Performance-Driven Causal Signal Engineering for Financial Markets under Non-Stationarity
Abstract
We introduce a performance-driven framework for constructing strictly causal forward-oriented observables in strongly non-stationary time series. The method combines a robustly normalized composite of heterogeneous indicators with a causally computed derivative component, yielding a local phase-leading effect that is amplified near regime transitions while remaining fully causal. A hysteresis-based decision functional maps the observable into discrete system states, with execution delayed by one step to preserve strict temporal ordering. Adaptation is achieved through a walk-forward scheme, in which model parameters are selected using rolling train–validation windows and subsequently applied out-of-sample. In this setting, the validation segment acts as an internal performance screen rather than as a statistical validation set, and no claims of generalization are inferred from it alone. The framework is evaluated on high-frequency financial time series as an experimentally accessible realization of a non-stationary complex system. Under a controlled zero-cost setting, the resulting dynamics exhibit a pronounced risk-reshaping effect, characterized by smoother trajectories and reduced drawdowns relative to direct exposure, and should be interpreted as an upper bound on achievable performance. These results illustrate how causal signal engineering can generate anticipatory structure in non-stationary systems without relying on non-causal information, explicit horizon labeling, or high-capacity predictive models.
Keywords:
Non-stationary systems, Causal observables, Financial market dynamics, Regime transitions, Walk-forward selection, Decision functionalsReferences
- [1] Lunde, A., & Timmermann, A. (2004). Duration dependence in stock prices. Journal of business & economic statistics, 22(3), 253–273. https://doi.org/10.1198/073500104000000136
- [2] Hardiman, S. J., Bercot, N., & Bouchaud, J.-P. (2013). Critical reflexivity in financial markets: A Hawkes process analysis. The european physical journal b, 86(10), 442. https://doi.org/10.1140/epjb/e2013-40107-3
- [3] Papana, A.Yrtsou, C., Kugiumtzis, D., & Diks, C. (2016). Detecting causality in non-stationary time series using partial symbolic transfer entropy: Evidence in financial data. Computational economics, 47(3), 341–365. https://doi.org/10.1007/s10614-015-9491-x
- [4] Sionkowski, P., Bełdowski, P., Kruszewska, N., Weber, P., Marciniak, B., & Domino, K. (2022). Effect of ion and binding site on the conformation of chosen glycosaminoglycans at the albumin surface. Entropy, 24(6), 811. https://doi.org/10.3390/e24060811
- [5] Sadeghi, A., Gopal, A., & Fesanghary, M. (2025). Causal discovery from nonstationary time series. International journal of data science and analytics, 19(1), 33–59. https://doi.org/10.1007/s41060-024-00679-7
- [6] Moreno-Pino, F., & Zohren, S. (2024). DeepVol: Volatility forecasting from high-frequency data with dilated causal convolutions. Quantitative finance, 24(8), 1105–1127. https://doi.org/10.1080/14697688.2024.2387222
- [7] Jaisson, T. (2022). Deep differentiable reinforcement learning and optimal trading. Quantitative finance, 22, 1429–1443. https://doi.org/10.1080/14697688.2022.2062431
- [8] Buhler, H., Gonon, L., Teichmann, J., & Wood, B. (2018). Deep hedging. Quantitative finance, 19, 1271–1291. https://doi.org/10.1080/14697688.2019.1571683
- [9] Arian, H., Mobarekeh, D. N., & Seco, L. (2024). Backtest overfitting in the machine learning era: A comparison of out-of-sample testing methods in a synthetic controlled environment. Knowledge-Based Systems, 305, 112477. https://api.semanticscholar.org/CorpusID:281092860
- [10] Stübinger, J. (2018). Statistical arbitrage with optimal causal paths on high-frequency data of the S&P 500. Quantitative finance, 19, 921–935. https://doi.org/10.1080/14697688.2018.1537503
- [11] Nystrup, P., Madsen, H., & Lindström, E. (2016). Dynamic Portfolio optimization across hidden market regimes. Quantitative finance, 18, 83–95. https://doi.org/10.1080/14697688.2017.1342857
- [12] Souza, L. A. (2025). Forward-oriented causal observables for non-stationary financial markets. arXiv preprint arXiv:2512.24621. https://doi.org/10.48550/arXiv.2512.24621
- [13] Tunnicliffe Wilson, G. (2016). Time series analysis: Forecasting and Control, Journal of time series analysis, 37. https://doi.org/10.1111/jtsa.12194
- [14] Hamilton, J. D. (1994). Time series analysis. Princeton University Press. https://doi.org/10.2307/j.ctv14jx6sm
- [15] Pagan, A. R., & Sossounov, K. A. (2003). A simple framework for analysing bull and bear markets. Journal of applied econometrics, 18(1), 23-46. https://doi.org/10.1002/jae.664
- [16] Binance. (2026). Changelog for Binance’s API. https://developers.binance.com/docs/binance-spot-api-docs
- [17] Christensen, K., Oomen, R. C. A., & Podolskij, M. (2014). Fact or friction: Jumps at ultra high frequency. Journal of financial economics, 114(3), 576–599. https://doi.org/10.1016/j.jfineco.2014.07.007
- [18] Easley, D., Yang, S., & Zhang, Z. (2024). Microstructure and market dynamics in Crypto Markets. https://doi.org/10.2139/ssrn.4814346
- [19] De Blasis, R., & Webb, A. (2022). Arbitrage, contract design, and market structure in Bitcoin futures markets. Journal of futures markets, 42, 492–524. https://doi.org/10.1002/fut.22305
- [20] Stefaniuk, F., & Ślepaczuk, R. (2025). Informer in algorithmic investment strategies on high frequency bitcoin data. arXiv preprint arXiv:2503.18096. https://doi.org/10.48550/arXiv.2503.18096
- [21] Bacon, C. R. (2021). Practical risk-adjusted performance measurement. Wiley. https://www.abebooks.com/Practical-Risk-Adjusted-Performance-Measurement-Bacon-Carl/31029014492/bd
- [22] Appel, G. (1985). The moving average convergence-divergence trading method. Trade republic. https://openlibrary.org/books/OL9438619M
- [23] Murphy, J. J. (1999). Technical analysis of the financial markets: A comprehensive guide to trading methods and applications. Penguin Publishing Group. https://books.google.nl/books?id=5zhXEqdr_IcC
- [24] Wilder, J. W. (1978). New concepts in technical trading systems. Trend research. https://books.google.nl/books?id=WesJAQAAMAAJ
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