Limits on representing Boolean functions by linear combinations of simple functions: thresholds, ReLUs, and low-degree polynomials.
R. Ryan WilliamsPublished in: CoRR (2018)
Keyphrases
- boolean functions
- linear combination
- threshold functions
- low degree
- basis functions
- uniform distribution
- low order
- functional properties
- small number
- disjunctive normal form
- membership queries
- agnostic learning
- pac learning
- multi valued
- linear threshold
- numerical solution
- statistical queries
- high order
- term dnf
- pairwise