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Linear, time-varying (LTV) systems composed of time shifts, frequency shifts, and complex amplitude scalings are operators that act on continuous finite-energy waveforms. This paper presents a novel, resource-efficient method for…

Information Theory · Computer Science 2015-06-23 Andrew Harms , Waheed U. Bajwa , Robert Calderbank

This paper introduces a parameter adaptation-based control law for a class of nonlinear, control-affine, safety-critical systems subject to additive, parameter-affine model uncertainty. It is shown that the uncertainty is learned in…

Optimization and Control · Mathematics 2023-08-02 Mitchell Black , Ehsan Arabi , Dimitra Panagou

Supervised Fine-Tuning (SFT) of large language models often suffers from task interference and catastrophic forgetting. Recent approaches alleviate this issue by isolating task-critical parameters during training. However, these methods…

Machine Learning · Computer Science 2026-04-16 Zekai Lin , Chao Xue , Di Liang , Xingsheng Han , Peiyang Liu , Xianjie Wu , Lei Jiang , Yu Lu , Haibo Shi , Shuang Liang , Minlong Peng

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

Methodology · Statistics 2023-05-09 Andrea Arnold

We consider an elliptic linear-quadratic parameter estimation problem with a finite number of parameters. A novel a priori bound for the parameter error is proved and, based on this bound, an adaptive finite element method driven by an a…

Numerical Analysis · Mathematics 2022-09-05 Roland Becker , Michael Innerberger , Dirk Praetorius

We implement an estimator for determining the separation between two incoherent point sources. This estimator relies on image inversion interferometry and when used with the appropriate data analytics, it yields an estimate of the…

Optics · Physics 2016-05-31 Tang Zong Sheng , Kadir Durak , Alexander Ling

Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the…

Chaotic Dynamics · Physics 2016-09-08 Jianping Cai , Meili Lin

A goodness-of-fit test for the fitting of a parametric model to data obtained from a detector with finite resolution and limited acceptance is proposed. The parameters of the model are found by minimization of a statistic that is used for…

Data Analysis, Statistics and Probability · Physics 2015-03-17 N. D. Gagunashvili

In the sequential change-point detection literature, most research specifies a required frequency of false alarms at a given pre-change distribution $f_{\theta}$ and tries to minimize the detection delay for every possible post-change…

Statistics Theory · Mathematics 2007-06-13 Yajun Mei

Interval identification of parameters such as average treatment effects, average partial effects and welfare is particularly common when using observational data and experimental data with imperfect compliance due to the endogeneity of…

Econometrics · Economics 2025-04-09 Sukjin Han , Adam McCloskey

In this paper, an estimator of $m$ instants ($m$ is known) of abrupt changes of the parameter of long-range dependence or self-similarity is proved to satisfy a limit theorem with an explicit convergence rate for a sample of a Gaussian…

Statistics Theory · Mathematics 2008-04-28 Jean-Marc Bardet , Imen Kammoun

The review presents a parameter switching algorithm and his applications which allows numerical approximation of any attractor of a class of continuous-time dynamical systems depending linearly on a real parameter. The considered classes of…

Chaotic Dynamics · Physics 2011-02-16 M. -F. Danca , M. Romera , G. Pastor , F. Montoya

The paper presents a construction of a quantitative measure of variability for parameter estimates in the data fitting problem under interval uncertainty. It shows the degree of variability and ambiguity of the estimate, and the need for…

Numerical Analysis · Mathematics 2020-03-12 Sergey P. Shary

We introduce Temporal consistency for Test-time adaptation (TempT) a novel method for test-time adaptation on videos through the use of temporal coherence of predictions across sequential frames as a self-supervision signal. TempT is an…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Onur Cezmi Mutlu , Mohammadmahdi Honarmand , Saimourya Surabhi , Dennis P. Wall

Estimating the parameters of max-stable parametric models poses significant challenges, particularly when some parameters lie on the boundary of the parameter space. This situation arises when a subset of variables exhibits extreme values…

Methodology · Statistics 2026-04-08 Anas Mourahib , Anna Kiriliouk , Johan Segers

We propose an update estimation method for a diffusion parameter from high-frequency dependent data under a nuisance drift element. We ensure the asymptotic equivalence of the estimator to the corresponding quasi-MLE, which has the…

Statistics Theory · Mathematics 2015-06-30 Yusuke Shimizu

This paper investigates the identification of quantiles and quantile regression parameters when observations are set valued. We define the identification set of quantiles of random sets in a way that extends the definition of quantiles for…

Methodology · Statistics 2020-04-10 Arie Beresteanu , Yuya Sasaki

High order momentum-based parameter update algorithms have seen widespread applications in training machine learning models. Recently, connections with variational approaches have led to the derivation of new learning algorithms with…

Optimization and Control · Mathematics 2021-06-08 Joseph E. Gaudio , Anuradha M. Annaswamy , José M. Moreu , Michael A. Bolender , Travis E. Gibson

This paper considers the problem of identifying the parameters of an uncertain linear system by means of feedback control. The problem is approached by considering time-varying controllers. It is shown that even when the uncertainty set is…

Systems and Control · Computer Science 2015-04-17 G. Battistelli , P. Tesi

Recently, adaptive control systems with relaxed persistent excitation (PE) conditions have been proposed to guarantee true parameter convergence and improve the transient response. However, in some cases, sufficient control performance and…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Satoshi Tsuruhara , Kazuhisa Ito