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Main Authors: Xie, Yi, Qiu, Tianyu, Xiong, Yun, Huang, Xiuqi, Gao, Xiaofeng, Chen, Chao
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.03986
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author Xie, Yi
Qiu, Tianyu
Xiong, Yun
Huang, Xiuqi
Gao, Xiaofeng
Chen, Chao
author_facet Xie, Yi
Qiu, Tianyu
Xiong, Yun
Huang, Xiuqi
Gao, Xiaofeng
Chen, Chao
contents Time series analysis and prediction methods currently excel in quantitative analysis, offering accurate future predictions and diverse statistical indicators, but generally falling short in elucidating the underlying evolution patterns of time series. To gain a more comprehensive understanding and provide insightful explanations, we utilize symbolic regression techniques to derive explicit expressions for the non-linear dynamics in the evolution of time series variables. However, these techniques face challenges in computational efficiency and generalizability across diverse real-world time series data. To overcome these challenges, we propose \textbf{N}eural-\textbf{E}nhanced \textbf{Mo}nte-Carlo \textbf{T}ree \textbf{S}earch (NEMoTS) for time series. NEMoTS leverages the exploration-exploitation balance of Monte-Carlo Tree Search (MCTS), significantly reducing the search space in symbolic regression and improving expression quality. Furthermore, by integrating neural networks with MCTS, NEMoTS not only capitalizes on their superior fitting capabilities to concentrate on more pertinent operations post-search space reduction, but also replaces the complex and time-consuming simulation process, thereby substantially improving computational efficiency and generalizability in time series analysis. NEMoTS offers an efficient and comprehensive approach to time series analysis. Experiments with three real-world datasets demonstrate NEMoTS's significant superiority in performance, efficiency, reliability, and interpretability, making it well-suited for large-scale real-world time series data.
format Preprint
id arxiv_https___arxiv_org_abs_2409_03986
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An Efficient and Generalizable Symbolic Regression Method for Time Series Analysis
Xie, Yi
Qiu, Tianyu
Xiong, Yun
Huang, Xiuqi
Gao, Xiaofeng
Chen, Chao
Machine Learning
Time series analysis and prediction methods currently excel in quantitative analysis, offering accurate future predictions and diverse statistical indicators, but generally falling short in elucidating the underlying evolution patterns of time series. To gain a more comprehensive understanding and provide insightful explanations, we utilize symbolic regression techniques to derive explicit expressions for the non-linear dynamics in the evolution of time series variables. However, these techniques face challenges in computational efficiency and generalizability across diverse real-world time series data. To overcome these challenges, we propose \textbf{N}eural-\textbf{E}nhanced \textbf{Mo}nte-Carlo \textbf{T}ree \textbf{S}earch (NEMoTS) for time series. NEMoTS leverages the exploration-exploitation balance of Monte-Carlo Tree Search (MCTS), significantly reducing the search space in symbolic regression and improving expression quality. Furthermore, by integrating neural networks with MCTS, NEMoTS not only capitalizes on their superior fitting capabilities to concentrate on more pertinent operations post-search space reduction, but also replaces the complex and time-consuming simulation process, thereby substantially improving computational efficiency and generalizability in time series analysis. NEMoTS offers an efficient and comprehensive approach to time series analysis. Experiments with three real-world datasets demonstrate NEMoTS's significant superiority in performance, efficiency, reliability, and interpretability, making it well-suited for large-scale real-world time series data.
title An Efficient and Generalizable Symbolic Regression Method for Time Series Analysis
topic Machine Learning
url https://arxiv.org/abs/2409.03986