Jul 2026· Journal of Mathematical Finance and Risk Management· Vol 1, pp. 20-26· 0 citations· 31 references
TL;DR
A regime-aware conformal calibration rule is introduced that computes horizon-specific volatility-normalized residual quantiles inside low-volatility regimes, while retaining a global conformal safety floor to avoid under-coverage when local volatility scaling becomes too optimistic.
Abstract
Financial forecasting systems deployed in portfolio monitoring and risk control require not only point forecasts, but also prediction intervals that remain meaningful when markets change volatility regimes. This paper proposes a Regime-Aware Conformal Transformer (RACT) for multi-horizon financial forecasting under market uncertainty. The model combines a compact Transformer encoder with asset and volatility-regime tokens, producing simultaneous return forecasts for 1-, 2-, 4-, and 8-week horizons. To quantify uncertainty, we introduce a regime-aware conformal calibration rule that computes horizon-specific volatility-normalized residual quantiles inside low-, medium-, and high-volatility regimes, while retaining a global conformal safety floor to avoid under-coverage when local volatility scaling becomes too optimistic. The resulting interval construction is conservative, causally ordered, and easy to reproduce. Experiments use the real Plotly Express stocks dataset containing weekly normalized closing prices for six technology stocks in 2018/2019. On this compact public dataset, RACT with regime-aware conformal calibration achieves 98.3% average empirical coverage at a 90% nominal level and improves 8-week coverage from 76.5% for pure volatility-scaled conformal calibration to 94.6%, at the cost of wider intervals. The results show that regime-aware conformal envelopes can materially improve long-horizon reliability, although they should be validated on larger trading datasets before production deployment.
This framework offers a scalable and adaptive engineering blueprint for automated market timing across diverse equity markets, outperforming reference indices on the Dow 30, S&P 100, and NASDAQ 100 and securing top ranks in cumulative return, Sharpe, and Calmar ratios.
Tung-Liang Chen, Jyh-Shing Roger Jang· IEEE Access· 0 citations
Financial markets are challenging to navigate due to changing regimes, high volatility, and unpredictable investor behavior, often leading to model misspecification in classical stationary frameworks like Moving Average (MA) and Autoregressive (AR) models. To address this, we propose an uncertainty-aware framework that...
A. Verma, Arti M. K., Surjeet Kumar· International Conference Com...· 0 citations
This paper proposes RG-ResMoE, a regime-gated residual mixture-of-experts architecture in which regime information is used only for expert routing rather than for direct forecasting, which consistently outperforms a capacity-matched MLP in both forecasting accuracy and training stability in the main U.S. study.
FreqCast is proposed, which combines a market-conditioned spectral decomposition, a structured state-space branch for the component designated low-frequency, causal multiscale encoders for the components designated intermediate- and high-frequency, and a horizon-conditioned reliability gate, which fuse four cumulative-...
A Transformer-GAN enhanced Black–Litterman framework that integrates temporal representation learning, uncertainty-aware scenario generation, and Bayesian portfolio optimization is proposed that improves risk-adjusted portfolio performance while maintaining robustness against market uncertainty.
PGA-Trans-HAR is developed, a neuro-econometric architecture that combines a rolling ridge-VAR/GFEVD predictive-connectedness network, masked spatio-temporal attention, and a frozen HAR anchor to improve multi-market volatility forecasts in asynchronous financial environments.
Xin-Lin Zhao, Hao-Tian Qiao· 0 citations
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