Efficient discovery of functional dependencies and armstrong relations

S Lopes, JM Petit, L Lakhal - International Conference on Extending …, 2000 - Springer
In this paper, we propose a new efficient algorithm called Dep-Miner for discovering minimal
non-trivial functional dependencies from large databases. Based on theoretical foundations …

[HTML][HTML] The lattices of closure systems, closure operators, and implicational systems on a finite set: a survey

N Caspard, B Monjardet - Discrete Applied Mathematics, 2003 - Elsevier
Closure systems (ie families of subsets of a set S containing S and closed by set
intersection) or, equivalently, closure operators and full implicational systems appear in …

Mining functional dependencies from data

H Yao, HJ Hamilton - Data Mining and Knowledge Discovery, 2008 - Springer
In this paper, we propose an efficient rule discovery algorithm, called FD_Mine, for mining
functional dependencies from data. By exploiting Armstrong's Axioms for functional …

[图书][B] Finite ordered sets: concepts, results and uses

N Caspard, B Leclerc, B Monjardet - 2012 - books.google.com
Ordered sets are ubiquitous in mathematics and have significant applications in computer
science, statistics, biology and the social sciences. As the first book to deal exclusively with …

Link key candidate extraction with relational concept analysis

M Atencia, J David, J Euzenat, A Napoli… - Discrete applied …, 2020 - Elsevier
Linked data aims at publishing data expressed in RDF (Resource Description Framework) at
the scale of the worldwide web. These datasets interoperate by publishing links which …

Machine learning on the basis of formal concept analysis

SO Kuznetsov - Automation and Remote Control, 2001 - Springer
A model of machine learning from positive and negative examples (JSM-learning) is
described in terms of Formal Concept Analysis (FCA). Graph-theoretical and lattice …

Closed sets based discovery of small covers for association rules

N Pasquier, Y Bastide, R Taouil, L Lakhal - BDA'1999 international …, 1999 - hal.science
In this paper, we address the problem of the understandability and usefulness of the set of
discovered association rules. This problem is important since real-life databases lead most …

Functional and approximate dependency mining: database and FCA points of view

S Lopes, JM Petit, L Lakhal - Journal of Experimental & Theoretical …, 2002 - Taylor & Francis
In this article, we deal with the functional and approximate dependency inference problem
by pointing out some relationships between relational database theory and formal concept …

Computing join queries with functional dependencies

M Abo Khamis, HQ Ngo, D Suciu - … of the 35th ACM SIGMOD-SIGACT …, 2016 - dl.acm.org
Recently, Gottlob, Lee, Valiant, and Valiant (GLVV) presented an output size bound for join
queries with functional dependencies (FD), based on a linear program on polymatroids …

Achievements of relational database schema design theory revisited

J Biskup - International Workshop on Semantics in Databases, 1995 - Springer
Database schema design is seen as to decide on formats for time-varying instances, on
rules for supporting inferences and on semantic constraints. Schema design aims at both …