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In large-scale data processing scenarios, data often arrive in sequential streams generated by complex systems that exhibit drifting distributions and time-varying system parameters. This nonstationarity challenges theoretical analysis, as…

Machine Learning · Computer Science 2026-02-13 Yifei Jin , Xin Zheng , Lei Guo

In multi-state models based on high-dimensional data, effective modeling strategies are required to determine an optimal, ideally parsimonious model. In particular, linking covariate effects across transitions is needed to conduct joint…

Methodology · Statistics 2024-11-27 Kaya Miah , Jelle J. Goeman , Hein Putter , Annette Kopp-Schneider , Axel Benner

Uncertainty in estimating the log-law parameters is arguably the greatest obstacle to establishing definitive conclusions regarding their numerical values and universality. This challenge is exacerbated by the limited number of studies that…

Fluid Dynamics · Physics 2026-04-15 M. Aguiar Ferreira , B. Ganapathisubramani

We study the problem of distributed adaptive estimation over networks where nodes cooperate to estimate physical parameters that can vary over both space and time domains. We use a set of basis functions to characterize the space-varying…

Systems and Control · Computer Science 2015-07-22 Reza Abdolee , Benoit Champagne , Ali H. Sayed

In real data analysis with structural equation modeling, data are unlikely to be exactly normally distributed. If we ignore the non-normality reality, the parameter estimates, standard error estimates, and model fit statistics from normal…

Methodology · Statistics 2021-06-21 Han Du , Peter M. Bentler

Invariable step size based least-mean-square error (ISS-LMS) was considered as a very simple adaptive filtering algorithm and hence it has been widely utilized in many applications, such as adaptive channel estimation. It is well known that…

Information Theory · Computer Science 2015-01-29 Beiyi Liu , Guan Gui , Li Xu , Nobuhiro Shimoi

Shrinkage estimators that possess the ability to produce sparse solutions have become increasingly important to the analysis of today's complex datasets. Examples include the LASSO, the Elastic-Net and their adaptive counterparts.…

Methodology · Statistics 2017-02-09 Hongmei Liu , J. Sunil Rao

Accurate channel estimation is essential for broadband wireless communications. As wireless channels often exhibit sparse structure, the adaptive sparse channel estimation algorithms based on normalized least mean square (NLMS) have been…

Information Theory · Computer Science 2013-11-07 Guan Gui , Linglong Dai , Shinya Kumagai , Fumiyuki Adachi

Nowadays, several data analysis problems require for complexity reduction, mainly meaning that they target at removing the non-influential covariates from the model and at delivering a sparse model. When categorical covariates are present,…

Statistics Theory · Mathematics 2022-12-21 Lea Kaufmann , Maria Kateri

This paper considers generalized least squares (GLS) estimation for linear panel data models. By estimating the large error covariance matrix consistently, the proposed feasible GLS (FGLS) estimator is more efficient than the ordinary least…

Econometrics · Economics 2020-08-06 Jushan Bai , Sung Hoon Choi , Yuan Liao

Data driven soft sensor design has recently gained immense popularity, due to advances in sensory devices, and a growing interest in data mining. While partial least squares (PLS) is traditionally used in the process literature for…

Machine Learning · Statistics 2019-04-25 Aysun Urhan , Burak Alakent

In this paper we propose and test the validity of simple and easy-to-implement algorithms within the immersed boundary framework geared towards large scale simulations involving thousands of deformable bodies in highly turbulent flows.…

Computational Physics · Physics 2018-09-26 Vamsi Spandan , Detlef Lohse , Marco D. de Tullio , Roberto Verzicco

A data filtering method for cluster analysis is proposed, based on minimizing a least squares function with a weighted $\ell_0$-norm penalty. To overcome the discontinuity of the objective function, smooth non-convex functions are employed…

Optimization and Control · Mathematics 2017-05-23 Andrea Cristofari

Graphical models are a powerful tool to estimate a high-dimensional inverse covariance (precision) matrix, which has been applied for a portfolio allocation problem. The assumption made by these models is a sparsity of the precision matrix.…

Econometrics · Economics 2023-04-04 Tae-Hwy Lee , Ekaterina Seregina

Given a discrete dynamical system defined by a map in a vector space over a finite field called Finite State Systems (FSS), a dual linear system over the space of functions on the state space is constructed using the dual map. This system…

Systems and Control · Electrical Eng. & Systems 2020-10-22 Ramachandran Anantharaman , Virendra Sule

Broadband wireless channels usually have the sparse nature. Based on the assumption of Gaussian noise model, adaptive filtering algorithms for reconstruction sparse channels were proposed to take advantage of channel sparsity. However,…

Information Theory · Computer Science 2015-02-20 Guan Gui , Li Xu , Wentao Ma , Badong Chen

We use deep partial least squares (DPLS) to estimate an asset pricing model for individual stock returns that exploits conditioning information in a flexible and dynamic way while attributing excess returns to a small set of statistical…

Pricing of Securities · Quantitative Finance 2022-06-22 Matthew F. Dixon , Nicholas G. Polson , Kemen Goicoechea

The goal of this paper is to propose novel strategies for adaptive learning of signals defined over graphs, which are observed over a (randomly time-varying) subset of vertices. We recast two classical adaptive algorithms in the graph…

Machine Learning · Computer Science 2018-08-01 Paolo Di Lorenzo , Paolo Banelli , Elvin Isufi , Sergio Barbarossa , Geert Leus

We present a new finite-time analysis of the estimation error of the Ordinary Least Squares (OLS) estimator for stable linear time-invariant systems. We characterize the number of observed samples (the length of the observed trajectory)…

Statistics Theory · Mathematics 2020-03-27 Yassir Jedra , Alexandre Proutiere

Large language models (LLMs) have shown strong reasoning capabilities and are increasingly explored for financial trading. Existing LLM-based trading agents, however, largely focus on single-step prediction and lack integrated mechanisms…

Multiagent Systems · Computer Science 2025-11-18 Bijia Liu , Ronghao Dang