Biarchetype analysis: simultaneous learning of observations and features based on extremes

Fuente: arXiv
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Autores principales: Alcacer, Aleix, Epifanio, Irene, Gual-Arnau, Ximo
Formato: Preprint
Publicado: 2023
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author Alcacer, Aleix
Epifanio, Irene
Gual-Arnau, Ximo
author_facet Alcacer, Aleix
Epifanio, Irene
Gual-Arnau, Ximo
contents We introduce a novel exploratory technique, termed biarchetype analysis, which extends archetype analysis to simultaneously identify archetypes of both observations and features. This innovative unsupervised machine learning tool aims to represent observations and features through instances of pure types, or biarchetypes, which are easily interpretable as they embody mixtures of observations and features. Furthermore, the observations and features are expressed as mixtures of the biarchetypes, which makes the structure of the data easier to understand. We propose an algorithm to solve biarchetype analysis. Although clustering is not the primary aim of this technique, biarchetype analysis is demonstrated to offer significant advantages over biclustering methods, particularly in terms of interpretability. This is attributed to biarchetypes being extreme instances, in contrast to the centroids produced by biclustering, which inherently enhances human comprehension. The application of biarchetype analysis across various machine learning challenges underscores its value, and both the source code and examples are readily accessible in R and Python at https://github.com/aleixalcacer/JA-BIAA.
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id arxiv_https___arxiv_org_abs_2311_11153
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Biarchetype analysis: simultaneous learning of observations and features based on extremes
Alcacer, Aleix
Epifanio, Irene
Gual-Arnau, Ximo
Methodology
Applications
Machine Learning
We introduce a novel exploratory technique, termed biarchetype analysis, which extends archetype analysis to simultaneously identify archetypes of both observations and features. This innovative unsupervised machine learning tool aims to represent observations and features through instances of pure types, or biarchetypes, which are easily interpretable as they embody mixtures of observations and features. Furthermore, the observations and features are expressed as mixtures of the biarchetypes, which makes the structure of the data easier to understand. We propose an algorithm to solve biarchetype analysis. Although clustering is not the primary aim of this technique, biarchetype analysis is demonstrated to offer significant advantages over biclustering methods, particularly in terms of interpretability. This is attributed to biarchetypes being extreme instances, in contrast to the centroids produced by biclustering, which inherently enhances human comprehension. The application of biarchetype analysis across various machine learning challenges underscores its value, and both the source code and examples are readily accessible in R and Python at https://github.com/aleixalcacer/JA-BIAA.
title Biarchetype analysis: simultaneous learning of observations and features based on extremes
topic Methodology
Applications
Machine Learning
url https://arxiv.org/abs/2311.11153