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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…

机器学习 · 计算机科学 2023-12-05 Soheil Ashkezari-Toussi , Hadi sadoghi-Yazdi

We show that a new design criterion, i.e., the least squares on subband errors regularized by a weighted norm, can be used to generalize the proportionate-type normalized subband adaptive filtering (PtNSAF) framework. The new criterion…

信号处理 · 电气工程与系统科学 2021-11-18 Kuan-Lin Chen , Ching-Hua Lee , Bhaskar D. Rao , Harinath Garudadri

We introduce a new analysis of an adaptive mixture method that combines outputs of two constituent filters running in parallel to model an unknown desired signal. This adaptive mixture is shown to achieve the mean square error (MSE)…

系统与控制 · 计算机科学 2012-03-20 Mehmet A. Donmez , Sait Tunc , Suleyman S. Kozat

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…

信号处理 · 电气工程与系统科学 2021-08-10 Tareq Y. Al-Naffouri , Muhammad Moinuddin , Anum Ali

The problem of network-constrained averaging is to compute the average of a set of values distributed throughout a graph G using an algorithm that can pass messages only along graph edges. We study this problem in the noisy setting, in…

分布式、并行与集群计算 · 计算机科学 2015-06-15 Nima Noorshams , Martin Wainwright

Some system identification problems impose nonnegativity constraints on the parameters to estimate due to inherent physical characteristics of the unknown system. The nonnegative least-mean-square (NNLMS) algorithm and its variants allow to…

数值分析 · 计算机科学 2015-08-25 Jingen Ni , Jian Yang , Jie Chen , Cédric Richard , José Carlos M. Bermudez

State filtering is a key problem in many signal processing applications. From a series of noisy measurement, one would like to estimate the state of some dynamic system. Existing techniques usually adopt a Gaussian noise assumption which…

统计方法学 · 统计学 2016-12-16 Bin Liu

State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

机器学习 · 计算机科学 2025-06-16 Aamir Hussain Chughtai

Building upon the mean p-power error (MPE) criterion, the normalized subband p-norm (NSPN) algorithm demonstrates superior robustness in $\alpha$-stable noise environments ($1 < \alpha \leq 2$) through effective utilization of low-order…

信号处理 · 电气工程与系统科学 2026-01-16 Jianhong Ye , Haiquan Zhao , Yi Peng

Policy-gradient methods are widely used in reinforcement learning, yet training often becomes unstable or slows down as learning progresses. We study this phenomenon through the noise-to-signal ratio (NSR) of a policy-gradient estimator,…

最优化与控制 · 数学 2026-02-10 Haoyu Han , Heng Yang

This article presents the formulation and steady-state analysis of the distributed estimation algorithms based on the diffusion cooperation scheme in the presence of errors due to the unreliable data transfer among nodes. In particular, we…

系统与控制 · 计算机科学 2013-10-29 Saeed Ghazanfari-Rad , Fabrice Labeau

The so-called constrained least mean-square algorithm is one of the most commonly used linear-equality-constrained adaptive filtering algorithms. Its main advantages are adaptability and relative simplicity. In order to gain analytical…

系统与控制 · 计算机科学 2015-02-26 Reza Arablouei , Kutluyıl Doğançay , Stefan Werner

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing in many applications such as Radar imaging. Unlike the NSS, in this paper, we propose an adaptive sparse sensing (ASS) approach using reweighted…

信息论 · 计算机科学 2015-06-18 Guan Gui , Li Xu , Fumiyuki Adachi

We develop a Bayesian framework for sensing which adapts the sensing time and/or basis functions to the instantaneous sensing quality measured in terms of the expected posterior mean-squared error. For sparse Gaussian sources a significant…

信息论 · 计算机科学 2018-02-12 Ralf R. Müller , Ali Bereyhi , Christoph F. Mecklenbräuker

We investigate the usage of a recently introduced noise-cancellation algorithm for Brownian simulations to enhance the precision of measuring transport properties such as the mean-square displacement or the velocity-autocorrelation…

计算物理 · 物理学 2024-01-31 Regina Rusch , Thomas Franosch , Gerhard Jung

Efficient and robust online processing technique of irregularly structured data is crucial in the current era of data abundance. In this paper, we propose a graph/network version of the classical adaptive Sign algorithm for online graph…

信号处理 · 电气工程与系统科学 2022-01-19 Yi Yan , Ercan E. Kuruoglu , Mustafa A. Altinkaya

This paper introduces a noise-tolerant computing method for over-the-air computation (AirComp) aimed at weighted averaging, which is critical in various Internet of Things (IoT) applications such as environmental monitoring. Traditional…

信号处理 · 电气工程与系统科学 2025-04-23 Koya Sato , Koji Ishibashi

Consider the minimum mean-square error (MMSE) of estimating an arbitrary random variable from its observation contaminated by Gaussian noise. The MMSE can be regarded as a function of the signal-to-noise ratio (SNR) as well as a functional…

信息论 · 计算机科学 2010-04-21 Dongning Guo , Yihong Wu , Shlomo Shamai , Sergio Verdu

Graph signal processing (GSP) studies signals that live on irregular data kernels described by graphs. One fundamental problem in GSP is sampling---from which subset of graph nodes to collect samples in order to reconstruct a bandlimited…

信号处理 · 电气工程与系统科学 2018-12-05 Fen Wang , Yongchao Wang , Gene Cheung

In this work, we present a new perspective on the origin and interpretation of adaptive filters. By applying Bayesian principles of recursive inference from the state-space model and using a series of simplifications regarding the structure…

信息检索 · 计算机科学 2025-07-02 Leszek Szczecinski , Jacob Benesty , Eduardo Vinicius Kuhn