In text management tasks, the dimensionality reduction becomes necessary to computation and interpretability of the results generated by machine learning algorithms. This paper describes a feature extraction method called semantic mapping. Semantic mapping, sparse random mapping and PCA are applied to self-organization of document collections using self-organizing map (SOM). The behaviors of th...

In this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. Weshow that obtained result is an extension of the result ofRodr'{i}guez-L'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.

We introduce an adaptive framework for multivariate sensor stream data reduction. The proposed method takes as input a sliding window of multivariate stream data, classifies the data in each window, and chooses reduction strategies that are most appropriate for the window. In the classification step, it discretizes the stream data into a string of symbols that characterize the signal changes an...

There is one Information Retrieval model that uses geometrical space: it is the Vector Space Model, which is defined in Euclidean Space. The paper shows that it is possible to define a Vector Space Model in non-Euclidean Space, too. Namely, the paper proposes a Vector Space Model over the Cayley-Klein Hyperbolic Geometry using a similarity measure derived from the hyperbolic distance. It is sho...