对于近位空间时间数据的输入平均张量回归
Jinwen Liang1, Maozai Tian2,3
1College of Statistics and Data Science, Faculty of Science, Beijing University of Technology, Beijing, People's Republic of China.
Journal of applied statistics
|April 17, 2024
概括
这项研究引入了一种新的张量回归方法,用于赋值缺失的传感器数据. 通过结合共变量,它提高了空间时间数据集的归算精度,改善了数据分析.
科学领域:
- 数据科学数据科学数据科学
- 统计 统计 统计 统计
- 传感器网络 传感器网络
背景情况:
- 来自传感器网络的时空数据经常存在缺失的值,阻碍了准确的分析.
- 当前的无监督归算方法往往涉及到张量或矩阵的等级最小化.
- 结合相关的共变量来提高归算准确性的实用性仍然是一个悬而未决的问题.
研究的目的:
- 通过整合相关的共变量,为时空传感器数据开发准确的归算方法.
- 通过结合张量回归来增强无监督张量完成.
- 调查拟议的归算方法的理论特性和实际效率.
主要方法:
- 通过添加时间维度,将传感器时间测量转换为高阶张量.
- 集成张量回归与使用核规范惩罚的张量完成.
- 利用近站点数据的空间一致性,同时估计参数和归算缺失值.
主要成果:
- 拟议的方法有效地将空间时间数据中的缺失值归因.
- 实现了参数和归算的同时估计,从空间一致性中受益.
- 该方法在模拟研究和现实世界数据分析中表现出了效率.
结论:
- 新型张量回归方法为时空传感器数据提供了准确的归算.
- 通过这种方法将共变量纳入,与传统技术相比,可以提高归算的准确性.
- 该方法是稳固的,因为它不假设一个特定的缺失数据机制.
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