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Imputation estimators for unnormalized models with missing data
Masatoshi Uehara, Takeru Matsuda, Jae Kwang Kim
Several statistical models are given in the form of unnormalized densities, and calculation of the normalization constant is intractable. We propose estimation methods for such unn…
Unified estimation framework for unnormalized models with statistical efficiency
Masatoshi Uehara, Takafumi Kanamori, Takashi Takenouchi +1
The parameter estimation of unnormalized models is a challenging problem. The maximum likelihood estimation (MLE) is computationally infeasible for these models since normalizing c…
Analysis of Noise Contrastive Estimation from the Perspective of Asymptotic Variance
Masatoshi Uehara, Takeru Matsuda, Fumiyasu Komaki
There are many models, often called unnormalized models, whose normalizing constants are not calculated in closed form. Maximum likelihood estimation is not directly applicable to…