Title | ||
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A Study Of Recently Discovered Equalities About Latent Tree Models Using Inverse Edges |
Abstract | ||
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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 Zhang | 1 | 16 | 1.35 |
Xiaofei Wang | 2 | 1 | 0.39 |
Peixian Chen | 3 | 24 | 1.96 |