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Fast change point detection in switching dynamics using a hidden Markov model of prediction experts

机译:使用隐藏的预测专家模型切换动态的快速变化点检测

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We present a framework for modeling switching dynamics from a time series that allows for a fast on-line detection of dynamical mode changes. The method is based on a hidden Markov model (HMM) of prediction experts. The predictors are trained byExpectation Maximization (EM) and by using an annealing schedule for the HMM state probabilities. This leads to a segmentation of the time series into different dynamical modes and a simultaneous specialization of the prediction experts on the segments.In a second step, an input-density estimator is generated for each expert. It can simply be computed from the data subset assigned to the respective expert. In conjunction with the HMM state probabilities, this allows for a very fast on-line detection ofmode changes: change points are detected as soon as the incoming input data stream contains sufficient information to indicate a change in the dynamics.
机译:我们提出了一种从允许快速在线检测动态模式变化的时间序列建模切换动力学的框架。该方法基于预测专家的隐马尔可夫模型(HMM)。预测器受到训练的近视量最大化(EM),并通过使用用于HMM状态概率的退火时间表。这导致时间序列分段为不同的动态模式,并且在段上同时专用。在第二步中,为每个专家生成输入密度估计器。它可以简单地从分配给各个专家的数据子集计算。结合HMM状态概率,这允许在输入数据流包含足够信息以指示动态的变化以指示动态的改变时,检测到非常快的地在线检测:改变点。

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