Skip to main content

Advertisement

Log in

Adaptive dissimilarity index for measuring time series proximity

  • Regular Article
  • Published:
Advances in Data Analysis and Classification Aims and scope Submit manuscript

Abstract

The most widely used measures of time series proximity are the Euclidean distance and dynamic time warping. The latter can be derived from the distance introduced by Maurice Fréchet in 1906 to account for the proximity between curves. The major limitation of these proximity measures is that they are based on the closeness of the values regardless of the similarity w.r.t. the growth behavior of the time series. To alleviate this drawback we propose a new dissimilarity index, based on an automatic adaptive tuning function, to include both proximity measures w.r.t. values and w.r.t. behavior. A comparative numerical analysis between the proposed index and the classical distance measures is performed on the basis of two datasets: a synthetic dataset and a dataset from a public health study.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alt H, Godau M (1992) Measuring the resemblance of polygonal curves. In: Proceedings of 8th Annual ACM Symposium on Computational Geometry. ACM Press, Berlin, pp 102–109

  • Caiado J, Crato N, Pena D (2006) A periodogram-based metric for time series classification. Comput Stat Data Anal 50:2668–2684

    Article  MathSciNet  MATH  Google Scholar 

  • Chouakria Douzal A (2003). Compression technique preserving correlations of a multivariate temporal sequence. In: Berthold MR, Lenz HJ, Bradley E, Kruse R, Borgelt C (eds). Advances in Intelligent Data Analysis. Springer, Berlin Heidelberg, pp 566–577

    Google Scholar 

  • Eiter T, Mannila H (1994) Computing discrete Fréchet distance. Technical report CD-TR 94/64, Christian Doppler Laboratory for expert systems. TU Vienna, Austria

  • Fréchet M (1906) Sur quelques points du calcul fonctionnel. Rend Circ Math Palermo 22:1–74

    Article  Google Scholar 

  • Garcia-Escudero LA, Gordaliza A (2005) A proposal for robust curve clustering. J Classif 22:185-201

    Article  MathSciNet  Google Scholar 

  • Godau M (1991) A natural metric for curves—computing the distance for polygonal chains and approximation algorithms. In: Proceedings of 8th Symposium Theoretical Aspects of Computation Science, Springer, Lecture notes in Computer Science, Springer-Verlag New York, pp 127–136

  • Heckman NE, Zamar RH (2000) Comparing the shapes of regression functions. Biometrika 22:135–144

    Article  MathSciNet  Google Scholar 

  • Hennig C, Hausdorf B (2006). Design of dissimilarity measure: a new dissimilarity measure between species distribution ranges. In: Batagelj V, Bock HH, Ferligoj A, Z̆iberna A (eds). Data science and classification. Springer, Heidelberg Berlin, pp 29–38

    Chapter  Google Scholar 

  • Kakizawa Y, Shumway RH, Taniguchi N (1998) Discrimination and clustering for multivariate time series. J Am Stat Assoc 93(441): 328–340

    Article  MathSciNet  MATH  Google Scholar 

  • Kaslow RA, Ostrow DG (1987) The multicenter AIDS cohort study: rational, organization and selected characteristics of the participants. Am J Epidemiol 126:310–18

    Google Scholar 

  • Keller K, Wittfeld K (2004) Distances of time series components by means of symbolic dynamics. Int J Bifurc Chaos 14:693–704

    Article  MathSciNet  MATH  Google Scholar 

  • Liao WT (2005) Clustering of time series data—a survey. Pattern Recognit 38:1857–1874

    Article  MATH  Google Scholar 

  • Maharaj EA (2000) Cluster of time series. J Classif 17:297–314

    Article  MathSciNet  MATH  Google Scholar 

  • Moller-Levet CS, Klawonn F, Cho KH, Wolkenhauer O (2003). Fuzzy clustering of short time series and unevenly distributed sampling points. In: Berthold MR, Lenz HJ, Bradley E, Kruse R, Borgelt C (eds). Advances in Intelligent Data Analysis. Springer, Berlin Heidelberg, pp 330–340

    Google Scholar 

  • Oates T, Firoiou L, Cohen PR (1999) Clustering time series with Hidden Markov Models and Dynamic Time Warping. In: Proceedings of 6th IJCAI-99, Workshop on Neural, Symbolic and Reinforcement Learning Methods for Sequence Learning. Stockholm, pp 17–21

  • Sankoff D, Kruskal JB ed. (1983) Time warps, string edits, and macromolecules: the theory and practice of sequence comparison. Addison-Wesley, Reading

    Google Scholar 

  • Serban N, Wasserman L (2004) CATS: cluster after transformation and smoothing. J Am Stat Assoc 100:990–999

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ahlame Douzal Chouakria.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chouakria, A.D., Nagabhushan, P.N. Adaptive dissimilarity index for measuring time series proximity. ADAC 1, 5–21 (2007). https://doi.org/10.1007/s11634-006-0004-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11634-006-0004-6

Keywords

Navigation