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This paper investigates the problem of distributed best linear unbiased estimation (BLUE) of a random parameter at the fusion center (FC) of a wireless sensor network (WSN). In particular, the application of limited-feedback strategies for…

Information Theory · Computer Science 2013-12-02 Mohammad Fanaei , Matthew C. Valenti , Natalia A. Schmid

We consider the problem of sparse normal means estimation in a distributed setting with communication constraints. We assume there are $M$ machines, each holding $d$-dimensional observations of a $K$-sparse vector $\mu$ corrupted by…

Machine Learning · Statistics 2022-02-15 Chen Amiraz , Robert Krauthgamer , Boaz Nadler

Generalization to novel visual conditions remains a central challenge for both human and machine vision, yet standard robustness metrics offer limited insight into how systems trade accuracy for robustness. We introduce a…

Machine Learning · Computer Science 2026-03-03 Leyla Roksan Caglar , Pedro A. M. Mediano , Baihan Lin

We analyse the learning performance of Distributed Gradient Descent in the context of multi-agent decentralised non-parametric regression with the square loss function when i.i.d. samples are assigned to agents. We show that if agents hold…

Machine Learning · Statistics 2019-11-14 Dominic Richards , Patrick Rebeschini

We investigate lossy compression (source coding) of data in the form of permutations. This problem has direct applications in the storage of ordinal data or rankings, and in the analysis of sorting algorithms. We analyze the rate-distortion…

Information Theory · Computer Science 2016-11-18 Da Wang , Arya Mazumdar , Gregory Wornell

An energy efficient use of large scale sensor networks necessitates activating a subset of possible sensors for estimation at a fusion center. The problem is inherently combinatorial; to this end, a set of iterative, randomized algorithms…

Information Theory · Computer Science 2017-09-13 Arpan Chattopadhyay , Urbashi Mitra

The ubiquitous time-delay estimation (TDE) problem becomes nontrivial when sensors are non-co-located and communication between them is limited. Building on the recently proposed "extremum encoding" compression-estimation scheme, we address…

Signal Processing · Electrical Eng. & Systems 2024-12-25 Amir Weiss , Yuval Kochman , Gregory W. Wornell

Diffusion-weighted magnetic resonance imaging (DW-MRI) is a critical imaging method for capturing and modeling tissue microarchitecture at a millimeter scale. A common practice to model the measured DW-MRI signal is via fiber orientation…

Rate-distortion (RD) theory is at the heart of lossy data compression. Here we aim to model the generalized RD (GRD) trade-off between the visual quality of a compressed video and its encoding profiles (e.g., bitrate and spatial…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 Zhengfang Duanmu , Wentao Liu , Zhuoran Li , Kede Ma , Zhou Wang

Many common types of data can be represented as functions that map coordinates to signal values, such as pixel locations to RGB values in the case of an image. Based on this view, data can be compressed by overfitting a compact neural…

Machine Learning · Computer Science 2023-10-31 Zongyu Guo , Gergely Flamich , Jiajun He , Zhibo Chen , José Miguel Hernández-Lobato

We study the problem of estimating a function of many parameters acquired by sensors that are distributed in space, e.g., the spatial gradient of a field. We restrict ourselves to a setting where the distributed sensors are probed with…

Quantum Physics · Physics 2018-10-03 T. J. Volkoff , Mohan Sarovar

Realism constraints (or constraints on perceptual quality) have received considerable recent attention within the context of lossy compression, particularly of images. Theoretical studies of lossy compression indicate that high-rate common…

Information Theory · Computer Science 2025-11-20 Yassine Hamdi , Aaron B. Wagner , Deniz Gündüz

In this paper we analyze the joint rate distortion function (RDF), for a tuple of correlated sources taking values in abstract alphabet spaces (i.e., continuous) subject to two individual distortion criteria. First, we derive structural…

Information Theory · Computer Science 2021-05-11 Evagoras Stylianou , Charalambos D. Charalambous , Themistoklis Charalambous

Wideband spectrum sensing detects the unused spectrum holes for dynamic spectrum access (DSA). Too high sampling rate is the main problem. Compressive sensing (CS) can reconstruct sparse signal with much fewer randomized samples than…

Information Theory · Computer Science 2012-04-16 Yipeng Liu , Qun Wan

This paper investigates the joint compression problem of a vector Gaussian source, where an individual distortion constraint is imposed on each source component. It is known that the rate-distortion function (RDF) is lower-bounded by the…

Information Theory · Computer Science 2026-02-09 Shuao Chen , Junyuan Gao , Yuxuan Shi , Yongpeng Wu , Giuseppe Caire , H. Vincent Poor , Wenjun Zhang

Consider a distributed detection problem in which the underlying distributions of the observations are unknown; instead of these distributions, noisy versions of empirically observed statistics are available to the fusion center. These…

Information Theory · Computer Science 2020-02-13 Haiyun He , Lin Zhou , Vincent Y. F. Tan

Federated Learning (FL) incurs high communication overhead, which can be greatly alleviated by compression for model updates. Yet the tradeoff between compression and model accuracy in the networked environment remains unclear and, for…

Machine Learning · Computer Science 2021-12-14 Laizhong Cui , Xiaoxin Su , Yipeng Zhou , Jiangchuan Liu

As shown by M\'edard, the capacity of fading channels with imperfect channel-state information (CSI) can be lower-bounded by assuming a Gaussian channel input $X$ with power $P$ and by upper-bounding the conditional entropy $h(X|Y,\hat{H})$…

Information Theory · Computer Science 2016-11-15 Adriano Pastore , Tobias Koch , Javier Rodríguez Fonollosa

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

In the context of goal-oriented communications, this paper addresses the achievable rate versus generalization error region of a learning task applied on compressed data. The study focuses on the distributed setup where a source is…

Information Theory · Computer Science 2024-07-10 Jiahui Wei , Philippe Mary , Elsa Dupraz