Mixture models based on homogeneous polynomials
نویسندگان
چکیده
منابع مشابه
models based on homogeneous polynomialsNorman
Models for mixtures of ingredients are typically tted by Schee e's canonical model forms. An alternative representation is discussed which ooers attractive symmetries, compact notation and homogeneous model functions. It is based on the Kronecker algebra of vectors and matrices, used successfully in previous response surface work. These alternative polynomials are contrasted with those of Schee...
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Mixture modeling is a general technique for making any simple model more expressive through weighted combination. This generality and simplicity in part explains the success of the Expectation Maximization (EM) algorithm, in which updates are easy to derive for a wide class of mixture models. However, the likelihood of a mixture model is non-convex, so EM has no known global convergence guarant...
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Let z = (z1, · · · , zn) and ∆ = ∑n i=1 ∂ 2 ∂z i the Laplace operator. A formal power series P (z) is said to be Hessian Nilpotent(HN) if its Hessian matrix HesP (z) = ( ∂ 2 P ∂zi∂zj ) is nilpotent. In recent developments in [BE1], [M] and [Z], the Jacobian conjecture has been reduced to the following so-called vanishing conjecture(VC) of HN polynomials: for any homogeneous HN polynomial P (z) ...
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ژورنال
عنوان ژورنال: Journal of Statistical Planning and Inference
سال: 1998
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(98)00012-3