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This paper takes a different approach for the distributed linear parameter estimation over a multi-agent network. The parameter vector is considered to be stochastic with a Gaussian distribution. The sensor measurements at each agent are…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Subhro Das

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

Computation · Statistics 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

In transfer learning, we wish to make inference about a target population when we have access to data both from the distribution itself, and from a different but related source distribution. We introduce a flexible framework for transfer…

Machine Learning · Statistics 2021-09-03 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

This paper focuses on solving a data-driven distributionally robust optimization problem over a network of agents. The agents aim to minimize the worst-case expected cost computed over a Wasserstein ambiguity set that is centered at the…

Optimization and Control · Mathematics 2022-08-23 Ashish Cherukuri , Alireza Zolanvari , Goran Banjac , Ashish R. Hota

A distributed adaptive algorithm to estimate a time-varying signal, measured by a wireless sensor network, is designed and analyzed. One of the major features of the algorithm is that no central coordination among the nodes needs to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-10-22 Carlo Fischione , Alberto Speranzon , Karl H. Johansson , Alberto Sangiovanni-Vincentelli

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

Optimization and Control · Mathematics 2011-05-02 Alekh Agarwal , John C. Duchi

We present an algorithm for the problem of linear distributed estimation of a parameter in a network where a set of agents are successively taking measurements. The approach considers a roaming token in a network that carries the estimate,…

Systems and Control · Computer Science 2018-07-05 Lucas Balthazar , João Xavier , Bruno Sinopoli

In this paper, we study the problem of estimating uniformly well the mean values of several distributions given a finite budget of samples. If the variance of the distributions were known, one could design an optimal sampling strategy by…

Machine Learning · Computer Science 2015-07-17 Alexandra Carpentier , Alessandro Lazaric , Mohammad Ghavamzadeh , Rémi Munos , Peter Auer , András Antos

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

We study the problem of distributed zero-order optimization for a class of strongly convex functions. They are formed by the average of local objectives, associated to different nodes in a prescribed network of connections. We propose a…

Optimization and Control · Mathematics 2021-06-29 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

We study the problem of distributed adaptive estimation over networks where nodes cooperate to estimate physical parameters that can vary over both space and time domains. We use a set of basis functions to characterize the space-varying…

Systems and Control · Computer Science 2015-07-22 Reza Abdolee , Benoit Champagne , Ali H. Sayed

Learning sparse combinations is a frequent theme in machine learning. In this paper, we study its associated optimization problem in the distributed setting where the elements to be combined are not centrally located but spread over a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-25 Aurélien Bellet , Yingyu Liang , Alireza Bagheri Garakani , Maria-Florina Balcan , Fei Sha

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

In this paper, we deal with a network of agents that want to cooperatively minimize the sum of local cost functions depending on a common decision variable. We consider the challenging scenario in which objective functions are unknown and…

Optimization and Control · Mathematics 2024-11-08 Nicola Mimmo , Guido Carnevale , Andrea Testa , Giuseppe Notarstefano

Developing efficient solutions for inference problems in intelligent sensor networks is crucial for the next generation of location, tracking, and mapping services. This paper develops a scalable distributed probabilistic inference…

Machine Learning · Computer Science 2023-10-24 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

In-network distributed estimation of sparse parameter vectors via diffusion LMS strategies has been studied and investigated in recent years. In all the existing works, some convex regularization approach has been used at each node of the…

Machine Learning · Computer Science 2016-11-15 Bijit Kumar Das , Mrityunjoy Chakraborty , Jerónimo Arenas-García

Federated Learning has been recently proposed for distributed model training at the edge. The principle of this approach is to aggregate models learned on distributed clients to obtain a new more general "average" model (FedAvg). The…

Machine Learning · Statistics 2022-07-20 Adnan Ben Mansour , Gaia Carenini , Alexandre Duplessis , David Naccache

Bayesian optimization has become a popular method for high-throughput computing, like the design of computer experiments or hyperparameter tuning of expensive models, where sample efficiency is mandatory. In these applications, distributed…

Machine Learning · Computer Science 2019-07-08 Javier Garcia-Barcos , Ruben Martinez-Cantin

In numerous settings, agents lack sufficient data to directly learn a model. Collaborating with other agents may help, but it introduces a bias-variance trade-off, when local data distributions differ. A key challenge is for each agent to…

Machine Learning · Computer Science 2025-02-20 Franco Galante , Giovanni Neglia , Emilio Leonardi