PLACE delivers a closed-form certified classification method for point clouds and graphs based on persistent homology with explicit excess-risk bounds, selection rules, and training-time certificates.
A survey of vectorization methods in topological data analysis
3 Pith papers cite this work. Polarity classification is still indexing.
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Introduces variance-based TSI for persistence barcodes, defines scale-invariant cvTSI as an affine function of Rényi-2 collision probability, and shows complementary behavior to entropy on synthetic and time-series data.
Persistent homology analysis found no significant differences in fibrin network topology across the perioperative period or between standard and intervention groups in oesophageal cancer patients.
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Persistent Homology as a Morphological Signature of Fibrin Networks
Persistent homology analysis found no significant differences in fibrin network topology across the perioperative period or between standard and intervention groups in oesophageal cancer patients.