Math: Generating functions

Machine-learning ideas tagged Generating functions in the Math taxonomy of the Math2NN corpus.

Unverified 2026

Uniform Species Architecture Sampler

Translate a recursive neural architecture grammar into a combinatorial specification and use its generating function to sample architectures uniformly conditional on size. This removes the severe shape and branching biases of naive random tree generation, producing a better-covered architecture-search population at the same evaluation budget.

Useful6/10
Difficulty5/10
Novelty7/10
Paper: Enumerating Chemical Structures, Stereoisomers, and Stereogenic Units with Analytic Combinatorics arXiv:2609.02932