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A distributed algorithm for least mean square (LMS) can be used in distributed signal estimation and in distributed training for multivariate regression models. The convergence speed of an algorithm is a critical factor because a faster…

信息论 · 计算机科学 2020-11-25 Tadashi Wadayama , Satoshi Takabe

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

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

统计方法学 · 统计学 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

Distributed adaptive signal processing has attracted much attention in the recent decade owing to its effectiveness in many decentralized real-time applications in networked systems. Because many natural signals are highly sparse with most…

最优化与控制 · 数学 2017-11-22 Xuanyu Cao , K. J. Ray Liu

We propose an adversarial evaluation framework for sensitive feature inference based on minimum mean-squared error (MMSE) estimation with a finite sample size and linear predictive models. Our approach establishes theoretical lower bounds…

机器学习 · 统计学 2025-05-15 Monica Welfert , Nathan Stromberg , Mario Diaz , Lalitha Sankar

The bias-compensated set-membership normalised LMS (BCSMNLMS) algorithm is proposed based on the concept of set-membership filtering, which incorporates the bias-compensation technique to mitigate the negative effect of noisy inputs.…

系统与控制 · 计算机科学 2018-04-20 Kaili Yin , Haiquan Zhao , Lu Lu

In this paper we study the computation of the nonparametric maximum likelihood estimator (NPMLE) in multivariate mixture models. Our first approach discretizes this infinite dimensional convex optimization problem by fixing the support…

统计方法学 · 统计学 2024-02-20 Yangjing Zhang , Ying Cui , Bodhisattva Sen , Kim-Chuan Toh

In this paper we have considered the problem of estimating the population mean in systematic sampling using information on an auxiliary variable in presence of non response. Some modified ratio, product and difference type estimators in…

统计方法学 · 统计学 2014-03-06 Hemant K. Verma , R. D. Singh , Rajesh Singh

We consider least squares estimation in a general nonparametric regression model. The rate of convergence of the least squares estimator (LSE) for the unknown regression function is well studied when the errors are sub-Gaussian. We find…

统计理论 · 数学 2021-04-12 Arun K. Kuchibhotla , Rohit K. Patra

This paper describes several new algorithms for estimating the parameters of a periodic bandlimited signal from samples corrupted by jitter (timing noise) and additive noise. Both classical (non-random) and Bayesian formulations are…

应用统计 · 统计学 2016-09-08 Daniel S. Weller , Vivek K Goyal

We devise neuro-dynamic state estimation (Neuro-DSE), a learning-based dynamic state estimation (DSE) algorithm for networked microgrids (NMs) under unknown subsystems. Our contributions include: 1) a data-driven Neuro-DSE algorithm for NMs…

系统与控制 · 电气工程与系统科学 2023-08-17 Fei Feng , Yifan Zhou , Peng Zhang

A multiple interval-valued linear regression model considering all the cross-relationships between the mids and spreads of the intervals has been introduced recently. A least-squares estimation of the regression parameters has been carried…

统计理论 · 数学 2016-02-09 Marta García Bárzana , Ana Colubi , Erricos John Kontoghiorghes

Broadband signal transmission over frequency-selective fading channel often requires accurate channel state information at receiver. One of the most attracting adaptive channel estimation methods is least mean square (LMS) algorithm.…

信息论 · 计算机科学 2013-04-16 Guan Gui , Abolfazl Mehbodniya , Fumiyuki Adachi

We present a scalable post-processing algorithm for debiasing trained models, including deep neural networks (DNNs), which we prove to be near-optimal by bounding its excess Bayes risk. We empirically validate its advantages on standard…

机器学习 · 计算机科学 2022-08-24 Ibrahim Alabdulmohsin , Mario Lucic

Nearest neighbor (NN) algorithms have been extensively used for missing data problems in recommender systems and sequential decision-making systems. Prior theoretical analysis has established favorable guarantees for NN when the underlying…

机器学习 · 统计学 2025-09-03 Tathagata Sadhukhan , Manit Paul , Raaz Dwivedi

We experimentally validate a mode-dependent loss (MDL) estimation technique employing acorrection factor to remove the MDL estimation dependence on the SNR when using a minimum meansquare error (MMSE) equalizer. A reduction of the MDL…

Recently, the data-selective adaptive Volterra filters have been proposed; however, up to now, there are not any theoretical analyses on its behavior rather than numerical simulations. Therefore, in this paper, we analyze the robustness (in…

机器学习 · 计算机科学 2020-03-26 Javad Sharafi , Abbas Maarefparvar

In this paper we consider the issue of reliability of measurements in distributed adaptive estimation problem. To this aim, we assume a sensor network with different observation noise variance among the sensors and propose new estimation…

系统与控制 · 计算机科学 2015-07-27 Wael M. Bazzi , Amir Rastegarnia , Azam Khalili

Offline model selection (OMS), that is, choosing the best policy from a set of many policies given only logged data, is crucial for applying offline RL in real-world settings. One idea that has been extensively explored is to select…

机器学习 · 计算机科学 2023-10-18 Joshua P. Zitovsky , Daniel de Marchi , Rishabh Agarwal , Michael R. Kosorok

This paper investigates the minimum mean square error (MMSE) estimation of x, given the observation y = Hx+n, when x and n are independent and Gaussian Mixture (GM) distributed. The introduction of GM distributions, represents a…

统计理论 · 数学 2011-08-18 John T. Flam , Saikat Chatterjee , Kimmo Kansanen , Torbjorn Ekman