Multidimensional Item Response Theory Models with Collateral Information as Poisson Regression Models

2013 ◽  
Vol 30 (2) ◽  
pp. 276-303
Author(s):  
Carolyn J. Anderson
2021 ◽  
Author(s):  
Gunter Maris ◽  
Timo Bechger

We show that Boltzmann machines can formally be represented as multidimensional item response theory models. This relationship inspired a new learning principle and new ways to regularize Boltzmann machines to make them more interpretable. The core results carry over to a broader class of models including Gaussian-Bernoulli restricted Boltzmann machines.


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