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Not a matter of serious contention, Pearson's correlation coefficient is still the most important statistical association measure. Restricted to just two variables, this measure sometimes doesn't live up to users' needs and expectations.…

数理金融 · 定量金融 2024-02-02 Reza Salimi , Kamran Pakizeh

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

There are very different statistical methods for demonstrating a trend in pharmacological experiments. Here, the focus is on sparse models with only one parameter to be estimated and interpreted: the increase in the regression model and the…

应用统计 · 统计学 2020-07-21 Ludwig A. Hothorn

Noisy labels are ubiquitous in real-world datasets, which poses a challenge for robustly training deep neural networks (DNNs) as DNNs usually have the high capacity to memorize the noisy labels. In this paper, we find that the test accuracy…

机器学习 · 计算机科学 2019-05-14 Pengfei Chen , Benben Liao , Guangyong Chen , Shengyu Zhang

When two variables are related by a known function, the coefficient of determination (denoted $R^2$) measures the proportion of the total variance in the observations that is explained by that function. This quantifies the strength of the…

应用统计 · 统计学 2013-03-11 Ben Murrell , Daniel Murrell , Hugh Murrell

Cross-modal retrieval aims to align different modalities via semantic similarity. However, existing methods often assume that image-text pairs are perfectly aligned, overlooking Noisy Correspondences in real data. These misaligned pairs…

计算机视觉与模式识别 · 计算机科学 2026-04-09 Zhuoyao Liu , Yang Liu , Wentao Feng , Shudong Huang

Cosine similarity is an established similarity metric for computing associations on vectors, and it is commonly used to identify related samples from biological perturbational data. The distribution of cosine similarity changes with the…

Pearson's r, the most widely-used correlation coefficient, is traditionally regarded as exclusively capturing linear dependence, leading to its discouragement in contexts involving nonlinear relationships. However, recent research…

其他统计学 · 统计学 2024-10-15 Xinbo Ai

The abundance of data produced daily from large variety of sources has boosted the need of novel approaches on causal inference analysis from observational data. Observational data often contain noisy or missing entries. Moreover, causal…

统计方法学 · 统计学 2017-03-14 Fani Tsapeli , Peter Tino , Mirco Musolesi

Pearson's is the most common correlation statistic, used mainly in parametric settings. Most common among nonparametric correlation statistics are Spearman's and Kendall's. We show that for bivariate normal i.i.d. samples the pairwise…

统计理论 · 数学 2009-08-03 Raymond Molzon , Iosif Pinelis

Clinical SPECT-MPI images of 345 patients acquired from a dedicated cardiac SPECT in list-mode format were retrospectively employed to predict normal-dose images from low-dose data at the half, quarter, and one-eighth-dose levels. A…

The density estimation is one of the core problems in statistics. Despite this, existing techniques like maximum likelihood estimation are computationally inefficient due to the intractability of the normalizing constant. For this reason an…

机器学习 · 计算机科学 2021-01-14 Tsimboy Olga , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

The problem of testing changes in covariance has received increasing attention in recent years, especially in the context of high-dimensional testing. A number of approaches have been proposed, all limited to the two-sample problem and…

统计方法学 · 统计学 2016-09-06 Yi-Hui Zhou

In this paper, a robust non-parametric measure of statistical dependence, or correlation, between two random variables is presented. The proposed coefficient is a permutation-like statistic that quantifies how much the observed sample S_n :…

统计方法学 · 统计学 2020-07-27 Rami Mahdi

In this paper, we review state-of-the-art methods for feature selection in statistics with an application-oriented eye. Indeed, sparsity is a valuable property and the profusion of research on the topic might have provided little guidance…

统计方法学 · 统计学 2021-11-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

Through computer simulations, we research several different measures of dependence, including Pearson's and Spearman's correlation coefficients, the maximal correlation, the distance correlation, a function of the mutual information called…

统计方法学 · 统计学 2023-03-16 Oona Rainio

Covariate adjustment is widely recommended to improve statistical efficiency in randomized clinical trials (RCTs), yet empirical evidence comparing available strategies remains limited. This lack of real-world evaluation leaves unresolved…

应用统计 · 统计学 2026-02-03 Yulin Shao , Liangbo Lyu , Menggang Yu , Bingkai Wang

Under complete linkage disequilibrium (LD), robust tests often have greater power than Pearson's chi-square test and trend tests for the analysis of case-control genetic association studies. Robust statistics have been used in…

统计方法学 · 统计学 2010-10-26 Gang Zheng , Jungnam Joo , Dmitri Zaykin , Colin Wu , Nancy Geller

Diffusion models offer a robust framework for sampling from unnormalized probability densities, which requires accurately estimating the score of the noise-perturbed target distribution. While the standard Denoising Score Identity (DSI)…

机器学习 · 计算机科学 2025-12-24 Khaled Kahouli , Romuald Elie , Klaus-Robert Müller , Quentin Berthet , Oliver T. Unke , Arnaud Doucet

In the field of medical image analysis, deep learning models have demonstrated remarkable success in enhancing diagnostic accuracy and efficiency. However, the reliability of these models is heavily dependent on the quality of training…

图像与视频处理 · 电气工程与系统科学 2024-07-12 Maolin Li , Giacomo Tarroni
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