Fourier analysis of Boolean functions
GPTKB entity
Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Boolean functions
|
| gptkbp:field |
gptkb:theoretical_computer_science
gptkb:mathematics |
| gptkbp:notableBook |
Analysis of Boolean Functions (Ryan O'Donnell)
|
| gptkbp:notableContributor |
gptkb:Ryan_O'Donnell
|
| gptkbp:notablePublication |
Every monotone Boolean function has an influential variable (Kahn, Kalai, Linial, 1988)
|
| gptkbp:relatedTo |
gptkb:Walsh–Hadamard_transform
noise sensitivity Bonami–Beckner inequality Kahn–Kalai–Linial theorem Parseval's identity hypercontractivity influence of variables |
| gptkbp:studies |
gptkb:Parseval's_theorem
gptkb:Boolean_cube gptkb:Plancherel's_theorem randomized algorithms property testing threshold phenomena Fourier expansion parity function representation of Boolean functions as multilinear polynomials Boolean hypercube Fourier coefficients Fourier sparsity approximation by low-degree polynomials degree of Boolean functions dictator-vs-quasirandom tests dictatorship tests hypercontractive inequalities influence of coalitions influences of variables invariance principle learning juntas majority function noise operator noise stability orthonormal basis of characters spectral concentration spectral norm spectral properties of Boolean functions spectral techniques in social choice |
| gptkbp:usedIn |
gptkb:complexity_theory
gptkb:learning_theory coding theory cryptography social choice theory |
| gptkbp:uses |
gptkb:Fourier_transform
|
| gptkbp:bfsParent |
gptkb:probabilistically_checkable_proofs
|
| gptkbp:bfsLayer |
6
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| https://www.w3.org/2000/01/rdf-schema#label |
Fourier analysis of Boolean functions
|