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The published sources this package implements, and the shorthand keys used to cite them in help pages and source comments. A key stands in for the work itself, so andreou2026aci eq. 7 means equation 7 of the first entry below, and moser2026extremes Appendix A means Appendix A of the fourth.

Details

The andreou2026aci, andreou2026cir, and jiang2026enkbs papers have associated MATLAB code, which the R implementation uses wherever possible. Material attributed to moser2026extremes is implemented from the equations alone and carries no claim of replaying any published reference run.

andreou2026aci

Andreou, M., Chen, N. and Bollt, E. (2026). Assimilative causal inference. Nature Communications 17, 1854. doi:10.1038/s41467-026-68568-0 Code: https://github.com/marandmath/ACI_code.

andreou2026cir

Andreou, M. and Chen, N. (2026). Bridging prediction and attribution: identifying forward and backward causal influence ranges using assimilative causal inference. arXiv:2510.21889v2, 4 August 2026. doi:10.48550/arXiv.2510.21889 . Code: https://github.com/marandmath/FBCIR_code.

jiang2026enkbs

Jiang, Andreou, Reich and Chen (2026). A continuous-time ensemble Kalman-Bucy smoother for causal inference and model discovery. arXiv:2604.25157. doi:10.48550/arXiv.2604.25157 . Code: https://github.com/jiangzh67/EnKBS.

moser2026extremes

Moser, Chen and Andreou (2026). Mechanisms and pathways of extreme events in partially-observed stochastic dynamical systems. arXiv:2605.22692. doi:10.48550/arXiv.2605.22692

andreou2026smoother

Andreou, M., Chen, N. and Li, Y. (2026). An adaptive online smoother with closed-form solutions and information-theoretic lag selection for conditional Gaussian nonlinear systems. Journal of Nonlinear Science 36(4), 71. arXiv:2411.05870. doi:10.1007/s00332-026-10271-x .

chen2022enso

Chen, N., Fang, X. and Yu, J.-Y. (2022). A multiscale model for El Nino complexity. npj Climate and Atmospheric Science 5, 16. arXiv:2104.07174.