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 ...

The Annals of Statistics, Vol. 37, No. 6B (December 2009), pp. 3960-3984 (25 pages) This paper focuses on obtaining clustering information about a distribution from its i.i.d. samples. We develop ...

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 ...

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 ...