Consider a discrete group G and a bounded self-adjoint convolution operator T on l2 (G); let σ (T) be the spectrum of T. The spectral theorem gives a unitary isomorphism U between l2 (G) and a direct ...

We study hypercyclicity properties of a family of non-convolution operators defined on the spaces of entire functions on ℂN. These operators are a composition of a differentiation operator and an ...

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 ...

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 ...