Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
ICDE '95 Proceedings of the Eleventh International Conference on Data Engineering
Mining Partially Periodic Event Patterns with Unknown Periods
Proceedings of the 17th International Conference on Data Engineering
InfoMiner+: Mining Partial Periodic Patterns with Gap Penalties
ICDM '02 Proceedings of the 2002 IEEE International Conference on Data Mining
Efficient Mining of Partial Periodic Patterns in Time Series Database
ICDE '99 Proceedings of the 15th International Conference on Data Engineering
Efficient Algorithms for Mining Closed Itemsets and Their Lattice Structure
IEEE Transactions on Knowledge and Data Engineering
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A new methodology for automated extraction of repeated patterns in discrete time series data is presented, dedicated in particular to the discovery of repeated motives in symbolic music representations, such as MIDI files. The basic principle of the approach consists in a search for closed patterns in a multi-dimensional parametric space. The pattern description is further reduced through a lossless pruning of the sequence description. A notion of cyclic pattern is introduced, enabling an adapted filtering of another form of combinatorial redundancy caused by successive repetitions of patterns. The use of cyclic patterns implies a necessary chronological scanning of the musical sequence. This study shows therefore that automated analysis of music cannot rely on simple mathematical or statistical approaches, but needs rather a complex and detailed modeling of the cognitive system ruling listening processes. The resulting algorithm is able to offer for the first time compact and relevant motivic analyses of simple monodies, and may therefore be applied to automated indexing of symbolic music databases. Numerous additional mechanisms need to be added in order to consider all aspects of music expression, including polyphony and complex musical transformations.