Singularities in complete bipartite graph-type Boltzmann machines and upper bounds of stochastic complexities.
Keisuke YamazakiSumio WatanabePublished in: IEEE Trans. Neural Networks (2005)
Keyphrases
- bipartite graph
- boltzmann machines
- upper bound
- partition function
- boltzmann machine
- lower bound
- maximum matching
- learning tasks
- link prediction
- upper and lower bounds
- approximate inference
- maximum cardinality
- undirected graphical models
- lower and upper bounds
- closed form
- markov random field
- worst case
- social networks
- learning algorithm
- random fields
- conditional random fields
- importance sampling
- structured prediction
- special case
- information retrieval
- neural network