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Paper · arXiv

Topological Data Analysis for High-Dimensional Dynamic Process Monitoring

Real-time process monitoring requires methods that extract actionable information from high-dimensional time-series data. In this work, we present a new approach for process monitoring that combines tools of topological data analysis (TDA) and machine learning. In the proposed approach, we represent multivariate time-series data as manifolds and use topological descriptors to summarize the structure of such data; we then use a neural ordinary differential equation to learn the dynamic evolution of the topological structure of the system. Using real data from an industrial process, we show that this trajectory-based event detection approach is effective at detecting diverse types of events...

AuthorsAngan Mukherjee, Tyler A. Soderstrom, Michael J. Kurtz et al.
Primary categoryeess.SY
Published18 June 2026
Last updated at source18 June 2026
eess.SYcs.LGmath.AT
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