Machine learning models and ensemble methods for stock index return forecasting

Aivaras Bielskis , Igoris Belovas

Networks and Heterogeneous Media ›› 2026, Vol. 21 ›› Issue (3) : 848 -864.

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Networks and Heterogeneous Media ›› 2026, Vol. 21 ›› Issue (3) :848 -864. DOI: 10.3934/nhm.2026035
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Machine learning models and ensemble methods for stock index return forecasting
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Abstract

Reliable prediction of financial market movements remains a challenging task due to high volatility, complex interdependencies, and sensitivity to external shocks. This study assessed the performance of advanced machine learning models, including long short-term memory (LSTM), gated recurrent unit (GRU), transformer networks, extreme gradient boosting (XGBoost), and deep multi-layer perceptron (DMLP), as well as proposes their ensemble combinations, in forecasting daily closing prices of five major stock indices (S&P 500, NASDAQ-100, Dow Jones Industrial Average, FTSE 100, and DAX). Results indicate that although all models achieved high predictive accuracy, profitability outcomes varied substantially across models and markets. Among single-model approaches, LSTM generally exhibited more stable positive returns in several indices, while other models showed pronounced variability depending on market conditions. Meanwhile ensemble strategies frequently ranked among the top-performing configurations, often matching or exceeding the performance of adaptive weighting schemes. Performance was strongly index-dependent, with S&P 500 and NASDAQ- 100 exhibiting comparatively stronger profitability, whereas FTSE and Dow Jones showed weaker and less differentiated results. These findings emphasize that statistical accuracy (e.g., RMSE, R2 metrics) alone is insufficient for profitable trading, underscoring the importance of financial performance metrics, such as total return, drawdown, and risk-adjusted measures, when evaluating predictive models.

Keywords

returns forecasting / machine learning / deep learning / ensemble methods / stock indices / trading

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Aivaras Bielskis, Igoris Belovas. Machine learning models and ensemble methods for stock index return forecasting. Networks and Heterogeneous Media, 2026, 21 (3) : 848-864 DOI:10.3934/nhm.2026035

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