A Supervised Screening and Regularized Factor-Based Method for Time Series Forecasting

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Autori principali: Tu, Sihan, Gao, Zhaoxing
Natura: Preprint
Pubblicazione: 2025
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author Tu, Sihan
Gao, Zhaoxing
author_facet Tu, Sihan
Gao, Zhaoxing
contents Factor-based forecasting using Principal Component Analysis (PCA) is an effective machine learning tool for dimension reduction with many applications in statistics, economics, and finance. This paper introduces a Supervised Screening and Regularized Factor-based (SSRF) framework that systematically addresses high-dimensional predictor sets through a structured four-step procedure integrating both static and dynamic forecasting mechanisms. The static approach selects predictors via marginal correlation screening and scales them using univariate predictive slopes, while the dynamic method screens and scales predictors based on time series regression incorporating lagged predictors. PCA then extracts latent factors from the scaled predictors, followed by LASSO regularization to refine predictive accuracy. In the simulation study, we validate the effectiveness of SSRF and identify its parameter adjustment strategies in high-dimensional data settings. An empirical analysis of macroeconomic indices in China demonstrates that the SSRF method generally outperforms several commonly used forecasting techniques in out-of-sample predictions.
format Preprint
id arxiv_https___arxiv_org_abs_2502_15275
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Supervised Screening and Regularized Factor-Based Method for Time Series Forecasting
Tu, Sihan
Gao, Zhaoxing
Econometrics
Factor-based forecasting using Principal Component Analysis (PCA) is an effective machine learning tool for dimension reduction with many applications in statistics, economics, and finance. This paper introduces a Supervised Screening and Regularized Factor-based (SSRF) framework that systematically addresses high-dimensional predictor sets through a structured four-step procedure integrating both static and dynamic forecasting mechanisms. The static approach selects predictors via marginal correlation screening and scales them using univariate predictive slopes, while the dynamic method screens and scales predictors based on time series regression incorporating lagged predictors. PCA then extracts latent factors from the scaled predictors, followed by LASSO regularization to refine predictive accuracy. In the simulation study, we validate the effectiveness of SSRF and identify its parameter adjustment strategies in high-dimensional data settings. An empirical analysis of macroeconomic indices in China demonstrates that the SSRF method generally outperforms several commonly used forecasting techniques in out-of-sample predictions.
title A Supervised Screening and Regularized Factor-Based Method for Time Series Forecasting
topic Econometrics
url https://arxiv.org/abs/2502.15275