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This work introduces a complexity measure which addresses some conflicting issues between existing ones by using a new principle - measuring the average amount of symmetry broken by an object. It attributes low (although different)…

Statistical Mechanics · Physics 2015-03-26 Roberto C. Alamino

I develop a methodology to partially identify linear combinations of conditional mean outcomes when the researcher only has access to aggregate data. Unlike the existing literature, I only allow for marginal, not joint, distributions of…

Econometrics · Economics 2025-12-04 Sarah Moon

Agreement measures are useful to both compare different evaluations of the same diagnostic outcomes and validate new rating systems or devices. Information Agreement (IA) is an information-theoretic-based agreement measure introduced to…

Information Theory · Computer Science 2020-08-27 Alberto Casagrande , Francesco Fabris , Rossano Girometti

The uncertainty or the variability of the data may be treated by considering, rather than a single value for each data, the interval of values in which it may fall. This paper studies the derivation of basic description statistics for…

Computation · Statistics 2008-12-18 Marie Chavent , Jérôme Saracco

Failures with different root causes can disturb multi-fault localization significantly, therefore, dividing failures into distinct groups according to the responsible faults is highly important. In such a failure indexing task, the crux…

Software Engineering · Computer Science 2023-02-03 Yi Song , Xihao Zhang , Xiaoyuan Xie , Quanming Liu , Ruizhi Gao , Chenliang Xing

The Improved Partial Area-Analytical Calculation (IPA-AC) method represents a leading meshfree discretization strategy for peridynamic models, distinguished by its rigorous geometric treatment of boundary intersections via dual corrections…

Numerical Analysis · Mathematics 2026-03-20 Xiuzhu Yang , Xiaobo Yin

Being a pair of dual concepts, the normalized distance and similarity measures are very important tools for decision-making and pattern recognition under intuitionistic fuzzy sets framework. To be more effective for decision-making and…

General Mathematics · Mathematics 2023-02-07 Xinxing Wu , Zhiyi Zhu , Guanrong Chen , Tao Wang , Peide Liu

Distributional (or distribution-valued) data are a new type of data arising from several sources and are considered as realizations of distributional variables. A new set of fuzzy c-means algorithms for data described by distributional…

Machine Learning · Statistics 2016-05-03 Antonio Irpino , Francisco De Carvalho , Rosanna Verde

In this paper we first provide a method to compute confidence intervals for the center of a piecewise normal distribution given a sample from this distribution, under certain assumptions. We then extend this method to an asymptotic setting,…

Optimization and Control · Mathematics 2022-08-08 Shu Lu , Hongsheng Liu

In order to address the increasing compromise of user privacy on mobile devices, a Fuzzy Logic based implicit authentication scheme is proposed in this paper. The proposed scheme computes an aggregate score based on selected features and a…

Cryptography and Security · Computer Science 2016-11-11 Feng Yao , Suleiman Y. Yerima , BooJoong Kang , Sakir Sezer

This paper exemplifies the implementation of an efficient Information Retrieval (IR) System to compute the similarity between a dataset and a query using Fuzzy Logic. TREC dataset has been used for the same purpose. The dataset is parsed to…

Information Retrieval · Computer Science 2015-05-15 Prabhjot Singh , Sumit Dhawan , Shubham Agarwal , Narina Thakur

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…

Applications · Statistics 2016-01-25 Gergely Tibély , Péter Pollner , Gergely Palla

In this paper one presents new similarity, cardinality and entropy measures for bipolar fuzzy set and for its particular forms like intuitionistic, paraconsistent and fuzzy set. All these are constructed in the framework of multi-valued…

Artificial Intelligence · Computer Science 2015-06-09 Vasile Patrascu

A novel non-parametric estimator of the correlation between grouped measurements of a quantity is proposed in the presence of noise. This work is primarily motivated by functional brain network construction from fMRI data, where brain…

Methodology · Statistics 2023-02-16 Hanâ Lbath , Alexander Petersen , Wendy Meiring , Sophie Achard

A common problem in numerous research areas, particularly in clinical trials, is to test whether the effect of an explanatory variable on an outcome variable is equivalent across different groups. In practice, these tests are frequently…

Methodology · Statistics 2024-05-03 Niklas Hagemann , Kathrin Möllenhoff

The coefficient of variation is a useful indicator for comparing the spread of values between dataset with different units or widely different means. In this paper we address the problem of investigating the equality of the coefficients of…

Methodology · Statistics 2023-06-06 Francesco Bertolino , Silvia Columbu , Mara Manca , Monica Musio

Similarity functions measure how comparable pairs of elements are, and play a key role in a wide variety of applications, e.g., notions of Individual Fairness abiding by the seminal paradigm of Dwork et al., as well as Clustering problems.…

Machine Learning · Computer Science 2023-10-24 Leonidas Tsepenekas , Ivan Brugere , Freddy Lecue , Daniele Magazzeni

This paper shows that how to approximate general fuzzy number by using convolution method.

General Mathematics · Mathematics 2014-08-11 Huan Huang

The analysis of redshift surveys with fractal tools requires one to apply some form of statistical correction for galaxies lying near the geometric boundary of the sample. In this paper we compare three different methods of performing such…

Astrophysics · Physics 2009-11-07 Jun Pan , Peter Coles

We construct and analyze an estimator of association between random variables based on their similarity in both direction and magnitude. Under special conditions, the proposed measure becomes a robust and consistent estimator of the linear…

Econometrics · Economics 2026-01-21 Ilya Archakov