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Enhancing financial time series forecasting through topological data analysis

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Název: Enhancing financial time series forecasting through topological data analysis
Autoři: Luiz Carlos de Jesus, Francisco Fernández-Navarro, Mariano Carbonero-Ruz
Zdroj: RIUMA. Repositorio Institucional de la Universidad de Málaga
Universidad de Málaga
Informace o vydavateli: Springer Science and Business Media LLC, 2025.
Rok vydání: 2025
Témata: Time series forecasting, Análisis de datos, Topological data analysis, Feature extraction
Popis: Topological data analysis (TDA) is increasingly acknowledged within financial markets for its capacity to manage complexity and discern nuanced patterns and structures. It has been applied effectively to uncover intricate relationships and capture non-linear dependencies inherent in market data. This manuscript presents a groundbreaking study that delves into integrating features derived from TDA to improve the performance of forecasting models for univariate time series prediction. The research specifically examines whether incorporating features extracted from TDA-such as entropy, amplitude, and the number of points obtained from persistent diagrams can provide valuable supplementary information to the baseline forecasting model. Thus, the aim is to determine if these TDA-derived features can boost forecasting accuracy by offering additional insights that existing models might overlook. The model serves as the baseline forecasting model due to its robust generalization capabilities and flexibility in incorporating additional features into the model. The proposed methodology is compared against a univariate model without additional features and other strategies incorporating supplementary features such as temporal decomposition and time delay embeddings. The evaluation includes forecasting for six cryptocurrencies across four distinct time scenarios and four traditional financial instruments across two scenarios each, resulting in 32 datasets. The results obtained were promising, as the proposed method, $$\texttt {N-BEATS}_\mathrm {+TDA}$$ N - BEATS + TDA , achieved the best results in mean performance and mean ranking for the three metrics considered (MAPE, MAE, and RMSE). Significant differences were observed with the rest of the proposed methods using a significance level of $$\alpha = 0.10$$ α = 0.10 , highlighting the effectiveness of integrating TDA features to enhance forecasting models.
Druh dokumentu: Article
Jazyk: English
ISSN: 1433-3058
0941-0643
DOI: 10.1007/s00521-024-10787-x
Přístupová URL adresa: https://hdl.handle.net/10630/36603
Rights: CC BY
Přístupové číslo: edsair.doi.dedup.....2dea88c4beed8a19faab4ba4335dd095
Databáze: OpenAIRE
Popis
Abstrakt:Topological data analysis (TDA) is increasingly acknowledged within financial markets for its capacity to manage complexity and discern nuanced patterns and structures. It has been applied effectively to uncover intricate relationships and capture non-linear dependencies inherent in market data. This manuscript presents a groundbreaking study that delves into integrating features derived from TDA to improve the performance of forecasting models for univariate time series prediction. The research specifically examines whether incorporating features extracted from TDA-such as entropy, amplitude, and the number of points obtained from persistent diagrams can provide valuable supplementary information to the baseline forecasting model. Thus, the aim is to determine if these TDA-derived features can boost forecasting accuracy by offering additional insights that existing models might overlook. The model serves as the baseline forecasting model due to its robust generalization capabilities and flexibility in incorporating additional features into the model. The proposed methodology is compared against a univariate model without additional features and other strategies incorporating supplementary features such as temporal decomposition and time delay embeddings. The evaluation includes forecasting for six cryptocurrencies across four distinct time scenarios and four traditional financial instruments across two scenarios each, resulting in 32 datasets. The results obtained were promising, as the proposed method, $$\texttt {N-BEATS}_\mathrm {+TDA}$$ N - BEATS + TDA , achieved the best results in mean performance and mean ranking for the three metrics considered (MAPE, MAE, and RMSE). Significant differences were observed with the rest of the proposed methods using a significance level of $$\alpha = 0.10$$ α = 0.10 , highlighting the effectiveness of integrating TDA features to enhance forecasting models.
ISSN:14333058
09410643
DOI:10.1007/s00521-024-10787-x