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.
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The Topological Stability Index: A Variance-Based Measure for Persistence Barcodes
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.