Finding Frequent Itemsets: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
(2 intermediate revisions by the same user not shown)
Line 6: Line 6:
== Parameters ==  
== Parameters ==  


No parameters found.
$n$: total number of transactions (size of database)


== Table of Algorithms ==  
== Table of Algorithms ==  
Line 29: Line 29:


[[File:Finding Frequent Itemsets - Time.png|1000px]]
[[File:Finding Frequent Itemsets - Time.png|1000px]]
== Space Complexity Graph ==
[[File:Finding Frequent Itemsets - Space.png|1000px]]
== Space-Time Tradeoff Improvements ==
[[File:Finding Frequent Itemsets - Pareto Frontier.png|1000px]]

Latest revision as of 09:09, 28 April 2023

Description

We assume there is a number $s$, called the support threshold. If $I$ is a set of items, the support for $I$ is the number of baskets for which $I$ is a subset. We say $I$ is frequent if its support is $s$ or more

Parameters

$n$: total number of transactions (size of database)

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
A-Priori algorithm 1994 $O(n^{2})$ $O(n^{2})$ Exact Deterministic Time & Space
The Algorithm of Park; Chen; and Yu (PCY) 1995 $O(n^{2})$ $O(n^{2})$ Exact Deterministic Time
The Multistage Algorithm 1999 $O(n^{2})$ $O(n^{2})$ Exact Deterministic Time
The Multihash Algorithm 1999 $O(n^{2})$ $O(n^{2})$ Exact Deterministic Time

Time Complexity Graph

Error creating thumbnail: Unable to save thumbnail to destination