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Details of Grant 

EPSRC Reference: GR/L57586/01
Title: STATISTICAL LEARNING METHODOLOGY IN NEURAL COMPUTING PROBLEMS
Principal Investigator: Titterington, Professor DM
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Statistics
Organisation: University of Glasgow
Scheme: Standard Research (Pre-FEC)
Starts: 01 November 1997 Ends: 31 October 2000 Value (£): 131,032
EPSRC Research Topic Classifications:
Statistics & Appl. Probability
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The project concerns likelihood and Bayesian methods for developing learning rules for models involving hidden variables. Such models are currently popular in neural-computing but are also familiar in the statistical literature. In practice, there are difficulties with standard versions of procedures such as the EM algorithm, and one approximating method is to use Mean-field approximations in the E-step. It is intended to provide theoretical underpinning of such modifications on a more secure footing. It is also proposed to investigate variations on the basic Mean-field approach that should improve the performance and efficiency of the algorithms.Mean-field approximations have also been used to create approximating functions for likelihoods and posterior distributions in some neural-computing contexts. It is proposed to investigate these implementations systematically, to compare their efficacy with competing approximations and to implement the approach in a wider class of statistical problems. In some hidden-variable problems for which maximum likelihood is intractable there exist alternative, inefficient estimators that are easily calculated. It is proposed to investigate the properties of estimators generated from these inefficient ones by a one-stage iterative process.
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Organisation Website: http://www.gla.ac.uk