On the similarity metric and the distance metric

S Chen, B Ma, K Zhang - Theoretical Computer Science, 2009 - Elsevier
Similarity and dissimilarity measures are widely used in many research areas and
applications. When a dissimilarity measure is used, it is normally required to be a distance …

Shape similarity measures, properties and constructions

RC Veltkamp, M Hagedoorn - … on Advances in Visual Information Systems, 2000 - Springer
This paper formulates properties of similarity measures. We list a number of similarity
measures, some of which are not well known (such as the Monge-Kantorovich metric), or …

A distance and angle similarity measure method

J Zhang, RR Korfhage - Journal of the American Society for …, 1999 - Wiley Online Library
This article presents a distance and angle similarity measure. The integrated similarity
measure takes the strengths of both the distance and direction of measured documents into …

Developing a new similarity measure from two different perspectives

J Zhang, EM Rasmussen - Information Processing & Management, 2001 - Elsevier
In this paper two distinct similarity measures in a document vector space, the distance-based
and angle-based similarity measures, are compared, and a newly developed similarity …

Toward robust distance metric analysis for similarity estimation

J Yu, Q Tian, J Amores, N Sebe - 2006 IEEE Computer Society …, 2006 - ieeexplore.ieee.org
In this paper, we present a general guideline to establish the relation between a distribution
model and its corresponding similarity estimation. A rich set of distance metrics, such as …

A survey of distance/similarity measures for categorical data

M Alamuri, BR Surampudi… - 2014 International joint …, 2014 - ieeexplore.ieee.org
Similarity or distance between two objects plays a fundamental role in many data mining
tasks like classification and clustering. Categorical data, unlike numeric data, conceptually is …

On not making dissimilarities euclidean

E Pękalska, RPW Duin, S Günter, H Bunke - Structural, Syntactic, and …, 2004 - Springer
Non-metric dissimilarity measures may arise in practice eg when objects represented by
sensory measurements or by structural descriptions are compared. It is an open issue …

Exploiting hierarchical domain structure to compute similarity

P Ganesan, H Garcia-Molina, J Widom - ACM Transactions on …, 2003 - dl.acm.org
The notion of similarity between objects finds use in many contexts, for example, in search
engines, collaborative filtering, and clustering. Objects being compared often are modeled …

Non-Euclidean or non-metric measures can be informative

E Pękalska, A Harol, RPW Duin, B Spillmann… - Structural, Syntactic, and …, 2006 - Springer
Statistical learning algorithms often rely on the Euclidean distance. In practice, non-
Euclidean or non-metric dissimilarity measures may arise when contours, spectra or shapes …

[PDF][PDF] Similarity of spatial scenes

HT Bruns, M Egenhofer - Seventh international symposium on …, 1996 - academia.edu
Similarity is the assessment of deviation from equivalence. Spatial similarity is complex due
to the numerous constraining properties of geographic objects and their embedding in …