Reduction from Maximum Inner Product Search to Stable Pair Checking

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Revision as of 12:19, 15 February 2023 by Admin (talk | contribs) (Created page with "FROM: Maximum Inner Product Search TO: Stable Pair Checking == Description == == Implications == assume: OVH<br/>then: for any $\epsilon > {0}$, there is a $c$ such that determining whether a given pair is part of any or all stable matchings in the boolean $d$-attribute model with $d = c\log n$ dimensions requires time $\Omega(n^{2-\epsilon})$ == Year == 2016 == Reference == Moeller, Daniel, Ramamohan Paturi, and Stefan Schneider. "Subquadratic algor...")
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FROM: Maximum Inner Product Search TO: Stable Pair Checking

Description

Implications

assume: OVH
then: for any $\epsilon > {0}$, there is a $c$ such that determining whether a given pair is part of any or all stable matchings in the boolean $d$-attribute model with $d = c\log n$ dimensions requires time $\Omega(n^{2-\epsilon})$

Year

2016

Reference

Moeller, Daniel, Ramamohan Paturi, and Stefan Schneider. "Subquadratic algorithms for succinct stable matching." International Computer Science Symposium in Russia. Springer, Cham, 2016.

https://arxiv.org/pdf/1510.06452.pdf