Maximum Inner Product Search (Maximum Inner Product Search)
Revision as of 10:30, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Maximum Inner Product Search (Maximum Inner Product Search)}} == Description == Given a new query $q$, MIPS targets at retrieving the datum having the largest inner product with $q$ from the database $A$. Formally, the MIPS problem is formulated as below: $p = \arg \max \limits_{a \in A} a \top q$ == Parameters == No parameters found. == Table of Algorithms == Currently no algorithms in our database for the given problem. == Reductions TO Problem...")
Description
Given a new query $q$, MIPS targets at retrieving the datum having the largest inner product with $q$ from the database $A$. Formally, the MIPS problem is formulated as below:
$p = \arg \max \limits_{a \in A} a \top q$
Parameters
No parameters found.
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions TO Problem
Problem | Implication | Year | Citation | Reduction |
---|---|---|---|---|
Boolean d-Attribute Stable Matching | assume: OVH then: for an $\epsilon > {0}$ there is a $c$ such that finding a stable matching in the boolean $d$-attribute model with $d = c\log n$ dimensions requires time $\Omega(n^{2-\epsilon})$. |
2016 | https://arxiv.org/pdf/1510.06452.pdf | link |
Stable Matching Verification | assume: OVH then: for an $\epsilon > {0}$ there is a $c$ such that verifying a stable matching in the boolean $d$-attribute model with $d = c\log n$ dimensions requires time $\Omega(n^{2-\epsilon}). |
2016 | https://arxiv.org/pdf/1510.06452.pdf | link |
Stable Pair Checking | 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 $\Omega(n^{2-\epsilon})$ |
2016 | https://arxiv.org/pdf/1510.06452.pdf | link |
Stable Pair Checking | assume: NSETH then: for any $\epsilon > {0}$ there is a $c$ such that determining whether a gaiven pair is part of any or all stable matching in the boolean $d$-attribute model with $d = c\log n$ dimensions requires co-nondeterministic time $\Omega(n^{2-\epsilon})$ |
2016 | https://arxiv.org/pdf/1510.06452.pdf | link |
Stable Pair Checking | assume: NSETH then: for any $\epsilon > {0}$ there is a $c$ such that determining whether a gaiven pair is part of any or all stable matching in the boolean $d$-attribute model with $d = c\log n$ dimensions requires nondeterministic time $\Omega(n^{2-\epsilon})$ |
2016 | https://arxiv.org/pdf/1510.06452.pdf | link |