Title
Fast Computation of Posterior Mode in Multi-Level Hierarchical Models
Abstract
Multi-level hierarchical models provide an attractive framework for incorporating correlations induced in a response variable organized in a hierarchy. Model fitting is challenging, especially for hierarchies with large number of nodes. We provide a novel algorithm based on a multi-scale Kalman filter that is both scalable and easy to implement. For non-Gaussian responses, quadratic approximation to the log-likelihood results in biased estimates. We suggest a bootstrap strategy to correct such biases. Our method is illustrated through simulation studies and analyses of real world data sets in health care and online advertising.
Year
Venue
Keywords
2008
NIPS
hierarchical model
Field
DocType
Citations 
Mathematical optimization,Data set,Computer science,Laplace's method,Kalman filter,Parametric statistics,Gaussian,Artificial intelligence,Estimation theory,Machine learning,Bootstrapping (electronics),Computation
Conference
7
PageRank 
References 
Authors
0.93
3
2
Name
Order
Citations
PageRank
Liang Zhang113810.45
Deepak Agarwal2113.05