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A pair of quantum observables diagonal in the same "incoherent" basis can be measured jointly, so some coherence is obviously required for measurement incompatibility. Here we first observe that coherence in a single observable is linked to…

Quantum Physics · Physics 2022-01-11 Jukka Kiukas , Daniel McNulty , Juha-Pekka Pellonpää

There are many striking phenomena which are attributed to ``quantum coherence''. It is natural to wonder if there are new quantum coherence effects waiting to be discovered which could lead to interesting results and perhaps even practical…

High Energy Physics - Theory · Physics 2009-10-28 Andreas Albrecht

Stemming from de Finetti's work on finitely additive coherent probabilities, the paradigm of coherence has been applied to many uncertainty calculi in order to remove structural restrictions on the domain of the assessment. Three possible…

Probability · Mathematics 2021-06-30 Davide Petturiti , Barbara Vantaggi

We prove a coherence theorem for invertible objects in a symmetric monoidal category. This is used to deduce associativity, skew-commutativity, and related results for multi-graded morphism rings, generalizing the well-known versions for…

Category Theory · Mathematics 2014-10-01 Daniel Dugger

Consistency properties of concurrent computations, e.g., sequential consistency, linearizability, or eventual consistency, are essential for devising correct concurrent algorithms. In this paper, we present a logical formalization of such…

Logic in Computer Science · Computer Science 2013-05-13 Klaus v. Gleissenthall , Andrey Rybalchenko

In this paper we introduce filtration pairs for isolated invariant sets of continuous maps. We prove the existence of filtration pairs and show that, up to shift equivalence, the induced map on the corresponding pointed space is an…

Dynamical Systems · Mathematics 2007-05-23 John Franks , David Richeson

In scientific inference problems, the underlying statistical modeling assumptions have a crucial impact on the end results. There exist, however, only a few automatic means for validating these fundamental modelling assumptions. The…

Methodology · Statistics 2019-05-21 Andreas Svensson , Dave Zachariah , Petre Stoica , Thomas B. Schön

Standard methods, standard test conditions and the use of good sensory practices are key elements of sensory testing. However, while compliance assessment by trained and expert assessors is well developed, few information is available on…

Applications · Statistics 2025-02-07 László Sipos , Kolos Csaba Ágoston , Péter Biró , Sándor Bozóki , László Csató

We present pairwise fairness metrics for ranking models and regression models that form analogues of statistical fairness notions such as equal opportunity, equal accuracy, and statistical parity. Our pairwise formulation supports both…

Machine Learning · Computer Science 2020-01-08 Harikrishna Narasimhan , Andrew Cotter , Maya Gupta , Serena Wang

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…

Artificial Intelligence · Computer Science 2015-05-21 Matthias Thimm

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…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-12 Weikang Lin , Mustapha Ishak

The article continues the study of the 'regular' arrangement of a collection of sets near a point in their intersection. Such regular intersection or, in other words, transversality properties are crucial for the validity of qualification…

Optimization and Control · Mathematics 2018-05-15 Alexander Y. Kruger

Measuring interdisciplinarity is a pertinent but challenging issue in quantitative studies of science. There seems to be a consensus in the literature that the concept of interdisciplinarity is multifaceted and ambiguous. Unsurprisingly,…

Digital Libraries · Computer Science 2019-12-11 Qi Wang , Jesper Wiborg Schneider

The fundamental principles of complementarity and uncertainty are shown to be related to the possibility of joint unsharp measurements of pairs of noncommuting quantum observables. A new joint measurement scheme for complementary…

Quantum Physics · Physics 2009-11-07 P. Busch , C. R. Shilladay

Measuring inconsistency is viewed as an important issue related to handling inconsistencies. Good measures are supposed to satisfy a set of rational properties. However, defining sound properties is sometimes problematic. In this paper, we…

Artificial Intelligence · Computer Science 2014-06-03 Said Jabbour , Yue Ma , Badran Raddaoui , Lakhdar Sais , Yakoub Salhi

Ranking individuals based on their performance in different coalitions is a problem emerging in various domains (teams sports, scientific evaluation, argumentation, etc.). Often, for practical reasons, the number of comparable coalitions is…

Theoretical Economics · Economics 2026-03-19 Takahiro Suzuki , Michele Aleandri , Stefano Moretti

The aim of this article is to generalize logics of formal inconsistency ($\textbf{LFI}$s) to systems dealing with the concept of incompatibility, expressed by means of a binary connective. The basic idea is that having two incompatible…

Logic · Mathematics 2022-02-23 Marcelo Esteban Coniglio , Guilherme Vicentin de Toledo

Introduction to the theory of decoherence. Contents: 1. The phenomenon of decoherence: superpositions, superselection rules, decoherence by "measurements". 2. Observables as a derivable concept. 3. The measurement problem. 4. Density…

Quantum Physics · Physics 2008-02-03 H. D. Zeh

This paper surveys some recent developments in measures of association related to a new coefficient of correlation introduced by the author. A straightforward extension of this coefficient to standard Borel spaces (which includes all Polish…

Methodology · Statistics 2023-08-11 Sourav Chatterjee

It is shown that under certain circumstances in particular for small datasets the recently proposed citation impact indicators I3(6PR) and R(6,k) behave inconsistently when additional papers or citations are taken into consideration. Three…

Applications · Statistics 2013-01-31 Michael Schreiber
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