RobustTSF: Towards Theory and Design of Robust Time Series Forecasting with Anomalies

Fuente: arXiv
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Main Authors: Cheng, Hao, Wen, Qingsong, Liu, Yang, Sun, Liang
Format: Preprint
Published: 2024
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author Cheng, Hao
Wen, Qingsong
Liu, Yang
Sun, Liang
author_facet Cheng, Hao
Wen, Qingsong
Liu, Yang
Sun, Liang
contents Time series forecasting is an important and forefront task in many real-world applications. However, most of time series forecasting techniques assume that the training data is clean without anomalies. This assumption is unrealistic since the collected time series data can be contaminated in practice. The forecasting model will be inferior if it is directly trained by time series with anomalies. Thus it is essential to develop methods to automatically learn a robust forecasting model from the contaminated data. In this paper, we first statistically define three types of anomalies, then theoretically and experimentally analyze the loss robustness and sample robustness when these anomalies exist. Based on our analyses, we propose a simple and efficient algorithm to learn a robust forecasting model. Extensive experiments show that our method is highly robust and outperforms all existing approaches. The code is available at https://github.com/haochenglouis/RobustTSF.
format Preprint
id arxiv_https___arxiv_org_abs_2402_02032
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle RobustTSF: Towards Theory and Design of Robust Time Series Forecasting with Anomalies
Cheng, Hao
Wen, Qingsong
Liu, Yang
Sun, Liang
Machine Learning
Time series forecasting is an important and forefront task in many real-world applications. However, most of time series forecasting techniques assume that the training data is clean without anomalies. This assumption is unrealistic since the collected time series data can be contaminated in practice. The forecasting model will be inferior if it is directly trained by time series with anomalies. Thus it is essential to develop methods to automatically learn a robust forecasting model from the contaminated data. In this paper, we first statistically define three types of anomalies, then theoretically and experimentally analyze the loss robustness and sample robustness when these anomalies exist. Based on our analyses, we propose a simple and efficient algorithm to learn a robust forecasting model. Extensive experiments show that our method is highly robust and outperforms all existing approaches. The code is available at https://github.com/haochenglouis/RobustTSF.
title RobustTSF: Towards Theory and Design of Robust Time Series Forecasting with Anomalies
topic Machine Learning
url https://arxiv.org/abs/2402.02032