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Interdisciplinary Science

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Interdisciplinary Science

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Research Frontiers in Topological Data Analysis in Complex Systems

Applies topological mathematical methods to extract meaningful patterns from high-dimensional datasets in diverse scientific domains.

Persistent Homology in Turbulent Flow Networks
Topological Signatures of Phase Transitions Across Scales
Mapper Algorithms for Hidden Organizational Principles
Barcodes of Biological Self-Assembly and Pattern Formation
Topological Data Analysis in Climate System Tipping Points
Persistent Cycles in Brain Network Criticality and Dysfunction
Higher-Order Topology in Ecological Network Resilience
Barcode Stability Under Noise in Real-World Systems
Topological Structures in Protein Folding Landscapes
Multiparameter Persistence in Socioeconomic and Epidemic Models

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