Using persistence diagrams as transmitted semantic summaries can drastically cut bit rate and improve error robustness for topology-based classification, but the reported rate advantage rests on a self-defined metric.
An outline of a theory of semantic information,
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From Raw Data to Structural Semantics: Trade-offs among Distortion, Rate, and Inference Accuracy
Using persistence diagrams as transmitted semantic summaries can drastically cut bit rate and improve error robustness for topology-based classification, but the reported rate advantage rests on a self-defined metric.