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In the context of Gaussian conditioning, greedy algorithms iteratively select the most informative measurements, given an observed Gaussian random variable. However, the convergence analysis for conditioning Gaussian random variables…

统计理论 · 数学 2025-02-18 Daniel Winkle , Ingo Steinwart , Bernard Haasdonk

In this article, we present two new greedy algorithms for the computation of the lowest eigenvalue (and an associated eigenvector) of a high-dimensional eigenvalue problem, and prove some convergence results for these algorithms and their…

数值分析 · 数学 2013-04-10 Eric Cancès , Virginie Ehrlacher , Tony Lelièvre

In this article, we present a greedy algorithm based on a tensor product decomposition, whose aim is to compute the global minimum of a strongly convex energy functional. We prove the convergence of our method provided that the gradient of…

泛函分析 · 数学 2015-03-13 Eric Cances , Virginie Ehrlacher , Tony Lelievre

In this article, we discuss a novel greedy algorithm for the recovery of compressive sampled signals under noisy conditions. Most of the greedy recovery algorithms proposed in the literature require sparsity of the signal to be known or…

信息论 · 计算机科学 2014-12-18 V. Meena , G. Abhilash

The problem of column subset selection has recently attracted a large body of research, with feature selection serving as one obvious and important application. Among the techniques that have been applied to solve this problem, the greedy…

数据结构与算法 · 计算机科学 2021-11-16 Jason Altschuler , Aditya Bhaskara , Gang Fu , Vahab Mirrokni , Afshin Rostamizadeh , Morteza Zadimoghaddam

We propose a Monte-Carlo-based method for reconstructing sparse signals in the formulation of sparse linear regression in a high-dimensional setting. The basic idea of this algorithm is to explicitly select variables or covariates to…

机器学习 · 统计学 2021-02-01 Kao Hayashi , Tomoyuki Obuchi , Yoshiyuki Kabashima

We study the problem of sampling and reconstructing spectrally sparse graph signals where the objective is to select a subset of nodes of prespecified cardinality that ensures interpolation of the original signal with the lowest possible…

信号处理 · 电气工程与系统科学 2021-11-24 Abolfazl Hashemi , Rasoul Shafipour , Haris Vikalo , Gonzalo Mateos

In this paper we consider the binary transfer learning problem, focusing on how to select and combine sources from a large pool to yield a good performance on a target task. Constraining our scenario to real world, we do not assume the…

计算机视觉与模式识别 · 计算机科学 2016-09-16 Ilja Kuzborskij , Francesco Orabona , Barbara Caputo

A reliable support detection is essential for a greedy algorithm to reconstruct a sparse signal accurately from compressed and noisy measurements. This paper proposes a novel support detection method for greedy algorithms, which is referred…

信息论 · 计算机科学 2016-08-24 Namyoon Lee

This paper examines the ability of greedy algorithms to estimate a block sparse parameter vector from noisy measurements. In particular, block sparse versions of the orthogonal matching pursuit and thresholding algorithms are analyzed under…

信息论 · 计算机科学 2015-05-19 Zvika Ben-Haim , Yonina C. Eldar

Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

数值分析 · 数学 2025-02-20 V. Temlyakov

This paper considers a set of sensors, which as a group are tasked with taking measurements of the environment and sending a small subset of the measurements to a centralized data fusion center, where the measurements will be used to…

多智能体系统 · 计算机科学 2022-07-11 David Grimsman , Matthew R. Kirchner , João P. Hespanha , Jason R. Marden

We address the problem of efficient and unobstructed surveillance or communication in complex environments. On one hand, one wishes to use a minimal number of sensors to cover the environment. On the other hand, it is often important to…

机器学习 · 计算机科学 2023-09-18 Lukas Taus , Yen-Hsi Richard Tsai

The present study proposes a sensor selection method based on the proximal splitting algorithm and the A-optimal design of experiment using the alternating direction method of multipliers (ADMM) algorithm. The performance of the proposed…

系统与控制 · 电气工程与系统科学 2021-07-13 Takayuki Nagata , Taku Nonomura , Kumi Nakai , Keigo Yamada , Yuji Saito , Shunsuke Ono

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

离散数学 · 计算机科学 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana

The main goal of this paper is twofold. First, we extend some results known in the case of weak greedy algorithms with a scalar parameter to the case of weak greedy algorithms with a weakness sequence. Second, we formulate a new setting of…

数值分析 · 数学 2026-04-30 A. S. Spivak , V. N. Temlyakov

Modern LiDAR-SLAM (L-SLAM) systems have shown excellent results in large-scale, real-world scenarios. However, they commonly have a high latency due to the expensive data association and nonlinear optimization. This paper demonstrates that…

机器人学 · 计算机科学 2021-03-25 Jianhao Jiao , Yilong Zhu , Haoyang Ye , Huaiyang Huang , Peng Yun , Linxin Jiang , Lujia Wang , Ming Liu

We propose a new iterative greedy algorithm for reconstructions of sparse signals with or without noisy perturbations in compressed sensing. The proposed algorithm, called \emph{subspace thresholding pursuit} (STP) in this paper, is a…

信息论 · 计算机科学 2014-05-22 Chao-Bing Song , Shu-Tao Xia , Xin-Ji Liu

Inverse imaging problems rely on limited and indirect measurements, making reconstruction highly dependent on both regularization and sample locations. We introduce a novel greedy framework for the optimal selection of indirect measurements…

数值分析 · 数学 2025-12-04 L. Bruni Bruno , P. Massa , E. Perracchione , M. Trombini

Distributed sensor networks often include a multitude of sensors, each measuring parts of a process state space or observing the operations of a system. Communication of measurements between the sensor nodes and estimator(s) cannot…

系统与控制 · 电气工程与系统科学 2023-05-02 Sanjay Chandrasekaran , Vishnu Varadan , Siva Vignesh Krishnan , Florian Dörfler , Mohammad H. Mamduhi