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Gaussian mixtures are a powerful and widely used tool to model non-Gaussian estimation problems. They are able to describe measurement errors that follow arbitrary distributions and can represent ambiguity in assignment tasks like point set…

机器人学 · 计算机科学 2021-04-02 Tim Pfeifer , Sven Lange , Peter Protzel

We propose an indoor localization algorithm for visible light systems by considering effects of non-line-of-sight (NLOS) propagation. The proposed algorithm, named database assisted nonlinear least squares (DA-NLS), utilizes ideas from both…

信号处理 · 电气工程与系统科学 2021-05-11 Ahmet Faruk Saz , Sinan Gezici

This paper is concerned with the introduction of Tikhonov regularization into least squares approximation scheme on $[-1,1]$ by orthonormal polynomials, in order to handle noisy data. This scheme includes interpolation and…

数值分析 · 数学 2021-08-31 Congpei An , Hao-Ning Wu

The paper provides a thorough investigation of Direct loss minimization (DLM), which optimizes the posterior to minimize predictive loss, in sparse Gaussian processes. For the conjugate case, we consider DLM for log-loss and DLM for square…

机器学习 · 计算机科学 2020-10-29 Yadi Wei , Rishit Sheth , Roni Khardon

We consider multi-antenna wireless systems aided by large intelligent surfaces (LIS). LIS presents a new physical layer technology for improving coverage and energy efficiency by intelligently controlling the propagation environment. In…

信号处理 · 电气工程与系统科学 2020-11-17 Neel Kanth Kundu , Matthew R. McKay

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…

环与代数 · 数学 2025-10-20 P. P. N. de Groen

In this paper, we study a fast approximation method for {\it large-scale high-dimensional} sparse least-squares regression problem by exploiting the Johnson-Lindenstrauss (JL) transforms, which embed a set of high-dimensional vectors into a…

统计理论 · 数学 2015-07-21 Tianbao Yang , Lijun Zhang , Qihang Lin , Rong Jin

This work presents a new variation of the commonly used Least Mean Squares Algorithm (LMS) for the identification of sparse signals with an a-priori known sparsity using a hard threshold operator in every iteration. It examines some useful…

系统与控制 · 计算机科学 2016-08-04 Lampros Flokas , Petros Maragos

We present a novel application of a recently-proposed matrix-parametrized proximal splitting method to sensor network localization, the problem of estimating the locations of a set of sensors using only noisy pairwise distance information…

最优化与控制 · 数学 2025-03-18 Peter Barkley , Robert L. Bassett

The unit-modulus least squares (UMLS) problem has a wide spectrum of applications in signal processing, e.g., phase-only beamforming, phase retrieval, radar code design, and sensor network localization. Scalable first-order methods such as…

最优化与控制 · 数学 2022-07-04 Trung Vu , Raviv Raich , Xiao Fu

We present a technique that improves the signal-to-noise-ratio (SNR) of range-finding, sensing, and other light-detection applications. The technique filters out low photon numbers using photon-number-resolving detectors (PNRDs). This…

Sum-of-squares objective functions are very popular in computer vision algorithms. However, these objective functions are not always easy to optimize. The underlying assumptions made by solvers are often not satisfied and many problems are…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Ronald Clark , Michael Bloesch , Jan Czarnowski , Stefan Leutenegger , Andrew J. Davison

Conventional speaker localization algorithms, based merely on the received microphone signals, are often sensitive to adverse conditions, such as: high reverberation or low signal to noise ratio (SNR). In some scenarios, e.g. in meeting…

声音 · 计算机科学 2015-08-14 Bracha Laufer-Goldshtein , Ronen Talmon , Sharon Gannot

Linear regression without correspondences is the problem of performing a linear regression fit to a dataset for which the correspondences between the independent samples and the observations are unknown. Such a problem naturally arises in…

机器学习 · 计算机科学 2019-10-07 Manolis C. Tsakiris , Liangzu Peng , Aldo Conca , Laurent Kneip , Yuanming Shi , Hayoung Choi

This article considers algorithmic and statistical aspects of linear regression when the correspondence between the covariates and the responses is unknown. First, a fully polynomial-time approximation scheme is given for the natural least…

机器学习 · 计算机科学 2017-11-09 Daniel Hsu , Kevin Shi , Xiaorui Sun

We study the problem of signal source localization using received signal strength measurements. We begin by presenting verifiable geometric conditions for sensor deployment that ensure the model's asymptotic localizability. Then we…

系统与控制 · 电气工程与系统科学 2025-05-20 Shenghua Hu , Guangyang Zeng , Wenchao Xue , Haitao Fang , Junfeng Wu , Biqiang Mu

For supervised classification problems, this paper considers estimating the query's label probability through local regression using observed covariates. Well-known nonparametric kernel smoother and $k$-nearest neighbor ($k$-NN) estimator,…

机器学习 · 统计学 2022-07-25 Ruixing Cao , Akifumi Okuno , Kei Nakagawa , Hidetoshi Shimodaira

An asymptotically optimal blind calibration scheme of uniform linear arrays for narrowband Gaussian signals is proposed. Rather than taking the direct Maximum Likelihood (ML) approach for joint estimation of all the unknown model…

信号处理 · 电气工程与系统科学 2020-09-01 Amir Weiss , Arie Yeredor

Underwater acoustic localization has traditionally been challenging due to the presence of unknown environmental structure and dynamic conditions. The problem is richer still when such structure includes occlusion, which causes the loss of…

信号处理 · 电气工程与系统科学 2023-02-06 Amir Weiss , Toros Arikan , Hari Vishnu , Grant B. Deane , Andrew C. Singer , Gregory W. Wornell

This paper presents a fast approach for penalized least squares (LS) regression problems using a 2D Gaussian Markov random field (GMRF) prior. More precisely, the computation of the proximity operator of the LS criterion regularized by…

计算机视觉与模式识别 · 计算机科学 2017-10-10 Qi Wei , Emilie Chouzenoux , Jean-Yves Tourneret , Jean-Christophe Pesquet