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Department of Computer Science

University of California, Santa Barbara

Abstract

Parametric Approximation Algorithms for High-Dimensional Euclidean Similarity

by: Omer Egecioglu

Abstract:

We introduce a spectrum of algorithms for measuring the similarity of high-dimensional vectors in Euclidean space. The algorithms proposed consist of a convex combination of two measures: one which contains summary data about the shape of a vector, and the other about the relative magnitudes of the coordinates. We present experiments on time-series data on labor statistics unemploymentfigures that show the effectiveness of the algorithm as a function of the parameter that combines the two parts.

Keywords:

Dimensionality reduction, similarity search, inner-product, symmetric function, permutation, inversion, time-series data, labor statistics.

Date:

July 2000

Document: 2000-14

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