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This paper considers distributed estimation of linear systems when the state observations are corrupted with Gaussian noise of unbounded support and under possible random adversarial attacks. We consider sensors equipped with single…

系统与控制 · 电气工程与系统科学 2021-05-25 Mohammadreza Doostmohammadian , Themistoklis Charalambous , Miadreza Shafie-khah , Nader Meskin , Usman A. Khan

Consider the minimum mean-square error (MMSE) of estimating an arbitrary random variable from its observation contaminated by Gaussian noise. The MMSE can be regarded as a function of the signal-to-noise ratio (SNR) as well as a functional…

信息论 · 计算机科学 2010-04-21 Dongning Guo , Yihong Wu , Shlomo Shamai , Sergio Verdu

This work theoretically studies the problem of estimating a structured high-dimensional signal $x_0 \in \mathbb{R}^n$ from noisy $1$-bit Gaussian measurements. Our recovery approach is based on a simple convex program which uses the hinge…

统计理论 · 数学 2020-06-02 Martin Genzel , Alexander Stollenwerk

This paper concerns the problem of 1-bit compressed sensing, where the goal is to estimate a sparse signal from a few of its binary measurements. We study a non-convex sparsity-constrained program and present a novel and concise analysis…

机器学习 · 计算机科学 2020-07-10 Jie Shen

In this paper, we endeavor for predicting the performance of quantized compressive sensing under the use of sparse reconstruction estimators. We assume that a high rate vector quantizer is used to encode the noisy compressive sensing…

信息论 · 计算机科学 2014-05-01 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

Peer-to-peer distributed storage systems provide reliable access to data through redundancy spread over nodes across the Internet. A key goal is to minimize the amount of bandwidth used to maintain that redundancy. Storing a file using an…

We consider the task of multiple parameter estimation in the presence of strong correlated noise with a network of distributed sensors. We study how to find and improve noise-insensitive strategies. We show that sequentially probing GHZ…

量子物理 · 物理学 2024-07-02 Arne Hamann , Pavel Sekatski , Wolfgang Dür

A quantile is defined as a value below which random draws from a given distribution falls with a given probability. In a centralized setting where the cumulative distribution function (CDF) is unknown, the empirical CDF (ECDF) can be used…

系统与控制 · 计算机科学 2018-05-02 Jongmin Lee , Cihan Tepedelenlioglu , Andreas Spanias

The rapid development of signal processing on graphs provides a new perspective for processing large-scale data associated with irregular domains. In many practical applications, it is necessary to handle massive data sets through complex…

信息论 · 计算机科学 2023-07-19 Xiaohan Wang , Mengdi Wang , Yuantao Gu

The 1-bit compressed sensing framework enables the recovery of a sparse vector x from the sign information of each entry of its linear transformation. Discarding the amplitude information can significantly reduce the amount of data, which…

数据分析、统计与概率 · 物理学 2019-04-01 Yingying Xu , Yoshiyuki Kabashima , Lenka Zdeborova

Unlike compressive sensing where the measurement outputs are assumed to be real-valued and have infinite precision, in "one-bit compressive sensing", measurements are quantized to one bit, their signs. In this work, we show how to recover…

信息论 · 计算机科学 2017-05-03 Jayadev Acharya , Arnab Bhattacharyya , Pritish Kamath

Quantized neural networks can be viewed as a chain of noisy channels, where rounding in each layer reduces capacity as bit-width shrinks; the floating-point (FP) checkpoint sets the maximum input rate. We track capacity dynamics as the…

机器学习 · 计算机科学 2025-11-12 Sergey Salishev , Ian Akhremchik

Accurate wireless localization underpins applications from autonomous systems to smart infrastructure. We study the mean-squared error (MSE) and conditional MSE (CMSE) of a practical fusion-based estimator in d-dimensional, stationary…

信号处理 · 电气工程与系统科学 2026-05-26 Mengqi Ma , Aihua Xia

In this paper, we investigate a Bayesian sparse reconstruction algorithm called compressive sensing via Bayesian support detection (CS-BSD). This algorithm is quite robust against measurement noise and achieves the performance of a minimum…

信息论 · 计算机科学 2012-05-15 Jaewook Kang , Heung-No Lee , Kiseon Kim

Due to non-homogeneous spread of sunlight, sensing nodes possess non-uniform energy budget in recharge- able Wireless Sensor Networks (WSNs). An energy-aware workload distribution strategy is therefore nec- essary to achieve good data…

网络与互联网体系结构 · 计算机科学 2014-04-16 Rajib Rana , Wen Hu , Chun Tung Chou

Current self-supervised denoising methods for paired noisy images typically involve mapping one noisy image through the network to the other noisy image. However, after measuring the spectral bias of such methods using our proposed Image…

计算机视觉与模式识别 · 计算机科学 2025-10-02 Wang Zhang , Huaqiu Li , Xiaowan Hu , Tao Jiang , Zikang Chen , Haoqian Wang

We examine codes, over the additive Gaussian noise channel, designed for reliable communication at some specific signal-to-noise ratio (SNR) and constrained by the permitted minimum mean-square error (MMSE) at lower SNRs. The maximum…

信息论 · 计算机科学 2012-08-10 Ronit Bustin , Shlomo Shamai

In increasingly many settings, data sets consist of multiple samples from a population of networks, with vertices aligned across these networks. For example, brain connectivity networks in neuroscience consist of measures of interaction…

统计理论 · 数学 2021-05-11 Keith Levin , Asad Lodhia , Elizaveta Levina

The paper investigates the distributed estimation problem under low bit rate communications. Based on the signal-comparison (SC) consensus protocol under binary-valued communications, a new consensus+innovations type distributed estimation…

系统与控制 · 电气工程与系统科学 2025-03-25 Jieming Ke , Xiaodong Lu , Yanlong Zhao , Ji-Feng Zhang

We propose, analyze and demonstrate an architecture for scalable cooperative reception. In a cluster of N + 1 receive nodes, one node is designated as the final receiver, and the N other nodes act as amplify-and-forward relays which adapt…

信息论 · 计算机科学 2016-11-17 Francois Quitin , Andrew T. Irish , Upamanyu Madhow