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We introduce a probabilistic approach to the LMS filter. By means of an efficient approximation, this approach provides an adaptable step-size LMS algorithm together with a measure of uncertainty about the estimation. In addition, the…

Machine Learning · Statistics 2016-04-11 Jesus Fernandez-Bes , Víctor Elvira , Steven Van Vaerenbergh

The goal of this paper is to propose novel strategies for adaptive learning of signals defined over graphs, which are observed over a (randomly time-varying) subset of vertices. We recast two classical adaptive algorithms in the graph…

Machine Learning · Computer Science 2018-08-01 Paolo Di Lorenzo , Paolo Banelli , Elvin Isufi , Sergio Barbarossa , Geert Leus

An adaptive filter is defined as a digital filter that has the capability of self adjusting its transfer function under the control of some optimizing algorithms. Most common optimizing algorithms are Least Mean Square (LMS) and Recursive…

Systems and Control · Computer Science 2017-06-06 Saurabh R. Prasad , Bhalchandra B. Godbole

Most studies of adaptive algorithm behavior consider performance measures based on mean values such as the mean-square error. The derived models are useful for understanding the algorithm behavior under different environments and can be…

Methodology · Statistics 2023-12-04 Marcos H. Maruo , José Carlos M. Bermudez

This paper introduces a novel constraint adaptive filtering algorithm based on a relative logarithmic cost function which is termed as Constrained Least Mean Logarithmic Square (CLMLS). The proposed CLMLS algorithm elegantly adjusts the…

Systems and Control · Computer Science 2018-01-22 Vinay Chakravarthi Gogineni , Subrahmanyam Mula

In a distributed network environment, the diffusion-least mean squares (LMS) algorithm gives faster convergence than the original LMS algorithm. It has also been observed that, the diffusion-LMS generally outperforms other distributed LMS…

Machine Learning · Computer Science 2015-09-07 Rangeet Mitra , Vimal Bhatia

In this paper, we investigate the diffusion least mean square (DLMS) algorithm over fading channel, where in addition to channel noise and path-loss the inter-node-interference (INI) among neighboring nodes of a host node is also taken into…

Signal Processing · Electrical Eng. & Systems 2023-03-21 Mohammadjavad Mirzazadeh Moallem , Mehdi Korki

In this paper, we introduce an adaptive graph normalized least mean pth power (GNLMP) algorithm for graph signal processing (GSP) that utilizes GSP techniques, including bandlimited filtering and node sampling, to estimate sampled graph…

Signal Processing · Electrical Eng. & Systems 2022-12-19 Yi Yan , Radwa Adel , Ercan Engin Kuruoglu

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

Sparse adaptive filtering has gained much attention due to its wide applicability in the field of signal processing. Among the main algorithm families, sparse norm constraint adaptive filters develop rapidly in recent years. However, when…

Systems and Control · Computer Science 2015-09-29 Yong Feng , Fei Chen , Rui Zeng , Jiasong Wu , Huazhong Shu

This work presents a new variation of the commonly used Least Mean Squares Algorithm (LMS) for the identification of sparse signals with an a-priori known sparsity using a hard threshold operator in every iteration. It examines some useful…

Systems and Control · Computer Science 2016-08-04 Lampros Flokas , Petros Maragos

This work presents a distributed algorithm for nonlinear adaptive learning. In particular, a set of nodes obtain measurements, sequentially one per time step, which are related via a nonlinear function; their goal is to collectively…

Information Theory · Computer Science 2016-02-09 Symeon Chouvardas , Moez Draief

In this study, we present a new approach to design a Least Mean Squares (LMS) predictor. This approach exploits the concept of deep neural networks and their supremacy in terms of performance and accuracy. The new LMS predictor is…

Signal Processing · Electrical Eng. & Systems 2019-05-14 Lubna Shibly Mokatren , Ahmet Enis Cetin , Rashid Ansari

This letter proposes a novel adaptive reduced-rank filtering scheme based on joint iterative optimization of adaptive filters. The novel scheme consists of a joint iterative optimization of a bank of full-rank adaptive filters that forms…

Information Theory · Computer Science 2012-05-22 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

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

A distributed adaptive algorithm is proposed to solve a node-specific parameter estimation problem where nodes are interested in estimating parameters of local interest, parameters of common interest to a subset of nodes and parameters of…

Computers and Society · Computer Science 2023-07-19 Jorge Plata-Chaves , Nikola Bogdanovic , Kostas Berberidis

The diffusion least-mean square (dLMS) algorithms have attracted much attention owing to its robustness for distributed estimation problems. However, the performance of such filters may change when they are implemented for suppressing…

Systems and Control · Computer Science 2017-08-09 Lu Lu , Haiquan Zhao

In this paper, we propose an adaptive framework for the variable step size of the fractional least mean square (FLMS) algorithm. The proposed algorithm named the robust variable step size-FLMS (RVSS-FLMS), dynamically updates the step size…

Optimization and Control · Mathematics 2017-11-15 Shujaat Khan , Muhammad Usman , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

In real-time applications the characteristics and properties of a signal vary inconsistently. So, to maintain the integrity of such signals there is a need for effective adaptive filters. The conventional Least Mean Squared(LMS) algorithm…

Signal Processing · Electrical Eng. & Systems 2021-12-01 R Sankara Prasad

In this paper, we propose a novel optimization algorithm for training machine learning models called Input Normalized Stochastic Gradient Descent (INSGD), inspired by the Normalized Least Mean Squares (NLMS) algorithm used in adaptive…

Machine Learning · Computer Science 2023-06-28 Salih Atici , Hongyi Pan , Ahmet Enis Cetin