Normalized speech spectra treated as PDFs, compared by Wasserstein distance and persistent homology, separate synthetic Japanese vowels (tight clusters) from natural ones (spread).
Differential geometry of smooth families of probability distributions
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Information-Geometric Superposed Vowel Evaluation: Part 1. Moraic Syllabary (Japanese)
Normalized speech spectra treated as PDFs, compared by Wasserstein distance and persistent homology, separate synthetic Japanese vowels (tight clusters) from natural ones (spread).