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What is Learnable in Valiant's Theory of the Learnable? 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Detection and Estimation of Multiple Transient Changes
Baron Michael, Malov Sergey · 2021-12-13 · via math.ST updates on arXiv.org

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the "in-control" state changes to an "out-of-control" distribution for unknown periods of time. Likelihood based sequential and retrospective tools are proposed for the detection and estimation of each pair of change-points. The accuracy of the obtained change-point estimates is assessed. Proposed methods offer simultaneous control the familywise false alarm and false readjustment rates at the pre-chosen levels.

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