Hitting Set Hypothesis (HS Hypothesis)

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Revision as of 11:30, 15 February 2023 by Admin (talk | contribs) (Created page with "== Target Problem == HS == Description == No randomized algorithm can solve HS on $n$ vectors in $\{0,1\}^d$ in $n^{2-\epsilon}\poly(d)$ time for $\epsilon > 0$. == Implies the following Hypothesis == == Implied by the following Hypothesis == == Computation Model == Word-RAM on $\log(n)$ bit words == Proven? == No == Year == == References/Citation == http://people.csail.mit.edu/virgi/eccentri.pdf Hypothesis 5")
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Target Problem

HS

Description

No randomized algorithm can solve HS on $n$ vectors in $\{0,1\}^d$ in $n^{2-\epsilon}\poly(d)$ time for $\epsilon > 0$.

Implies the following Hypothesis

Implied by the following Hypothesis

Computation Model

Word-RAM on $\log(n)$ bit words

Proven?

No

Year

References/Citation

http://people.csail.mit.edu/virgi/eccentri.pdf Hypothesis 5