A new 0-persistence exponent derived from persistent homology quantifies chaos with proven stability and non-negativity when Lyapunov exponents are positive.
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Introduces and proves stability for a persistent homology-based bi-conditional periodicity score for pairwise time series similarity.
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A Stable Measure of Chaos in Dynamical Systems using Persistent Homology
A new 0-persistence exponent derived from persistent homology quantifies chaos with proven stability and non-negativity when Lyapunov exponents are positive.
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A Stable Measure of Similarity for Time Series using Persistent Homology
Introduces and proves stability for a persistent homology-based bi-conditional periodicity score for pairwise time series similarity.