针对具有复杂结构的时间序列的 SSA-HJ-iplot 增强版

IF 1.4 4区 计算机科学 Q2 STATISTICS & PROBABILITY Advances in Data Analysis and Classification Pub Date : 2023-04-18 DOI:10.1007/s11634-023-00541-x
Alberto Silva, Adelaide Freitas
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引用次数: 0

摘要

HJ 双线图可以与奇异谱分析一起使用,以可视化方式识别单变量时间序列中的模式。这些图形被命名为 SSA-HJ-双曲线,可确保在同一因子轴系中以最高质量同时表示轨迹矩阵的行和列,并实现时间序列成分分离的可视化。时间序列中的结构变化会给可视化成分分离带来挑战,并导致错误的结论。本文讨论了能够处理此类复杂性的 SSA-HJ 双轴图的改进版本。在使用多元技术分离序列信号并确定发生结构变化的点之后,SSA-HJ-双线图将分别应用于序列的同质区间,这就是为什么要在可视化成分分离方面进行一些改进。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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An enhanced version of the SSA-HJ-biplot for time series with complex structure

HJ-biplots can be used with singular spectral analysis to visualize and identify patterns in univariate time series. Named SSA-HJ-biplots, these graphs guarantee the simultaneous representation of the trajectory matrix’s rows and columns with maximum quality in the same factorial axes system and allow visualization of the separation of the time series components. Structural changes in the time series can make it challenging to visualize the components’ separation and lead to erroneous conclusions. This paper discusses an improved version of the SSA-HJ-biplot capable of handling this type of complexity. After separating the series’ signal and identifying points where structural changes occurred using multivariate techniques, the SSA-HJ-biplot is applied separately to the series’ homogeneous intervals, which is why some improvement in the visualization of the components’ separation is intended.

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来源期刊
CiteScore
3.40
自引率
6.20%
发文量
45
审稿时长
>12 weeks
期刊介绍: The international journal Advances in Data Analysis and Classification (ADAC) is designed as a forum for high standard publications on research and applications concerning the extraction of knowable aspects from many types of data. It publishes articles on such topics as structural, quantitative, or statistical approaches for the analysis of data; advances in classification, clustering, and pattern recognition methods; strategies for modeling complex data and mining large data sets; methods for the extraction of knowledge from data, and applications of advanced methods in specific domains of practice. Articles illustrate how new domain-specific knowledge can be made available from data by skillful use of data analysis methods. The journal also publishes survey papers that outline, and illuminate the basic ideas and techniques of special approaches.
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