Video Shots Comparison using the Mallows Distance

2007 ◽  
Author(s):  
Constantino Grana ◽  
Daniele Borghesani ◽  
Rita Cucchiara
Keyword(s):  
Mallows Distance

Measuring Musical Rhythm Similarity: Statistical Features Versus Transformation Methods

2015 ◽  
Vol 29 (02) ◽  
pp. 1550009 ◽  
Author(s):  
Juan F. Beltran ◽  
Xiaohua Liu ◽  
Nishant Mohanchandra ◽  
Godfried T. Toussaint
Keyword(s):  
Edit Distance ◽  
Correlation Coefficients ◽  
Transformation Method ◽  
Structural Features ◽  
Statistical Features ◽  
Musical Rhythm ◽  
Earth Movers Distance ◽  
Mallows Distance ◽  
Transformation Methods ◽  
Music Information

Two approaches to measuring the similarity between symbolically notated musical rhythms are compared with each other and with human judgments of perceived similarity. The first is the edit-distance, a popular transformation method, applied to the symbolic rhythm sequences. The second approach employs the histograms of the inter-onset-intervals (IOIs) calculated from the rhythms. Furthermore, two methods for dealing with the histograms are also compared. The first utilizes the Mallows distance, a transformation method akin to the Earth-Movers distance popular in computer vision, and the second extracts a group of standard statistical features, used in music information retrieval, from the IOI-histograms. The measures are compared using four contrastive musical rhythm data sets by means of statistical Mantel tests that compute correlation coefficients between the various dissimilarity matrices. The results provide evidence from the aural domain, that transformation methods such as the edit distance are superior to feature-based methods for predicting human judgments of similarity. The evidence also supports the hypothesis that IOI-histogram-based methods are better than music-theoretical structural features computed from the rhythms themselves, provided that the rhythms do not share identical IOI histograms.

Mallows Distance in VARFIMA(0,d, 0) Processes

2013 ◽  
Vol 42 (1) ◽  
pp. 24-51 ◽  
Author(s):  
Sílvia R. C. Lopes ◽  
Guilherme Pumi ◽  
Karine Zaniol
Keyword(s):  
Mallows Distance

scholarly journals A note on the Lindeberg condition for convergence to stable laws in Mallows distance

Bernoulli ◽  
2009 ◽  
Vol 15 (3) ◽  
pp. 922-924 ◽  
Author(s):  
Euro G. Barbosa ◽  
Chang C.Y. Dorea
Keyword(s):  
Stable Laws ◽  
Lindeberg Condition ◽  
Mallows Distance

scholarly journals Central limit theorem and convergence to stable laws in Mallows distance

Bernoulli ◽  
2005 ◽  
Vol 11 (5) ◽  
pp. 829-845 ◽  
Author(s):  
Oliver Johnson ◽  
Richard Samworth
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Stable Laws ◽  
Mallows Distance

Conditions for equivalence between Mallows distance and convergence to stable laws

2011 ◽  
Vol 134 (1-2) ◽  
pp. 1-11 ◽  
Author(s):  
Chang C. Y. Dorea ◽  
Debora B. Ferreira
Keyword(s):  
Stable Laws ◽  
Mallows Distance
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