Towards universal neural nets: Gibbs machines and ACE

Autor: Georgiev, Galin
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: We study from a physics viewpoint a class of generative neural nets, Gibbs machines, designed for gradual learning. While including variational auto-encoders, they offer a broader universal platform for incrementally adding newly learned features, including physical symmetries. Their direct connection to statistical physics and information geometry is established. A variational Pythagorean theorem justifies invoking the exponential/Gibbs class of probabilities for creating brand new objects. Combining these nets with classifiers, gives rise to a brand of universal generative neural nets - stochastic auto-classifier-encoders (ACE). ACE have state-of-the-art performance in their class, both for classification and density estimation for the MNIST data set.
Comment: v5: added thermodynamic identities and variational error estimation; expanded references
Databáze: arXiv