Fourier analysis of Boolean functions
GPTKB entity
Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Boolean functions
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| gptkbp:field |
gptkb:mathematics
theoretical computer science |
| https://www.w3.org/2000/01/rdf-schema#label |
Fourier analysis of Boolean functions
|
| 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
coding theory cryptography learning theory social choice theory |
| gptkbp:uses |
gptkb:Fourier_transform
|
| gptkbp:bfsParent |
gptkb:probabilistically_checkable_proofs
|
| gptkbp:bfsLayer |
6
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