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Topological Digital Twins: A Reduced-Order Framework for the Analysis and Forecasting of Convective Systems

We propose an exploratory framework based on Topological Digital Twins (TDTs) for the monitoring and short-term forecasting of spatial dynamical systems. The approach represents the system through a reduced state built from topological descriptors obtained via persistent homology. These descriptors...

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Principais autores: Hélène Canot, Philippe Durand, Emmanuel Frenod
Format: Artigo
Sprog:Inglês
Udgivet: MDPI AG 2026-04-01
Serier:Mathematics
Fag:
topological digital twin
persistent homology
cubical complex
data assimilation
stability
Wasserstein distance
Online adgang:https://www.mdpi.com/2227-7390/14/9/1513
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