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This paper develops an intuitive concept of perfect dependence between two variables of which at least one has a nominal scale. Perfect dependence is attainable for all marginal distributions. It furthermore proposes a set of dependence…

Methodology · Statistics 2026-02-05 Jan-Lukas Wermuth

In this paper, we study numerical approximations of the ground states in finite temperature density functional theory. We formulate the problem with respect to the density matrices and justify the convergence of the finite dimensional…

Numerical Analysis · Mathematics 2024-05-14 Ge Xu , Huajie Chen , Xingyu Gao

Functional Differential Equations (FDEs) play a fundamental role in many areas of mathematical physics, including fluid dynamics (Hopf characteristic functional equation), quantum field theory (Schwinger-Dyson equation), and statistical…

Numerical Analysis · Mathematics 2024-03-11 Abram Rodgers , Daniele Venturi

Predicting the collaboration likelihood and measuring cognitive trust to AI systems is more important than ever. To do that, previous research mostly focus solely on the model features (e.g., accuracy, confidence) and ignore the human…

Artificial Intelligence · Computer Science 2024-01-19 Müge Kural , Ali Gebeşçe , Tilek Chubakov , Gözde Gül Şahin

Differential logical relations are methods to measure distances between higher-order programs where distances between functional programs are themselves \emph{functions}, relating errors in inputs with errors in outputs. This way,…

Logic in Computer Science · Computer Science 2026-03-03 Ugo Dal Lago , Naohiko Hoshino , Paolo Pistone

Distance-based regression model, as a nonparametric multivariate method, has been widely used to detect the association between variations in a distance or dissimilarity matrix for outcomes and predictor variables of interest in genetic…

Statistics Theory · Mathematics 2022-03-14 Yuke Shi , Wei Zhang , Aiyi Liu , Qizhai Li

Fatigue data arise in many research and applied areas and there have been statistical methods developed to model and analyze such data. The distributions of fatigue life and fatigue strength are often of interest to engineers designing…

Methodology · Statistics 2024-03-20 Peng Liu , Yili Hong , Luis A. Escobar , William Q. Meeker

The simplicity of a question such as wondering if correlations characterize or not a certain system collides with the experimental difficulty of accessing such information. Here we present a low demanding experimental approach which refers…

Several application domains require formal but flexible approaches to the comparison problem. Different process models that cannot be related by behavioral equivalences should be compared via a quantitative notion of similarity, which is…

Logic in Computer Science · Computer Science 2010-06-29 Alessandro Aldini

We discuss the construction of component importance measures for binary coherent reliability systems from known stochastic dependence measures by measuring the dependence between system and component failures. We treat both the…

Applications · Statistics 2017-10-16 Mario Hellmich

At the present time reliably established that probability density functions of gene expression of microarray experiments possess a number of universal properties. First of all these distributions have power asymptotic and secondly the shape…

Statistics Theory · Mathematics 2015-06-08 Viacheslav Saenko , Yurij Saenko

Off-diagonal hypervirial relationships, combined with quantum mechanical sum rules of charge-current conservation, offer a way for testing electronic excited-state transition energies and moments, which does not need any external reference.…

Chemical Physics · Physics 2021-02-16 Francesco Ferdinando Summa , Guglielmo Monaco , Riccardo Zanasi , Paolo Lazzeretti

Functional principal components (FPC's) provide the most important and most extensively used tool for dimension reduction and inference for functional data. The selection of the number, d, of the FPC's to be used in a specific procedure has…

Statistics Theory · Mathematics 2013-02-26 Stefan Fremdt , Lajos Horváth , Piotr Kokoszka , Josef G. Steinebach

Measuring similarity is a basic task in information retrieval, and now often a building-block for more complex arguments about cultural change. But do measures of textual similarity and distance really correspond to evidence about cultural…

Computation and Language · Computer Science 2018-07-03 Ted Underwood

Estimators based on influence functions (IFs) have been shown to be effective in many settings, especially when combined with machine learning techniques. By focusing on estimating a specific target of interest (e.g., the average effect of…

Methodology · Statistics 2019-10-29 Aaron Fisher , Edward H. Kennedy

A goodness-of-fit test for the fitting of a parametric model to data obtained from a detector with finite resolution and limited acceptance is proposed. The parameters of the model are found by minimization of a statistic that is used for…

Data Analysis, Statistics and Probability · Physics 2015-03-17 N. D. Gagunashvili

This paper studies the semi-supervised novelty detection problem where a set of "typical" measurements is available to the researcher. Motivated by recent advances in multiple testing and conformal inference, we propose AdaDetect, a…

Methodology · Statistics 2023-10-26 Ariane Marandon , Lihua Lei , David Mary , Etienne Roquain

This paper compares two different frameworks recently introduced in the literature for measuring risk in a multi-period setting. The first corresponds to applying a single coherent risk measure to the cumulative future costs, while the…

Risk Management · Quantitative Finance 2015-03-19 Dan A. Iancu , Marek Petrik , Dharmashankar Subramanian

Anomaly detection in tabular data is challenging due to high dimensionality, complex feature dependencies, and heterogeneous noise. Many existing methods rely on proximity-based cues and may miss anomalies caused by violations of complex…

Machine Learning · Computer Science 2026-04-23 Sha Lu , Jixue Liu , Stefan Peters , Thuc Duy Le , Craig Xie , Lin Liu , Jiuyong Li

Functional dependencies are an integral part of database design. However, they are only defined when we exclude null markers. Yet we commonly use null markers in practice. To bridge this gap between theory and practice, researchers have…

Databases · Computer Science 2015-05-18 Antonio Badia , Daniel Lemire