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Ranking Viscous Finger Simulations to an Acquired Ground Truth with Topology-aware Matchings
Different metrics, based on optimal transport, for comparing time-varying persistence diagrams in this specific applicative case are introduced.
Topologically Controlled Lossy Compression
However, in many scenarios it is desirable to control in a similar way the preservation of higher-level notions, such as topological features , in order to provide guarantees on the outcome of post-hoc data analyses.
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