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Data privacy is a major concern in industries such as healthcare or finance. The requirement to safeguard privacy is essential to prevent data breaches and misuse, which can have severe consequences for individuals and organisations.…

Machine Learning · Computer Science 2024-12-18 Jose L Salmeron , Irina Arévalo

Reasoning on knowledge graphs is a challenging task because it utilizes observed information to predict the missing one. Particularly, answering complex queries based on first-order logic is one of the crucial tasks to verify learning to…

Artificial Intelligence · Computer Science 2024-10-23 Hang Yin , Zihao Wang , Yangqiu Song

The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

In line with the increasing attention paid to deal with uncertainty in ordinal data models, we propose to combine Fuzzy models with \cub models within questionnaire analysis. In particular, the focus will be on \cub models' uncertainty…

Applications · Statistics 2016-06-22 E. Di Nardo , R. Simone

In this paper, a non-probabilistic method based on fuzzy logic is used to update finite element models (FEMs). Model updating techniques use the measured data to improve the accuracy of numerical models of structures. However, the measured…

Artificial Intelligence · Computer Science 2017-01-05 I. Boulkaibet , T. Marwala , M. I. Friswell , H. Haddad Khodaparast , S. Adhikari

Recently, diffusion models have become popular tools for image synthesis because of their high-quality outputs. However, like other large-scale models, they may leak private information about their training data. Here, we demonstrate a…

Machine Learning · Computer Science 2023-12-11 Shuai Tang , Zhiwei Steven Wu , Sergul Aydore , Michael Kearns , Aaron Roth

A model's interpretability is essential to many practical applications such as clinical decision support systems. In this paper, a novel interpretable machine learning method is presented, which can model the relationship between input…

Machine Learning · Computer Science 2022-12-06 Heming Yao , Harm Derksen , Jessica R. Golbus , Justin Zhang , Keith D. Aaronson , Jonathan Gryak , Kayvan Najarian

Data Envelopment Analysis (DEA) as mathematical models evaluates the technical efficiency of Decision Making Units (DMU) having multiple inputs and multiple outputs. Researchers are interested in applying DEA models in Multi Attribute…

Optimization and Control · Mathematics 2015-08-26 Majid Zerafat Angiz L. , Mohd Kamal Nawawi , Mohammad Ghadiri , Adli Mustafa

The purpose of the paper is to provide a new way of seeing the p-value in terms of a fuzzy membership function. According to the ASAs statement, we aim at removing the arbitrary choice of the significance level and at demonstrating that the…

Other Statistics · Statistics 2025-08-12 Piero Quatto

Modification of a conceptual clustering algorithm Cobweb for the purpose of its application for numerical data is offered. Keywords: clustering, algorithm Cobweb, numerical data, fuzzy membership function.

Artificial Intelligence · Computer Science 2013-02-26 A. V. Korobeynikov , I. I. Islamgaliev

Recent years have witnessed the tremendous success of diffusion models in data synthesis. However, when diffusion models are applied to sensitive data, they also give rise to severe privacy concerns. In this paper, we systematically present…

Cryptography and Security · Computer Science 2023-01-25 Hailong Hu , Jun Pang

Objective functions that optimize deep neural networks play a vital role in creating an enhanced feature representation of the input data. Although cross-entropy-based loss formulations have been extensively used in a variety of supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Deen Dayal Mohan , Bhavin Jawade , Srirangaraj Setlur , Venu Govindaraj

With the widespread use of machine learning to support decision-making, it is increasingly important to verify and understand the reasons why a particular output is produced. Although post-training feature importance approaches assist this…

Data generated by edge devices has the potential to train intelligent autonomous systems across various domains. Despite the emergence of diverse machine learning approaches addressing privacy concerns and utilizing distributed data,…

Machine Learning · Computer Science 2024-03-12 Adarsh N L , Arun P , Alok Porwal , Malcolm Aranha

Finding multilevel association rules in transaction databases is most commonly seen in is widely used in data mining. In this paper, we present a model of mining multilevel association rules which satisfies the different minimum support at…

Databases · Computer Science 2010-03-23 Pratima Gautam , K. R. Pardasani

Diffusion models are capable of generating photo-realistic images that combine elements which likely do not appear together in the training set, demonstrating the ability to \textit{compositionally generalize}. Nonetheless, the precise…

Artificial Intelligence · Computer Science 2024-10-14 Qiyao Liang , Ziming Liu , Mitchell Ostrow , Ila Fiete

In this paper,we develop a local-to-global and measure-theoretical approach to understand datasets. The idea is to take network models with restricted domains as local charts of datasets. We develop the mathematical foundations for these…

Differential Geometry · Mathematics 2025-02-04 Inkee Jung , Siu-Cheong Lau

A new fuzzy optimization framework that extends FCM causality is proposed. This model utilizes the dynamics to map data into metrics and create a framework that examines logical implication and hierarchy of concepts using a multiplex.…

Artificial Intelligence · Computer Science 2025-12-12 Alexis Kafantaris

In a recent paper [1] we introduced the Fuzzy Bayesian Learning (FBL) paradigm where expert opinions can be encoded in the form of fuzzy rule bases and the hyper-parameters of the fuzzy sets can be learned from data using a Bayesian…

Machine Learning · Statistics 2017-04-07 Indranil Pan , Dirk Bester

We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' predicates, which corresponds to `fuzzification' of properties,…

Logic · Mathematics 2007-05-23 Adonai S. Sant'Anna