topology-benchmark-review

To validate persistence diagrams, compare your topological results against published benchmarks and internal validation tables to ensure the diagram counts, scaling, and overall plausibility are accurate.

Checking W2 and landscape distance direction involves verifying the metric direction against internal validation data to confirm your topological analysis results are plausible and accurately oriented.

You need to validate topological results before using them in a paper or as input data when you must ensure the persistence diagrams align with external benchmarks and pass internal sanity checks.

Yes, you can use benchmark validation to confirm topological regime detection results by replicating and checking the persistence diagrams across different eras or cohorts for consistency.

Performing sanity checks on persistence diagrams requires assessing the plausibility of the diagram counts and scaling by comparing your topological results against established validation tables.