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Square Root Propagation

Andrew Howard; Tony Jebara

Title:
Square Root Propagation
Author(s):
Howard, Andrew
Jebara, Tony
Date:
Type:
Technical reports
Department:
Computer Science
Permanent URL:
Series:
Columbia University Computer Science Technical Reports
Part Number:
CUCS-040-05
Publisher:
Department of Computer Science, Columbia University
Publisher Location:
New York
Abstract:
We propose a message propagation scheme for numerically stable inference in Gaussian graphical models which can otherwise be susceptible to errors caused by finite numerical precision. We adapt square root algorithms, popular in Kalman filtering, to graphs with arbitrary topologies. The method consists of maintaining potentials and generating messages that involve the square root of precision matrices. Combining this with the machinery of the junction tree algorithm leads to an efficient and numerically stable algorithm. Experiments are presented to demonstrate the robustness of the method to numerical errors that can arise in complex learning and inference problems.
Subject(s):
Computer science
Applied mathematics
Item views:
208
Metadata:
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