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Bayesian Classifier Fusion with an Explicit Model of Correlation

Trick, Susanne ; Rothkopf, Constantin A. (2022)
Bayesian Classifier Fusion with an Explicit Model of Correlation.
The 25th International Conference on Artificial Intelligence. Valencia, Spain (30.03.2022-01.04.2022)
Conference or Workshop Item, Bibliographie

Abstract

Combining the outputs of multiple classifiers or experts into a single probabilistic classification is a fundamental task in machine learning with broad applications from classifier fusion to expert opinion pooling. Here we present a hierarchical Bayesian model of probabilistic classifier fusion based on a new correlated Dirichlet distribution. This distribution explicitly models positive correlations between marginally Dirichlet-distributed random vectors thereby allowing explicit modeling of correlations between base classifiers or experts. The proposed model naturally accommodates the classic Independent Opinion Pool and other independent fusion algorithms as special cases. It is evaluated by uncertainty reduction and correctness of fusion on synthetic and real-world data sets. We show that a change in performance of the fused classifier due to uncertainty reduction can be Bayes optimal even for highly correlated base classifiers.

Item Type: Conference or Workshop Item
Erschienen: 2022
Creators: Trick, Susanne ; Rothkopf, Constantin A.
Type of entry: Bibliographie
Title: Bayesian Classifier Fusion with an Explicit Model of Correlation
Language: English
Date: 28 September 2022
Place of Publication: Valencia, Spain
Publisher: PMLR
Book Title: Proceedings of The 25th International Conference on Artificial Intelligence and Statistics
Series: Proceedings of Machine Learning Research
Series Volume: 151
Event Title: The 25th International Conference on Artificial Intelligence
Event Location: Valencia, Spain
Event Dates: 30.03.2022-01.04.2022
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Abstract:

Combining the outputs of multiple classifiers or experts into a single probabilistic classification is a fundamental task in machine learning with broad applications from classifier fusion to expert opinion pooling. Here we present a hierarchical Bayesian model of probabilistic classifier fusion based on a new correlated Dirichlet distribution. This distribution explicitly models positive correlations between marginally Dirichlet-distributed random vectors thereby allowing explicit modeling of correlations between base classifiers or experts. The proposed model naturally accommodates the classic Independent Opinion Pool and other independent fusion algorithms as special cases. It is evaluated by uncertainty reduction and correctness of fusion on synthetic and real-world data sets. We show that a change in performance of the fused classifier due to uncertainty reduction can be Bayes optimal even for highly correlated base classifiers.

Divisions: 03 Department of Human Sciences
03 Department of Human Sciences > Institute for Psychology
03 Department of Human Sciences > Institute for Psychology > Psychology of Information Processing
Zentrale Einrichtungen
Zentrale Einrichtungen > Centre for Cognitive Science (CCS)
Date Deposited: 28 Sep 2022 13:06
Last Modified: 28 Sep 2022 13:06
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