Abstract

This paper solves the phase trajectory approximation problem. Quasiperiodic time series form its trajectory in high dimensional space. The trajectory is represented in the spherical coordinate system. To approximate the trajectory the authors use a directional regression technique. It finds space of minimal dimension with the phase trajectory has no self-intersections. Its self-intersections defined within the standard deviation of the reconstructed trajectory. The experiment was conducted on two data sets: data of electricity consumption during the year and sensor data of the accelerometer while walking and running.

中文翻译：

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使用方向回归逼近准周期信号相位轨迹

摘要

本文解决了相轨迹近似问题。准周期时间序列在高维空间中形成其轨迹。轨迹以球坐标系表示。为了近似轨迹，作者使用了方向回归技术。发现相轨迹没有自相交的最小尺寸空间。它的自相交定义在重建轨迹的标准偏差之内。实验是在两个数据集上进行的：一年中的用电量数据以及步行和跑步时加速度计的传感器数据。