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Systematic Derivation of Bounds and Glue Constraints for Time-Series Constraints

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Principles and Practice of Constraint Programming (CP 2016)

Abstract

Integer time series are often subject to constraints on the aggregation of the integer features of all occurrences of some pattern within the series. For example, the number of inflexions may be constrained, or the sum of the peak maxima, or the minimum of the peak widths. It is currently unknown how to maintain domain consistency efficiently on such constraints. We propose parametric ways of systematically deriving glue constraints, which are a particular kind of implied constraints, as well as aggregation bounds that can be added to the decomposition of time-series constraints [5]. We evaluate the beneficial propagation impact of the derived implied constraints and bounds, both alone and together.

We thank the anonymous referees for their helpful comments. The authors in Nantes are supported by the EU H2020 programme under grant 640954 for project GRACeFUL and by the Gaspard-Monge programme. The authors in Uppsala are supported by the Swedish Research Council (VR) under grants 2011-6133 and 2012-4908. The last author is supported by Science Foundation Ireland (SFI) under grant SFI/10/IN.1/I3032; the Insight Centre for Data Analytics is supported by SFI under grant SFI/12/RC/2289.

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References

  1. Almeida, M., Moreira, N., Reis, R.: Enumeration and generation with a string automata representation. Theor. Comput. Sci. 387(2), 93–102 (2007). The FAdo tool is available at http://fado.dcc.fc.up.pt/

    Article  MathSciNet  MATH  Google Scholar 

  2. Arafailova, E., Beldiceanu, N., Carlsson, M., Douence, R., Flener, P., Francisco Rodríguez, M.A., Pearson, J., Simonis, H.: Global constraint catalog, volume ii: time-series constraints. Technical report, Computing Research Repository (forthcoming). http://arxiv.org

  3. Arafailova, E., Beldiceanu, N., Douence, R., Flener, P., Francisco Rodríguez, M.A., Pearson, J., Simonis, H.: Time-series constraints: improvements and application in CP and MIP contexts. In: Quimper, C.-G., Cavallo, M. (eds.) CPAIOR 2016. LNCS, vol. 9676, pp. 18–34. Springer, Heidelberg (2016). doi:10.1007/978-3-319-33954-2_2

    Chapter  Google Scholar 

  4. Beldiceanu, N., Carlsson, M.: Sweep as a generic pruning technique applied to the non-overlapping rectangles constraint. In: Walsh, T. (ed.) CP 2001. LNCS, vol. 2239, pp. 377–391. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  5. Beldiceanu, N., Carlsson, M., Douence, R., Simonis, H.: Using finite transducers for describing and synthesising structural time-series constraints. Constraints 21(1), 22–40 (2016). Journal fast track of CP 2015: summary on p. 723 of LNCS 9255, Springer (2015)

    Article  MathSciNet  MATH  Google Scholar 

  6. Beldiceanu, N., Carlsson, M., Flener, P., Rodríguez, M.A.F., Pearson, J.: Linking prefixes and suffixes for constraints encoded using automata with accumulators. In: O’Sullivan, B. (ed.) CP 2014. LNCS, vol. 8656, pp. 142–157. Springer, Heidelberg (2014)

    Google Scholar 

  7. Beldiceanu, N., Carlsson, M., Petit, T.: Deriving filtering algorithms from constraint checkers. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 107–122. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  8. Beldiceanu, N., Ifrim, G., Lenoir, A., Simonis, H.: Describing and generating solutions for the EDF unit commitment problem with the ModelSeeker. In: Schulte, C. (ed.) CP 2013. LNCS, vol. 8124, pp. 733–748. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  9. Bessiére, C., Hebrard, E., Hnich, B., Kiziltan, Z., Quimper, C.-G., Walsh, T.: Reformulating global constraints: the Slide and Regular constraints. In: Miguel, I., Ruml, W. (eds.) SARA 2007. LNCS (LNAI), vol. 4612, pp. 80–92. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  10. Bessiére, C., Katsirelos, G., Narodytska, N., Quimper, C.-G., Walsh, T.: Decomposition of the NValue constraint. In: Cohen, D. (ed.) CP 2010. LNCS, vol. 6308, pp. 114–128. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  11. Francisco Rodríguez, M.A., Flener, P., Pearson, J.: Implied constraints for Automaton constraints. In: Gottlob, G., Sutcliffe, G., Voronkov, A. (eds.) GCAI 2015. EasyChair Proceedings in Computing, vol. 36, pp. 113–126 (2015)

    Google Scholar 

  12. Hopcroft, J.E., Motwani, R., Ullman, J.D.: Introduction to Automata Theory, Languages, and Computation, 3rd edn. Addison-Wesley, Boston (2007)

    MATH  Google Scholar 

  13. Monette, J.-N., Flener, P., Pearson, J.: Towards solver-independent propagators. In: Milano, M. (ed.) CP 2012. LNCS, vol. 7514, pp. 544–560. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  14. Régin, J.C.: A filtering algorithm for constraints of difference in CSPs. In: Hayes-Roth, B., Korf, R.E. (eds.) AAAI 1994, pp. 362–367. AAAI Press (1994)

    Google Scholar 

  15. Van Hentenryck, P., Saraswat, V., Deville, Y.: Design, implementation, and evaluation of the constraint language cc (FD). Technical report CS-93-02, Brown University, Providence, USA, January 1993. Revised version in Journal of Logic Programming 37(1–3), 293–316 (1998). Based on the unpublished manuscript Constraint Processing in cc (FD) (1991)

    Google Scholar 

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Correspondence to Ekaterina Arafailova .

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Arafailova, E. et al. (2016). Systematic Derivation of Bounds and Glue Constraints for Time-Series Constraints. In: Rueher, M. (eds) Principles and Practice of Constraint Programming. CP 2016. Lecture Notes in Computer Science(), vol 9892. Springer, Cham. https://doi.org/10.1007/978-3-319-44953-1_2

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  • DOI: https://doi.org/10.1007/978-3-319-44953-1_2

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