Estimation of Multivariate Binary Density Using Orthonormal Functions.

1986 ◽  
Author(s):  
X. R. Chen ◽  
P. R. Krishnaiah ◽  
W. Q. Liang
Keyword(s):  
Binary Density

scholarly journals Tractable Multivariate Binary Density Estimation and the Restricted Boltzmann Forest

2010 ◽  
Vol 22 (9) ◽  
pp. 2285-2307 ◽  
Author(s):  
Hugo Larochelle ◽  
Yoshua Bengio ◽  
Joseph Turian
Keyword(s):  
Density Estimation ◽  
Binary Data ◽  
Mixture Modeling ◽  
Data Sets ◽  
Boltzmann Machine ◽  
Binary Variables ◽  
Multivariate Binary Data ◽  
Hidden Layer ◽  
Binary Density ◽  
Density Modeling

We investigate the problem of estimating the density function of multivariate binary data. In particular, we focus on models for which computing the estimated probability of any data point is tractable. In such a setting, previous work has mostly concentrated on mixture modeling approaches. We argue that for the problem of tractable density estimation, the restricted Boltzmann machine (RBM) provides a competitive framework for multivariate binary density modeling. With this in mind, we also generalize the RBM framework and present the restricted Boltzmann forest (RBForest), which replaces the binary variables in the hidden layer of RBMs with groups of tree-structured binary variables. This extension allows us to obtain models that have more modeling capacity but remain tractable. In experiments on several data sets, we demonstrate the competitiveness of this approach and study some of its properties.

scholarly journals Nonparametric iterative estimation of multivariate binary density

1985 ◽  
Vol 16 (1) ◽  
pp. 162-172 ◽  
Author(s):  
Wen-Qi Liang ◽  
P.R. Krishnaiah
Keyword(s):  
Iterative Estimation ◽  
Binary Density

Separation characteristics of centrifugal fluidized separator using binary density system

2019 ◽  
pp. 1-8 ◽  
Author(s):  
Ranjeet Kumar Singh ◽  
Kisor Kumar Sahu ◽  
Ganesh Chalavadi ◽  
Ratnakar Singh ◽  
N. P. H. Padmanabhan
Keyword(s):  
Binary Density

scholarly journals Estimation of multivariate binary density using orthogonal functions

1989 ◽  
Vol 31 (2) ◽  
pp. 178-186 ◽  
Author(s):  
X.R. Chen ◽  
P.R. Krishnaiah ◽  
W.W. Liang
Keyword(s):  
Orthogonal Functions ◽  
Binary Density
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