AbstractAnomaly detection can be conceived either through generative modelling of regular training data or by discriminating with respect to negative data. These two approaches exhibit different failure modes. Consequently, hybrid algorithms present an attractive research goal. Unfortunately, dense anomaly requires translational equivariance and very large input resolutions. requirements disqua...

One of the challenges in pattern recognition is open set recognition. Compared with closed recognition, needs to reduce not only empirical risk, but also space and reduction these two risks corresponds classifying known classes identifying unknown respectively. How risk key This paper explores origin by analyzing distribution features. On this basis, spatial location constraint prototype loss f...

In this article we originate a new class of Grill Set, namely GSβ-Open which is parallel to the β Open Set in Topological Space (X, θ, G). addition, entitle GSβ-continuous and GSβ-open functions by applying review some its important properties. Many examples are given explain concept lucidly. The properties GSβ open sets investigated studied. theorems based on arbitrary union finite intersectio...