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The main contribution of this paper is a new submap joining based approach for solving large-scale Simultaneous Localization and Mapping (SLAM) problems. Each local submap is independently built using the local information through solving a…

机器人学 · 计算机科学 2018-09-20 Liang Zhao , Shoudong Huang , Gamini Dissanayake

The sequential analysis of the problem of joint signal detection and signal-to-noise ratio (SNR) estimation for a linear Gaussian observation model is considered. The problem is posed as an optimization setup where the goal is to minimize…

信息论 · 计算机科学 2017-01-20 M. Fauß , K. G. Nagananda , A. M. Zoubir , H. V. Poor

We consider the problem of efficiently solving large-scale linear least squares problems that have one or more linear constraints that must be satisfied exactly. Whilst some classical approaches are theoretically well founded, they can face…

数值分析 · 数学 2021-12-24 Jennifer Scott , Miroslav Tuma

We consider the problem of solving linear least squares problems in a framework where only evaluations of the linear map are possible. We derive randomized methods that do not need any other matrix operations than forward evaluations,…

数值分析 · 数学 2023-09-15 Dirk A. Lorenz , Felix Schneppe , Lionel Tondji

This paper introduces a novel method for solving the single-source localization problem, specifically addressing the case of trilateration. We formulate the problem as a weighted least-squares problem in the squared distances and…

最优化与控制 · 数学 2025-02-26 Martin Larsson , Viktor Larsson , Kalle Åström , Magnus Oskarsson

In this paper, we propose two algorithms for solving linear inverse problems when the observations are corrupted by noise. A proper data fidelity term (log-likelihood) is introduced to reflect the statistics of the noise (e.g. Gaussian,…

应用统计 · 统计学 2011-03-14 François-Xavier Dupé , Jalal Fadili , Jean-Luc Starck

For solving a wide class of nonconvex and nonsmooth problems, we propose a proximal linearized iteratively reweighted least squares (PL-IRLS) algorithm. We first approximate the original problem by smoothing methods, and second write the…

最优化与控制 · 数学 2016-11-02 Hui Zhang , Tao Sun , Lizhi Cheng

This report shows on real data that the direct methods such as LDL decomposition and Gaussian elimination for solving linear systems with ill-conditioned matrices provide inaccurate results due to divisions by very small numbers, which in…

最优化与控制 · 数学 2023-02-20 Alexander Stotsky

Accurate and reliable localization is crucial for various wireless communication applications. Numerous studies have proposed accurate localization methods using hybrid received signal strength (RSS) and angle of arrival (AOA) measurements.…

信号处理 · 电气工程与系统科学 2023-07-25 Weizhong Ding , Shengming Chang , Shudi Bao

We present a new algorithm designed to improve the signal to noise ratio (SNR) of point and extended source detections in direct imaging data. The novel part of our method is that it finds the linear combination of the science images that…

Linear Least Squares is a very well known technique for parameter estimation, which is used even when sub-optimal, because of its very low computational requirements and the fact that exact knowledge of the noise statistics is not required.…

统计理论 · 数学 2018-10-16 Michael Krikheli , Amir Leshem

In many application of noise cancellation, the changes in signal characteristics could be quite fast. This requires the utilization of adaptive algorithms, which converge rapidly. Least Mean Squares (LMS) and Normalized Least Mean Squares…

声音 · 计算机科学 2011-06-07 Sayed. A. Hadei , M. lotfizad

It is well-known that the noise associated with the collection of an astronomical image by a CCD camera is, in large part, Poissonian. One would expect, therefore, that computational approaches that incorporate this a priori information…

天体物理学 · 物理学 2009-11-10 R. Vio , J. Bardsley , W. Wamsteker

Accurate modeling of complex physical problems, such as fluid-structure interaction, requires multiphysics coupling across the interface, which often has intricate geometry and dynamic boundaries. Conventional numerical methods face…

数值分析 · 数学 2023-08-08 Yunlong Li , Fei Wang

Performance analysis of $l_0$ norm constrained Recursive least Squares (RLS) algorithm is attempted in this paper. Though the performance pretty attractive compared to its various alternatives, no thorough study of theoretical analysis has…

信息论 · 计算机科学 2016-02-11 Samrat Mukhopadhyay , Bijit Kumar Das , Mrityunjoy Chakraborty

Implementing state estimation in low and medium voltage power distribution is still challenging given the scale of many networks and the reliance of traditional methods on a large number of measurements. This paper proposes a method to…

系统与控制 · 计算机科学 2019-12-02 Roel Dobbe , Werner van Westering , Stephan Liu , Daniel Arnold , Duncan Callaway , Claire Tomlin

This paper suggests a nonparametric scheme to find the sparse solution of the underdetermined system of linear equations in the presence of unknown impulsive or non-Gaussian noise. This approach is robust against any variations of the noise…

计算机视觉与模式识别 · 计算机科学 2012-01-16 Mahmoud Ramezani Mayiami , Babak Seyfe

Linear minimum mean square error (LMMSE) receivers are often applied in practical communication scenarios for single-input-multiple-output (SIMO) systems owing to their low computational complexity and competitive performance. However,…

信号处理 · 电气工程与系统科学 2023-12-25 Zanqiu Shen , Jianshe Ma , Ping Su

Many recent problems in signal processing and machine learning such as compressed sensing, image restoration, matrix/tensor recovery, and non-negative matrix factorization can be cast as constrained optimization. Projected gradient descent…

最优化与控制 · 数学 2022-09-07 Trung Vu , Raviv Raich

The majority of multichannel speech enhancement algorithms are two-step procedures that first apply a linear spatial filter, a so-called beamformer, and combine it with a single-channel approach for postprocessing. However, the serial…

音频与语音处理 · 电气工程与系统科学 2021-06-16 Kristina Tesch , Timo Gerkmann