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The recursive least-squares (RLS) algorithm has well-documented merits for reducing complexity and storage requirements, when it comes to online estimation of stationary signals as well as for tracking slowly-varying nonstationary…

Networking and Internet Architecture · Computer Science 2013-10-01 Gonzalo Mateos , Georgios B. Giannakis

We introduce a distributed algorithm, termed noise-robust distributed maximum consensus (RD-MC), for estimating the maximum value within a multi-agent network in the presence of noisy communication links. Our approach entails redefining the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-18 Ehsan Lari , Reza Arablouei , Naveen K. D. Venkategowda , Stefan Werner

Naturally complex-valued information or those presented in complex domain are effectively processed by an augmented complex least-mean-square (ACLMS) algorithm. In some applications, the ACLMS algorithm may be too computationally- and…

Systems and Control · Electrical Eng. & Systems 2020-01-27 Vahid Vahidpour , Amir Rastegarnia , Azam Khalili , Wael M. Bazzi , Saeid Sanei

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

Diffusion models have achieved impressive success in generating photorealistic images, but challenges remain in ensuring precise semantic alignment with input prompts. Optimizing the initial noisy latent offers a more efficient alternative…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Boming Miao , Chunxiao Li , Xiaoxiao Wang , Andi Zhang , Rui Sun , Zizhe Wang , Yao Zhu

Diffusion adaptation is a powerful strategy for distributed estimation and learning over networks. Motivated by the concept of combining adaptive filters, this work proposes a combination framework that aggregates the operation of multiple…

Signal Processing · Electrical Eng. & Systems 2020-02-11 Danqi Jin , Jie Chen , Cedric Richard , Jingdong Chen , Ali H. Sayed

In this paper, a new family of proportionate normalized least mean square (PNLMS) adaptive algorithms that improve the performance of identifying block-sparse systems is proposed. The main proposed algorithm, called block-sparse PNLMS…

Information Theory · Computer Science 2015-12-01 Jianming Liu , Steven L. Grant

Robust diffusion adaptive estimation algorithms based on the maximum correntropy criterion (MCC), including adaptation to combination MCC and combination to adaptation MCC, are developed to deal with the distributed estimation over network…

Machine Learning · Statistics 2016-02-04 Wentao Ma , Badong Chen , Jiandong Duan , Haiquan Zhao

Distribution Load Estimation (DLE) is a key function of Distribution Management System (DMS). In this paper a novel method for presenting historical load data in the form of Representative Load Curves (RLC) is presented. Adaptive…

Signal Processing · Electrical Eng. & Systems 2021-09-22 Chiebuka Eyisi , Saeed Lotfifard

A distributed discrete-time algorithm is proposed for multi-agent networks to achieve a common least squares solution of a group of linear equations, in which each agent only knows some of the equations and is only able to receive…

Systems and Control · Computer Science 2017-10-02 Xuan Wang , Jingqiu Zhou , Shaoshuai Mou , Martin J. Corless

We develop a framework for estimating unknown partial differential equations from noisy data, using a deep learning approach. Given noisy samples of a solution to an unknown PDE, our method interpolates the samples using a neural network,…

Machine Learning · Computer Science 2019-10-24 Ali Hasan , João M. Pereira , Robert Ravier , Sina Farsiu , Vahid Tarokh

We study the effect of fading in the communication channels between nodes on the performance of the incremental least mean square (ILMS) algorithm. We derive steady-state performance metrics, including the mean-square deviation (MSD),…

Systems and Control · Computer Science 2015-08-11 Azam Khalili , Amir Rastegarnia

Diffusion models (DM) can gradually learn to remove noise, which have been widely used in artificial intelligence generated content (AIGC) in recent years. The property of DM for eliminating noise leads us to wonder whether DM can be…

Information Theory · Computer Science 2023-09-19 Tong Wu , Zhiyong Chen , Dazhi He , Liang Qian , Yin Xu , Meixia Tao , Wenjun Zhang

Data-driven discovery of partial differential equations (PDEs) from observed data in machine learning has been developed by embedding the discovery problem. Recently, the discovery of traditional ODEs dynamics using linear multistep methods…

Numerical Analysis · Mathematics 2023-06-27 Xingjian Xu , Minghua Chen

This letter proposes a novel distributed compressed estimation scheme for sparse signals and systems based on compressive sensing techniques. The proposed scheme consists of compression and decompression modules inspired by compressive…

Information Theory · Computer Science 2015-02-05 S. Xu , R. C. de Lamare , H. V. Poor

Distributed linear algebraic equation over networks, where nodes hold a part of problem data and cooperatively solve the equation via node-to-node communications, is a basic distributed computation task receiving an increasing research…

Optimization and Control · Mathematics 2021-04-28 Peng Yi , Jinlong Lei , Yiguang Hong , Jie Chen , Guodong Shi

In this work, we propose a novel discrete-time distributed algorithm for finding least-squares solutions of linear algebraic equations with a scheduling protocol to further enhance its scalability. Each agent in the network is assumed to…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Shenyu Liu

We consider a distributed stochastic optimization problem in networks with finite number of nodes. Each node adjusts its action to optimize the global utility of the network, which is defined as the sum of local utilities of all nodes.…

Information Theory · Computer Science 2018-07-31 Wenjie Li , Mohamad Assaad

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

Decentralized state estimation in a communication-constrained sensor network is considered. The exchanged estimates are dimension-reduced to reduce the communication load using a linear mapping to a lower-dimensional space. The mean squared…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Robin Forsling , Fredrik Gustafsson , Zoran Sjanic , Gustaf Hendeby