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Factor oracle

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Title: Factor oracle  
Author: World Heritage Encyclopedia
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Subject: Automata theory, Computer music
Collection: Automata Theory, Substring Indices
Publisher: World Heritage Encyclopedia

Factor oracle

A factor oracle is a finite state automaton that can efficiently search for factors (substrings) in a body of text. Older techniques, such as suffix trees, were time-efficient but required significant amounts of memory. Factor oracles, by contrast, can be constructed in linear time and space in an incremental fashion.[1]


  • Overview 1
  • Implementations 2
  • See also 3
  • References 4


Older techniques for matching strings include: suffix arrays, suffix trees, suffix automata or Directed acyclic word graphs, and factor automata (Allauzen, Crochemore, Raffinot, 1999). In 1999, Allauzen, Crochemore, and Raffinot, presented the factor oracle algorithm as a memory efficient improvement upon these older techniques for string matching and compression. Starting in the mid-2000s, factor oracles have found application in computer music, as well.[2]


The Computer Audition Laboratory provides a Matlab implementation of the factor oracle algorithm.

See also


  1. ^ Allauzen C., Crochemore M., Raffinot M., Factor oracle: a new structure for pattern matching; Proceedings of SOFSEM’99; Theory and Practice of Informatics.
  2. ^ Assayag G., Dubnov S., Using Factor Oracles for Machine Improvisation. Soft Computing - A Fusion of Foundations, Methodologies and Applications. 2004-09-01. Springer Berlin / Heidelberg

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