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We propose a new measure of deviations from expected utility theory. For any positive number~$e$, we give a characterization of the datasets with a rationalization that is within~$e$ (in beliefs, utility, or perceived prices) of expected…

综合经济学 · 经济学 2021-02-15 Federico Echenique , Kota Saito , Taisuke Imai

A well-known metric for quantifying the similarity between two clusterings is the adjusted mutual information. Compared to mutual information, a corrective term based on random permutations of the labels is introduced, preventing two…

机器学习 · 计算机科学 2021-03-24 Denys Lazarenko , Thomas Bonald

Quantifying how distinguishable two stochastic processes are lies at the heart of many fields, such as machine learning and quantitative finance. While several measures have been proposed for this task, none have universal applicability and…

统计力学 · 物理学 2020-07-01 Chengran Yang , Felix C. Binder , Mile Gu , Thomas J. Elliott

Numerical association rule mining is a widely used variant of the association rule mining technique, and it has been extensively used in discovering patterns and relationships in numerical data. Initially, researchers and scientists…

机器学习 · 计算机科学 2023-07-04 Minakshi Kaushik , Rahul Sharma , Iztok Fister , Dirk Draheim

Measuring inter-dataset similarity is an important task in machine learning and data mining with various use cases and applications. Existing methods for measuring inter-dataset similarity are computationally expensive, limited, or…

机器学习 · 计算机科学 2025-05-06 Muhammad Rajabinasab , Anton D. Lautrup , Arthur Zimek

We propose a standardized version of fairness measures for continuous scores with a reasonable interpretation based on the Wasserstein distance. Our measures are easily computable and well suited for quantifying and interpreting the…

机器学习 · 统计学 2024-08-30 Ann-Kristin Becker , Oana Dumitrasc , Klaus Broelemann

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual…

机器学习 · 计算机科学 2012-07-02 Harald Steck

We discuss why regular observables can not be proper entanglement measures, and how observables in a generalized setting can be used to make an entanglement monotone a directly observable quantity for the case of pure states. For the case…

量子物理 · 物理学 2009-11-13 Florian Mintert

In evaluation campaigns, participants often explore variations of popular, state-of-the-art baselines as a low-risk strategy to achieve competitive results. While effective, this can lead to local "hill climbing" rather than more radical…

信息检索 · 计算机科学 2023-01-31 Mehmet Deniz Türkmen , Matthew Lease , Mucahid Kutlu

Comparing the ranking of candidates by different voters is an important topic in social and information science with a high relevance from the point of view of practical applications. In general, ties and pairs of incomparable candidates…

应用统计 · 统计学 2016-01-25 Gergely Tibély , Péter Pollner , Gergely Palla

Fairness is an emerging and challenging topic in recommender systems. In recent years, various ways of evaluating and therefore improving fairness have emerged. In this study, we examine existing evaluation measures of fairness in…

信息检索 · 计算机科学 2024-05-21 Theresia Veronika Rampisela , Maria Maistro , Tuukka Ruotsalo , Christina Lioma

The paper deals with measures of nonlinearity. In state estimation, they are utilized i) to select a suitable state estimation algorithm by assessing the nonlinearity of a system model, ii) to adapt the estimation algorithm structure or…

系统与控制 · 电气工程与系统科学 2024-12-10 Ondřej Straka , Jindřich Havlík

Graph drawings are commonly used to visualize relational data. User understanding and performance are linked to the quality of such drawings, which is measured by quality metrics. The tacit knowledge in the graph drawing community about…

计算几何 · 计算机科学 2025-08-22 Simon van Wageningen , Tamara Mchedlidze , Alexandru C. Telea

When studying convergence of measures, an important issue is the choice of probability metric. In this review, we provide a summary and some new results concerning bounds among ten important probability metrics/distances that are used by…

概率论 · 数学 2007-05-23 Alison L. Gibbs , Francis Edward Su

Ranked lists are frequently used by information retrieval (IR) systems to present results believed to be relevant to the users information need. Fairness is a relatively new but important aspect of these rankings to measure, joining a rich…

信息检索 · 计算机科学 2022-01-11 Amifa Raj , Michael D. Ekstrand

Interpreting experimental data in high school experiments can be a difficult task for students, especially when there is large variation in the data. At the same time, calculating the standard deviation poses a challenge for students. In…

物理教育 · 物理学 2022-10-18 Karel Kok , Burkhard Priemer

Meta-analysis aims to combine effect measures from several studies. For continuous outcomes, the most popular effect measures use simple or standardized differences in sample means. However, a number of applications focus on the absolute…

统计方法学 · 统计学 2023-10-03 Elena Kulinskaya , David C. Hoaglin

In this paper, the defining properties of a valid measure of the dependence between two random variables are reviewed and complemented with two original ones, shown to be more fundamental than other usual postulates. While other popular…

统计方法学 · 统计学 2019-12-03 Gery Geenens , Pierre Lafaye de Micheaux

The investor is interested in the expected return and he is also concerned about the risk and the uncertainty assumed by the investment. One of the most popular concepts used to measure the risk and the uncertainty is the variance and/or…

统计金融 · 定量金融 2008-12-02 Andreia Dionisio , Rui Menezes , Diana A. Mendes

Any collection can be ranked. Sports and games are common examples of ranked systems: players and teams are constantly ranked using different methods. The statistical properties of rankings have been studied for almost a century in a…

社会与信息网络 · 计算机科学 2026-02-04 José Antonio Morales , Jorge Flores , Carlos Gershenson , Carlos Pineda