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Bounds on the Number of Modes of a Gaussian Mixture Density

math.ST · 2026-05-15 · unverdicted · novelty 7.0

Explicit upper bounds on nondegenerate critical points of k-component Gaussian mixture densities are given via Pfaffian and algebraic elimination methods, with homoscedastic simplifications and combinatorial lower bounds.

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  • Bounds on the Number of Modes of a Gaussian Mixture Density math.ST · 2026-05-15 · unverdicted · none · ref 7

    Explicit upper bounds on nondegenerate critical points of k-component Gaussian mixture densities are given via Pfaffian and algebraic elimination methods, with homoscedastic simplifications and combinatorial lower bounds.