Curriculum Learning

  • Formal Mathematics Statement Curriculum Learning
  • neural theorem prover using GPT-f
  • solve a curriculum of increasingly difficult problems out of a set of formal statements of sufficiently varied difficulty
  • high-school Math Olympiad problems
  • language model to find proofs of formal statements
  • formal mathematics
  • at same compute budget, expert iteration, by which they mean proof search interleaved with learning, dramatically outperforms proof search only
  • expert iteration is capable of finding and solving a curriculum of increasingly difficult problems, without the need for associated ground-truth proofs
  • miniF2F
  • automatically solving multiple challenging problems drawn from high school olympiads
  • lack of self-play in the formal mathematics setup can be effectively compensated for by automatically as well as manually curated sets of formal statement
  • cheaper to formalize than full proofs