Title
A Study Of Recently Discovered Equalities About Latent Tree Models Using Inverse Edges
Abstract
Interesting equalities have recently been discovered about latent tree models. They relate distributions of two or three observed variables with joint distributions of four or more observed variables, and with model parameters that depend on latent variables. The equations are derived by using matrix and tensor decompositions. This paper sheds new light on the equalities by offering an alternative derivation in terms of variable elimination and structure manipulations. The key technique is the introduction of inverse edges.
Year
DOI
Venue
2014
10.1007/978-3-319-11433-0_37
PROBABILISTIC GRAPHICAL MODELS
Keywords
Field
DocType
Matrix decomposition, parameter estimation, latent tree models
Applied mathematics,Tensor,Matrix (mathematics),Latent variable,Artificial intelligence,Estimation theory,Discrete mathematics,Inverse,Variable elimination,Joint probability distribution,Pattern recognition,Matrix decomposition,Mathematics
Conference
Volume
ISSN
Citations 
8754
0302-9743
1
PageRank 
References 
Authors
0.39
7
3
Name
Order
Citations
PageRank
Nevin Lianwen Zhang1161.35
Xiaofei Wang210.39
Peixian Chen3241.96