Structural Knowledge Informed Continual Multivariate Time Series Forecasting

Fuente: arXiv
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Autores principales: Pan, Zijie, Jiang, Yushan, Song, Dongjin, Garg, Sahil, Rasul, Kashif, Schneider, Anderson, Nevmyvaka, Yuriy
Formato: Preprint
Publicado: 2024
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author Pan, Zijie
Jiang, Yushan
Song, Dongjin
Garg, Sahil
Rasul, Kashif
Schneider, Anderson
Nevmyvaka, Yuriy
author_facet Pan, Zijie
Jiang, Yushan
Song, Dongjin
Garg, Sahil
Rasul, Kashif
Schneider, Anderson
Nevmyvaka, Yuriy
contents Recent studies in multivariate time series (MTS) forecasting reveal that explicitly modeling the hidden dependencies among different time series can yield promising forecasting performance and reliable explanations. However, modeling variable dependencies remains underexplored when MTS is continuously accumulated under different regimes (stages). Due to the potential distribution and dependency disparities, the underlying model may encounter the catastrophic forgetting problem, i.e., it is challenging to memorize and infer different types of variable dependencies across different regimes while maintaining forecasting performance. To address this issue, we propose a novel Structural Knowledge Informed Continual Learning (SKI-CL) framework to perform MTS forecasting within a continual learning paradigm, which leverages structural knowledge to steer the forecasting model toward identifying and adapting to different regimes, and selects representative MTS samples from each regime for memory replay. Specifically, we develop a forecasting model based on graph structure learning, where a consistency regularization scheme is imposed between the learned variable dependencies and the structural knowledge while optimizing the forecasting objective over the MTS data. As such, MTS representations learned in each regime are associated with distinct structural knowledge, which helps the model memorize a variety of conceivable scenarios and results in accurate forecasts in the continual learning context. Meanwhile, we develop a representation-matching memory replay scheme that maximizes the temporal coverage of MTS data to efficiently preserve the underlying temporal dynamics and dependency structures of each regime. Thorough empirical studies on synthetic and real-world benchmarks validate SKI-CL's efficacy and advantages over the state-of-the-art for continual MTS forecasting tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2402_12722
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Structural Knowledge Informed Continual Multivariate Time Series Forecasting
Pan, Zijie
Jiang, Yushan
Song, Dongjin
Garg, Sahil
Rasul, Kashif
Schneider, Anderson
Nevmyvaka, Yuriy
Machine Learning
Recent studies in multivariate time series (MTS) forecasting reveal that explicitly modeling the hidden dependencies among different time series can yield promising forecasting performance and reliable explanations. However, modeling variable dependencies remains underexplored when MTS is continuously accumulated under different regimes (stages). Due to the potential distribution and dependency disparities, the underlying model may encounter the catastrophic forgetting problem, i.e., it is challenging to memorize and infer different types of variable dependencies across different regimes while maintaining forecasting performance. To address this issue, we propose a novel Structural Knowledge Informed Continual Learning (SKI-CL) framework to perform MTS forecasting within a continual learning paradigm, which leverages structural knowledge to steer the forecasting model toward identifying and adapting to different regimes, and selects representative MTS samples from each regime for memory replay. Specifically, we develop a forecasting model based on graph structure learning, where a consistency regularization scheme is imposed between the learned variable dependencies and the structural knowledge while optimizing the forecasting objective over the MTS data. As such, MTS representations learned in each regime are associated with distinct structural knowledge, which helps the model memorize a variety of conceivable scenarios and results in accurate forecasts in the continual learning context. Meanwhile, we develop a representation-matching memory replay scheme that maximizes the temporal coverage of MTS data to efficiently preserve the underlying temporal dynamics and dependency structures of each regime. Thorough empirical studies on synthetic and real-world benchmarks validate SKI-CL's efficacy and advantages over the state-of-the-art for continual MTS forecasting tasks.
title Structural Knowledge Informed Continual Multivariate Time Series Forecasting
topic Machine Learning
url https://arxiv.org/abs/2402.12722