Artificial intelligence (AI) has recently gained rapid development in academy and industry due to intense research of deep convolutional neural network (CNN) with a multilayer architecture. In each ...

In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the ...

The semantic segmentation task in computer vision involves partitioning an image into a set of multiple non-overlapping and semantically interpretable regions. This entails assigning pixel-wise class ...

Consider the ℬ-valued probability space (𝒜,E,ℬ), where 𝒜 is a tracial von Neumann algebra. We extend the theory of operator-valued free probability to the algebra of affiliated operators 𝒜̃. For a ...