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A new way to design parameter estimators with enhanced performance is proposed in the paper. The procedure consists of two stages, first, the generation of new regression forms via the application of a dynamic operator to the original…

系统与控制 · 计算机科学 2020-01-22 Aranovskiy Stanislav , Bobtsov Alexey , Ortega Romeo , Pyrkin Anton

The method of excitation normalization of the regressor, which is used in the estimation loop to solve the plant identification problem, is proposed. It is based on the dynamic regressor extension and mixing procedure. Its application…

统计方法学 · 统计学 2021-05-11 Anton Glushchenko , Vladislav Petrov , Konstantin Lastochkin

We present some new results on the dynamic regressor extension and mixing parameter estimators for linear regression models recently proposed in the literature. This technique has proven instrumental in the solution of several open problems…

系统与控制 · 电气工程与系统科学 2019-08-15 Romeo Ortega , Stanislav Aranovskiy , Anton A. Pyrkin , Alessandro Astolfi , Alexey A. Bobtsov

In this paper, we prove that it is possible to estimate online the parameters of a classical vector linear regression equation $ Y=\Omega \theta$, where $ Y \in \mathbb{R}^n,\;\Omega \in \mathbb{R}^{n \times q}$ are bounded, measurable…

系统与控制 · 电气工程与系统科学 2021-06-17 Marina Korotina , Jose Guadalupe Romero , Stanislav Aranovskiy , Alexey Bobtsov , Romeo Ortega

We propose novel parameter estimation algorithms for a class of dynamical systems with nonlinear parametrization. The class is initially restricted to smooth monotonic functions with respect to a linear functional of the parameters. We show…

动力系统 · 数学 2007-05-23 Ivan Tyukin , Danil Prokhorov , Cees van Leeuwen

In this paper we address the challenging problem of designing globally convergent estimators for the parameters of nonlinear systems containing a non-separable exponential nonlinearity. This class of terms appears in many practical…

动力系统 · 数学 2022-11-17 Romeo Ortega , Alexey Bobtsov , Ramon Costa-Castello , Nikolay Nikolaev

This paper proposes a method for the automatic creation of variables (in the case of regression) that complement the information contained in the initial input vector. The method works as a pre-processing step in which the continuous values…

机器学习 · 计算机科学 2024-03-14 Colin Troisemaine , Vincent Lemaire

Classical regression methods treat covariates as a vector and estimate a corresponding vector of regression coefficients. Modern applications in medical imaging generate covariates of more complex form such as multidimensional arrays…

统计方法学 · 统计学 2013-10-22 Hua Zhou , Lexin Li , Hongtu Zhu

In this paper, we study the problem of parameter estimation in a sensor network, where the measurements and updates of some sensors might be arbitrarily manipulated by adversaries. Despite the presence of such misbehaviors, normally…

系统与控制 · 电气工程与系统科学 2023-06-06 Jiaqi Yan , Kuo Li , Hideaki Ishii

We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter. The method, which solves for the unknown parameter by…

系统与控制 · 电气工程与系统科学 2024-07-16 Simon Kuang , Xinfan Lin

The article investigates an algorithm for identifying an unknown constant parameter for a scalar regression model using a nonlinear operator that allows us to obtain a new regression equation (with an expanded number of unknown parameters)…

系统与控制 · 电气工程与系统科学 2023-05-29 Vladimir Vorobyev , Alexey Bobtsov , Nikolay Nikolaev , Anton Pyrkin

In this paper, we consider the problem of estimating parameters of a linear regression model. Using a hybrid systems framework, a hybrid algorithm is proposed allowing the estimate to converge to the exact value of the unknown parameters in…

系统与控制 · 电气工程与系统科学 2026-03-04 Adnane Saoud , Ryan S. Johnson , Ricardo G. Sanfelice

An ensemble method is introduced that utilizes randomization and loss function gradients to compute a prediction. Multiple weakly-correlated estimators approximate the gradient at randomly sampled points on the error surface and are…

机器学习 · 计算机科学 2020-09-15 Nicholas Smith

For many tasks of data analysis, we may only have the information of the explanatory variable and the evaluation of the response values are quite expensive. While it is impractical or too costly to obtain the responses of all units, a…

统计计算 · 统计学 2023-04-07 Wei Zheng , Ting Tian , Xueqin Wang

In this paper we provide the first solution to the challenging problem of designing a globally exponentially convergent estimator for the parameters of the standard model of a continuous stirred tank reactor. Because of the presence of…

系统与控制 · 电气工程与系统科学 2023-02-14 Anton Pyrkin , Alexey Bobtsov , Romeo Ortega , Jose Guadalupe Romero , Denis Dochain

Heterogeneous but complementary sources of data provide an unprecedented opportunity for developing accurate statistical models of systems. Although the existing methods have shown promising results, they are mostly applicable to situations…

应用统计 · 统计学 2020-08-18 Feng Wang , Mostafa Reisi Gahrooei , Zhen Zhong , Tao Tang , Jianjun Shi

For the general parametric regression models with covariates contaminated with normal measurement errors, this paper proposes an accelerated version of the classical simulation extrapolation algorithm to estimate the unknown parameters in…

统计方法学 · 统计学 2021-07-13 Kanwal Ayub , Weixing Song

Gradient boosting algorithms construct a regression predictor using a linear combination of ``base learners''. Boosting also offers an approach to obtaining robust non-parametric regression estimators that are scalable to applications with…

统计方法学 · 统计学 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

最优化与控制 · 数学 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

A generalization of the dynamic regressor extension and mixing procedure is proposed, which, unlike the original procedure, first, guarantees a reduction of the unknown parameter identification error if the requirement of regressor…

系统与控制 · 电气工程与系统科学 2022-10-04 Anton Glushchenko , Konstantin Lastochkin
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