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We present a unified large system analysis of linear receivers for a class of random matrix channels. The technique unifies the analysis of both the minimum-mean-squared-error (MMSE) receiver and the adaptive least-squares (ALS) receiver,…

Information Theory · Computer Science 2009-09-29 Matthew J. M. Peacock , Iain B. Collings , Michael L. Honig

Class incremental learning (CIL) algorithms aim to continually learn new object classes from incrementally arriving data while not forgetting past learned classes. The common evaluation protocol for CIL algorithms is to measure the average…

Machine Learning · Computer Science 2024-06-26 Sungmin Cha , Jihwan Kwak , Dongsub Shim , Hyunwoo Kim , Moontae Lee , Honglak Lee , Taesup Moon

Sequential data collection has emerged as a widely adopted technique for enhancing the efficiency of data gathering processes. Despite its advantages, such data collection mechanism often introduces complexities to the statistical inference…

Statistics Theory · Mathematics 2023-11-09 Mufang Ying , Koulik Khamaru , Cun-Hui Zhang

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

There is a growing demand for efficient data removal to comply with regulations like the GDPR and to mitigate the influence of biased or corrupted data. This has motivated the field of machine unlearning, which aims to eliminate the…

Machine Learning · Statistics 2026-04-08 Jingyi Xie , Linjun Zhang , Sai Li

I show that ordinary least squares (OLS) predictions can be rewritten as the output of a restricted attention module, akin to those forming the backbone of large language models. This connection offers an alternative perspective on…

Machine Learning · Computer Science 2026-01-13 Philippe Goulet Coulombe

The linear minimal mean square error (LMMSE) estimator for active reconfigurable intelligent surface (RIS)-aided wireless systems is formulated. Furthermore, based on the moment-matching method, we employ the Gamma distribution to…

Information Theory · Computer Science 2023-01-25 Qingchao Li , Mohammed El-Hajjar , Ibrahim Hemadeh , Deepa Jagyasi , Arman Shojaeifard , Lajos Hanzo

Incremental learning is the ability of systems to acquire knowledge over time, enabling their adaptation and generalization to novel tasks. It is a critical ability for intelligent, real-world systems, especially when data changes…

Machine Learning · Computer Science 2025-09-03 Mladjan Jovanovic , Peter Voss

Linear regression in $\ell_p$-norm is a canonical optimization problem that arises in several applications, including sparse recovery, semi-supervised learning, and signal processing. Generic convex optimization algorithms for solving…

Data Structures and Algorithms · Computer Science 2020-01-13 Deeksha Adil , Richard Peng , Sushant Sachdeva

Interactive Machine Learning (IML) is an iterative learning process that tightly couples a human with a machine learner, which is widely used by researchers and practitioners to effectively solve a wide variety of real-world application…

Machine Learning · Computer Science 2018-11-13 Liu Jiang , Shixia Liu , Changjian Chen

This paper investigates statistical inference for noisy matrix completion in a semi-supervised model when auxiliary covariates are available. The model consists of two parts. One part is a low-rank matrix induced by unobserved latent…

Methodology · Statistics 2024-03-27 Shujie Ma , Po-Yao Niu , Yichong Zhang , Yinchu Zhu

The state-of-the-art online learning models generally conduct a single online gradient descent when a new sample arrives and thus suffer from suboptimal model weights. To this end, we introduce an online broad learning system framework with…

Machine Learning · Computer Science 2025-12-09 Chunyu Lei , Guang-Ze Chen , C. L. Philip Chen , Tong Zhang

When the input signal is correlated input signals, and the input and output signal is contaminated by Gaussian noise, the total least squares normalized subband adaptive filter (TLS-NSAF) algorithm shows good performance. However, when it…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Haiquan Zhao , Zian Cao , Yida Chen

In this paper we consider the issue of reliability of measurements in distributed adaptive estimation problem. To this aim, we assume a sensor network with different observation noise variance among the sensors and propose new estimation…

Systems and Control · Computer Science 2015-07-27 Wael M. Bazzi , Amir Rastegarnia , Azam Khalili

Most studies of adaptive algorithm behavior consider performance measures based on mean values such as the mean-square error. The derived models are useful for understanding the algorithm behavior under different environments and can be…

Methodology · Statistics 2023-12-04 Marcos H. Maruo , José Carlos M. Bermudez

We consider the problem of reconstructing rank-one matrices from random linear measurements, a task that appears in a variety of problems in signal processing, statistics, and machine learning. In this paper, we focus on the Alternating…

Machine Learning · Computer Science 2022-04-26 Kiryung Lee , Dominik Stöger

The least trimmed squares (LTS) estimator is a renowned robust alternative to the classic least squares estimator and is popular in location, regression, machine learning, and AI literature. Many studies exist on LTS, including its…

Machine Learning · Statistics 2025-01-10 Yijun Zuo

Incremental processing allows interactive systems to respond based on partial inputs, which is a desirable property e.g. in dialogue agents. The currently popular Transformer architecture inherently processes sequences as a whole,…

Computation and Language · Computer Science 2024-05-03 Patrick Kahardipraja , Brielen Madureira , David Schlangen

We analyze an online learning algorithm that adaptively combines outputs of two constituent algorithms (or the experts) running in parallel to model an unknown desired signal. This online learning algorithm is shown to achieve (and in some…

Machine Learning · Computer Science 2012-10-01 Mehmet A. Donmez , Sait Tunc , Suleyman S. Kozat

In this paper, we discuss the acceleration of the regularized alternating least square (RALS) algorithm for tensor approximation. We propose a fast iterative method using a Aitken-Stefensen like updates for the regularized algorithm.…

Numerical Analysis · Mathematics 2017-07-25 Xiaofei Wang , Carmeliza Navasca , Stefan Kindermann