Computational Topology for Data

Computational Topology for Data

When Wasserstein Distances Deceive: Landscape Mismatches in Topological Summaries

I watched a staff burn two months chasing a false signal. They had computed persistence landscape from lone-cell RNA data, then used Wasserstein dista...

Computational Topology for Data

Choosing a Filtration That Doesn't Collapse Your Meaningful Loops

Persistent homology is a beautiful lens for data—but only if the filtra you choose doesn't crush the very structure you're after. Pick off, and your p...