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What is Learnable in Valiant's Theory of the Learnable? 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Quickest Detection Of Deviations From Periodic Statistical Behavior
Taposh Banerjee, Prudhvi Gurram, Gene Whipps · 2018-10-30 · via math.ST updates on arXiv.org

A new class of stochastic processes called independent and periodically identically distributed (i.p.i.d.) processes is defined to capture periodically varying statistical behavior. Algorithms are proposed to detect changes in such i.p.i.d. processes. It is shown that the algorithms can be computed recursively and are asymptotically optimal. This problem has applications in anomaly detection in traffic data, social network data, and neural data, where periodic statistical behavior has been observed.

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