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Similarity between Euclidean and cosine angle distance for nearest neighbor queries

Published: 14 March 2004 Publication History

Abstract

Understanding the relationship among different distance measures is helpful in choosing a proper one for a particular application. In this paper, we compare two commonly used distance measures in vector models, namely, Euclidean distance (EUD) and cosine angle distance (CAD), for nearest neighbor (NN) queries in high dimensional data spaces. Using theoretical analysis and experimental results, we show that the retrieval results based on EUD are similar to those based on CAD when dimension is high. We have applied CAD for content based image retrieval (CBIR). Retrieval results show that CAD works no worse than EUD, which is a commonly used distance measure for CBIR, while providing other advantages, such as naturally normalized distance.

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cover image ACM Conferences
SAC '04: Proceedings of the 2004 ACM symposium on Applied computing
March 2004
1733 pages
ISBN:1581138121
DOI:10.1145/967900
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 14 March 2004

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Author Tags

  1. Content based image retrieval
  2. Cosine angle distance
  3. Euclidean distance
  4. Inter-feature normalization
  5. vector model

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SAC04
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SAC04: The 2004 ACM Symposium on Applied Computing
March 14 - 17, 2004
Nicosia, Cyprus

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Overall Acceptance Rate 1,650 of 6,669 submissions, 25%

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  • (2024)Measuring Patient Similarities in Clinical Data Repository through Graph Representation2024 21st International Joint Conference on Computer Science and Software Engineering (JCSSE)10.1109/JCSSE61278.2024.10613727(500-507)Online publication date: 19-Jun-2024
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