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In the era of big data, it is necessary to split extremely large data sets across multiple computing nodes and construct estimators using the distributed data. When designing distributed estimators, it is desirable to minimize the amount of…

Statistics Theory · Mathematics 2022-04-25 Azeem Zaman , Botond Szabó

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

This work examines the mean-square error performance of diffusion stochastic algorithms under a generalized coordinate-descent scheme. In this setting, the adaptation step by each agent is limited to a random subset of the coordinates of…

Multiagent Systems · Computer Science 2017-10-12 Chengcheng Wang , Yonggang Zhang , Bicheng Ying , Ali H. Sayed

The aim of this paper is to propose diffusion strategies for distributed estimation over adaptive networks, assuming the presence of spatially correlated measurements distributed according to a Gaussian Markov random field (GMRF) model. The…

Systems and Control · Computer Science 2015-06-22 Paolo Di Lorenzo

Diffusion over a network refers to the phenomenon of a change of state of a cross-sectional unit in one period leading to a change of state of its neighbors in the network in the next period. One may estimate or test for diffusion by…

Methodology · Statistics 2022-05-17 Kyungchul Song

Knowledge of the noise distribution in diffusion MRI is the centerpiece to quantify uncertainties arising from the acquisition process. Accurate estimation beyond textbook distributions often requires information about the acquisition…

Image and Video Processing · Electrical Eng. & Systems 2020-07-07 Samuel St-Jean , Alberto De Luca , Chantal M. W. Tax , Max A. Viergever , Alexander Leemans

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant

Learning cooperative policies for multi-agent systems is often challenged by partial observability and a lack of coordination. In some settings, the structure of a problem allows a distributed solution with limited communication. Here, we…

Systems and Control · Computer Science 2017-08-01 Roel Dobbe , David Fridovich-Keil , Claire Tomlin

Network analysis is currently used in a myriad of contexts: from identifying potential drug targets to predicting the spread of epidemics and designing vaccination strategies, and from finding friends to uncovering criminal activity.…

Data Analysis, Statistics and Probability · Physics 2010-04-28 R. Guimera , M. Sales-Pardo

Distributed algorithms, particularly Diffusion Least Mean Square, are widely favored for their reliability, robustness, and fast convergence in various industries. However, limited observability of the target can compromise the integrity of…

Signal Processing · Electrical Eng. & Systems 2023-10-18 Mahdi Shamsi , Farokh Marvasti

We study the problem of diffusion-based network learning of a nonlinear phenomenon, $m$, from local agents' measurements collected in a noisy environment. For a decentralized network and information spreading merely between directly…

Machine Learning · Statistics 2023-05-08 Paweł Wachel , Krzysztof Kowalczyk , Cristian R. Rojas

We consider the problem of distributed dictionary learning, where a set of nodes is required to collectively learn a common dictionary from noisy measurements. This approach may be useful in several contexts including sensor networks.…

Machine Learning · Statistics 2013-04-15 Pierre Chainais , Cédric Richard

This paper considers the problem of kernel regression and classification with possibly unobservable response variables in the data, where the mechanism that causes the absence of information is unknown and can depend on both predictors and…

Statistics Theory · Mathematics 2022-12-07 Majid Mojirsheibani , William Pouliot , Andre Shakhbandaryan

We present the first diffusion-based framework that can learn an unknown distribution using only highly-corrupted samples. This problem arises in scientific applications where access to uncorrupted samples is impossible or expensive to…

Machine Learning · Computer Science 2023-05-31 Giannis Daras , Kulin Shah , Yuval Dagan , Aravind Gollakota , Alexandros G. Dimakis , Adam Klivans

The exploration of high-speed movement by robots or road traffic agents is crucial for autonomous driving and navigation. Trajectory prediction at high speeds requires considering historical features and interactions with surrounding…

Robotics · Computer Science 2024-05-14 Yao Liu , Ruoyu Wang , Yuanjiang Cao , Quan Z. Sheng , Lina Yao

This paper studies the problem of distributed classification with a network of heterogeneous agents. The agents seek to jointly identify the underlying target class that best describes a sequence of observations. The problem is first…

Artificial Intelligence · Computer Science 2020-11-24 James Z. Hare , Cesar A. Uribe , Lance Kaplan , Ali Jadbabaie

Motivated by sensor networks and other distributed settings, several models for distributed learning are presented. The models differ from classical works in statistical pattern recognition by allocating observations of an independent and…

Information Theory · Computer Science 2016-11-18 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

In multicenter research, individual-level data are often protected against sharing across sites. To overcome the barrier of data sharing, many distributed algorithms, which only require sharing aggregated information, have been developed.…

Methodology · Statistics 2021-03-25 Rui Duan , Yang Ning , Yong Chen

A common challenge in the natural sciences is to disentangle distinct, unknown sources from observations. Examples of this source separation task include deblending galaxies in a crowded field, distinguishing the activity of individual…

Machine Learning · Computer Science 2025-10-08 Sebastian Wagner-Carena , Aizhan Akhmetzhanova , Sydney Erickson

We consider the problem of distributed inference where agents in a network observe a stream of private signals generated by an unknown state, and aim to uniquely identify this state from a finite set of hypotheses. We focus on scenarios…

Systems and Control · Electrical Eng. & Systems 2021-09-01 Aritra Mitra , John A. Richards , Saurabh Bagchi , Shreyas Sundaram
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