Efficient Matching of Substrings in Uncertain Sequences

Yuxuan Li, James Bailey, Lars Kulik, Jian Pei

Abstract: Substring matching is fundamental to data mining methods for sequential data. It involves checking the existence of a short subsequence within a longer sequence, ensuring no gaps within a match. Whilst a large amount of existing work has focused on substring matching and mining techniques for certain sequences, there are only a few results for uncertain sequences. Uncertain sequences provide powerful representations for modelling sequence behavioural characteristics in emerging domains, such as bioinformatics, sensor streams and trajectory analysis. In this paper, we focus on the core problem of computing substring matching probability in uncertain sequences and propose an efficient dynamic programming algorithm for this task. We demonstrate our approach is both competitive theoretically, as well as effective and scalable experimentally. Our results contribute towards a foundation for adapting classic sequence mining methods to deal with uncertain data.