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Method and apparatus for analyzing co-evolving time sequences

机译:分析共同演化时间序列的方法和装置

摘要

An analyzer system that analyzes a plurality of co-evolving time sequences to, for example, perform correlation or outlier detection on the time sequences. The plurality of co-evolving time sequences comprise a delayed time sequence and one or more known time sequences. A goal is to predict the delayed value given the available information. The plurality of time sequences have a present value and (N-1) past values, where N is the number of samples (time-ticks) of each time sequence. The analyzer system receives the plurality of co-evolving time sequences and determines a window size ("w"). The analyzer then assigns the delayed time sequence as a dependent variable and the present value of a subset of the known time sequences, and the past values of the subset of known time sequences and the delayed time sequence, as a plurality of independent variables. Past values delayed by up to "w" steps are considered. The analyzer then forms an equation comprising the dependent variable and the independent variables, and then solves the equation using a least squares method. The delayed time sequence is then determined using the solved equation.
机译:一种分析器系统,其分析多个共同发展的时间序列以例如对时间序列执行相关或离群值检测。多个共同进化的时间序列包括延迟时间序列和一个或多个已知时间序列。目标是在给定可用信息的情况下预测延迟值。多个时间序列具有当前值和(N-1)个过去值,其中N是每个时间序列的样本(时间点)数量。分析器系统接收多个共同演化的时间序列,并确定窗口大小(“ w”)。然后,分析器将延迟时间序列分配为因变量,并将已知时间序列的子集的当前值以及已知时间序列和延迟时间序列的子集的过去值分配为多个自变量。过去的值最多延迟“ w”步。然后,分析器形成包含因变量和自变量的方程式,然后使用最小二乘法求解方程式。然后使用解方程确定延迟的时间序列。

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