AI RESEARCH
A Unified Framework for Structured Flow Modeling: From Continuous Fields to Data-Driven Representations
arXiv CS.LG
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ArXi:2605.18250v1 Announce Type: cross Many dynamical systems can be described in terms of structured flows combining source/sink behavior, cyclic dynamics, and topology-constrained transport. These features arise across a wide range of domains, including physical, engineered, and data-driven systems. This work provides a unified perspective on such systems by connecting continuous formulations based on the Helmholtz-Hodge decomposition with discrete and data-driven representations.