arXiv Machine Learning By Yiwei Liu, Luwei Yang, Shunbo Lei

Causal-fate dynamics of unrealized influence

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The paper introduces causal‑fate dynamics, a framework describing how influence generated in a system can be realized, remain latent, or be transformed by later dynamics. It presents an exact finite‑transport representation for these processes and applies the concept to three domains: a connectome‑constrained model of *Caenorhabditis elegans* suggesting unresolved neuronal influence may persist, an analysis of Internet routing showing that cross‑observer history retains predictive power beyond local state, and a Transformer architecture that transports and selectively realizes latent contextual influence while preserving language‑modeling performance. These studies collectively illustrate how unrealized influence can be modeled, observed, and harnessed in computational systems.

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