Open Set Recognition (OSR) has been an emerging topic. Besides recognizing predefined classes, the system needs to reject unknowns. Prototype learning is a potential manner handle problem, as its ability improve intra-class compactness of representations much needed in discrimination between known and In this work, we propose novel Mining And Learning (PMAL) framework. It prototype mining mecha...

In inference, open-set classification is to either classify a sample into known class from training or reject it as an unknown class. Existing deep classifiers train explicit closed-set classifiers, in some cases disjointly utilizing reconstruction, which we find dilutes the latent representation's ability distinguish classes. contrast, our model cooperatively learn reconstruction and perform c...

In this paper, we introduce fuzzy Banach algebra and study the properties of invertible elements and its relation with opensets. We obtain some interesting results.

Visual counting, a task that aims to estimate the number of objects from an image/video, is open-set problem by nature as population can vary in $$[0,+\infty )$$ theory. However, collected data are limited reality, which means only closed set observed. Existing methods typically model this through regression, while they prone suffer unseen scenes with counts out scope set. In fact, counting has...

The aim of this paper is to introduce and study two new classes of functions called weakly $e^{*}$-open functions and weakly $e^{*}$-closed functions via the concept of $e^{*}$-open set defined by Ekici cite{erd1}. The notions of weakly $e^{*}$-open and weakly $e^{*}$-closed functions are weaker than the notions of weakly $beta$-open and weakly $beta$-closed functions defined by Caldas and Nava...