‎This paper develops a basic theory of $H$-groups‎. ‎We‎ ‎introduce a special quotient of $H$-groups and‎ ‎extend some algebraic constructions of topological groups to the category‎ ‎of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups‎.

in addition to exploring constructions and properties of limits and colimits in categories of topologicalalgebras, we study special subcategories of topological algebras and their properties. in particular, undercertain conditions, reflective subcategories when paired with topological structures give rise to reflectivesubcategories and epireflective subcategories give rise to epireflective subc...

these are notes from introductory survey lectures given at the institute for studies in theoretical physics and mathematics (ipm), teheran, in 2008 and 2010. we present the definition and the fundamental properties of fomin-zelevinsky’s cluster algebras. then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generators of ...

One of the most important issues in Text Categorization (TC) is Feature Selection (FS). Many FS methods have been put forward and widely used in TC field, such as Information Gain (IG), Document Frequency (DF) thresholding, Mutual Information (MI) and so on. Empirical studies show that IG is one of the most effective methods, DF performs similarly, in contrast, and MI had relatively poor perfor...

We present a novel method of dimension reduction and feature selection that makes use of category-dependent regions in high-dimensional data. Our method is inspired by phonemedependent, noise-robust low-variance regions observed in the cortical response, and introduces the notion of categorydependence in a two-step dimension reduction process that draws on the fundamental principles of Fisher L...

‎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...

In order to automatically obtain hierarchical knowledge representation from a certain data, an unsupervised learning method has been developed that overcomes two problems of the growing hierarchical self-organizing map (GHSOM) method, which uses the quantization error, the deviation of the input data, as evaluation measure of the growing maps: proper control of the growth process of each map is...

The adoption of fault detection techniques during initial stages of software development life cycle urges to improve reliability of a software product. Specification-based testing is one of the major criterions to detect faults in the requirement specification or design of a software system. However, due to the non-availability of implementation details, test case generation from formal specifi...

This paper presents a set of formal descriptions to the multi-robot task allocation problem mainly focusing on the capability category aspect. Both robot and task capability vectors are defined. Based upon the these, both single and multi-robot cooperative task accomplishment conditions are discussed. Based upon the capability category and task accomplishment condition, a novel combinatorial bi...

The Kernel based Nonlinear Subspace (KNS) method is proposed for multi-class pattern classi cation. This method consists of the nonlinear transformation of feature spaces de ned by kernel functions and subspace method in transformed high-dimensional spaces. The Support Vector Machine, a nonlinear classi er based on a kernel function technique, shows excellent classi cation performance, however,...