Title
Missing Value Imputation Based on Deep Generative Models.
Abstract
Missing values widely exist in many real-world datasets, which hinders the performing of advanced data analytics. Properly filling these missing values is crucial but challenging, especially when the missing rate is high. Many approaches have been proposed for missing value imputation (MVI), but they are mostly heuristics-based, lacking a principled foundation and do not perform satisfactorily in practice. In this paper, we propose a probabilistic framework based on deep generative models for MVI. Under this framework, imputing the missing entries amounts to seeking a fixed-point solution between two conditional distributions defined on the missing entries and latent variables respectively. These distributions are parameterized by deep neural networks (DNNs) which possess high approximation power and can capture the nonlinear relationships between missing entries and the observed values. The learning of weight parameters of DNNs is performed by maximizing an approximation of the log-likelihood of observed values. We conducted extensive evaluation on 13 datasets and compared with 11 baselines methods, where our methods largely outperforms the baselines.
Year
Venue
Field
2018
arXiv: Learning
Parameterized complexity,Nonlinear system,Conditional probability distribution,Data analysis,Latent variable,Artificial intelligence,Generative grammar,Missing data,Missing value imputation,Machine learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1808.01684
1
PageRank 
References 
Authors
0.37
0
3
Name
Order
Citations
PageRank
Hongbao Zhang131.40
Pengtao Xie233922.63
Bo Xing37332471.43