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Unconditional Finiteness of the Number of Critical Points of Gaussian Mixture Densities

Akifumi Okuno

Source record

Source: arXiv

Published: Aug 31, 2026

arXiv: 2608.30334

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Source abstract

By slightly adapting Wang's recent important argument for the homoscedastic setting, we prove that every finite heteroscedastic Gaussian mixture has only finitely many critical points, and, consequently, only finitely many modes.

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