Dissimilarity cumulation theory in smoothly connected spaces

More Smoothly Real Compact Spaces

A topological space X is called A-real compact, if every algebra homomorphism from A to the reals is an evaluation at some point of X, where A is an algebra of continuous functions. Our main interest lies on algebras of smooth functions. In [AdR] it was shown that any separable Banach space is smoothly real compact. Here we generalize this result to a huge class of locally convex spaces includi...

Dissimilarity Measures in Color Spaces

A problem of both theoretical and practical importance in image processing is to compare two color images, taking into account the eventual diversities due to translation, or color variations. The aim of this paper is to study the behavior of dissimilarity measures in different color spaces. Five color spaces (RGB, HSI, HSV, CIELab, CIELuv) are studied. Properties of the dissimilarity measures ...

Learning User Queries in Multimodal Dissimilarity Spaces

Different strategies to learn user semantic queries from dissimilarity representations of video audio-visual content are presented. When dealing with large corpora of videos documents, using a feature representation requires the online computation of distances between all documents and a query. Hence, a dissimilarity representation may be preferred because its offline computation speeds up the ...

Fast Nearest-Neighbor Search in Dissimilarity Spaces

Time Series Classification in Dissimilarity Spaces

Time series classification in the dissimilarity space combines the advantages of the dynamic time warping and the rich mathematical structure of Euclidean spaces. We applied dimension reduction using PCA followed by support vector learning on dissimilarity representations to 43 UCR datasets. Results indicate that time series classification in dissimilarity space has potential to complement the ...