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In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

Deep metric learning aims to learn an embedding space, where semantically similar samples are close together and dissimilar ones are repelled against. To explore more hard and informative training signals for augmentation and…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Zheren Fu , Zhendong Mao , Bo Hu , An-An Liu , Yongdong Zhang

Our goal is to evaluate the accuracy of a black-box classification model, not as a single aggregate on a given test data distribution, but as a surface over a large number of combinations of attributes characterizing multiple test data…

Machine Learning · Computer Science 2021-10-27 Vihari Piratla , Soumen Chakrabarty , Sunita Sarawagi

In this paper we address the problem of fuzzy measures index calculation. On the basis of fuzzy sets, Murofushi and Soneda proposed an interaction index to deal with the relations between two individuals. This index was later extended in a…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Javier Castro , Daniel Gómez , Rosa Espínola

In several research areas, ratings data and response times have been successfully used to unfold the stage-wise process through which human raters provide their responses to questionnaires and social surveys. A limitation of the standard…

Applications · Statistics 2022-03-24 Niccolò Cao , Antonio Calcagnì

This study is inspired by those of Huang et al. (Soft Comput. 25, 2513--2520, 2021) and Wang et al. (Inf. Sci. 179, 3026--3040, 2009) in which some ranking techniques for interval-valued intuitionistic fuzzy numbers (IVIFNs) were…

Artificial Intelligence · Computer Science 2021-12-07 Xinxing Wu , Chaoyue Tan , Gul Deniz Cayli , Peide Liu

We present a model to measure the similarity in appearance between different materials, which correlates with human similarity judgments. We first create a database of 9,000 rendered images depicting objects with varying materials, shape…

Graphics · Computer Science 2020-03-18 Manuel Lagunas , Sandra Malpica , Ana Serrano , Elena Garces , Diego Gutierrez , Belen Masia

The Jaccard similarity index has often been employed in science and technology as a means to quantify the similarity between two sets. When modified to operate on real-valued values, the Jaccard similarity index can be applied to compare…

Data Analysis, Statistics and Probability · Physics 2024-10-23 Gonzalo Travieso , Alexandre Benatti , Luciano da F. Costa

In this paper the major objective is to design and analyze the suitability of Gaussian similarity measure for intrusion detection. The objective is to use this as a distance measure to find the distance between any two data samples of…

Cryptography and Security · Computer Science 2016-04-27 Gunupudi Rajesh Kumar , N Mangathayaru , G Narsimha

Fuzzy measures, also referred to as nonadditive measures, emerge from the foundational concept of additive measures by transforming additivity into monotonicity. In comparison to the expansive $2^n$ coefficients of fuzzy measures, additive…

General Mathematics · Mathematics 2023-09-28 Jian-Zhang Wu , Gleb Beliakov

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

The analysis of remote discussions is not yet at the same level as the face-to-face ones. The present paper aspires twofold. On the one hand, it attempts to establish a suitable environment of interaction and collaboration among learners by…

Artificial Intelligence · Computer Science 2021-10-04 Chabane Khentout , Khadidja Harbouche , Mahieddine Djoudi

A measure of interrater absolute agreement for ordinal scales is proposed capitalizing on the dispersion index for ordinal variables proposed by Giuseppe Leti. The procedure allows to avoid the problem of restriction of variance that…

Methodology · Statistics 2019-07-24 Giuseppe Bove , Pier Luigi Conti , Daniela Marella

The use of correntropy as a similarity measure has been increasing in different scenarios due to the well-known ability to extract high-order statistic information from data. Recently, a new similarity measure between complex random…

Information Theory · Computer Science 2017-10-03 João Guimarães

For full-reference image quality assessment (FR-IQA) using deep-learning approaches, the perceptual similarity score between a distorted image and a reference image is typically computed as a distance measure between features extracted from…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Abhijay Ghildyal , Nabajeet Barman , Saman Zadtootaghaj

We propose a new \textit{quadratic programming-based} method of approximating a nonstandard density using a multivariate Gaussian density. Such nonstandard densities usually arise while developing posterior samplers for unobserved…

Econometrics · Economics 2023-02-14 Abhishek K. Umrawal , Joshua C. C. Chan

The need to measure bias encoded in tabular data that are used to solve pattern recognition problems is widely recognized by academia, legislators and enterprises alike. In previous work, we proposed a bias quantification measure, called…

Machine Learning · Computer Science 2022-01-24 Gonzalo Nápoles , Lisa Koutsoviti Koumeri

In this paper, we propose a novel weighted combination feature selection method using bootstrap and fuzzy sets. The proposed method mainly consists of three processes, including fuzzy sets generation using bootstrap, weighted combination of…

Machine Learning · Computer Science 2020-05-22 Zixiao Shen , Xin Chen , Jonathan M. Garibaldi

The "maximum similarity correlation" definition introduced in this study is motivated by the seminal work of Szekely et al on "distance covariance" (Ann. Statist. 2007, 35: 2769-2794; Ann. Appl. Stat. 2009, 3: 1236-1265). Instead of using…

This paper explores the use of a fuzzy regression discontinuity design where multiple treatments are applied at the threshold. The identification results show that, under the very strong assumption that the change in the probability of…

Econometrics · Economics 2021-04-20 Hector Galindo-Silva , Nibene Habib Some , Guy Tchuente
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