Structure of Classifier Boundaries: Case Study for a Naive Bayes Classifier

Fuente: arXiv
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Auteurs principaux: Karr, Alan F., Bowen, Zac, Porter, Adam A., Ruane, Regina
Format: Preprint
Publié: 2022
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author Karr, Alan F.
Bowen, Zac
Porter, Adam A.
Ruane, Regina
author_facet Karr, Alan F.
Bowen, Zac
Porter, Adam A.
Ruane, Regina
contents For a Bayes classifier whose input space is a graph, we study the structure of the boundary, which comprises those points for which at least one neighbor is classified differently. The scientific setting is assignment of DNA reads produced by next generations sequencers to candidate source genomes. We show that the boundary is both large and complicated in structure. A new measure of uncertainty, Neighbor Similarity, which compares the classifier result for an input point to the distribution of results for its neighbors, not only tracks two inherent uncertainty measures for the Bayes classifier, but also can be implemented for classifiers without inherent measures of uncertainty.
format Preprint
id arxiv_https___arxiv_org_abs_2212_04382
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Structure of Classifier Boundaries: Case Study for a Naive Bayes Classifier
Karr, Alan F.
Bowen, Zac
Porter, Adam A.
Ruane, Regina
Machine Learning
For a Bayes classifier whose input space is a graph, we study the structure of the boundary, which comprises those points for which at least one neighbor is classified differently. The scientific setting is assignment of DNA reads produced by next generations sequencers to candidate source genomes. We show that the boundary is both large and complicated in structure. A new measure of uncertainty, Neighbor Similarity, which compares the classifier result for an input point to the distribution of results for its neighbors, not only tracks two inherent uncertainty measures for the Bayes classifier, but also can be implemented for classifiers without inherent measures of uncertainty.
title Structure of Classifier Boundaries: Case Study for a Naive Bayes Classifier
topic Machine Learning
url https://arxiv.org/abs/2212.04382