For every total Boolean function, the logs of exact and approximate De Morgan sparsity (and of exact and approximate l1 norm) are polynomially related up to a log n factor, resolving a 2021 conjecture.
Spectral norm of symmetric functions
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Exact versus Approximate Representations of Boolean Functions in the De Morgan Basis
For every total Boolean function, the logs of exact and approximate De Morgan sparsity (and of exact and approximate l1 norm) are polynomially related up to a log n factor, resolving a 2021 conjecture.