Functional Data Representation with Merge Trees: Topological Analysis of AneuRisk65

Matteo Pegoraro's 2026 figshare dataset provides code and materials for representing functional data using merge trees from algebraic topology. The 21.6 MB release includes TXT, PYC, IPYNB, PDF, PY, and NPY files. It applies the method to the AneuRisk65 dataset to demonstrate robust statistical analysis for misaligned functional data.

Use Cases

• Supervised classification of misaligned functional data based on the topological representation described.
• Comparing topological representations (merge trees vs. persistence diagrams) for functional data analysis as outlined in the supplementary material.
• Developing statistical analyses robust to functional misalignment based on the homeomorphic reparameterization invariance property.
• Benchmarking new methods against results obtained using the Fisher–Rao metric, as referenced in the description.

Strengths

• Includes a 21.6 MB collection of code and supplementary materials in multiple formats (TXT, PYC, IPYNB, PDF, PY, NPY).
• Applies the method to the established AneuRisk65 benchmark dataset for misaligned functional data.
• Released under the permissive CC-BY-4.0 license.
• Last updated on 2026-04 09, indicating recent maintenance.

Limitations

• Row count and column-level documentation are absent; field semantics must be inferred after download.
• The dataset's primary content appears to be code and supplementary materials for a paper, rather than a standalone data table.
• Data may reflect the specific biases inherent to the AneuRisk65 source dataset used for illustration.

Provenance

Source

Matteo Pegoraro via figshare

Collection Method

Likely generated as supplementary materials for a research paper on topological data analysis.

Time Range

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Freshness

Last updated 2026-04-09 21:09:50

Geography

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