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The method of ``Total Least Squares'' is proposed as a more natural way (than ordinary least squares) to approximate the data if both the matrix and and the right-hand side are contaminated by ``errors''. In this tutorial note, we give a…

Rings and Algebras · Mathematics 2025-10-20 P. P. N. de Groen

We present a new method to detect planetary transits from time-series photometry, the Transit Least Squares (TLS) algorithm. TLS searches for transit-like features while taking the stellar limb darkening and planetary ingress and egress…

Earth and Planetary Astrophysics · Physics 2019-03-06 Michael Hippke , René Heller

We propose a version of least-mean-square (LMS) algorithm for sparse system identification. Our algorithm called online linearized Bregman iteration (OLBI) is derived from minimizing the cumulative prediction error squared along with an…

Information Theory · Computer Science 2012-10-03 Tao Hu , Dmitri B. Chklovskii

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

Navigation and exploration within unknown environments are typical examples in which simultaneous localization and mapping (SLAM) algorithms are applied. When mobile agents deploy only range sensors without bearing information, the agents…

Systems and Control · Electrical Eng. & Systems 2023-07-10 Matteo Marcantoni , Bayu Jayawardhana , Kerstin Bunte

The recovery of sparse data is at the core of many applications in machine learning and signal processing. While such problems can be tackled using $\ell_1$-regularization as in the LASSO estimator and in the Basis Pursuit approach,…

Optimization and Control · Mathematics 2021-11-15 Christian Kümmerle , Claudio Mayrink Verdun , Dominik Stöger

In this paper we apply an extended Kalman filter to track both the location and the orientation of a mobile target from multistatic response measurements. We also analyze the effect of the limited-view aspect on the stability and the…

Numerical Analysis · Computer Science 2012-12-17 Habib Ammari , Thomas Boulier , Josselin Garnier , Hyeonbae Kang , Han Wang

Zero-attracting least-mean-square (ZA-LMS) algorithm has been widely used for online sparse system identification. It combines the LMS framework and $\ell_1$-norm regularization to promote sparsity, and relies on subgradient iterations.…

Performance · Computer Science 2016-12-21 Jie Chen , Cedric Richard , Yingying Song , David Brie

Motivated by single-particle cryo-electron microscopy, multi-reference alignment (MRA) models the task of recovering an unknown signal from multiple noisy observations corrupted by random rotations. The standard approach,…

Signal Processing · Electrical Eng. & Systems 2026-01-09 Shay Kreymer , Amnon Balanov , Tamir Bendory

In this paper, we investigate a non-lineof-sight (NLOS) sensing problem at terahertz frequencies. To be able to observe the targets shadowed by a blockage, we propose a method using reconfigurable intelligent surfaces (RIS). We employ a…

Signal Processing · Electrical Eng. & Systems 2024-08-16 Furkan H. Ilgac , Emrah Cisija , Aya Mostafa Ahmed , Musa Furkan Keskin , Aydin Sezgin , Henk Wymeersch

The Laser Interferometer Space Antenna (LISA) mission features a three-spacecraft long-arm constellation intended to detect gravitational wave sources in the low-frequency band up to 1 Hz via laser interferometry. The paper presents an…

Instrumentation and Detectors · Physics 2022-08-24 Niklas Houba , Simon Delchambre , Tobias Ziegler , Gerald Hechenblaikner , Walter Fichter

Vision-based estimation of the motion of a moving target is usually formulated as a bearing-only estimation problem where the visual measurement is modeled as a bearing vector. Although the bearing-only approach has been studied for…

Robotics · Computer Science 2024-02-06 Zian Ning , Yin Zhang , Jianan Li , Zhang Chen , Shiyu Zhao

Multi-target state estimation refers to estimating the number of targets and their trajectories in a surveillance area using measurements contaminated with noise and clutter. In the Bayesian paradigm, the most common approach to…

Computers and Society · Computer Science 2022-10-11 Diluka Moratuwage , Changbeom Shim , Yuthika Punchihewa

To improve the localization precision of unmanned aerial vehicle (UAV), a novel framework is established by jointly utilizing multiple measurements of received signal strength (RSS) from multiple base stations (BSs) and multiple points on…

Signal Processing · Electrical Eng. & Systems 2020-11-04 Yifan Li , Feng Shu , Baihua Shi , Xin Cheng , Yaoliang Song , Jiangzhou Wang

Motivated by the Bagging Partial Least Squares (PLS) and Principal Component Analysis (PCA) algorithms, we propose a Principal Model Analysis (PMA) method in this paper. In the proposed PMA algorithm, the PCA and the PLS are combined. In…

Machine Learning · Computer Science 2019-02-08 Qiwei Xie , Liang Tang , Weifu Li , Vijay John , Yong Hu

Large Language Models (LLMs) possess encompassing capabilities that can process diverse language-related tasks. However, finetuning on LLMs will diminish this general skills and continual finetuning will further cause severe degradation on…

Machine Learning · Computer Science 2025-07-09 Kai Tong , Kang Pan , Xiao Zhang , Erli Meng , Run He , Yawen Cui , Nuoyan Guo , Huiping Zhuang

Within the context of recursive least squares (RLS) parameter estimation, the goal of the present paper is to study the effect of regularization-induced bias on the transient and asymptotic accuracy of the parameter estimates. We consider…

Systems and Control · Electrical Eng. & Systems 2021-09-01 Brian Lai , Syed Aseem Ul Islam , Dennis S. Bernstein

This study proposes sparse estimation methods for the generalized linear models, which run one of least angle regression (LARS) and least absolute shrinkage and selection operator (LASSO) in the tangent space of the manifold of the…

Machine Learning · Statistics 2020-07-20 Yoshihiro Hirose

The shift to the radiative near field region due to large antenna arrays necessitates beamforming that accounts for both angle and range, evolving mobility management into a joint angular range tracking challenge. Conventional schemes rely…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Junchi Liu , Zijun Wang , Shawn Tsai , Rui Zhang

Least-Squares Reverse-Time Migration (LSRTM) is a method that seismologists utilize to compute a high-resolution subsurface image. Nevertheless, LSRTM is a computationally demanding problem. One way to reduce the computational costs of the…

Geophysics · Physics 2025-09-12 Aydin Shoja , Joost van der Neut , Kees Wapenaar