Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Discovering pan-correlation patterns from time course data sets by efficient mining algorithms

  • Published:
Computing Aims and scope Submit manuscript

Abstract

Time-course correlation patterns can be positive or negative, and time-lagged with gaps. Mining all these correlation patterns help to gain broad insights on variable dependencies. Here, we prove that diverse types of correlation patterns can be represented by a generalized form of positive correlation patterns. We prove a correspondence between positive correlation patterns and sequential patterns, and present an efficient single-scan algorithm for mining the correlations. Evaluations on synthetic time course data sets, and yeast cell cycle gene expression data sets indicate that: (1) the algorithm has linear time increment in terms of increasing number of variables; (2) negative correlation patterns are abundant in real-world data sets; and (3) correlation patterns with time lags and gaps are abundant. Existing methods have only discovered incomplete forms of many of these patterns, and have missed some important patterns completely.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Cho RJ, Campbell MJ, Winzeler EA, Steinmetz L, Conway A, Wodicka L, Wolfsberg TG, Gabrielian AE, Landsman D, Lockhart DJ, Davis RW (1998) A genome-wide transcriptional analysis of the mitotic cell cycle. Mol Cell 2(1):65–73

    Article  Google Scholar 

  2. Chuang CL, Jen CH, Chen CM, Shieh GS (2008) A pattern recognition approach to infer time-lagged genetic interactions. Bioinformatics 24(9):1183–1190

    Article  Google Scholar 

  3. Getz G, Levine E, Domany E (2000) Coupled two-way clustering analysis of gene microarray data. Proc Nat Acad Sci 97(22):12,079–12,084

    Article  Google Scholar 

  4. Ji L, Tan KL (2004) Mining gene expression data for positive and negative co-regulated gene clusters. Bioinformatics 20(16):2711–2718

    Article  Google Scholar 

  5. Ji L, Tan KL (2005) Identifying time-lagged gene clusters using gene expression data. Bioinformatics 21(4):509–516

    Article  Google Scholar 

  6. Jiang D, Pei J, Ramanathan M, Tang C, Zhang A (2004a) Mining coherent gene clusters from gene-sample-time microarray data. In: Proceedings of the tenth ACM SIGKDD international conference on Knowledge discovery and data mining, ACM, New York, NY, USA, KDD ’04, pp 430–439

  7. Koch K, Schonauer S, Jansen I, van den Bussche J, Burzykowski T (2007) Finding clusters of positive and negative coregulated genes in gene expression data. In: Proceedings of the 7th IEEE international conference on bioinformatics and bioengineering, 2007. BIBE 2007, pp 93–99

  8. Li J, Liu Q, Zeng T (2010) Negative correlations in collaboration: concepts and algorithms. In: KDD, pp 463–472

  9. Li X, Rao S, Jiang W, Li C, Xiao Y, Guo Z, Zhang Q, Wang L, Du L, Li J, Li L, Zhang T, Wang Q (2006) Discovery of time-delayed gene regulatory networks based on temporal gene expression profiling. BMC Bioinform 7(1):26

    Article  Google Scholar 

  10. Madeira S, Oliveira A (2009) A polynomial time biclustering algorithm for finding approximate expression patterns in gene expression time series. Algorithms Mol Biol 4(1):8

    Article  Google Scholar 

  11. Madeira SC, Teixeira MC, Sa-Correia I, Oliveira AL (2010) Identification of regulatory modules in time series gene expression data using a linear time biclustering algorithm. IEEE/ACM Trans Comput Biol Bioinf 7(1):153–165

    Article  Google Scholar 

  12. Parsons L, Haque E, Liu H (2004) clustering for high dimensional data: a review. SIGKDD Explor Newsl 6(1):90–105

    Article  Google Scholar 

  13. Roy S, Bhattacharyya DK, Kalita JK (2013) CoBi: pattern based co-regulated biclustering of gene expression data. Pattern Recogn Lett 34(14):1669–1678

    Article  Google Scholar 

  14. Spellman PT, Sherlock G, Zhang MQ, Iyer VR, Anders K, Eisen MB, Brown PO, Botstein D, Futcher B (1998) Comprehensive identification of cell cycleregulated genes of the yeast saccharomyces cerevisiae by microarray hybridization. Mol Biol Cell 9(12):3273–3297

    Article  Google Scholar 

  15. Van Mechelen I, Bock HH, De Boeck P (2004) Two-mode clustering methods: a structured overview. Stat Methods Med Res 13(5):363–394

    Article  MathSciNet  MATH  Google Scholar 

  16. Wang J, Han J (2004) BIDE: efficient mining of frequent closed sequences. In: 20th international conference on data engineering, 2004. Proceedings, pp 79–90

  17. Yin L, Wang G, Mao K, Zhao Y (2006) Mining time-delayed coherent patterns in time series gene expression data. In: Li X, Zaiane O, Li Zh (eds) Advanced data mining and applications, vol 4093. Lecture notes in computer science. Springer, Berlin, pp 711–722

    Chapter  Google Scholar 

  18. Zeng T, Li J (2010) Maximization of negative correlations in time-course gene expression data for enhancing understanding of molecular pathways. Nucleic Acids Res 38(1):e1

    Article  Google Scholar 

  19. Zhao Y, Yu J, Wang G, Chen L, Wang B, Yu G (2008b) Maximal coregulated gene clustering. IEEE Trans Knowl Data Eng 20(1):83–98

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jinyan Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Q., Ghosh, S., Li, J. et al. Discovering pan-correlation patterns from time course data sets by efficient mining algorithms. Computing 100, 421–437 (2018). https://doi.org/10.1007/s00607-018-0606-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00607-018-0606-9

Keywords

Mathematics Subject Classification