Classifying Pattern and Feature Properties to Get a Θ(n) Checker and Reformulation for Sliding Time-Series Constraints

12/03/2019

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by   Nicolas Beldiceanu, et al.

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Given, a sequence X of n variables, a time-series constraint ctr using the Sum aggregator, and a sliding time-series constraint enforcing the constraint ctr on each sliding window of X of m consecutive variables, we describe a Θ(n) time complexity checker, as well as a Θ(n) space complexity reformulation for such sliding constraint.