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Evidences of a discrete symmetry behind the pattern of lepton mixing are analyzed. The program of "symmetry building" is outlined. Generic features and problems of realization of this program in consistent gauge models are formulated. The…

High Energy Physics - Phenomenology · Physics 2015-05-27 Alexei Yu Smirnov

This study presents an abelian group approach to analyzing inconsistency in pairwise comparisons. However, it wrongly assumes that an inconsistency indicator can take values in any abelian linearly ordered group. The followup publication…

Discrete Mathematics · Computer Science 2017-12-27 W. W. Koczkodaj , J. Szybowski , E. Wajch

Errors might not have the same consequences depending on the task at hand. Nevertheless, there is limited research investigating the impact of imbalance in the contribution of different features in an error vector. Therefore, we propose the…

Machine Learning · Computer Science 2022-07-12 Xavier F. Cadet , Sara Ahmadi-Abhari , Hamed Haddadi

Pairwise comparisons between alternatives are a well-established tool to decompose decision problems into smaller and more easily tractable sub-problems. However, due to our limited rationality, the subjective preferences expressed by…

Artificial Intelligence · Computer Science 2016-03-15 Matteo Brunelli

Learning effective joint embedding for cross-modal data has always been a focus in the field of multimodal machine learning. We argue that during multimodal fusion, the generated multimodal embedding may be redundant, and the discriminative…

Machine Learning · Computer Science 2022-12-06 Sijie Mai , Ying Zeng , Haifeng Hu

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

For data sets with similar features, for example highly correlated features, most existing stability measures behave in an undesired way: They consider features that are almost identical but have different identifiers as different features.…

Machine Learning · Statistics 2021-01-18 Andrea Bommert , Jörg Rahnenführer

A key element of any machine learning algorithm is the use of a function that measures the dis/similarity between data points. Given a task, such a function can be optimized with a metric learning algorithm. Although this research field has…

Machine Learning · Statistics 2019-09-05 Léo Gautheron , Emilie Morvant , Amaury Habrard , Marc Sebban

While Indices, Index tracking funds and ETFs have grown in popularity during then last ten years, there are many structural problems inherent in Index calculation methodologies and the legal/economic structure of ETFs. These problems raise…

General Finance · Quantitative Finance 2020-05-05 Michael C. Nwogugu

In the framework of mutually unbiased bases (MUBs), a measurement in one basis gives \emph{no information} about the outcomes of measurements in another basis. Here, we relax the no-information condition by allowing the $d$ outcomes to be…

Quantum Physics · Physics 2025-12-18 Seyed Javad Akhtarshenas , Saman Karimi , Mahdi Salehi

Comparing alternatives in pairs is a well-known method of ranking creation. Experts are asked to perform a series of binary comparisons and then, using mathematical methods, the final ranking is prepared. As experts conduct the individual…

Discrete Mathematics · Computer Science 2018-12-12 Konrad Kułakowski

In a landmark paper, Abadie and Imbens (2008) showed that the naive bootstrap is inconsistent when applied to nearest neighbor matching estimators of the average treatment effect with a fixed number of matches. Since then, this finding has…

Statistics Theory · Mathematics 2024-11-21 Ziming Lin , Fang Han

We are interested in Sobolev type inequalities and their relationship with concentration properties on higher dimensions. We consider unbounded spin systems on the d-dimensional lattice with interactions that increase slower than a…

Probability · Mathematics 2019-07-05 Ioannis Papageorgiou

This paper proposes an analysis of the effects of consensus and preference aggregation on the consistency of pairwise comparisons. We define some boundary properties for the inconsistency of group preferences and investigate their relation…

Artificial Intelligence · Computer Science 2016-04-06 Matteo Brunelli , Michele Fedrizzi

Pairwise comparisons are a well-known method for the representation of the subjective preferences of a decision maker. Evaluating their inconsistency has been a widely studied and discussed topic and several indices have been proposed in…

Artificial Intelligence · Computer Science 2014-12-25 Matteo Brunelli , Michele Fedrizzi

Physical models for the hemispherical power asymmetry in the cosmic microwave background (CMB) reported by the Planck Collaboration must satisfy CMB constraints to the homogeneity of the Universe and quasar constraints to power asymmetries.…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-26 Liang Dai , Donghui Jeong , Marc Kamionkowski , Jens Chluba

For linear models with a diverging number of parameters, it has recently been shown that modified versions of Bayesian information criterion (BIC) can identify the true model consistently. However, in many cases there is little…

Methodology · Statistics 2011-07-26 Heng Lian

We study a class of strongly irreducible, multidimensional, topological Markov shifts, comparing two notions of "symmetric measure": exchangeability and the Gibbs (or conformal) property. We show that equilibrium measures for such shifts…

Probability · Mathematics 2010-06-01 Jon. Aaronson , Hitoshi Nakada

Simultaneous estimation of multiple parameters in quantum metrological models is complicated by factors relating to the (i) existence of a single probe state allowing for optimal sensitivity for all parameters of interest, (ii) existence of…

Quantum Physics · Physics 2019-02-01 Sammy Ragy , Marcin Jarzyna , Rafal Demkowicz-Dobrzanski

Many major works in social science employ matching to make causal conclusions, but different matches on the same data may produce different treatment effect estimates, even when they achieve similar balance or minimize the same loss…

Applications · Statistics 2023-03-23 Marco Morucci , Cynthia Rudin
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