the present note arises from the author's talk at the conference ``ischia group theory 2014''. for subgroups $fle n$ of a group $g$ denote by $lat(f,n)$ the set of all subgroups of $n$, containing $f$. let $d$ be a subgroup of $g$. in this note we study the lattice $ll=lat(d,g)$ and the lattice $ll'$ of subgroups of $g$, normalized by $d$. we say that $ll$ satisfies sandwich classification theo...

سخن سردبیر editorial مجله دانشگاه علوم پزشکی رفسنجان دوره 13، دی 1393، 924-923       طبقه بندی سوء رفتارهای پژوهشی   classification of research misconduct   محسن رضائیان[1] m. rezaeian   خلافکاری های پژوهشی (research misconduct) مشتمل بر طیف وسیعی از رفتارهای بسیار مخرب تا رفتارهای کمتر مخربی را در بر می گیرد که می توان مهمترین آنها را به شرح زیر طبقه بندی نمود ]2-1[: —جعل داده ها — تحریف داده ...

This paper classifies the Grothendieck rings of complex fusion categories multiplicity one up to rank six. Among 72 possible rings, $25$ ones are filtered out by using categorification criteria. Each remaining 47 admits a unitary categorification. We found 6 new categorified applying localization approach Pentagon Equation.

A number of tasks, such as large-scale text categorization and word prediction, can benefit from efficient learning and classification when the number of classes (categories), in addition to instances and features, is large, that is, in the thousands and beyond. We investigate learning of sparse category indices to address this challenge. An index is a weighted bipartite graph mapping features ...

This paper deals with categorization tasks where categories are partially ordered to form a hierarchy. First, it introduces the notion of consistent classification which takes into account the semantics of a class hierarchy. Then, it presents a novel global hierarchical approach that produces consistent classification. This algorithm with AdaBoost as the underlying learning procedure significan...

The identification of built-up areas from aerial imagery is essential for map updating and detecting changes for a national mapping organisation. At the Chief Directorate of National Geospatial Information (CD: NGI), South Africa’s national mapping agency, this process relies on operators to manually digitise features of interest, which is very time consuming and labour intensive. It is therefo...