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This paper aims to investigate the asymptotic error distribution of several numerical methods for stochastic partial differential equations (SPDEs) with multiplicative noise. Firstly, we give the limit distribution of the normalized error…

Numerical Analysis · Mathematics 2025-11-10 Jialin Hong , Diancong Jin , Xu Wang

In many real applications, the distribution of measurement error could vary with each subject or even with each observation so the errors are heteroscedastic. In this paper, we propose a fast algorithm using a simulation-extrapolation…

Statistics Theory · Mathematics 2009-02-13 Xiao-Feng Wang , Jiayang Sun , Zhaozhi Fan

We present an algorithm to estimate fast and accurate depth maps from light fields via a sparse set of depth edges and gradients. Our proposed approach is based around the idea that true depth edges are more sensitive than texture edges to…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Numair Khan , Min H. Kim , James Tompkin

The measurement error with normal distribution is universal in applications. Generally, smaller measurement error requires better instrument and higher test cost. In decision making based on attribute values of objects, we shall select an…

Artificial Intelligence · Computer Science 2013-06-04 Hong Zhao , Fan Min , William Zhu

We investigate methods for experimental performance enhancement of auto-encoders based on a recurrent neural network (RNN) for communication over dispersive nonlinear channels. In particular, our focus is on the recently proposed sliding…

Signal Processing · Electrical Eng. & Systems 2020-05-19 Boris Karanov , Mathieu Chagnon , Vahid Aref , Filipe Ferreira , Domanic Lavery , Polina Bayvel , Laurent Schmalen

Entity Resolution (ER) is a critical data cleaning task for identifying records that refer to the same real-world entity. In the era of Big Data, traditional batch ER is often infeasible due to volume and velocity constraints, necessitating…

Databases · Computer Science 2026-01-05 Dimitrios Karapiperis , George Papadakis , Vassilios Verykios

In this article we have suggested an improved estimator for estimating the population mean in simple random sampling using auxiliary information under the presence of measurement errors. The mean square error (MSE) of the proposed estimator…

Applications · Statistics 2013-12-05 Sachin Malik , Jayant Singh , Rajesh Singh

Verification of solutions is crucial for establishing the reliability of simulations. A central challenge is to find an accurate and reliable estimate of the discretization error. Current approaches to this estimation rely on the observed…

Numerical Analysis · Mathematics 2023-01-18 Sharp Chim Yui Lo

We study the problem of semi-blind channel estimation and symbol detection in the uplink of multi-cell massive MIMO systems with spatially correlated time-varying channels. An algorithm based on expectation propagation (EP) is developed to…

Information Theory · Computer Science 2022-12-06 Mort Naraghi-Pour , Mohammed Rashid , Cesar Vargas-Rosales

Estimation is a critical component of synchronization in wireless and signal processing systems. There is a rich body of work on estimator derivation, optimization, and statistical characterization from analytic system models which are used…

Machine Learning · Computer Science 2017-07-21 Timothy J. O'Shea , Kiran Karra , T. Charles Clancy

This work describes a method of approximating matrix permanents efficiently using belief propagation. We formulate a probability distribution whose partition function is exactly the permanent, then use Bethe free energy to approximate this…

Machine Learning · Computer Science 2009-08-13 Bert Huang , Tony Jebara

Belief propagation is a widely used message passing method for the solution of probabilistic models on networks such as epidemic models, spin models, and Bayesian graphical models, but it suffers from the serious shortcoming that it works…

Statistical Mechanics · Physics 2021-04-27 Alec Kirkley , George T. Cantwell , M. E. J. Newman

This letter proposes a Bayesian channel estimation method that leverages on the a priori information provided by the Electromagnetic Digital Twin's (EM-DT) representation of the environment. The proposed approach is compared with several…

Networking and Internet Architecture · Computer Science 2025-01-08 Lorenzo Del Moro , Francesco Linsalata , Marouan Mizmizi , Maurizio Magarini , Damiano Badini , Umberto Spagnolini

This paper presents a novel strategy to decentralize the soft detection procedure in an uplink cell-free massive multiple-input-multiple-output network. We propose efficient approaches to compute the a posteriori probability-per-bit,…

Information Theory · Computer Science 2021-12-01 Zakir Hussain Shaik , Emil Björnson , Erik G. Larsson

Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

Methodology · Statistics 2021-11-05 Francesco Giordano , Pietro Coretto

Parameter extension simulation (PES) as a mathematical method for simulating turbulent flows has been proposed in the study. It is defined as a calculation of the turbulent flow for the desired parameter values with the help of a reference…

Fluid Dynamics · Physics 2020-01-08 Yan Jin

Phase retrieval refers to the problem of recovering a signal $\mathbf{x}_{\star}\in\mathbb{C}^n$ from its phaseless measurements $y_i=|\mathbf{a}_i^{\mathrm{H}}\mathbf{x}_{\star}|$, where $\{\mathbf{a}_i\}_{i=1}^m$ are the measurement…

Information Theory · Computer Science 2020-09-10 Junjie Ma , Rishabh Dudeja , Ji Xu , Arian Maleki , Xiaodong Wang

Spectrum Sensing (SS) constitutes the most critical task i n Cognitive Radio (CR) systems for Primary User (PU) detection. Cooperative Spectrum Sensing (CSS) is introduced to enhance the detection reliability of the PU in fading…

Information Theory · Computer Science 2015-05-22 Hossam M. Farag , Ehab Mahmoud Mohamed

In industry, online randomized controlled experiment (a.k.a. A/B experiment) is a standard approach to measure the impact of a causal change. These experiments have small treatment effect to reduce the potential blast radius. As a result,…

Econometrics · Economics 2025-05-29 Tanmoy Das , Dohyeon Lee , Arnab Sinha

Many real-world data mining applications need varying cost for different types of classification errors and thus call for cost-sensitive classification algorithms. Existing algorithms for cost-sensitive classification are successful in…

Machine Learning · Computer Science 2017-10-27 Te-Kang Jan , Da-Wei Wang , Chi-Hung Lin , Hsuan-Tien Lin
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