Conformal-AEDL: Uncertainty-Calibrated Neuro-Symbolic Multiagent Causal Inference for Non-Stationary Time Series
DOI:
https://doi.org/10.54097/49f82931Keywords:
Adaptive conformal inference, causal attribution, concept drift, multiagent systems, neuro-symbolic artificial intelligence, non-stationary time series, uncertainty calibrationAbstract
Event-driven causal labeling in non-stationary time series is useful only when the system can state when its own root-cause decision is ambiguous. Existing neuro-symbolic multiagent pipelines improve semantic and structural consistency, but their confidence scores need not retain a stable error meaning after regime changes. This paper presents Conformal-AEDL, a resource-efficient extension that couples heterogeneous residual and propagation agents with reliability-weighted consensus, an explicit symbolic compliance layer, and online conformal prediction sets. The method outputs a set of plausible root causes rather than forcing a singleton, and adapts the conformal error budget when score surprises indicate rapid drift. Evaluation uses a nonlinear six-node structural causal model with four regimes and a semi-synthetic U.S. macroeconomic benchmark whose dynamics and residuals are estimated from 203 public quarterly observations while intervention labels remain controlled. Across ten seeds, Conformal-AEDL attains 0.929±0.022 and 0.917±0.029 coverage at a nominal 0.90 level, with average set sizes of 1.186 and 1.890. Relative to static split conformal prediction, this reduces set size by 26.0% and 29.5%, respectively. The results show that calibrated abstention can be added without inventing causal ground truth or relying on proprietary language-model calls, while also exposing an important limitation: immediate post-switch coverage remains difficult in the macro benchmark.
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[1] Xu, C., & Xie, Y. (2021). Conformal prediction interval for dynamic time-series. In Proceedings of the 38th International Conference on Machine Learning (Vol. 139, pp. 11559–11569). PMLR. https://proceedings.mlr.press/v139/xu21a.html
[2] Vovk, V., Gammerman, A., & Shafer, G. (2005). Algorithmic learning in a random world. Springer.
[3] Lei, J., G’Sell, M., Rinaldo, A., Tibshirani, R. J., & Wasserman, L. (2018). Distribution-free predictive inference for regression. Journal of the American Statistical Association, 113(523), 1094–1111. https://doi.org/10.1080/01621459.2017.1307116
[4] Angelopoulos, A. N., & Bates, S. (2023). A gentle introduction to conformal prediction and distribution-free uncertainty quantification. Foundations and Trends in Machine Learning, 16(4), 494–591. https://doi.org/10.1561/2200000087
[5] Gibbs, I., & Candès, E. J. (2021). Adaptive conformal inference under distribution shift. In Advances in Neural Information Processing Systems (Vol. 34, pp. 1660–1672). https://proceedings.neurips.cc/paper_files/paper/2021/hash/0d34c075d570a8b8501f60a41b4b439c-Abstract.html
[6] Gibbs, I., & Candès, E. J. (2024). Conformal inference for online prediction with arbitrary distribution shifts. Journal of Machine Learning Research, 25(162), 1–36. https://jmlr.org/papers/v25/23-0602.html
[7] Barber, R. F., Candès, E. J., Ramdas, A., & Tibshirani, R. J. (2023). Conformal prediction beyond exchangeability. The Annals of Statistics, 51(2), 816–845. https://doi.org/10.1214/22-AOS2247
[8] Tibshirani, R. J., Barber, R. F., Candès, E. J., & Ramdas, A. (2019). Conformal prediction under covariate shift. In Advances in Neural Information Processing Systems (Vol. 32).
[9] Romano, Y., Patterson, E., & Candès, E. J. (2019). Conformalized quantile regression. In Advances in Neural Information Processing Systems (Vol. 32).
