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We study the problem of distributed and rate-adaptive feature compression for linear regression. A set of distributed sensors collect disjoint features of regressor data. A fusion center is assumed to contain a pretrained linear regression…

Information Theory · Computer Science 2024-04-04 Aditya Deshmukh , Venugopal V. Veeravalli , Gunjan Verma

This paper proposes a novel distributed reduced--rank scheme and an adaptive algorithm for distributed estimation in wireless sensor networks. The proposed distributed scheme is based on a transformation that performs dimensionality…

Information Theory · Computer Science 2014-11-06 S. Xu , R. C. de Lamare , H. V. Poor

To select suitable filters for a task or to improve existing filters, a deep understanding of their inner workings is vital. Diffusion echoes, which are space-adaptive impulse responses, are useful to visualise the effect of nonlinear…

Image and Video Processing · Electrical Eng. & Systems 2026-04-06 Daniel Gaa , Joachim Weickert , Iva Farag , Özgün Çiçek

The accurate and robust simulation of transcritical real-fluid flows is crucial for many engineering applications. Diffused interface methods are frequently employed and several numerical schemes have been developed for simulating…

Fluid Dynamics · Physics 2017-12-08 Peter C. Ma , Hao Wu , Daniel T. Banuti , Matthias Ihme

Conventional distributed approaches to coverage control may suffer from lack of convergence and poor performance, due to the fact that agents have limited information, especially in non-convex discrete environments. To address this issue,…

Computer Science and Game Theory · Computer Science 2024-04-09 Tatsuya Iwase , Aurélie Beynier , Nicolas Bredeche , Nicolas Maudet , Jason R. Marden

The article considers parameter estimation constructing such as quasi-maximum likelyhood estimation and one step estimation in statistical models generated by solution of stochastic differential equation. It has been developed a software…

Statistics Theory · Mathematics 2021-03-12 Dmytro Ivanenko , Rostyslav Pogorielov

We introduce a novel particle-based algorithm for end-to-end training of latent diffusion models. We reformulate the training task as minimizing a free energy functional and obtain a gradient flow that does so. By approximating the latter…

Machine Learning · Statistics 2026-03-31 Tim Y. J. Wang , Juan Kuntz , O. Deniz Akyildiz

We consider adaptive system identification problems with convex constraints and propose a family of regularized Least-Mean-Square (LMS) algorithms. We show that with a properly selected regularization parameter the regularized LMS provably…

Methodology · Statistics 2010-12-24 Yilun Chen , Yuantao Gu , Alfred O. Hero

Part I of this work examined the mean-square stability and convergence of the learning process of distributed strategies over graphs. The results identified conditions on the network topology, utilities, and data in order to ensure…

Multiagent Systems · Computer Science 2015-04-21 Jianshu Chen , Ali H. Sayed

First we provide a simple set of sufficient conditions for the weak convergence of scaled affine processes with state space $R_+ \times R^d$. We specialize our result to one-dimensional continuous state branching processes with immigration.…

Statistics Theory · Mathematics 2013-03-19 Matyas Barczy , Leif Doering , Zenghu Li , Gyula Pap

The focus of this work is on the analysis of transmit beamforming schemes with a low-rate feedback link in wireless sensor/relay networks, where nodes in the network need to implement beamforming in a distributed manner. Specifically, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-14 C. Lin , V. V. Veeravalli , S. Meyn

In this chapter, we analyze nonlinear filtering problems in distributed environments, e.g., sensor networks or peer-to-peer protocols. In these scenarios, the agents in the environment receive measurements in a streaming fashion, and they…

Machine Learning · Statistics 2017-05-01 Simone Scardapane , Jie Chen , Cédric Richard

This paper considers the distributed sparse identification problem over wireless sensor networks such that all sensors cooperatively estimate the unknown sparse parameter vector of stochastic dynamic systems by using the local information…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Die Gan , Zhixin Liu

This work studies the problem of learning under both large datasets and large-dimensional feature space scenarios. The feature information is assumed to be spread across agents in a network, where each agent observes some of the features.…

Multiagent Systems · Computer Science 2020-05-26 Bicheng Ying , Kun Yuan , Ali H. Sayed

The aim of this article is to provide a scheme for simulating diffusion processes evolving in one-dimensional discontinuous media. This scheme does not rely on smoothing the coefficients that appear in the infinitesimal generator of the…

Probability · Mathematics 2007-05-23 Antoine Lejay , Miguel Martinez

This paper explores the application diffusion maps as graph shift operators in understanding the underlying geometry of graph signals. The study evaluates the improvements in graph learning when using diffusion map generated filters to the…

Machine Learning · Computer Science 2023-12-25 Todd Hildebrant

When signals are measured through physical sensors, they are perturbed by noise. To reduce noise, low-pass filters are commonly employed in order to attenuate high frequency components in the incoming signal, regardless if they come from…

Signal Processing · Electrical Eng. & Systems 2021-11-08 Alejandro J. Ordóñez-Conejo , Armin Lederer , Sandra Hirche

We consider the diffusion of two alternatives in social networks using a game-theoretic approach. Each individual plays a coordination game with its neighbors repeatedly and decides which to adopt. As products are used in conjunction with…

Social and Information Networks · Computer Science 2023-10-04 Vincent Leon , S. Rasoul Etesami , Rakesh Nagi

In this work, we propose adaptive link selection strategies for distributed estimation in diffusion-type wireless networks. We develop an exhaustive search-based link selection algorithm and a sparsity-inspired link selection algorithm that…

Information Theory · Computer Science 2014-01-17 Songcen Xu , Rodrigo C. de Lamare , H. Vincent Poor

We study a lattice model for the spreading of fluid films, which are a few molecular layers thick, in narrow channels with inert lateral walls. We focus on systems connected to two particle reservoirs at different chemical potentials,…

Statistical Mechanics · Physics 2009-11-13 C. Dotti , A. Gambassi , M. N. Popescu , S. Dietrich