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In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

Signal Processing · Electrical Eng. & Systems 2018-08-21 A. Flores , R. C. de Lamare

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

In this research, a novel adaptive filtering algorithm is proposed for complex domain signal processing. The proposed algorithm is based on Wirtinger calculus and is called as q-Complex Least Mean Square (q-CLMS) algorithm. The proposed…

Information Theory · Computer Science 2021-10-12 Alishba Sadiq , Imran Naseem , Shujaat Khan , Muhammad Moinuddin , Roberto Togneri , Mohammed Bennamoun

In this technical report we analyse the performance of diffusion strategies applied to the Least-Mean-Square adaptive filter. We configure a network of cooperative agents running adaptive filters and discuss their behaviour when compared…

Machine Learning · Computer Science 2014-02-21 Jonathan Gelati , Sithan Kanna

Diffusion-based LLMs (dLLMs) fundamentally depart from traditional autoregressive (AR) LLM inference: they leverage bidirectional attention, block-wise KV cache refreshing, cross-step reuse, and a non-GEMM-centric sampling phase. These…

Hardware Architecture · Computer Science 2026-04-24 Binglei Lou , Haoran Wu , Kevin Lau , Gregor MacDonald , Jiayi Nie , Yao Lai , Can Xiao , Xuan Guo , Jianyi Cheng , Rika Antonova , Robert Mullins , Aaron Zhao

The present study proposes incorporating non-parametric knowledge into the diffusion least-mean-squares algorithm in the framework of a maximum a posteriori (MAP) estimation. The proposed algorithm leads to a robust estimation of an unknown…

Machine Learning · Computer Science 2023-12-05 Soheil Ashkezari-Toussi , Hadi sadoghi-Yazdi

This paper presents distributed conjugate gradient algorithms for distributed parameter estimation and spectrum estimation over wireless sensor networks. In particular, distributed conventional conjugate gradient (CCG) and modified…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 R. C. de Lamare

We propose a novel adaptive kernel based regression method for complex-valued signals: the generalized complex-valued kernel least-mean-square (gCKLMS). We borrow from the new results on widely linear reproducing kernel Hilbert space…

Machine Learning · Statistics 2019-10-02 Rafael Boloix-Tortosa , Juan José Murillo-Fuentes , Sotirios A. Tsaftaris

This paper proposes distributed adaptive algorithms based on the conjugate gradient (CG) method and the diffusion strategy for parameter estimation over sensor networks. We present sparsity-aware conventional and modified distributed CG…

Information Theory · Computer Science 2015-11-23 Rodrigo C. de Lamare

We study the performance of centralized least mean-squares (CLMS) algorithms in wireless sensor networks where nodes transmit their data over fading channels to a central processing unit (e.g., fusion center or cluster head), for parameter…

Systems and Control · Computer Science 2016-11-18 Reza Abdolee , Benoit Champagne

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

Multiagent Systems · Computer Science 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

We study the relationship between online Gaussian process (GP) regression and kernel least mean squares (KLMS) algorithms. While the latter have no capacity of storing the entire posterior distribution during online learning, we discover…

Machine Learning · Statistics 2016-09-13 Steven Van Vaerenbergh , Jesus Fernandez-Bes , Víctor Elvira

The least mean-square (LMS) filter is one of the most common adaptive linear estimation algorithms. In many practical scenarios, and particularly in digital communications systems, the signal of interest (SOI) and the input signal are…

Systems and Control · Computer Science 2018-11-28 Nir Shlezinger , Koby Todros

Distributed estimation over networks draws much attraction in recent years. In many situations, due to imperfect information communication among nodes, the performance of traditional diffusion adaptive algorithms such as the diffusion LMS…

Information Theory · Computer Science 2018-02-15 Yicong He , Fei Wang , Shiyuan Wang , Pengju Ren , Badong Chen

We present a new framework for online Least Squares algorithms for nonlinear modeling in RKH spaces (RKHS). Instead of implicitly mapping the data to a RKHS (e.g., kernel trick), we map the data to a finite dimensional Euclidean space,…

Machine Learning · Computer Science 2016-06-14 Pantelis Bouboulis , Spyridon Pougkakiotis , Sergios Theodoridis

The purpose of this note is to discuss some aspects of recently proposed fractional-order variants of complex least mean square (CLMS) and normalized least mean square (NLMS) algorithms in ``Design of Fractional-order Variants of Complex…

Optimization and Control · Mathematics 2020-07-28 Shujaat Khan , Abdul Wahab , Imran Naseem , Muhammad Moinuddin

This paper presents distributed adaptive algorithms based on the conjugate gradient (CG) method for distributed networks. Both incremental and diffusion adaptive solutions are all considered. The distributed conventional (CG) and modified…

Information Theory · Computer Science 2013-06-19 Songcen Xu , Rodrigo C. de Lamare

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

Channel state information (CSI) is very crucial for any wireless communication systems. Typically, CSI can be characterized at the receiver side using channel impulse response (CIR). Many observations have shown that the CIR of broadband…

Signal Processing · Electrical Eng. & Systems 2018-12-12 Ahmed M. Abd El-Moaty , Azzedine Zerguine

In this paper, we consider a least-squares (LS)-based distributed algorithm build on a sensor network to estimate an unknown parameter vector of a dynamical system, where each sensor in the network has partial information only but is…

Systems and Control · Electrical Eng. & Systems 2022-12-19 Siyu Xie , Yaqi Zhang , Lei Guo