[10] Stankeviciute, K., Alaa, A. M., & van der Schaar, M. (2021). Conformal time-series forecasting. In Advances in Neural Information Processing Systems (Vol. 34, pp. 6216–6228). https://proceedings.neurips.cc/paper_files/paper/2021/hash/2e826cf00b72724b14f7d3c3b14d3f30-Abstract.html
[11] Liang, Y., Jiao, Y., Ping, W., Fan, H., & Han, X. (2026). Adaptive event-driven labeling: A neuro-symbolic multiagent framework for causal inference in non-stationary time series. IEEE Access, 14, 58741–58752. https://doi.org/10.1109/ACCESS.2026.3709267
[12] Zaffran, M., Féron, O., Goude, Y., Josse, J., & Dieuleveut, A. (2022). Adaptive conformal predictions for time series. In Proceedings of the 39th International Conference on Machine Learning (Vol. 162, pp. 25834–25866). PMLR. https://proceedings.mlr.press/v162/zaffran22a.html
[13] Granger, C. W. J. (1969). Investigating causal relations by econometric models and cross-spectral methods. Econometrica, 37(3), 424–438. https://doi.org/10.2307/1912791
[14] Pearl, J. (2009). Causality: Models, reasoning, and inference (2nd ed.). Cambridge University Press.
[15] Peters, J., Janzing, D., & Schölkopf, B. (2017). Elements of causal inference: Foundations and learning algorithms. MIT Press.
[16] Runge, J., et al. (2019). Detecting and quantifying causal associations in large nonlinear time series datasets. Science Advances, 5(11), eaau4996. https://doi.org/10.1126/sciadv.aau4996
[17] Zheng, X., Aragam, B., Ravikumar, P. K., & Xing, E. P. (2018). DAGs with NO TEARS: Continuous optimization for structure learning. In Advances in Neural Information Processing Systems (Vol. 31).
[18] Pamfil, R., et al. (2020). DYNOTEARS: Structure learning from time-series data. In Proceedings of the AISTATS (Vol. 108, pp. 1595–1605). PMLR.
[19] Peters, J., Janzing, D., & Schölkopf, B. (2013). Causal inference on time series using restricted structural equation models. In Advances in Neural Information Processing Systems (Vol. 26).
[20] Zi, B. (2024). Cloud-native distributed systems for real-time payment intelligence. AI and Data Science Journal, 1(1), 51–56. Shimizu, S., Hoyer, P. O., Hyvärinen, A., & Kerminen, A. (2010). Learning linear non-Gaussian causal models in the presence of latent variables by exploiting non-Gaussianity. Journal of Machine Learning Research, 11, 1709–1731. https://jmlr.org/papers/v11/shimizu10a.html
[21] Truong, C., Oudre, L., & Vayatis, N. (2020). Selective review of offline change point detection methods. Signal Processing, 167, 107299. https://doi.org/10.1016/j.sigpro.2019.107299
[22] Page, E. S. (1954). Continuous inspection schemes. Biometrika, 41(1–2), 100–115. https://doi.org/10.1093/biomet/41.1-2.100
[23] Shinn, N., et al. (2023). Reflexion: Language agents with verbal reinforcement learning. In Advances in Neural Information Processing Systems (Vol. 36, pp. 8634–8652).
[24] Du, Y., Li, S., Torralba, A., Tenenbaum, J. B., & Mordatch, I. (2024). Improving factuality and reasoning in language models through multiagent debate. In Proceedings of the 41st International Conference on Machine Learning (Vol. 235, pp. 11733–11763). PMLR.
[25] d’Avila Garcez, A., & Lamb, L. C. (2023). Neurosymbolic AI: The 3rd wave. Artificial Intelligence Review, 56, 12387–12406. https://doi.org/10.1007/s10462-023-10442-6
[26] Guo, C., Pleiss, G., Sun, Y., & Weinberger, K. Q. (2017). On calibration of modern neural networks. In Proceedings of the 34th International Conference on Machine Learning (Vol. 70, pp. 1321–1330). PMLR.
[27] Hoerl, A. E., & Kennard, R. W. (1970). Ridge regression: Biased estimation for nonorthogonal problems. Technometrics, 12(1), 55–67. https://doi.org/10.1080/00401706.1970.1048863
[28] Lütkepohl, H. (2005). New introduction to multiple time series analysis. Springer.
[29] Pedregosa, F., et al. (2011). Scikit-learn: Machine learning in Python. Journal of Machine Learning Research, 12, 2825–2830. https://jmlr.org/papers/v12/pedregosa11a.html
[30] Teng, D. (2025). TEAS: Token- and energy-aware autoscaling for cost-efficient LLM serving. AI and Data Science Journal.
[31] Seabold, S., & Perktold, J. (2010). Statsmodels: Econometric and statistical modeling with Python. In Proceedings of the 9th Python in Science Conference (pp. 92–96).
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