This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: "Computational learning theory" – news · newspapers · books · scholar · JSTOR (November 2018) (Learn how and when to remove this template message)

In computer science, computational learning theory (or just learning theory) is a subfield of artificial intelligence devoted to studying the design and analysis of machine learning algorithms.[1]

Overview

Theoretical results in machine learning mainly deal with a type of inductive learning called supervised learning. In supervised learning, an algorithm is given samples that are labeled in some useful way. For example, the samples might be descriptions of mushrooms, and the labels could be whether or not the mushrooms are edible. The algorithm takes these previously labeled samples and uses them to induce a classifier. This classifier is a function that assigns labels to samples, including samples that have not been seen previously by the algorithm. The goal of the supervised learning algorithm is to optimize some measure of performance such as minimizing the number of mistakes made on new samples.

In addition to performance bounds, computational learning theory studies the time complexity and feasibility of learning.[citation needed] In computational learning theory, a computation is considered feasible if it can be done in polynomial time.[citation needed] There are two kinds of time complexity results:

Negative results often rely on commonly believed, but yet unproven assumptions,[citation needed] such as:

There are several different approaches to computational learning theory based on making different assumptions about the inference principles used to generalize from limited data. This includes different definitions of probability (see frequency probability, Bayesian probability) and different assumptions on the generation of samples.[citation needed] The different approaches include:[citation needed]

While its primary goal is to understand learning abstractly, computational learning theory has led to the development of practical algorithms. For example, PAC theory inspired boosting, VC theory led to support vector machines, and Bayesian inference led to belief networks.

See also

References

  1. ^ "ACL - Association for Computational Learning".

Surveys

VC dimension

Feature selection

Inductive inference

Optimal O notation learning

Negative results

Boosting (machine learning)

Occam learning

Probably approximately correct learning

Error tolerance

Equivalence

A description of some of these publications is given at important publications in machine learning.

Distribution learning theory