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This paper presents adaptive observers for online state and parameter estimation of a class of nonlinear systems motivated by biophysical models of neuronal circuits. We first present a linear-in-the-parameters design that solves a…

系统与控制 · 电气工程与系统科学 2024-02-19 Thiago B. Burghi , Rodolphe Sepulchre

This paper addresses the estimation of a time- varying parameter in a network. A group of agents sequentially receive noisy signals about the parameter (or moving target), which does not follow any particular dynamics. The parameter is not…

最优化与控制 · 数学 2016-03-03 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

This paper presents a regularized recursive identification algorithm with simultaneous on-line estimation of both the model parameters and the algorithms hyperparameters. A new kernel is proposed to facilitate the algorithm development. The…

统计方法学 · 统计学 2024-05-14 Bernard Vau , Tudor-Bogdan Airimitoaie

We propose two algorithms for discrete-time parameter estimation, one for time-varying parameters under persistent excitation (PE) condition, another for constant parameters under no PE condition. For the first algorithm, we show that in…

机器学习 · 计算机科学 2022-03-15 Yingnan Cui , Joseph E. Gaudio , Anuradha M. Annaswamy

We develop an online gradient algorithm for optimizing the performance of product-form networks through online adjustment of control parameters. The use of standard algorithms for finding optimal parameter settings is hampered by the…

最优化与控制 · 数学 2012-08-31 Jaron Sanders , Sem C. Borst , Johan S. H. van Leeuwaarden

This paper studies the problem of online parameter estimation for cyber-physical systems with binary outputs that may be subject to adversarial data tampering. Existing methods are primarily offline and unsuitable for real-time learning. To…

系统与控制 · 电气工程与系统科学 2025-11-13 Jian Guo , Lihong Pei , Wenchao Xue , Yanlong Zhao , Ji-Feng Zhang

In this paper the class of ARCH$(\infty)$ models is generalized to the nonstationary class of ARCH$(\infty)$ models with time-varying coefficients. For fixed time points, a stationary approximation is given leading to the notation ``locally…

统计理论 · 数学 2007-06-13 Rainer Dahlhaus , Suhasini Subba Rao

Causality graphs are routinely estimated in social sciences, natural sciences, and engineering due to their capacity to efficiently represent the spatiotemporal structure of multivariate data sets in a format amenable for human…

信号处理 · 电气工程与系统科学 2020-11-16 Bakht Zaman , Luis Miguel Lopez Ramos , Daniel Romero , Baltasar Beferull-Lozano

With regard to a three-step estimation procedure, proposed without theoretical discussion by Li and You in Journal of Applied Statistics and Management, for a nonparametric regression model with time-varying regression function, local…

统计理论 · 数学 2020-10-27 Jiyanglin Li , Tao Li

Shrinkage algorithms are of great importance in almost every area of statistics due to the increasing impact of big data. Especially time series analysis benefits from efficient and rapid estimation techniques such as the lasso. However,…

统计方法学 · 统计学 2016-06-01 Florian Ziel

Research on algorithmic recourse typically considers how an individual can reasonably change an unfavorable automated decision when interacting with a fixed decision-making system. This paper focuses instead on the online setting, where…

机器学习 · 计算机科学 2024-01-02 Elliot Creager , Richard Zemel

This paper presents extensions of finite-time stability results to some prototypical adaptive control and estimation frameworks. First, we present a novel scheme of online parameter estimation that guarantees convergence of the estimation…

最优化与控制 · 数学 2020-10-20 Kunal Garg , Parag Bobade , Dimitra Panagou

This paper presents a novel online identification algorithm for nonlinear regression models. The online identification problem is challenging due to the presence of nonlinear structure in the models. Previous works usually ignore the…

最优化与控制 · 数学 2022-07-21 Guang-Yong Chen , Min Gan , Jing Chen , Long Chen

Time delay estimation plays a critical role in control, stabilization and state estimation of many practical system with time delay. In this paper, we propose a method to estimate delay for discrete time linear multiple-input…

系统与控制 · 电气工程与系统科学 2021-09-08 Iman Shafikhani , Hazhar Sufi Karimi , Mohammad Mohammadian , Amin Ramezani , Hamid Reza Momeni

This article proposes an online bootstrap scheme for nonparametric level estimation in nonstationary time series. Our approach applies to a broad class of level estimators expressible as weighted sample averages over time windows, including…

统计方法学 · 统计学 2026-03-02 Thomas Nagler , Tobias Brock , Nicolai Palm

In this work, we study the problem of aggregating a finite number of predictors for nonstationary sub-linear processes. We provide oracle inequalities relying essentially on three ingredients: (1) a uniform bound of the $\ell^1$ norm of the…

统计理论 · 数学 2015-11-18 Christophe Giraud , François Roueff , Andres Sanchez-Perez

We consider the problem of estimating piecewise regular functions in an online setting, i.e., the data arrive sequentially and at any round our task is to predict the value of the true function at the next revealed point using the available…

统计理论 · 数学 2022-04-01 Sabyasachi Chatterjee , Subhajit Goswami

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

机器学习 · 统计学 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

Online decision making aims to learn the optimal decision rule by making personalized decisions and updating the decision rule recursively. It has become easier than before with the help of big data, but new challenges also come along.…

机器学习 · 统计学 2020-10-16 Haoyu Chen , Wenbin Lu , Rui Song

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su