Domain-decomposed image classification algorithms using linear discriminant analysis and convolutional neural networks

Fuente: arXiv
Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Klawonn, Axel, Lanser, Martin, Weber, Janine
Format: Preprint
Veröffentlicht: 2024
Schlagworte:
Online-Zugang:
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
_version_ 1866916461805568000
author Klawonn, Axel
Lanser, Martin
Weber, Janine
author_facet Klawonn, Axel
Lanser, Martin
Weber, Janine
contents In many modern computer application problems, the classification of image data plays an important role. Among many different supervised machine learning models, convolutional neural networks (CNNs) and linear discriminant analysis (LDA) as well as sophisticated variants thereof are popular techniques. In this work, two different domain decomposed CNN models are experimentally compared for different image classification problems. Both models are loosely inspired by domain decomposition methods and in addition, combined with a transfer learning strategy. The resulting models show improved classification accuracies compared to the corresponding, composed global CNN model without transfer learning and besides, also help to speed up the training process. Moreover, a novel decomposed LDA strategy is proposed which also relies on a localization approach and which is combined with a small neural network model. In comparison with a global LDA applied to the entire input data, the presented decomposed LDA approach shows increased classification accuracies for the considered test problems.
format Preprint
id arxiv_https___arxiv_org_abs_2410_23359
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Domain-decomposed image classification algorithms using linear discriminant analysis and convolutional neural networks
Klawonn, Axel
Lanser, Martin
Weber, Janine
Computer Vision and Pattern Recognition
Machine Learning
Numerical Analysis
68T07, 68W10, 68W15, 65N55
In many modern computer application problems, the classification of image data plays an important role. Among many different supervised machine learning models, convolutional neural networks (CNNs) and linear discriminant analysis (LDA) as well as sophisticated variants thereof are popular techniques. In this work, two different domain decomposed CNN models are experimentally compared for different image classification problems. Both models are loosely inspired by domain decomposition methods and in addition, combined with a transfer learning strategy. The resulting models show improved classification accuracies compared to the corresponding, composed global CNN model without transfer learning and besides, also help to speed up the training process. Moreover, a novel decomposed LDA strategy is proposed which also relies on a localization approach and which is combined with a small neural network model. In comparison with a global LDA applied to the entire input data, the presented decomposed LDA approach shows increased classification accuracies for the considered test problems.
title Domain-decomposed image classification algorithms using linear discriminant analysis and convolutional neural networks
topic Computer Vision and Pattern Recognition
Machine Learning
Numerical Analysis
68T07, 68W10, 68W15, 65N55
url https://arxiv.org/abs/2410.23359