# Revisiting Pattern Structure Projections

@article{Buzmakov2015RevisitingPS, title={Revisiting Pattern Structure Projections}, author={Aleksey Buzmakov and Sergei O. Kuznetsov and Amedeo Napoli}, journal={ArXiv}, year={2015}, volume={abs/1506.05018} }

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 computational complexity of computing with pattern structures is high and projections of pattern structures were introduced for simplifying computation. In this paper we introduce o-projections of pattern structures, a generalization of projections which defines a wider…

## 18 Citations

### On pattern setups and pattern multistructures

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The notion of pattern morphisms between pattern structures and a general sufficient condition for a homomorphic image of a pattern structure being again a pattern structures are introduced.

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This paper introduces the notion of "generalized monotonicity" and Sofia algorithm that allow to generate top patterns in polynomial time modulo basic operations, e.g., measure computation, for criteria that are not monotonic.

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This work presents a naive algorithm that computes the representation context a pattern structure, and adds a sampling technique in order to reduce the size of the output.

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An algorithm for mining numerical data with three key properties w.r.t. the state of the art: It yields progressively interval patterns whose quality improves over time, and always bounds a distance to the exhaustive exploration.

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