Granule Vectors and Granular Convolutional Classifiers

Convolutional operations can extract effective features and have been widely used in the field of deep learning. For the deficiency of convolution mainly dealing with numerical data, we propose a novel convolutional operator on granules with a set form, further we build a classifier on it. Firstly,...

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Main Authors: Yumin Chen, Xiao Zhang, Wei Li, Shunzhi Zhu
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8931552/
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author Yumin Chen
Xiao Zhang
Wei Li
Shunzhi Zhu
author_facet Yumin Chen
Xiao Zhang
Wei Li
Shunzhi Zhu
author_sort Yumin Chen
collection DOAJ
description Convolutional operations can extract effective features and have been widely used in the field of deep learning. For the deficiency of convolution mainly dealing with numerical data, we propose a novel convolutional operator on granules with a set form, further we build a classifier on it. Firstly, feature granules are constructed on each single feature of a classification system by introducing neighborhood rough sets. Synchronously, decision granules are generated on the labels of samples. Secondly, feature granule vectors and weighted granule vectors are constructed from these granules, and a convolutional operation is proposed on feature granule vectors and weighted granule vectors, then a predicted granule is produced as a result of the convolutional operation. The predicted granule is compared with the decision granule, and their residual error is back propagated to the weighted granule vector for tuning its value. After multiple iterations of the granular convolutional operations and back propagation corrections, the weight of the granular vector is convergent and optimized. Furthermore, a granular classifier is designed based on the convolutional operation. The constringency of the granular convolution and the classification performance of the granular classifier are tested on some UCI datasets. Theoretical analysis and experimental results show that the granular convolution has a characteristic of fast convergence, and the granular convolutional classifier has a better classification performance.
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spelling doaj.art-53bd18df16e84af0aec09f5573fdf15e2022-12-21T22:50:39ZengIEEEIEEE Access2169-35362020-01-0182042205110.1109/ACCESS.2019.29591268931552Granule Vectors and Granular Convolutional ClassifiersYumin Chen0https://orcid.org/0000-0003-1981-5827Xiao Zhang1https://orcid.org/0000-0001-9935-0219Wei Li2https://orcid.org/0000-0002-4308-4385Shunzhi Zhu3https://orcid.org/0000-0001-8321-1169College of Computer and Information Engineering, Xiamen University of Technology, Xiamen, ChinaCollege of Computer and Information Engineering, Xiamen University of Technology, Xiamen, ChinaCollege of Computer and Information Engineering, Xiamen University of Technology, Xiamen, ChinaCollege of Computer and Information Engineering, Xiamen University of Technology, Xiamen, ChinaConvolutional operations can extract effective features and have been widely used in the field of deep learning. For the deficiency of convolution mainly dealing with numerical data, we propose a novel convolutional operator on granules with a set form, further we build a classifier on it. Firstly, feature granules are constructed on each single feature of a classification system by introducing neighborhood rough sets. Synchronously, decision granules are generated on the labels of samples. Secondly, feature granule vectors and weighted granule vectors are constructed from these granules, and a convolutional operation is proposed on feature granule vectors and weighted granule vectors, then a predicted granule is produced as a result of the convolutional operation. The predicted granule is compared with the decision granule, and their residual error is back propagated to the weighted granule vector for tuning its value. After multiple iterations of the granular convolutional operations and back propagation corrections, the weight of the granular vector is convergent and optimized. Furthermore, a granular classifier is designed based on the convolutional operation. The constringency of the granular convolution and the classification performance of the granular classifier are tested on some UCI datasets. Theoretical analysis and experimental results show that the granular convolution has a characteristic of fast convergence, and the granular convolutional classifier has a better classification performance.https://ieeexplore.ieee.org/document/8931552/Granular computingneighborhood rough setsconvolutional networkgranular classifierrough sets
spellingShingle Yumin Chen
Xiao Zhang
Wei Li
Shunzhi Zhu
Granule Vectors and Granular Convolutional Classifiers
IEEE Access
Granular computing
neighborhood rough sets
convolutional network
granular classifier
rough sets
title Granule Vectors and Granular Convolutional Classifiers
title_full Granule Vectors and Granular Convolutional Classifiers
title_fullStr Granule Vectors and Granular Convolutional Classifiers
title_full_unstemmed Granule Vectors and Granular Convolutional Classifiers
title_short Granule Vectors and Granular Convolutional Classifiers
title_sort granule vectors and granular convolutional classifiers
topic Granular computing
neighborhood rough sets
convolutional network
granular classifier
rough sets
url https://ieeexplore.ieee.org/document/8931552/
work_keys_str_mv AT yuminchen granulevectorsandgranularconvolutionalclassifiers
AT xiaozhang granulevectorsandgranularconvolutionalclassifiers
AT weili granulevectorsandgranularconvolutionalclassifiers
AT shunzhizhu granulevectorsandgranularconvolutionalclassifiers