Maximum Likelihood Parameters: Difference between revisions

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


== Space-Time Tradeoff Improvements ==  
== Time-Space Tradeoff ==  


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

Revision as of 15:45, 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

Time-Space Tradeoff

Maximum Likelihood Parameters - Pareto Frontier.png