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Over the last few years, debiased estimators have been proposed in order to establish rigorous confidence intervals for high-dimensional problems in machine learning and data science. The core argument is that the error of these estimators…

信号处理 · 电气工程与系统科学 2024-07-19 Frederik Hoppe , Claudio Mayrink Verdun , Felix Krahmer , Marion I. Menzel , Holger Rauhut

Linear regression model (LRM) based on mean square error (MSE) criterion is widely used in Granger causality analysis (GCA), which is the most commonly used method to detect the causality between a pair of time series. However, when signals…

统计方法学 · 统计学 2019-02-20 Badong Chen , Rongjin Ma , Siyu Yu , Shaoyi Du , Jing Qin

Quantum Error Mitigation (QEM) enables the extraction of high-quality results from the presently-available noisy quantum computers. In this approach, the effect of the noise on observables of interest can be mitigated using multiple…

量子物理 · 物理学 2023-11-23 Ivan Henao , Jader P. Santos , Raam Uzdin

Quantitative susceptibility mapping (QSM) utilizes MRI signal phase to infer estimates of local tissue magnetism (magnetic susceptibility), which has been shown useful to provide novel image contrast and as biomarkers of abnormal tissue.…

医学物理 · 物理学 2019-04-16 Juan Liu , Kevin M. Koch

In quantum state tomography, the estimated frequencies do not correspond directly to a physical quantum state, due to statistical fluctuations. Thus, one resorts to point estimators that return the state that matches observations the best,…

量子物理 · 物理学 2018-11-09 Sacha Schwarz , Bruno Eckmann , Denis Rosset , André Stefanov

Quantum secret sharing (QSS) enables a dealer to securely distribute keys to multiple players. Device-independent (DI) QSS can resist all possible attacks from practical imperfect devices and provide QSS the highest level of security in…

Noise is an important factor that influences the reliability of information acquisition, transmission, processing, and storage. In order to suppress the inevitable noise effects, a fault-tolerant information processing approach via quantum…

量子物理 · 物理学 2026-03-27 Qi Song , Hongjing Li , Chengxi Yu , Jingzheng Huang , Ding Wang , Peng Huang , Guihua Zeng

Estimating the generalization error (GE) of machine learning models is fundamental, with resampling methods being the most common approach. However, in non-standard settings, particularly those where observations are not independently and…

Background: Current mathematical quantification methods for beam symmetry are highly sensitive to noise, especially in beam profiles with significant variation. Purpose: This study evaluates the accuracy of standard radiotherapy beam…

医学物理 · 物理学 2025-09-30 Dalton H Bermudez , Wesley Culberson

We address numerical differentiation under coarse, non-uniform sampling and Gaussian noise. A maximum-likelihood estimator with $L_2$-norm constraint on a higher-order derivative is obtained, yielding spline-based solution. We introduce a…

统计方法学 · 统计学 2025-07-31 Konstantin E. Avrachenkov , Leonid B. Freidovich

We consider an unsupervised bilevel optimization strategy for learning regularization parameters in the context of imaging inverse problems in the presence of additive white Gaussian noise. Compared to supervised and semi-supervised metrics…

最优化与控制 · 数学 2024-03-13 Carlo Santambrogio , Monica Pragliola , Alessandro Lanza , Marco Donatelli , Luca Calatroni

Recently, the wearable and non-invasive blood glucose estimation approach has been proposed. However, due to the unreliability of the acquisition device, the presence of the noise and the variations of the acquisition environments, the…

医学物理 · 物理学 2025-03-07 Yiting Wei , Bingo Wing-Kuen Ling , Danni Chen , Yuheng Dai , Qing Liu

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…

统计方法学 · 统计学 2021-11-05 Francesco Giordano , Pietro Coretto

Low-dose computed tomography (CT) represents a significant improvement in patient safety through lower radiation doses, but increased noise, blur, and contrast loss can diminish diagnostic quality. Therefore, consistency and robustness in…

计算机视觉与模式识别 · 计算机科学 2025-11-11 Kagan Celik , Mehmet Ozan Unal , Metin Ertas , Isa Yildirim

The problem of distributed estimation of a parametric physical field is stated as a maximum likelihood estimation problem. Sensor observations are distorted by additive white Gaussian noise. Prior to data transmission, each sensor quantizes…

信息论 · 计算机科学 2012-09-21 Natalia A. Schmid , Marwan Alkhweldi , Matthew C. Valenti

Knowledge of the noise distribution in magnitude diffusion MRI images is the centerpiece to quantify uncertainties arising from the acquisition process. The use of parallel imaging methods, the number of receiver coils and imaging filters…

计算机视觉与模式识别 · 计算机科学 2018-10-03 Samuel St-Jean , Alberto De Luca , Max A. Viergever , Alexander Leemans

This paper analyses the application of no-reference metric NIQE to the task of video-codec comparison. A number of issues in the metric behaviour on videos was detected and described. The metric has outlying scores on black and…

多媒体 · 计算机科学 2019-08-30 Anastasia Zvezdakova , Dmitriy Kulikov , Denis Kondranin , Dmitriy Vatolin

The minimum mean-square error of the estimation of a signal where observed from the additive white Gaussian noise (WGN) channel's output, is analyzed. It is assumed that the channel input's signal is composed of a (normalized) sum of N…

信息论 · 计算机科学 2007-07-13 Jacob Binia

Digital images contain a lot of redundancies, therefore, compression techniques are applied to reduce the image size without loss of reasonable image quality. Same become more prominent in the case of videos which contains image sequences…

计算机视觉与模式识别 · 计算机科学 2023-05-17 Nisar Ahmed , Hafiz Muhammad Shahzad Asif , Hassan Khalid

We have developed a new regression technique, the maximum likelihood (ML)-based method and its variant, the KS-test based method, designed to obtain unbiased regression results from typical astronomical data. A normalizing flow model is…

天体物理仪器与方法 · 物理学 2025-06-27 Tao Jing , Cheng Li