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Accelerate Training of Restricted Boltzmann Machines via Iterative Conditional Maximum Likelihood Estimation.

Mingqi Wu1, Ye Luo2, Faming Liang3

  • 1Shell, 150 N Dairy Ashford Rd Houston, Texas 77079, USA.

Statistics and Its Interface
|April 16, 2021
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Summary

A new fast algorithm trains Restricted Boltzmann Machines (RBMs) by treating hidden states as missing data. This iterative conditional maximum likelihood method improves RBM training efficiency and convergence over existing approximations.

Keywords:
Collaborative FilteringImputation-Regularized Optimization AlgorithmMissing DataStochastic EM Algorithm

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Area of Science:

  • Machine Learning
  • Artificial Intelligence
  • Computational Statistics

Background:

  • Restricted Boltzmann Machines (RBMs) are widely used for unsupervised feature learning.
  • Training RBMs is challenging due to intractable normalizing constants in their likelihood function.
  • Current methods like contrastive divergence use approximations that are slow and can hinder convergence.

Purpose of the Study:

  • To develop a novel, efficient algorithm for training Restricted Boltzmann Machines.
  • To overcome the limitations of existing gradient approximation methods for RBMs.
  • To address the challenge of intractable normalizing constants in RBM likelihood functions.

Main Methods:

  • Proposed a fast algorithm for RBM training by treating hidden states as missing data.
  • Employed an iterative conditional maximum likelihood estimation approach.
  • Developed an extension to handle missing data within RBM training.

Main Results:

  • The proposed algorithm significantly outperforms contrastive divergence in RBM training speed and convergence.
  • The method effectively avoids the issue of intractable normalizing constants.
  • Demonstrated successful application in drug-target interaction prediction.

Conclusions:

  • The iterative conditional maximum likelihood approach offers a more efficient and robust method for training RBMs.
  • This algorithm provides a substantial improvement over traditional contrastive divergence methods.
  • The extension for handling missing data broadens the applicability of RBMs in real-world scenarios like bioinformatics.