Predicting Company Growth using Scaling Theory informed Machine Learning

Fuente: arXiv
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Autori principali: Tao, Ruyi, Cappelli, Veronica R., Liu, Kaiwei, Hamilton, Marcus J., Kempes, Christopher P., Wes, Geoffrey B., Zhang, Jiang
Natura: Preprint
Pubblicazione: 2024
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author Tao, Ruyi
Cappelli, Veronica R.
Liu, Kaiwei
Hamilton, Marcus J.
Kempes, Christopher P.
Wes, Geoffrey B.
Zhang, Jiang
author_facet Tao, Ruyi
Cappelli, Veronica R.
Liu, Kaiwei
Hamilton, Marcus J.
Kempes, Christopher P.
Wes, Geoffrey B.
Zhang, Jiang
contents Predicting company growth is a critical yet challenging task because observed dynamics blend an underlying structural growth trend with volatile fluctuations. Here, we propose a Scaling-Theory-Informed Machine Learning (STIML) framework that integrates a scaling-based growth model to capture the mechanism-driven average trend, together with a data-driven forecasting model to learn the residual fluctuations. Using Compustat annual financial statement data (1950--2019) for 31,553 North American companies, we extend the growth model beyond assets to multiple financial indicators, and evaluate STIML against growth model-only and purely data-driven baselines. Across 16 target variables, we show that company growth exhibits a clear separation between trend-driven predictability and fluctuation-driven predictability, with their relative importance depending strongly on company size and volatility. Interpretability analyses further show that STIML captures multivariate dependencies beyond simple autocorrelation, and that macroeconomic variables contribute significantly less to predictive performance on average. Moreover, we find the scaling-based growth model overlooks asymmetric deviations, which instead contain the structured and learnable signals, suggesting a path to refine mechanistic models.
format Preprint
id arxiv_https___arxiv_org_abs_2410_17587
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Predicting Company Growth using Scaling Theory informed Machine Learning
Tao, Ruyi
Cappelli, Veronica R.
Liu, Kaiwei
Hamilton, Marcus J.
Kempes, Christopher P.
Wes, Geoffrey B.
Zhang, Jiang
Computational Engineering, Finance, and Science
Machine Learning
General Economics
Economics
Physics and Society
Predicting company growth is a critical yet challenging task because observed dynamics blend an underlying structural growth trend with volatile fluctuations. Here, we propose a Scaling-Theory-Informed Machine Learning (STIML) framework that integrates a scaling-based growth model to capture the mechanism-driven average trend, together with a data-driven forecasting model to learn the residual fluctuations. Using Compustat annual financial statement data (1950--2019) for 31,553 North American companies, we extend the growth model beyond assets to multiple financial indicators, and evaluate STIML against growth model-only and purely data-driven baselines. Across 16 target variables, we show that company growth exhibits a clear separation between trend-driven predictability and fluctuation-driven predictability, with their relative importance depending strongly on company size and volatility. Interpretability analyses further show that STIML captures multivariate dependencies beyond simple autocorrelation, and that macroeconomic variables contribute significantly less to predictive performance on average. Moreover, we find the scaling-based growth model overlooks asymmetric deviations, which instead contain the structured and learnable signals, suggesting a path to refine mechanistic models.
title Predicting Company Growth using Scaling Theory informed Machine Learning
topic Computational Engineering, Finance, and Science
Machine Learning
General Economics
Economics
Physics and Society
url https://arxiv.org/abs/2410.17587