An Application of Stochastic Context Sensitive Grammar Induction to Transfer Learning

We generalize Solomonoff’s stochastic context-free grammar induction method to context-sensitive grammars, and apply it to transfer learning problem by means of an efficient update algorithm. The stochastic grammar serves as a guiding program distribution which improves future probabilistic induction approximations by learning about the training sequence of problems. Stochastic grammar is updated via extrapolating from the initial grammar and the solution corpus. We introduce a data structure to represent derivations and introduce efficient algorithms to compute an updated grammar which modify production probabilities and add new productions that represent past solutions.