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The purpose of this paper is to indicate that the recently proposed Momentum fractional least mean squares (mFLMS) algorithm has some serious flaws in its design and analysis. Our apprehensions are based on the evidence we found in the…

Optimization and Control · Mathematics 2018-05-22 Shujaat Khan , Imran Naseem , Alishba Sadiq , Jawwad Ahmad , Muhammad Moinuddin

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

We propose an iterative quantum-assisted least squares (i-QLS) optimization method that leverages quantum annealing to overcome the scalability and precision limitations of prior quantum least squares approaches. Unlike traditional…

Algorithms for learning a dictionary to sparsely represent a given dataset typically alternate between sparse coding and dictionary update stages. Methods for dictionary update aim to minimise expansion error by updating dictionary vectors…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Qi Yu , Wei Dai , Zoran Cvetkovic , Jubo Zhu

We propose a block least mean square (LMS) algorithm to monitor the longitudinal power profile of a fiber-optic link through receiver-based digital data from a coherent detector. Compared to the benchmark least squares (LS) method, the…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Paolo Serena , Chiara Lasagni , Alberto Bononi , Fabien Boitier , Joana Girard-Jollet

Non-convex quadratically constrained quadratic programming (QCQP) problems have numerous applications in signal processing, machine learning, and wireless communications, albeit the general QCQP is NP-hard, and several interesting special…

Optimization and Control · Mathematics 2016-09-21 Kejun Huang , Nicholas D. Sidiropoulos

Despite the cheap availability of computing resources enabling faster Monte Carlo simulations, the potential benefits of particle filtering in revealing accurate statistical information on the imprecisely known model parameters or modeling…

Methodology · Statistics 2014-02-07 Saikat Sarkar , Debasish Roy

The kernel least-mean-square (KLMS) algorithm is an appealing tool for online identification of nonlinear systems due to its simplicity and robustness. In addition to choosing a reproducing kernel and setting filter parameters, designing a…

Machine Learning · Statistics 2013-11-01 Jie Chen , Wei Gao , Cédric Richard , Jose-Carlos M. Bermudez

The robustness of the kernel recursive least square (KRLS) algorithm has recently been improved by combining them with more robust information-theoretic learning criteria, such as minimum error entropy (MEE) and generalized MEE (GMEE),…

Information Theory · Computer Science 2023-09-07 Jiacheng He , Gang Wang , Kun Zhang , Shan Zhong , Bei Peng

In the linear minimum mean square error (LMMSE) estimation for orthogonal frequency division multiplexing (OFDM) systems, the problem about the determination of the algorithm's parameters, especially those related with channel frequency…

Signal Processing · Electrical Eng. & Systems 2021-07-13 Kai Mei , Jun Liu , Xiaoran Liu , Jun Xiong , Xiaoying Zhang , Jibo Wei

Dimensionality reduction plays an important role in computer vision problems since it reduces computational cost and is often capable of yielding more discriminative data representation. In this context, Partial Least Squares (PLS) has…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Artur Jordao , Maiko Lie , Victor Hugo Cunha de Melo , William Robson Schwartz

Non-concave maximization has been the subject of much recent study in the optimization and machine learning communities, specifically in deep learning. Recent papers Ge et al, Lee et al (and references therein) indicate that first order…

Optimization and Control · Mathematics 2020-01-14 Ioannis Panageas , Georgios Piliouras , Xiao Wang

In this paper we present a new Kalman filter extension for state update called Partitioned Update Kalman Filter (PUKF). PUKF updates the state using multidimensional measurements in parts. PUKF evaluates the nonlinearity of the measurement…

Optimization and Control · Mathematics 2016-03-15 Matti Raitoharju , Robert Piché , Juha Ala-Luhtala , Simo Ali-Löytty

Stochastic models in biomolecular contexts can have a state-dependent process noise covariance. The choice of the process noise covariance is an important parameter in the design of a Kalman Filter for state estimation and the theoretical…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Krishan Kumar Gola , Shaunak Sen

Pruning large language models (LLMs) is a challenging task due to their enormous size. The primary difficulty is fine-tuning the model after pruning, which is needed to recover the lost performance caused by dropping weights. Recent…

Computation and Language · Computer Science 2024-07-23 Vladimír Boža

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 this paper, a family of novel diffusion adaptive estimation algorithm is proposed from the asymmetric cost function perspective by combining diffusion strategy and the linear-linear cost (LLC), quadratic-quadratic cost (QQC), and…

Machine Learning · Computer Science 2021-07-08 Sihai Guan , Qing Cheng , Yong Zhao

Aligning general-purpose large language models (LLMs) to downstream tasks often incurs significant training adjustment costs. Prior research has explored various avenues to enhance alignment efficiency, primarily through minimal-data…

Computation and Language · Computer Science 2025-06-19 Hao Chen , Haoze Li , Zhiqing Xiao , Lirong Gao , Qi Zhang , Xiaomeng Hu , Ningtao Wang , Xing Fu , Junbo Zhao

We present an Alternating Direction Method of Multipliers (ADMM) algorithm for solving optimization problems with an l_1 regularized least-squares cost function subject to recursive equality constraints. The considered optimization problem…

Systems and Control · Computer Science 2012-03-20 Mariette Annergren , Anders Hansson , Bo Wahlberg

In this paper, we propose an inexact Augmented Lagrangian Method (ALM) for the optimization of convex and nonsmooth objective functions subject to linear equality constraints and box constraints where errors are due to fixed-point data. To…

Optimization and Control · Mathematics 2019-07-23 Yan Zhang , Michael M. Zavlanos