In visual recognition, sub-categorization has been proposed to deal with large intraclass variance of samples in a category. Instead of learning a single classifier for each category, discriminant sub-categorization approaches divide a category into several subcategories and simultaneously train classifiers for each sub-category. In this paper, we propose a novel approach for discriminative sub...

In this article, we introduce the concept of co-covering which is the dual of covering concept. Then, we prove several theorems being similar to the theorems that have been de-veloped for the covering concept. For example, we provide the lifting criterion for co-coverings of a topological space X, which helps us to classify them by subgroups of the group of all homeomorphisms of X.

we give the concept of ‘braiding’ for 2-groupoids, and we show that this structure is equivalent tobraided regular, crossed modules.

In this paper, we present a new inductive learning method for multilabel text categorization. The proposed method uses a mutual information measure to select terms and constructs document descriptor vectors for each category based on these terms. These document descriptor vectors form a document descriptor matrix. It also uses the document descriptor vectors to construct a document-similarity m...

Rare category analysis is of key importance both in theory and in practice. Previous research work focuses on supervised rare category analysis, such as rare category detection and rare category classification. In this paper, for the first time, we address the challenge of unsupervised rare category analysis, including feature selection and rare category selection. We propose to jointly deal wi...

This paper proposes a lexical acquisition framework for a closeddomain chatbot. It learns the ontological categories of unknown terms in dialogues through implicit confirmation instead of using explicit questions which are too abrupt. Analysis of human participant responses to implicit confirmation requests confirmed the feasibility of our approach: the response expressions differed in a manner...

‎In this paper first we define the morphism between geometric spaces in two different types‎. ‎We construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories‎, ‎for instance $uu$ is topological‎. ‎The relation between hypergroups and geometric spaces is studied‎. ‎By constructing the category $qh$ of $H_{v}$-groups we answer the question...