The claimed stability bound d_B ≤ 1/2 (s_max - s_min) diam(X) is false; the paper's own setup gives a counterexample where the bound is off by a factor of two.
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The Stability of Persistence Diagrams Under Non-Uniform Scaling
The claimed stability bound d_B ≤ 1/2 (s_max - s_min) diam(X) is false; the paper's own setup gives a counterexample where the bound is off by a factor of two.