Title
A Pattern Extraction Algorithm for Abstract Melodic Representations that Allow Partial Overlapping of Intervallic Categories
Abstract
This paper proposes an efficient pattern extraction al- gorithm that can be applied on melodic sequences that are represented as strings of abstract intervallic symbols ; the melodic representation introduces special "don't care " symbols for intervals that may belong to two partially overlapping intervallic categories. As a special case the well established "step-leap" representation is examined. In the step-leap representation, each melodic diatonic in- terval is classified as a step (±s), a leap (±l) or a unison (u). Binary don't care symbols are introduced to repre- sent the possible overlapping between the various abstract categories e.g. � = s, � = l and # = s, # = l. For such a sequence, we are interested in finding maximal repeating pairs and repetitions with a hole (two matching subsequences separated with an intervening non-matching symbol). We propose an O(n + d(n d) + z)-time al- gorithm for computing all such repetitions in a given se- quence x = x(1..n) with d binary don't care symbols, where z is the output size.
Year
Venue
Keywords
2005
ISMIR 2013
string,suffix tree,lowest common ancestor.,don't care,repetitions,lowest common ancestor
Field
DocType
Citations 
Melody,Combinatorics,Lowest common ancestor,Diatonic scale,Extraction algorithm,Symbol,Unison,Arithmetic,Speech recognition,Mathematics,Special case,Binary number
Conference
7
PageRank 
References 
Authors
0.65
9
5
Name
Order
Citations
PageRank
Emilios Cambouropoulos120025.12
Maxime Crochemore22655281.75
Costas S. Iliopoulos31534167.43
Manal Mohamed410212.62
Marie-France Sagot51337109.23