Detection of Calendar-Based Periodicities of Interval-Based Temporal Patterns
Anjana K. Mahanta, Mala Dutta

TL;DR
This paper introduces a fast new method for detecting calendar-based periodicities in interval-based temporal patterns, revealing hierarchical relationships and improving efficiency over previous approaches.
Contribution
A novel, faster technique for identifying calendar-based periodicities in interval-based patterns, with insights into hierarchical timestamp relationships.
Findings
Method is asymptotically faster than previous approaches.
Identifies hierarchical relationships between periodicities.
Effective in detecting recurring temporal patterns across calendar cycles.
Abstract
We present a novel technique to identify calendar-based (annual, monthly and daily) periodicities of an interval-based temporal pattern. An interval-based temporal pattern is a pattern that occurs across a time-interval, then disappears for some time, again recurs across another time-interval and so on and so forth. Given the sequence of time-intervals in which an interval-based temporal pattern has occurred, we propose a method for identifying the extent to which the pattern is periodic with respect to a calendar cycle. In comparison to previous work, our method is asymptotically faster. We also show an interesting relationship between periodicities across different levels of any hierarchical timestamp (year/month/day, hour/minute/second etc.).
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Taxonomy
TopicsTime Series Analysis and Forecasting · Music and Audio Processing · Data Management and Algorithms
