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Table 1:
Results of Estimating Partition Functions of an RBM, One Fully Connected BM, and Two DBM Models, Along with the Estimates of the Lower Bound on the Average Training and Test Log Probabilities.
EstimatesAverage Log Probability
TestTrain
RBM 390.76 390.56, 390.92 −86.90 −84.67 
Flat BM 198.29 198.17, 198.40 −84.67 −84.35 
2-layer BM 356.18 356.06, 356.29 −84.62 −83.61 
3-layer BM 456.57 456.34, 456.75 −85.10 −84.49 
EstimatesAverage Log Probability
TestTrain
RBM 390.76 390.56, 390.92 −86.90 −84.67 
Flat BM 198.29 198.17, 198.40 −84.67 −84.35 
2-layer BM 356.18 356.06, 356.29 −84.62 −83.61 
3-layer BM 456.57 456.34, 456.75 −85.10 −84.49 

Notes: For all BMs we used 20,000 intermediate distributions. Results were averaged over 100 AIS runs.

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