Maximum Likelihood Parameters: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
Line 38: Line 38:
[[File:Maximum Likelihood Parameters - Space.png|1000px]]
[[File:Maximum Likelihood Parameters - Space.png|1000px]]


== Pareto Frontier Improvements Graph ==  
== Space-Time Tradeoff Improvements ==  


[[File:Maximum Likelihood Parameters - Pareto Frontier.png|1000px]]
[[File:Maximum Likelihood Parameters - Pareto Frontier.png|1000px]]

Revision as of 14:36, 15 February 2023

Description

In these algorithms, the goal is to estimate hyperparameters using maximum likelihood.

Parameters

No parameters found.

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Expectation–maximization (EM) algorithm 1977 $O(n^{3})$ $O(n+r)$? Exact Deterministic Time
Newton–Raphson algorithm 1685 $O(n^{3})$ $O(n+r^{2})$? Exact Deterministic
Parameter-expanded expectation maximization (PX-EM) algorithm 1998 $O(n^{3})$ $O(n+r)$? Exact Deterministic Time
Expectation conditional maximization (ECM) 2017 $O(n^{2} logn)$ $O(n+r)$? Exact Deterministic Time
Generalized expectation maximization (GEM) algorithm 1994 $O(n^{4} log^{0.{1}.5}n)$ $O(n+r)$? Exact Deterministic Time
α-EM algorithm 2003 $O(n^{3})$ $O(n+r)$? Exact Deterministic Time

Time Complexity Graph

Maximum Likelihood Parameters - Time.png

Space Complexity Graph

Maximum Likelihood Parameters - Space.png

Space-Time Tradeoff Improvements

Maximum Likelihood Parameters - Pareto Frontier.png