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Correlation coefficients play a pivotal role in quantifying linear relationships between random variables. Yet, their application to time series data is very challenging due to temporal dependencies. This paper introduces a novel approach…

Methodology · Statistics 2024-01-09 Johan Medrano , Abderrahmane Kheddar , Sofiane Ramdani

Variable importance plays a pivotal role in interpretable machine learning as it helps measure the impact of factors on the output of the prediction model. Model agnostic methods based on the generation of "null" features via permutation…

Measuring the (causal) direction and strength of dependence between two variables (events), Xi and Xj , is fundamental for all science. Our survey of decades-long literature on statistical dependence reveals that most assume symmetry in the…

Methodology · Statistics 2022-12-01 Hrishikesh Vinod

Simple correlation coefficients between two variables have been generalized to measure association between two matrices in many ways. Coefficients such as the RV coefficient, the distance covariance (dCov) coefficient and kernel based…

Methodology · Statistics 2014-08-19 Julie Josse , Susan Holmes

In a bivariate setting, we consider the problem of detecting a sparse contamination or mixture component, where the effect manifests itself as a positive dependence between the variables, which are otherwise independent in the main…

Statistics Theory · Mathematics 2020-01-13 Ery Arias-Castro , Rong Huang , Nicolas Verzelen

When testing for the mean vector in a high dimensional setting, it is generally assumed that the observations are independently and identically distributed. However if the data are dependent, the existing test procedures fail to preserve…

Statistics Theory · Mathematics 2014-11-17 Deepak Nag Ayyala , Junyong Park , Anindya Roy

In this paper, we investigate the use of an unsupervised label clustering technique and demonstrate that it enables substantial improvements in visual relationship prediction accuracy on the Person in Context (PIC) dataset. We propose to…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Hsuan-Kung Yang , An-Chieh Cheng , Kuan-Wei Ho , Tsu-Jui Fu , Chun-Yi Lee

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

Statistics Theory · Mathematics 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

This study analyzes 13,218 product reviews from JD.com, covering four categories: mobile phones, computers, cosmetics, and food. A novel method for feature label extraction is proposed by integrating dependency parsing and sentiment…

Computation and Language · Computer Science 2024-12-23 Jianfei Xu

Measuring conditional dependencies among the variables of a network is of great interest to many disciplines. This paper studies some shortcomings of the existing dependency measures in detecting direct causal influences or their lack of…

Machine Learning · Statistics 2017-06-05 Jalal Etesami , Kun Zhang , Negar Kiyavash

Discovering a correlation from one variable to another variable is of fundamental scientific and practical interest. While existing correlation measures are suitable for discovering average correlation, they fail to discover hidden or…

Machine Learning · Statistics 2017-11-22 Hyeji Kim , Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

In this paper, we study the task of detecting the edge dependency between two weighted random graphs. We formulate this task as a simple hypothesis testing problem, where under the null hypothesis, the two observed graphs are statistically…

Machine Learning · Computer Science 2024-09-25 Mor Oren , Vered Paslev , Wasim Huleihel

Curating labeled training data has become the primary bottleneck in machine learning. Recent frameworks address this bottleneck with generative models to synthesize labels at scale from weak supervision sources. The generative model's…

Machine Learning · Computer Science 2017-09-12 Stephen H. Bach , Bryan He , Alexander Ratner , Christopher Ré

Correlation matrix visualization is essential for understanding the relationships between variables in a dataset, but missing data can pose a significant challenge in estimating correlation coefficients. In this paper, we compare the…

Machine Learning · Computer Science 2023-09-06 Nhat-Hao Pham , Khanh-Linh Vo , Mai Anh Vu , Thu Nguyen , Michael A. Riegler , Pål Halvorsen , Binh T. Nguyen

In this paper we propose and study a class of simple, nonparametric, yet interpretable measures of conditional dependence between two random variables $Y$ and $Z$ given a third variable $X$, all taking values in general topological spaces.…

Methodology · Statistics 2022-09-20 Zhen Huang , Nabarun Deb , Bodhisattva Sen

Additive models play an essential role in studying non-linear relationships. Despite many recent advances in estimation, there is a lack of methods and theories for inference in high-dimensional additive models, including confidence…

Statistics Theory · Mathematics 2022-02-18 Zijian Guo , Wei Yuan , Cun-Hui Zhang

In this paper, we revisit the notion of partial copula, originally introduced to test conditional independence, highlighting its capability to represent the dependence between two random variables after removing their dependence with a…

Methodology · Statistics 2026-05-26 Vinícius Litvinoff Justus , Felipe Fontana Vieira

Medical image segmentation is one of the domains where sufficient annotated data is not available. This necessitates the application of low-data frameworks like few-shot learning. Contemporary prototype-based frameworks often do not account…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Siladittya Manna , Saumik Bhattacharya , Umapada Pal

Graphical structure learning is an effective way to assess and visualize cross-biomarker dependencies in biomedical settings. Standard approaches to estimating graphs rely on conditional independence tests that may not be sensitive to…

Methodology · Statistics 2024-11-28 Zain Khan , Daniel Malinsky , Martin Picard , Alan A. Cohen , Columbia SOH Group , Ying Wei

Purpose: High breast density is associated with reduced efficacy of mammographic screening and increased risk of developing breast cancer. Accurate and reliable automated density estimates can be used for direct risk prediction and passing…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Steven Squires , Elaine F. Harkness , D. Gareth Evans , Susan M. Astley
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