Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions

被引:7
作者
Guo, Bingni [1 ]
Nie, Jiawang [1 ]
Yang, Zi [1 ]
机构
[1] Univ Calif San Diego, Dept Math, 9500 Gilman Dr, La Jolla, CA 92093 USA
关键词
Gaussian model; Tensor; Decomposition; Generating polynomial; Moments; MAXIMUM-LIKELIHOOD; CONDITION NUMBER; RANK; MATRIX;
D O I
10.1007/s10013-021-00534-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies how to learn parameters in diagonal Gaussian mixture models. The problem can be formulated as computing incomplete symmetric tensor decompositions. We use generating polynomials to compute incomplete symmetric tensor decompositions and approximations. Then the tensor approximation method is used to learn diagonal Gaussian mixture models. We also do the stability analysis. When the first and third order moments are sufficiently accurate, we show that the obtained parameters for the Gaussian mixture models are also highly accurate. Numerical experiments are also provided.
引用
收藏
页码:421 / 446
页数:26
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