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The problem of calculating the local and global decision thresholds in hard decisions based cooperative spectrum sensing is well known for its mathematical intractability. Previous work relied on simple suboptimal counting rules for…

网络与互联网体系结构 · 计算机科学 2014-02-26 Ahmed M. Alaa , Omar A. Nasr

Results on the spectral behavior of random matrices as the dimension increases are applied to the problem of detecting the number of sources impinging on an array of sensors. A common strategy to solve this problem is to estimate the…

统计理论 · 数学 2022-12-09 J. W. Silverstein , P. L. Combettes

We propose a new image denoising algorithm when the data is contaminated by a Poisson noise. As in the Non-Local Means filter, the proposed algorithm is based on a weighted linear combination of the bserved image. But in contract to the…

应用统计 · 统计学 2012-01-31 Qiyu Jin , Ion Grama , Quansheng Liu

The composite binary hypothesis testing problem within the Neyman-Pearson framework is considered. The goal is to maximize the expectation of a nonlinear function of the detection probability, integrated with respect to a given probability…

统计理论 · 数学 2025-05-26 Yanglei Song , Berkan Dulek , Sinan Gezici

Analysis of sliding window detection detection processes requires careful consideration of the cell under test, which is an amplitude squared measurement of the signal plus clutter in the complex domain. Some authors have suggested that…

应用统计 · 统计学 2019-06-12 Graham V. Weinberg

In this paper, we study a simple correlation-based strategy for estimating the unknown delay and amplitude of a signal based on a small number of noisy, randomly chosen frequency-domain samples. We model the output of this "compressive…

信息论 · 计算机科学 2016-11-17 Armin Eftekhari , Justin Romberg , Michael B. Wakin

Point sources (PS) are one of the main contaminants to the recovery of the cosmic microwave background (CMB) signal at small scales, and their detection is important for the next generation of CMB experiments. We develop a method (PoSeIDoN)…

Given a source of iid samples of edges of an input graph $G$ with $n$ vertices and $m$ edges, how many samples does one need to compute a constant factor approximation to the maximum matching size in $G$? Moreover, is it possible to obtain…

数据结构与算法 · 计算机科学 2019-07-15 Michael Kapralov , Slobodan Mitrović , Ashkan Norouzi-Fard , Jakab Tardos

This paper considers a bearings-only tracking problem using noisy measurements of unknown noise statistics from a passive sensor. It is assumed that the process and measurement noise follows the Gaussian distribution where the measurement…

信号处理 · 电气工程与系统科学 2023-05-16 Shreya Das , Kundan Kumar , Shovan Bhaumik

We present preliminary results from our on-going study: Comparing and optimizing source detection procedures for XMM images. By constructing realistic spatial and spectral source distributions and ``observing'' these through the XMM Science…

天体物理学 · 物理学 2007-05-23 Jesper Rasmussen , Kristian Pedersen , Martin Gotz

Most Kalman filter extensions assume Gaussian noise and when the noise is non-Gaussian, usually other types of filters are used. These filters, such as particle filter variants, are computationally more demanding than Kalman type filters.…

应用统计 · 统计学 2021-05-19 Matti Raitoharju , Henri Nurminen , Demet Cilden-Guler , Simo Särkkä

In this paper we consider the problem of localizing a set of broadband sources from a finite window of measurements. In the case of narrowband sources this can be reduced to the problem of spectral line estimation, where our goal is simply…

信号处理 · 电气工程与系统科学 2022-10-24 Coleman DeLude , Rakshith Sharma , Santhosh Karnik , Christopher Hood , Mark Davenport , Justin Romberg

This paper focuses on detection tasks in information extraction, where positive instances are sparsely distributed and models are usually evaluated using F-measure on positive classes. These characteristics often result in deficient…

计算与语言 · 计算机科学 2018-05-29 Hongyu Lin , Yaojie Lu , Xianpei Han , Le Sun

We propose an adaptive refinement algorithm to solve total variation regularized measure optimization problems. The method iteratively constructs dyadic partitions of the unit cube based on i) the resolution of discretized dual problems and…

最优化与控制 · 数学 2023-01-19 Axel Flinth , Frédéric de Gournay , Pierre Weiss

Noisy label learning aims to train deep neural networks using a large amount of samples with noisy labels, whose main challenge comes from how to deal with the inaccurate supervision caused by wrong labels. Existing works either take the…

机器学习 · 计算机科学 2024-04-03 Sihan Bai

We develop a framework for localized source detection in dynamical systems governed by nonlinear partial differential equations based on first and second-order sensitivity analysis. Building on the standard adjoint formulation, which…

流体动力学 · 物理学 2026-05-18 Qi Wang , Zejian You

Label noise in data has long been an important problem in supervised learning applications as it affects the effectiveness of many widely used classification methods. Recently, important real-world applications, such as medical diagnosis…

机器学习 · 统计学 2021-12-02 Shunan Yao , Bradley Rava , Xin Tong , Gareth James

We consider the problem of distributed estimation of a Gaussian vector with linear observation model. Each sensor makes a scalar noisy observation of the unknown vector, quantizes its observation, maps it to a digitally modulated symbol,…

信息论 · 计算机科学 2020-05-01 Mojtaba Shirazi , Azadeh Vosoughi

Subspace learning and matrix factorization problems have great many applications in science and engineering, and efficient algorithms are critical as dataset sizes continue to grow. Many relevant problem formulations are non-convex, and in…

数值分析 · 计算机科学 2022-02-22 Dejiao Zhang , Laura Balzano

In this paper, we consider adaptive estimation of an unknown planar compact, convex set from noisy measurements of its support function on a uniform grid. Both the problem of estimating the support function at a point and that of estimating…

统计理论 · 数学 2015-08-18 Tony Cai , Adityanand Guntuboyina , Yuting Wei