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 ...

When using the advanced measurement approach to determine required regulatory capital for operational risk, expert opinion is applied via scenario analysis to help quantify exposure to high-severity ...

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 ...