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We derive lower bounds on the Bayes risk in decentralized estimation, where the estimator does not have direct access to the random samples generated conditionally on the random parameter of interest, but only to the data received from…

Information Theory · Computer Science 2016-07-05 Aolin Xu , Maxim Raginsky

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

Machine Learning · Computer Science 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

Some of the most used sampling mechanisms that implicitly leverage a social network depend on tuning parameters; for instance, Respondent-Driven Sampling (RDS) is specified by the number of seeds and maximum number of referrals. We are…

Methodology · Statistics 2019-12-06 Simón Lunagómez , Marios Papamichalis , Patrick J. Wolfe , Edoardo M. Airoldi

Data sharing barriers are paramount challenges arising from multicenter clinical trials where multiple data sources are stored in a distributed fashion at different local study sites. Merging such data sources into a common data storage for…

Methodology · Statistics 2022-04-05 Mengtong Hu , Xu Shi , Peter X. -K. Song

This work focuses on the generic identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by transfer functions according to a known topology, some nodes are excited, some are…

Optimization and Control · Mathematics 2021-10-04 Antoine Legat , Julien M. Hendrickx

A main puzzle of deep networks revolves around the absence of overfitting despite large overparametrization and despite the large capacity demonstrated by zero training error on randomly labeled data. In this note, we show that the dynamics…

A major impediment towards the industrial adoption of decentralized distributed systems comes from the difficulty to theoretically prove that these systems exhibit the required behavior. In this paper, we use probability theory to analyze a…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-15 Bogdan Alexandru Caprarescu , Eva Kaslik , Dana Petcu

The statistical modeling of random networks has been widely used to uncover interaction mechanisms in complex systems and to predict unobserved links in real-world networks. In many applications, network connections are collected via…

Social and Information Networks · Computer Science 2023-03-21 Angus Chan , Tianxi Li

A sensor network is considered where a sequence of random variables is observed at each sensor. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

Statistics Theory · Mathematics 2014-08-21 Taposh Banerjee , Venugopal. V. Veeravalli

A subjective expected utility policy making centre, managing complex, dynamic systems, needs to draw on the expertise of a variety of disparate panels of experts and integrate this information coherently. To achieve this, diverse supporting…

Methodology · Statistics 2015-12-21 Jim Q. Smith , Martine J. Barons , Manuele Leonelli

Independence testing plays a central role in statistical and causal inference from observational data. Standard independence tests assume that the data samples are independent and identically distributed (i.i.d.) but that assumption is…

Machine Learning · Statistics 2022-07-04 Ragib Ahsan , Zahra Fatemi , David Arbour , Elena Zheleva

This paper investigates a passivity-based approach to output consensus analysis in heterogeneous networks composed of non-identical agents coupled via nonlinear interactions, in the presence of measurement and/or communication noise.…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Yongkang Su , Sei Zhen Khong , Lanlan Su

In many real-world scenarios, interested variables are often represented as discretized values due to measurement limitations. Applying Conditional Independence (CI) tests directly to such discretized data, however, can lead to incorrect…

Artificial Intelligence · Computer Science 2025-06-11 Boyang Sun , Yu Yao , Xinshuai Dong , Zongfang Liu , Tongliang Liu , Yumou Qiu , Kun Zhang

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

A framework is proposed for the design and analysis of \emph{network-oblivious algorithms}, namely, algorithms that can run unchanged, yet efficiently, on a variety of machines characterized by different degrees of parallelism and…

Data Structures and Algorithms · Computer Science 2014-04-15 Gianfranco Bilardi , Andrea Pietracaprina , Geppino Pucci , Michele Scquizzato , Francesco Silvestri

The study of random graphs and networks had an explosive development in the last couple of decades. Meanwhile, techniques for the statistical analysis of sequences of networks were less developed. In this paper we focus on networks…

Disordered Systems and Neural Networks · Physics 2017-04-18 Daniel Fraiman , Nicolas Fraiman , Ricardo Fraiman

We investigate the problem of jointly testing two hypotheses and estimating a random parameter based on data that is observed sequentially by sensors in a distributed network. In particular, we assume the data to be drawn from a Gaussian…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

In this work, we focus on solving a decentralized consensus problem in a private manner. Specifically, we consider a setting in which a group of nodes, connected through a network, aim at computing the mean of their local values without…

Multiagent Systems · Computer Science 2022-02-22 Mohammad Fereydounian , Aryan Mokhtari , Ramtin Pedarsani , Hamed Hassani

Decentralized data sources are prevalent in real-world applications, posing a formidable challenge for causal inference. These sources cannot be consolidated into a single entity owing to privacy constraints. The presence of dissimilar data…

Machine Learning · Computer Science 2024-05-31 Thanh Vinh Vo , Young lee , Tze-Yun Leong

We propose a new method for training a supervised source separation system that aims to learn the interdependent relationships between all combinations of sources in a mixture. Rather than independently estimating each source from a mix, we…

Sound · Computer Science 2022-03-30 Ethan Manilow , Curtis Hawthorne , Cheng-Zhi Anna Huang , Bryan Pardo , Jesse Engel
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