Sub-linear Upper Bounds on Fourier dimension of Boolean Functions in terms of Fourier sparsity.
Swagato SanyalPublished in: CoRR (2014)
Keyphrases
- boolean functions
- linear functions
- upper bound
- uniform distribution
- lower bound
- threshold functions
- relevant variables
- randomly generated
- dnf formulae
- upper and lower bounds
- lower and upper bounds
- dnf formulas
- high dimensional
- membership queries
- statistical queries
- sample size
- functional properties
- worst case
- prime implicants
- machine learning