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We consider the problem of aligning a pair of databases with correlated entries. We introduce a new measure of correlation in a joint distribution that we call cycle mutual information. This measure has operational significance: it…

Information Theory · Computer Science 2018-05-11 Daniel Cullina , Prateek Mittal , Negar Kiyavash

Before new clinical measurement methods are implemented in clinical practice, it must be confirmed whether their results are equivalent to those of existing methods. The agreement of the trend between these methods is evaluated using the…

Methodology · Statistics 2021-03-01 Mayu Hiraishi , Kensuke Tanioka , Toshio Shimokawa

We propose a principled Bayesian method for quantifying tension between correlated datasets with wide uninformative parameter priors. This is achieved by extending the Suspiciousness statistic, which is insensitive to priors. Our method…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-08 Pablo Lemos , Fabian Köhlinger , Will Handley , Benjamin Joachimi , Lorne Whiteway , Ofer Lahav

Quantum discord is a measure of quantum correlations beyond the entanglement-separability paradigm. It is conceptualized by using the von Neumann entropy as a measure of disorder. We introduce a class of quantum correlation measures as…

Quantum Physics · Physics 2015-08-07 Avijit Misra , Anindya Biswas , Arun K. Pati , Aditi Sen De , Ujjwal Sen

The continuous progress toward more precise cosmological surveys and experiments has galvanized recent interest into consistency tests on cosmological parameters and models. At the heart of this effort is quantifying the degree of…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-30 Weikang Lin , Mustapha Ishak

Ensuring fairness in AI systems is critical, especially in high-stakes domains such as lending, hiring, and healthcare. This urgency is reflected in emerging global regulations that mandate fairness assessments and independent bias audits.…

Machine Learning · Computer Science 2025-08-19 Varsha Ramineni , Hossein A. Rahmani , Emine Yilmaz , David Barber

Data integration is a notoriously difficult and heuristic-driven process, especially when ground-truth data are not readily available. This paper presents a measure of uncertainty by providing maximal and minimal ranges of a query outcome…

Databases · Computer Science 2023-09-12 Deniz Turkcapar , Sanjay Krishnan

Quantum discord is a measure of the quantumness of correlations. After reviewing its different versions and properties, we apply it to the questions of quantum information processing. First we show that changes in discord in the processed…

Quantum Physics · Physics 2015-03-17 Aharon Brodutch , Alexei Gilchrist , Daniel R. Terno , Christopher J. Wood

A method is discussed that allows combining sets of differential or inclusive measurements. It is assumed that at least one measurement was obtained with simultaneously fitting a set of nuisance parameters, representing sources of…

Data Analysis, Statistics and Probability · Physics 2018-01-09 Jan Kieseler

In Model-Based Design of Cyber-Physical Systems (CPS), it is often desirable to develop several models of varying fidelity. Models of different fidelity levels can enable mathematical analysis of the model, control synthesis, faster…

Systems and Control · Computer Science 2014-06-03 Houssam Abbas , Bardh Hoxha , Georgios Fainekos , Jyotirmoy V. Deshmukh , James Kapinski , Koichi Ueda

This position paper argues that the theoretical inconsistency often observed among Responsible AI (RAI) metrics, such as differing fairness definitions or tradeoffs between accuracy and privacy, should be embraced as a valuable feature…

Artificial Intelligence · Computer Science 2025-10-31 Gordon Dai , Yunze Xiao

A key challenge in employing data, algorithms and data-driven systems is to adhere to the principle of fairness and justice. Statistical fairness measures belong to an important category of technical/formal mechanisms for detecting fairness…

Machine Learning · Computer Science 2026-01-28 Mortaza S. Bargh , Sunil Choenni , Floris ter Braak

The concept of matching dependencies (mds) is recently pro- posed for specifying matching rules for object identification. Similar to the functional dependencies (with conditions), mds can also be applied to various data quality…

Databases · Computer Science 2009-06-13 Shaoxu Song , Lei Chen

In the advent of big data and machine learning, researchers now have a wealth of congressional candidate ideal point estimates at their disposal for theory testing. Weak relationships raise questions about the extent to which they capture a…

Applications · Statistics 2026-01-09 Mellissa Meisels , Melody Huang , Tiffany M. Tang

Integrating datasets from different disciplines is hard because the data are often qualitatively different in meaning, scale, and reliability. When two datasets describe the same entities, many scientific questions can be phrased around…

We propose a measure of macroscopic coherence based on the degree of disturbance caused by a coarse-grained measurement. Based on our measure, we point out that recently proposed criteria of macroscopic coherence may lead to inconsistent…

Quantum Physics · Physics 2017-05-09 Hyukjoon Kwon , Chae-Yeun Park , Kok Chuan Tan , Hyunseok Jeong

Conformance checking is a set of process mining functions that compare process instances with a given process model. It identifies deviations between the process instances' actual behaviour ("as-is") and its modelled behaviour ("to-be").…

Software Engineering · Computer Science 2020-07-22 Sebastian Dunzer , Matthias Stierle , Martin Matzner , Stephan Baier

The notion of concept drift refers to the phenomenon that the distribution, which is underlying the observed data, changes over time; as a consequence machine learning models may become inaccurate and need adjustment. Many unsupervised…

Machine Learning · Computer Science 2022-02-22 Fabian Hinder , Valerie Vaquet , Barbara Hammer

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…

Machine Learning · Computer Science 2025-05-06 Muhammad Rajabinasab , Anton D. Lautrup , Arthur Zimek

How can we assess the reliability of a dataset without access to ground truth? We introduce the problem of reliability scoring for datasets collected from potentially strategic sources. The true data are unobserved, but we see outcomes of…

Machine Learning · Computer Science 2025-10-21 Yiling Chen , Shi Feng , Paul Kattuman , Fang-Yi Yu