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Formal Concept Analysis (FCA) begins from a context, given as a binary relation between some objects and some attributes, and derives a lattice of concepts, where each concept is given as a set of objects and a set of attributes, such that…

Machine Learning · Computer Science 2023-11-03 Dusko Pavlovic

Formal Concept Analysis "FCA" is a data analysis method which enables to discover hidden knowledge existing in data. A kind of hidden knowledge extracted from data is association rules. Different quality measures were reported in the…

Information Theory · Computer Science 2010-08-24 Dhouha Grissa , Sylvie Guillaume , Engelbert Mephu Nguifo

This paper is a tutorial on Formal Concept Analysis (FCA) and its applications. FCA is an applied branch of Lattice Theory, a mathematical discipline which enables formalisation of concepts as basic units of human thinking and analysing…

Information Retrieval · Computer Science 2017-03-09 Dmitry I. Ignatov

In order to address complex systems, apply pattern recongnition on their evolution could play an key role to understand their dynamics. Global patterns are required to detect emergent concepts and trends, some of them with qualitative…

Artificial Intelligence · Computer Science 2011-08-05 Gonzalo A. Aranda-Corral , Joaquín Borrego-Díaz , Juan Galán-Páez

Formal Concept Analysis (FCA) is a mathematical theory based on the formalization of the notions of concept and concept hierarchies. It has been successfully applied to several Computer Science fields such as data mining,software…

Artificial Intelligence · Computer Science 2009-05-29 Leonard Kwuida , Rokia Missaoui , Lahcen Boumedjout , Jean Vaillancourt

Formal Concept Analysis (FCA) is an approach to creating a conceptual hierarchy in which a \textit{concept lattice} is generated from a \textit{formal context}. That is, a triple consisting of a set of objects, $G$, a set of attributes,…

Logic in Computer Science · Computer Science 2024-10-08 Lucas Carr , Nicholas Leisegang , Thomas Meyer , Sebastian Rudolph

Formal Concept Analysis (FCA) provides a method called attribute exploration which helps a domain expert discover structural dependencies in knowledge domains that can be represented by a formal context (a cross table of objects and…

Artificial Intelligence · Computer Science 2022-06-02 Maximilian Felde , Gerd Stumme

Despite the popularity of Formal Concept Analysis (FCA) as a mathematical framework for data analysis, some of its extensions are still considered arcane. Polyadic Concept Analysis (PCA) is one of the most promising yet understudied of…

Discrete Mathematics · Computer Science 2022-03-29 Alexandre Bazin , Giacomo Kahn , Camille Noûs

Formal Concept Analysis (FCA) is a well-established method for data analysis which finds many applications in data mining. Its extension on complex data representation formats brought a wave of new applications to the problems such as gene…

Information Retrieval · Computer Science 2018-09-27 Dmitry Morozov , Mario Lezoche , Hervé Panetto

Formal concept analysis (FCA) is built on a special type of Galois connections called polarities. We present new results in formal concept analysis and in Galois connections by presenting new Galois connection results and then applying…

Other Computer Science · Computer Science 2013-09-23 Jeffrey T. Denniston , Austin Melton , Stephen E. Rodabaugh

Attribute exploration is a method from Formal Concept Analysis (FCA) that helps a domain expert discover structural dependencies in knowledge domains which can be represented as formal contexts (cross tables of objects and attributes). In…

Artificial Intelligence · Computer Science 2022-09-21 Maximilian Felde , Gerd Stumme

Machine Learning (ML) provides important techniques for classification and predictions. Most of these are black-box models for users and do not provide decision-makers with an explanation. For the sake of transparency or more validity of…

Machine Learning · Computer Science 2021-02-26 Léonard Kwuida , Dmitry I. Ignatov

Formal concept analysis (FCA) is a useful mathematical tool for obtaining information from relational datasets. One of the most interesting research goals in FCA is the selection of the most representative variables of the dataset, which is…

Data Structures and Algorithms · Computer Science 2024-09-25 Roberto G. Aragón , Jesús Medina , Eloísa Ramírez-Poussa

Formal concept analysis (FCA) is a well-founded method for data analysis and has many applications in data mining. Pattern structures is an extension of FCA for dealing with complex data such as sequences or graphs. However the…

Discrete Mathematics · Computer Science 2015-06-17 Aleksey Buzmakov , Sergei O. Kuznetsov , Amedeo Napoli

We present a novel method that can learn a graph representation from multivariate data. In our representation, each node represents a cluster of data points and each edge represents the subset-superset relationship between clusters, which…

Machine Learning · Computer Science 2018-12-11 Yuka Yoneda , Mahito Sugiyama , Takashi Washio

Visual analytics is a subdomain of data analysis which combines both human and machine analytical abilities and is applied mostly in decision-making and data mining tasks. Triclustering, based on Formal Concept Analysis (FCA), was developed…

Information Retrieval · Computer Science 2015-04-22 Yury Kashnitsky

We present a novel approach to the automatic acquisition of taxonomies or concept hierarchies from a text corpus. The approach is based on Formal Concept Analysis (FCA), a method mainly used for the analysis of data, i.e. for investigating…

Artificial Intelligence · Computer Science 2011-09-13 P. Cimiano , A. Hotho , S. Staab

A well-known knowledge acquisition method in the field of Formal Concept Analysis (FCA) is attribute exploration. It is used to reveal dependencies in a set of attributes with help of a domain expert. In most applications no single expert…

Artificial Intelligence · Computer Science 2022-12-09 Maximilian Felde , Gerd Stumme

The vast growth of data has rendered traditional manual inspection infeasible, necessitating the adoption of computational methods for efficient data exploration. Topic modeling has emerged as a powerful tool for analyzing large-scale…

Artificial Intelligence · Computer Science 2025-06-30 Klara M. Gutekunst , Dominik Dürrschnabel , Johannes Hirth , Gerd Stumme

Explainability is a key challenge and a major research theme in AI research for developing intelligent systems that are capable of working with humans more effectively. An obvious choice in developing explainable intelligent systems relies…

Artificial Intelligence · Computer Science 2023-01-06 Erman Acar , Andrea De Domenico , Krishna Manoorkar , Mattia Panettiere
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