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The diffusion strategy for distributed learning from streaming data employs local stochastic gradient updates along with exchange of iterates over neighborhoods. In Part I [2] of this work we established that agents cluster around a network…

Multiagent Systems · Computer Science 2019-07-04 Stefan Vlaski , Ali H. Sayed

In this paper, we apply a recently developed nonparametric modeling approach, the "diffusion forecast", to predict the time-evolution of Fourier modes of turbulent dynamical systems. While the diffusion forecasting method assumes the…

Chaotic Dynamics · Physics 2016-03-23 Tyrus Berry , John Harlim

Non-linear manifold learning enables high-dimensional data analysis, but requires out-of-sample-extension methods to process new data points. In this paper, we propose a manifold learning algorithm based on deep learning to create an…

Machine Learning · Statistics 2015-06-26 Gal Mishne , Uri Shaham , Alexander Cloninger , Israel Cohen

Distributed estimation and processing in networks modeled by graphs have received a great deal of interest recently, due to the benefits of decentralised processing in terms of performance and robustness to communications link failure…

Multiagent Systems · Computer Science 2016-11-29 C. T. Healy , R. C. de Lamare

We consider the problem of learning classifiers for labeled data that has been distributed across several nodes. Our goal is to find a single classifier, with small approximation error, across all datasets while minimizing the communication…

Machine Learning · Statistics 2012-03-06 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian

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 remarkable performance of deep neural networks depends on the availability of massive labeled data. To alleviate the load of data annotation, active deep learning aims to select a minimal set of training points to be labelled which…

Machine Learning · Computer Science 2020-03-24 Dan Kushnir , Luca Venturi

This work proposes diffusion normalized least mean M-estimate algorithm based on the modified Huber function, which can equip distributed networks with robust learning capability in the presence of impulsive interference. In order to…

Machine Learning · Computer Science 2020-04-21 Y. Yu , H. He , T. Yang , X. Wang , R. C. de Lamare

We apply diffusion strategies to develop a fully-distributed cooperative reinforcement learning algorithm in which agents in a network communicate only with their immediate neighbors to improve predictions about their environment. The…

Multiagent Systems · Computer Science 2014-11-06 Sergio Valcarcel Macua , Jianshu Chen , Santiago Zazo , Ali H. Sayed

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

This paper proposes a nonparametric multivariate density forecast model based on deep learning. It not only offers the whole marginal distribution of each random variable in forecasting targets, but also reveals the future correlation…

Systems and Control · Electrical Eng. & Systems 2022-10-28 Zichao Meng , Ye Guo , Wenjun Tang , Hongbin Sun

This work studies the problem of non-Bayesian learning over multi-agent network when there are some adversarial (faulty) agents in the network. At each time step, each non-faulty agent collects partial information about an unknown state of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-08 Pooja Vyavahare , Lili Su , Nitin H. Vaidya

Motivated by the problem of tracking a direction in a decentralized way, we consider the general problem of cooperative learning in multi-agent systems with time-varying connectivity and intermittent measurements. We propose a distributed…

Optimization and Control · Mathematics 2014-12-17 Naomi Ehrich Leonard , Alex Olshevsky

Most of today's distributed machine learning systems assume {\em reliable networks}: whenever two machines exchange information (e.g., gradients or models), the network should guarantee the delivery of the message. At the same time, recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-17 Chen Yu , Hanlin Tang , Cedric Renggli , Simon Kassing , Ankit Singla , Dan Alistarh , Ce Zhang , Ji Liu

A distributed adaptive algorithm is proposed to solve a node-specific parameter estimation problem where nodes are interested in estimating parameters of local interest and parameters of global interest to the whole network. To address the…

Systems and Control · Computer Science 2014-07-02 Nikola Bogdanović , Jorge Plata-Chaves , Kostas Berberidis

Hypergraphs are a common model for multiway relationships in data, and hypergraph semi-supervised learning is the problem of assigning labels to all nodes in a hypergraph, given labels on just a few nodes. Diffusions and label spreading are…

Machine Learning · Computer Science 2022-02-14 Francesco Tudisco , Konstantin Prokopchik , Austin R. Benson

The rapidly increasing complexity of (mainly wireless) ad-hoc networks stresses the need of reliable distributed estimation of several variables of interest. The widely used centralized approach, in which the network nodes communicate their…

Information Theory · Computer Science 2015-03-20 K. Dedecius , V. Sečkárová

This work presents a new algorithm for training recurrent neural networks (although ideas are applicable to feedforward networks as well). The algorithm is derived from a theory in nonconvex optimization related to the diffusion equation.…

Machine Learning · Computer Science 2016-02-08 Hossein Mobahi

We consider the problem of training a machine learning model over a network of nodes in a fully decentralized framework. The nodes take a Bayesian-like approach via the introduction of a belief over the model parameter space. We propose a…

Machine Learning · Computer Science 2019-02-01 Anusha Lalitha , Osman Cihan Kilinc , Tara Javidi , Farinaz Koushanfar

We introduce a nonlinear operator to model diffusion on a complex undirected network under crowded conditions. We show that the asymptotic distribution of diffusing agents is a nonlinear function of the nodes' degree and saturates to a…

Statistical Mechanics · Physics 2018-04-18 Malbor Asllani , Timoteo Carletti , Francesca Di Patti , Duccio Fanelli , Francesco Piazza