The problem of maximum inner product search (MIPS) is one the most important components in machine learning systems. However, this does not care about diversity, although result diversification can improve user satisfaction. This paper hence considers a new problem, namely categorical diversity-aware IPS which users select preferable categories. Exactly solving needs <inline-formula xmlns:mml="...

The Fourier Descriptor (FD) is a powerful tool for shape analysis and many signatures have been proposed to derive Fourier descriptors. These shape signatures lack of important information in articulation and part structures of complex shapes. In this study, the Inner-Centroid Distance (ICDs) signature which is based on the Centroid Distance signature and Inner-Distance is developed to overcome...

A decomposition problem in geometry is the following: given a C manifold M on which is defined an affine connection without torsion, under what conditions in terms of the holonomy group will M be affinely diffeomorphic to a direct product of two other affinely connected manifolds? Here, we give a complete solution to the problem in the case the connection is one induced by a (definite or indefi...