. & Systems 2023-12-27 Wouter M. Kouw

Discrete-time input/output models, also called infinite impulse response (IIR) models or autoregressive moving average (ARMA) models, are useful for online identification as they can be efficiently updated using recursive least squares…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Brian Lai , Dennis S. Bernstein

We consider the identification of non-causal systems with random switching modes (NCSRSM), a class of models essential for describing typical power load management and department store inventory dynamics. The simultaneous identification of…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Yanxin Zhang , Chengpu Yu , Filippo Fabiani

The Nonlinear autoregressive exogenous (NARX) model, which predicts the current value of a time series based upon its previous values as well as the current and past values of multiple driving (exogenous) series, has been studied for…

Machine Learning · Computer Science 2017-08-15 Yao Qin , Dongjin Song , Haifeng Chen , Wei Cheng , Guofei Jiang , Garrison Cottrell

Recently, the sinosoidal output response in power series (SORPS) formalism was presented for system identification and simulation. Based on the concept of characteristic curves (CCs), it establishes a mathematical connection between power…

Strongly Correlated Electrons · Physics 2024-07-04 Federico Javier Gonzalez

This paper presents a system identification technique for systems whose output is asymptotically periodic under constant inputs. The model used for system identification is a discrete-time Lur'e model consisting of asymptotically stable…

Signal Processing · Electrical Eng. & Systems 2020-05-01 Juan A. Paredes , Dennis S. Bernstein

In the present study, a numerical method based on a metaheuristic parametric algorithm has been developed to identify the constitutive parameters of hyperelastic models, by using FE simulations and full kinematic field measurements. The…

Classical Physics · Physics 2019-07-08 G Bastos , A Tayeb , N. Di Cesare , Jean-Benoit Le Cam , E Robin

Online system identification algorithms are widely used for monitoring, diagnostics and control by continuously adapting to time-varying dynamics. Typically, these algorithms consider a model structure that lacks parsimony and offers…

Systems and Control · Electrical Eng. & Systems 2025-04-28 Koen Classens , Rodrigo A. González , Tom Oomen

In the present work, neural networks are applied to formulate parametrised hyperelastic constitutive models. The models fulfill all common mechanical conditions of hyperelasticity by construction. In particular, partially input-convex…

Computational Engineering, Finance, and Science · Computer Science 2023-07-10 Dominik K. Klein , Fabian J. Roth , Iman Valizadeh , Oliver Weeger

The problem of estimating ARMA models is computationally interesting due to the nonconcavity of the log-likelihood function. Recent results were based on the convex minimization. Joint model selection using penalization by a convex norm,…

Statistics Theory · Mathematics 2015-08-10 Stéphane Chrétien , Tianwen Wei , Basad Ali Hussain Al-sarray

Predictive linear and nonlinear models based on kernel machines or deep neural networks have been used to discover dependencies among time series. This paper proposes an efficient nonlinear modeling approach for multiple time series, with a…

Machine Learning · Computer Science 2023-10-02 Kevin Roy , Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

This paper addresses the problem of inferring a hybrid automaton from a set of input-output traces of a hybrid system exhibiting discrete mode switching between continuously evolving dynamics. Existing approaches mainly adopt a…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Hengzhi Yu , Bohan Ma , Mingshuai Chen , Huangying Dong , Jie An , Bin Gu , Naijun Zhan , Jianwei Yin

The industrial application motivating this work is the fatigue computation of aircraft engines' high-pressure turbine blades. The material model involves nonlinear elastoviscoplastic behavior laws, for which the parameters depend on the…

Numerical Analysis · Mathematics 2019-08-12 Fabien Casenave , Nissrine Akkari

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

Systems and Control · Computer Science 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski

In this paper, we study the identification of two challenging benchmark problems using neural networks. Two different global optimization approaches are used to train a recurrent neural network to identify two challenging nonlinear models,…

Signal Processing · Electrical Eng. & Systems 2018-05-02 Hamid Khodabandehlou , Mohammed Sami Fadali