An Edit-Distance Model for the Approximate Matching of Timed Strings

2009 ◽  
Vol 31 (4) ◽  
pp. 736-741 ◽  
Author(s):  
S. Dobrisek ◽  
J. Zibert ◽  
N. Pavesic ◽  
F. Mihelic
Keyword(s):  
Edit Distance ◽  
Approximate Matching ◽  
Distance Model

Invariance of edit-distance to tempo in rhythm similarity

2020 ◽  
pp. 030573562097103
Author(s):  
Matthew Moritz ◽  
Matthew Heard ◽  
Hyun-Woong Kim ◽  
Yune S Lee
Keyword(s):  
Edit Distance ◽  
Ecological Validity ◽  
Perceptual Similarity ◽  
Music Psychology ◽  
Mantel Tests ◽  
Distance Model ◽  
Minimum Number ◽  
History Of ◽  
Similarity Ratings ◽  
Similarity Judgments

Despite the long history of music psychology, rhythm similarity perception remains largely unexplored. Several studies suggest that edit-distance—the minimum number of notational changes required to transform one rhythm into another—predicts similarity judgments. However, the ecological validity of edit-distance remains elusive. We investigated whether the edit-distance model can predict perceptual similarity between rhythms that also differed in a fundamental characteristic of music—tempo. Eighteen participants rated the similarity between a series of rhythms presented in a pairwise fashion. The edit-distance of these rhythms varied from 1 to 4, and tempo was set at either 90 or 150 beats per minute (BPM). A test of congruence among distance matrices (CADM) indicated significant inter-participant reliability of ratings, and non-metric multidimensional scaling (nMDS) visualized that the ratings were clustered based upon both tempo and whether rhythms shared an identical onset pattern, a novel effect we termed rhythm primacy. Finally, Mantel tests revealed significant correlations of edit-distance with similarity ratings on both within- and between-tempo rhythms. Our findings corroborated that the edit-distance predicts rhythm similarity and demonstrated that the edit-distance accounts for similarity of rhythms that are markedly different in tempo. This suggests that rhythmic gestalt is invariant to differences in tempo.

Approximate Matching of Neighborhood Subgraphs — An Ordered String Graph Levenshtein Method

2016 ◽  
Vol 24 (03) ◽  
pp. 411-431 ◽  
Author(s):  
David F. Nettleton ◽  
Julian Salas
Keyword(s):  
Online Social Networks ◽  
Edit Distance ◽  
Graph Matching ◽  
Computational Cost ◽  
Tree Structures ◽  
Approximate Matching ◽  
Coding Scheme ◽  
Coding Schemes ◽  
String Graph ◽  
High Computational Cost

Given that exact pair-wise graph matching has a high computational cost, different representational schemes and matching methods have been devised in order to make matching more efficient. Such methods include representing the graphs as tree structures, transforming the structures into strings and then calculating the edit distance between those strings. However many coding schemes are complex and are computationally expensive. In this paper, we present a novel coding scheme for unlabeled graphs and perform some empirical experiments to evaluate its precision and cost for the matching of neighborhood subgraphs in online social networks. We call our method OSG-L (Ordered String Graph-Levenshtein). Some key advantages of the pre-processing phase are its simplicity, compactness and lower execution time. Furthermore, our method is able to match both non-isomorphisms (near matches) and isomorphisms (exact matches), also taking into account the degrees of the neighbors, which is adequate for social network graphs.

The Role of Tempo and Primacy in Rhythm Similarity: A Multidimensional Scaling Evaluation

2019 ◽  
Author(s):  
Matthew Moritz ◽  
Matthew Heard ◽  
Yune Lee
Keyword(s):  
Multidimensional Scaling ◽  
Edit Distance ◽  
Music Psychology ◽  
Mixed Effects Modeling ◽  
Distance Model ◽  
History Of ◽  
Similarity Ratings ◽  
Main Effects ◽  
Similarity Judgements

Despite the long history of music psychology, rhythm similarity perception remains largely unexplored. Several existing studies suggest that the edit-distance model—which is based on the number of notational changes required to transform one rhythm into another—can predict rhythm similarity judgements. Nevertheless, edit-distance has not been evaluated in the presence of other musical factors such as rhythms that also differ in tempo. Here, eighteen participants rated the degree of similarity of a series of pair-wise rhythm phrases in which edit-distance was varied from 1 to 4, and tempo was set at either 90 or 150 beats per minute. Non-metric multidimensional scaling (nMDS) revealed that rhythm similarity ratings were clustered based upon either tempo or the identical onset pattern (i.e., primacy), but not based on edit-distance. Linear mixed effects modeling further confirmed the nMDS visualizations by yielding main effects of tempo and primacy. It also revealed interactions between edit-distance, tempo, and primacy, thus partially supporting edit-distance. That is, edit-distance predicted rhythm similarity only when tempo or primacy were controlled. Together, our findings suggest that the effects of tempo and primacy outweigh that of edit-distance, prompting a revision of theories regarding human percept of rhythm similarity.

The Role of Tempo and Primacy in Rhythm Similarity: A Multidimensional Scaling Evaluation

2019 ◽  
Author(s):  
Matthew Moritz ◽  
Matthew Heard ◽  
Yune Lee
Keyword(s):  
Multidimensional Scaling ◽  
Edit Distance ◽  
Music Psychology ◽  
Mixed Effects Modeling ◽  
Distance Model ◽  
History Of ◽  
Similarity Ratings ◽  
Main Effects ◽  
Similarity Judgements

Despite the long history of music psychology, rhythm similarity perception remains largely unexplored. Several existing studies suggest that the edit-distance model—which is based on the number of notational changes required to transform one rhythm into another—can predict rhythm similarity judgements. Nevertheless, edit-distance has not been evaluated in the presence of other musical factors such as rhythms that also differ in tempo. Here, eighteen participants rated the degree of similarity of a series of pair-wise rhythm phrases in which edit-distance was varied from 1 to 4, and tempo was set at either 90 or 150 beats per minute. Non-metric multidimensional scaling (nMDS) revealed that rhythm similarity ratings were clustered based upon either tempo or the identical onset pattern (i.e., primacy), but not based on edit-distance. Linear mixed effects modeling further confirmed the nMDS visualizations by yielding main effects of tempo and primacy. It also revealed interactions between edit-distance, tempo, and primacy, thus partially supporting edit-distance. That is, edit-distance predicted rhythm similarity only when tempo or primacy were controlled. Together, our findings suggest that the effects of tempo and primacy outweigh that of edit-distance, prompting a revision of theories regarding human percept of rhythm similarity.

Stochastic Contextual Edit Distance and Probabilistic FSTs

2014 ◽  
Author(s):  
Ryan Cotterell ◽  
Nanyun Peng ◽  
Jason Eisner
Keyword(s):  
Edit Distance
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