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math.ST2026
A ridgeline correspondence criterion: the number of modes of a Gaussian mixture is finite
Carlos Améndola, Jose Israel Rodriguez
We prove that every finite multivariate Gaussian mixture density has only finitely many modes. Our approach combines an algebraic formulation of the ridgeline theory of Ray and Lin…
math.ST2019
Autocovariance Varieties of Moving Average Random Fields
Carlos Améndola, Viet Son Pham
We study the autocovariance functions of moving average random fields over the integer lattice from an algebraic perspective. These autocovariances are parametrized…