Dynamic Multi-Criteria Portfolio Selection Integrating Transformer-Based Financial Forecasting with Peer-Prediction Trees

Portfolio optimization demands simultaneous consideration of multiple conflicting criteria under uncertainty, yet prevailing approaches either rely on some black-box machine learning (ML) models that sacrifice interpretability or employ classical multi-criteria decision-making (MCDM) methods lacking predictive foresight. This paper proposes a two-stage framework integrating a Transformer encoder for multi-output financial forecasting with the Peer-Prediction Trees for MCDM (PPT-MCDM) method for dynamic asset ranking and portfolio construction. The Transformer generates forward-looking predictions of next-period return, volatility, and maximum drawdown, while PPT-MCDM ranks assets by their excess performance index (EPI), measuring how much each asset’s multi-criteria profile exceeds data-driven peer expectations. The framework is validated on 28 sector and thematic exchange-traded funds (ETFs) over a 51-month out-of-sample period from January 2022 to March 2026. The PPT-MCDM portfolio achieves an annualized return of 11.99% with a Sharpe ratio of 0.589 and maximum drawdown of 18.80%, compared to the S&P 500 benchmark delivering 9.16% return, Sharpe ratio of 0.391, and maximum drawdown of 20.25%. An ablation study confirms that Transformer predictions improve the Sharpe ratio by 39.9% relative to using only observed backward-looking criteria. The main contributions of this work are three-fold: first, the development of a two-stage framework integrating deep learning forecasting with interpretable MCDM-based portfolio ranking; second, the first application of PPT-MCDM method to dynamic portfolio optimization with expanding-window retraining; third, empirical evidence that the framework outperforms the S&P 500 on both return and risk-adjusted metrics during a period encompassing both bear and bull market conditions.

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Publication Details

Journal
Mathematics
Published
2026-06-27
DOI
https://doi.org/10.3390/math14132287
Primary Topic
Stock Market Forecasting Methods
Type
article
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article

Dynamic Multi-Criteria Portfolio Selection Integrating Transformer-Based Financial Forecasting with Peer-Prediction Trees

Chongwu Xia, Zhiyuan Wang, Yang Li, Poh Ling Neo et al.
Mathematics
Stock Market Forecasting Methods
article

Dynamic Multi-Criteria Portfolio Selection Integrating Transformer-Based Financial Forecasting with Peer-Prediction Trees

Chongwu Xia, Zhiyuan Wang, Yang Li, Poh Ling Neo, Ding Ding
article en

Abstract

Portfolio optimization demands simultaneous consideration of multiple conflicting criteria under uncertainty, yet prevailing approaches either rely on some black-box machine learning (ML) models that sacrifice interpretability or employ classical multi-criteria decision-making (MCDM) methods lacking predictive foresight. This paper proposes a two-stage framework integrating a Transformer encoder for multi-output financial forecasting with the Peer-Prediction Trees for MCDM (PPT-MCDM) method for dynamic asset ranking and portfolio construction. The Transformer generates forward-looking predictions of next-period return, volatility, and maximum drawdown, while PPT-MCDM ranks assets by their excess performance index (EPI), measuring how much each asset’s multi-criteria profile exceeds data-driven peer expectations. The framework is validated on 28 sector and thematic exchange-traded funds (ETFs) over a 51-month out-of-sample period from January 2022 to March 2026. The PPT-MCDM portfolio achieves an annualized return of 11.99% with a Sharpe ratio of 0.589 and maximum drawdown of 18.80%, compared to the S&P 500 benchmark delivering 9.16% return, Sharpe ratio of 0.391, and maximum drawdown of 20.25%. An ablation study confirms that Transformer predictions improve the Sharpe ratio by 39.9% relative to using only observed backward-looking criteria. The main contributions of this work are three-fold: first, the development of a two-stage framework integrating deep learning forecasting with interpretable MCDM-based portfolio ranking; second, the first application of PPT-MCDM method to dynamic portfolio optimization with expanding-window retraining; third, empirical evidence that the framework outperforms the S&P 500 on both return and risk-adjusted metrics during a period encompassing both bear and bull market conditions.

MathematicsVol. 14(13)
Singapore University of Social Sciences (SG)
Openalex Percentile: Top 3%
Stock Market Forecasting Methods
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