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This paper introduces a novel adaptive framework for processing dynamic flow signals over simplicial complexes, extending classical least-mean-squares (LMS) methods to high-order topological domains. Building on discrete Hodge theory, we…

Signal Processing · Electrical Eng. & Systems 2025-05-30 Lorenzo Marinucci , Claudio Battiloro , Paolo Di Lorenzo

In this paper, we introduce a new algorithm to deal with the stalling effect in the LMS algorithm used in adaptive filters. We modify the update rule of the tap weight vectors by adding noise, generated by a noise generator. The properties…

Signal Processing · Electrical Eng. & Systems 2018-07-20 Hamid Reza Shahdoosti

In large-scale data processing scenarios, data often arrive in sequential streams generated by complex systems that exhibit drifting distributions and time-varying system parameters. This nonstationarity challenges theoretical analysis, as…

Machine Learning · Computer Science 2026-02-13 Yifei Jin , Xin Zheng , Lei Guo

This work presents a novel approach to the mean-square analysis of the normalized least mean squares (NLMS) algorithm for circular complex colored Gaussian inputs. The analysis is based on the derivation of a closed-form expression for the…

Signal Processing · Electrical Eng. & Systems 2021-08-10 Tareq Y. Al-Naffouri , Muhammad Moinuddin , Anum Ali

Recently, quaternion-valued signal processing has received more and more attention. In this paper, the quaternion-valued sparse system identification problem is studied for the first time and a zero-attracting quaternion-valued least mean…

Numerical Analysis · Mathematics 2014-06-24 Mengdi Jiang , Wei Liu , Yi Li

This paper proposes a new adaptive algorithm for the implementation of the linearly constrained minimum variance (LCMV) beamformer. The proposed algorithm utilizes the set-membership filtering (SMF) framework and the reduced-rank joint…

Information Theory · Computer Science 2013-03-18 Lei Wang , Rodrigo C. de Lamare

While the filtered-x normalized least mean square (FxNLMS) algorithm is widely applied due to its simple structure and easy implementation for active noise control system, it faces two critical limitations: the fixed step-size causes a…

Information Theory · Computer Science 2026-01-26 Zhiyuan Li , Yi Yu , Hongsen He , Yuyu Zhu , Rodrigo C. de Lamare

This work aims to introduce the framework of polynomial optimization theory to solve fractional polynomial problems (FPPs). Unlike other widely used optimization frameworks, the proposed one applies to a larger class of FPPs, not…

Information Theory · Computer Science 2018-10-17 Andrea Pizzo , Alessio Zappone , Luca Sanguinetti

Twin support vector machine~(TSVM) is a powerful learning algorithm by solving a pair of smaller SVM-type problems. However, there are still some specific issues such as low efficiency and weak robustness when it is faced with some real…

Machine Learning · Computer Science 2019-07-30 Bin-Bin Gao , Jian-Jun Wang

A number of recent emerging applications call for studying data streams, potentially infinite flows of information updated in real-time. When multiple co-evolving data streams are observed, an important task is to determine how these…

Statistical Finance · Quantitative Finance 2009-02-08 Giovanni Montana , Kostas Triantafyllopoulos , Theodoros Tsagaris

In this chapter we focus on slack reclamation and propose a new slack reclamation technique, Multiple Frequency Selection DVFS (MFS-DVFS). The key idea is to execute each task with a linear combination of more than one frequency such that…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-05 Nikzad Babaii Rizvandi , Albert Y. Zomaya , Young Choon Lee , Ali Javadzadeh Boloori , Javid Taheri

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

In order to function reliably, synthetic molecular circuits require mechanisms that allow them to adapt to environmental disturbances. Least mean squares (LMS) schemes, such as commonly encountered in signal processing and control, provide…

Molecular Networks · Quantitative Biology 2017-01-04 Christoph Zechner , Mustafa Khammash

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

The random vector functional link (RVFL) network is well-regarded for its strong generalization capabilities in the field of machine learning. However, its inherent dependencies on the square loss function make it susceptible to noise and…

Machine Learning · Computer Science 2024-10-08 M. Sajid , A. Quadir , M. Tanveer

As one of the recently proposed algorithms for sparse system identification, $l_0$ norm constraint Least Mean Square ($l_0$-LMS) algorithm modifies the cost function of the traditional method with a penalty of tap-weight sparsity. The…

Information Theory · Computer Science 2015-06-04 Guolong Su , Jian Jin , Yuantao Gu , Jian Wang

Recently a framework has been introduced within which a large number of classical and modern adaptive filter algorithms can be viewed as special cases. Variable Step-Size (VSS) normalized least mean square (VSSNLMS) and VSS Affine…

Information Theory · Computer Science 2011-06-07 Sayed A. Hadei , Paeiz Azmi

This paper presents novel adaptive reduced-rank filtering algorithms 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…

Information Theory · Computer Science 2013-04-30 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

Recently, the leaky diffusion least-mean-square (DLMS) algorithm has obtained much attention because of its good performance for high input eigenvalue spread and low signal-to-noise ratio (SNR). However, the leaky DLMS algorithm may suffer…

Signal Processing · Electrical Eng. & Systems 2018-11-01 Long Shi , Haiquan Zhao

Distributed algorithms, particularly Diffusion Least Mean Square, are widely favored for their reliability, robustness, and fast convergence in various industries. However, limited observability of the target can compromise the integrity of…

Signal Processing · Electrical Eng. & Systems 2023-10-18 Mahdi Shamsi , Farokh Marvasti
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