Linear discriminant analysis

Last revised by Daniel J Bell on 15 Mar 2020

Citation, DOI, disclosures and article data

Citation:

Moore C, Bell D, Linear discriminant analysis. Reference article, Radiopaedia.org (Accessed on 25 Apr 2024) https://doi.org/10.53347/rID-75059

DOI:

https://doi.org/10.53347/rID-75059

Permalink:

https://radiopaedia.org/articles/75059

rID:

75059

Article created:

15 Mar 2020, Candace Makeda Moore

Disclosures:

At the time the article was created Candace Makeda Moore had no recorded disclosures.

View Candace Makeda Moore's current disclosures

Last revised:

15 Mar 2020, Daniel J Bell ◉

Disclosures:

At the time the article was last revised Daniel J Bell had no recorded disclosures.

View Daniel J Bell's current disclosures

Revisions:

2 times, by 2 contributors - see full revision history and disclosures

Sections:

Artificial Intelligence

Synonyms:

Linear discriminant analyses
Linear discriminant analysis (LDA)

Linear discriminant analysis (LDA) is a type of algorithmic model employed in machine learning in order to classify data. Unlike some other now popular models, linear discriminant analysis has been used for decades in both AI for radiology¹ and many other biomedical applications.

Linear discriminant analysis has several variations including regularized discriminant analysis and flexible discriminant analysis. If logistic regression can be conceived as a line that separates data into two categories based on two features, then the basic design of linear discriminant analysis can be understood as a curved hyperplane that separates data based on many features. Linear discriminant analysis assumes instances of data are understood as belonging to several categories, whether they be pixels in an image or images in a dataset, and have several features, and then finds the best planes along which to separate them. Although linear discriminant analysis is not appropriate for every type of data set, it is often used in many types of problems including segmentation, texture analysis, and the classification of different types of tumors or lesions ^2,3.