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Statisticians increasingly face the problem to reconsider the adaptability of classical inference techniques. In particular, divers types of high-dimensional data structures are observed in various research areas; disclosing the boundaries…

统计理论 · 数学 2017-06-09 Paavo Sattler , Markus Pauly

Determining the strength of non-linear statistical dependencies between two variables is a crucial matter in many research fields. The established measure for quantifying such relations is the mutual information. However, estimating mutual…

数据分析、统计与概率 · 物理学 2019-07-24 Damián G. Hernández , Inés Samengo

Measures of discordance between datasets have become an essential part of cosmological analyses. It is important to accurately evaluate the significance of such discordances when present. We propose here a Bayesian interpretation of…

宇宙学与河外天体物理 · 物理学 2021-05-12 Weikang Lin , Mustapha Ishak

Observational studies of treatment effects require adjustment for confounding variables. However, causal inference methods typically cannot deliver perfect adjustment on all measured baseline variables, and there is often ambiguity about…

统计方法学 · 统计学 2024-02-16 Lauren D. Liao , Yeyi Zhu , Amanda L. Ngo , Rana F. Chehab , Samuel D. Pimentel

Missing data is a common issue in many biomedical studies. Under a paired design, some subjects may have missing values in either one or both of the conditions due to loss of follow-up, insufficient biological samples, etc. Such partially…

We study a model where one target variable Y is correlated with a vector X:=(X_1,...,X_d) of predictor variables being potential causes of Y. We describe a method that infers to what extent the statistical dependences between X and Y are…

机器学习 · 统计学 2017-10-11 Dominik Janzing , Bernhard Schoelkopf

Comparing $K$-sample distributions is a fundamental problem in data science that arises in a wide variety of fields and applications. In this article, we introduce a maximum-of-differences approach to make such comparisons. Specifically, we…

统计方法学 · 统计学 2026-04-13 Wei Lan , Long Feng , Runze Li , Chih-Ling Tsai

In observational causal inference, in order to emulate a randomized experiment, weights are used to render treatments independent of observed covariates. This property is known as balance; in its absence, estimated causal effects may be…

统计方法学 · 统计学 2020-07-16 David Arbour , Drew Dimmery , Arjun Sondhi

We investigate the problem of inconsistency measurement on large knowledge bases by considering stream-based inconsistency measurement, i.e., we investigate inconsistency measures that cannot consider a knowledge base as a whole but process…

人工智能 · 计算机科学 2015-05-21 Matthias Thimm

Classical change point analysis aims at (1) detecting abrupt changes in the mean of a possibly non-stationary time series and at (2) identifying regions where the mean exhibits a piecewise constant behavior. In many applications however, it…

统计理论 · 数学 2020-02-17 Axel Bücher , Holger Dette , Florian Heinrichs

We consider probability measures on $A^N$, the set of sequences of symbols on a finite alphabet $A$ of length $N$, that give a weight to each sequence in terms of a collection of matrices with non-negative entries and having rows and…

概率论 · 数学 2026-01-21 Davide Gabrielli , Federica Iacovissi

Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report…

In this paper, the concept of the classical $f$-divergence (for a pair of measures) is extended to the mixed $f$-divergence (for multiple pairs of measures). The mixed $f$-divergence provides a way to measure the difference between multiple…

信息论 · 计算机科学 2013-04-26 Elisabeth M. Werner , Deping Ye

In this work, we perform a series of phonon counting measurement with different methods in a 3-mode optomechanical system, and we compare the difference of the entanglement after measurement. In this article we focus on the two cases:…

量子物理 · 物理学 2017-10-03 Zhe Li

Response calibration is the process of inferring how much the measured data depend on the signal one is interested in. It is essential for any quantitative signal estimation on the basis of the data. Here, we investigate self-calibration…

天体物理仪器与方法 · 物理学 2015-06-18 Torsten A. Enßlin , Henrik Junklewitz , Lars Winderling , Maksim Greiner , Marco Selig

Anomaly detection methods have demonstrated remarkable success across various applications. However, assessing their performance, particularly at the pixel-level, presents a complex challenge due to the severe imbalance that is most…

计算机视觉与模式识别 · 计算机科学 2023-10-26 Mehdi Rafiei , Toby P. Breckon , Alexandros Iosifidis

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

统计方法学 · 统计学 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

Bell's inequality was originally derived under the assumption that experimenters are free to select detector settings independently of any local "hidden variables" that might affect the outcomes of measurements on entangled particles. This…

Contrast set consistency is a robustness measurement that evaluates the rate at which a model correctly responds to all instances in a bundle of minimally different examples relying on the same knowledge. To draw additional insights, we…

计算与语言 · 计算机科学 2023-10-24 Jacob K. Johnson , Ana Marasović

Objective: This paper investigates the potential of ensemble learning for variants of adjustment methods used in analogy-based effort estimation. The number k of analogies to be used is also investigated. Method We perform a large scale…

软件工程 · 计算机科学 2017-03-20 Mohammad Azzeh , Ali Bou Nassif , Leandro L Minku