Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data

Tingting Pan; Witold Pedrycz; Jie Yang; Dahai Zhang

doi:doi:10.11648/j.acm.20241305.15

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Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data

Tingting Pan

, Witold Pedrycz

, Jie Yang^*

, Dahai Zhang

Published in Applied and Computational Mathematics (Volume 13, Issue 5)

Received: 23 July 2024 Accepted: 20 August 2024 Published: 19 September 2024

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Abstract

Class imbalance in data poses challenges for classifier learning, drawing increased attention in data mining and machine learning. The occurrence of class overlap in real-world data exacerbates the learning difficulty. In this paper, a novel pseudo oversampling method (POM) is proposed to learn imbalanced and overlapping data. It is motivated by the point that overlapping samples from different classes share the same distribution space, and therefore information underlying in majority (negative) overlapping samples can be extracted and used to generate additional positive samples. A fuzzy logic-based membership function is defined to assess negative overlaps using both local and global information. Subsequently, the identified negative overlapping samples are shifted into the positive sample region by a transformation matrix, centered around the positive samples. POM outperforms 15 methods across 14 datasets, displaying superior performance in terms of metrics of G_m, F₁ and AUC.

Published in	Applied and Computational Mathematics (Volume 13, Issue 5)
DOI	10.11648/j.acm.20241305.15
Page(s)	165-178
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Imbalanced Learning, Class Overlap, Feature Transformation, Oversampling

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APA Style

Pan, T., Pedrycz, W., Yang, J., Zhang, D. (2024). Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data. Applied and Computational Mathematics, 13(5), 165-178. https://doi.org/10.11648/j.acm.20241305.15

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ACS Style

Pan, T.; Pedrycz, W.; Yang, J.; Zhang, D. Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data. Appl. Comput. Math. 2024, 13(5), 165-178. doi: 10.11648/j.acm.20241305.15

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AMA Style

Pan T, Pedrycz W, Yang J, Zhang D. Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data. Appl Comput Math. 2024;13(5):165-178. doi: 10.11648/j.acm.20241305.15

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@article{10.11648/j.acm.20241305.15,
  author = {Tingting Pan and Witold Pedrycz and Jie Yang and Dahai Zhang},
  title = {Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data},
  journal = {Applied and Computational Mathematics},
  volume = {13},
  number = {5},
  pages = {165-178},
  doi = {10.11648/j.acm.20241305.15},
  url = {https://doi.org/10.11648/j.acm.20241305.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20241305.15},
  abstract = {Class imbalance in data poses challenges for classifier learning, drawing increased attention in data mining and machine learning. The occurrence of class overlap in real-world data exacerbates the learning difficulty. In this paper, a novel pseudo oversampling method (POM) is proposed to learn imbalanced and overlapping data. It is motivated by the point that overlapping samples from different classes share the same distribution space, and therefore information underlying in majority (negative) overlapping samples can be extracted and used to generate additional positive samples. A fuzzy logic-based membership function is defined to assess negative overlaps using both local and global information. Subsequently, the identified negative overlapping samples are shifted into the positive sample region by a transformation matrix, centered around the positive samples. POM outperforms 15 methods across 14 datasets, displaying superior performance in terms of metrics of Gm, F1 and AUC.},
 year = {2024}
}

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TY  - JOUR
T1  - Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data
AU  - Tingting Pan
AU  - Witold Pedrycz
AU  - Jie Yang
AU  - Dahai Zhang
Y1  - 2024/09/19
PY  - 2024
N1  - https://doi.org/10.11648/j.acm.20241305.15
DO  - 10.11648/j.acm.20241305.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 165
EP  - 178
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20241305.15
AB  - Class imbalance in data poses challenges for classifier learning, drawing increased attention in data mining and machine learning. The occurrence of class overlap in real-world data exacerbates the learning difficulty. In this paper, a novel pseudo oversampling method (POM) is proposed to learn imbalanced and overlapping data. It is motivated by the point that overlapping samples from different classes share the same distribution space, and therefore information underlying in majority (negative) overlapping samples can be extracted and used to generate additional positive samples. A fuzzy logic-based membership function is defined to assess negative overlaps using both local and global information. Subsequently, the identified negative overlapping samples are shifted into the positive sample region by a transformation matrix, centered around the positive samples. POM outperforms 15 methods across 14 datasets, displaying superior performance in terms of metrics of Gm, F1 and AUC.
VL  - 13
IS  - 5
ER  -

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Author Information

Tingting Pan

Department of Basic Courses Teaching, Dalian Polytechnic University, Dalian, China

Contact Email

http://orcid.org/0000-0003-2100-6797
Witold Pedrycz

Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada

Contact Email

http://orcid.org/0000-0002-9335-9930
Jie Yang

School of Mathematical Sciences, Dalian University of Technology, Dalian, China

Contact Email

http://orcid.org/0000-0003-1318-3996
Dahai Zhang

Department of Basic Courses Teaching, Dalian Polytechnic University, Dalian, China

Contact Email

http://orcid.org/0009-0004-8359-1375

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Plain Text BibTeX RIS

APA Style

Pan, T., Pedrycz, W., Yang, J., Zhang, D. (2024). Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data. Applied and Computational Mathematics, 13(5), 165-178. https://doi.org/10.11648/j.acm.20241305.15

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ACS Style

Pan, T.; Pedrycz, W.; Yang, J.; Zhang, D. Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data. Appl. Comput. Math. 2024, 13(5), 165-178. doi: 10.11648/j.acm.20241305.15

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AMA Style

Pan T, Pedrycz W, Yang J, Zhang D. Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data. Appl Comput Math. 2024;13(5):165-178. doi: 10.11648/j.acm.20241305.15

Copy | Download

@article{10.11648/j.acm.20241305.15,
  author = {Tingting Pan and Witold Pedrycz and Jie Yang and Dahai Zhang},
  title = {Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data},
  journal = {Applied and Computational Mathematics},
  volume = {13},
  number = {5},
  pages = {165-178},
  doi = {10.11648/j.acm.20241305.15},
  url = {https://doi.org/10.11648/j.acm.20241305.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20241305.15},
  abstract = {Class imbalance in data poses challenges for classifier learning, drawing increased attention in data mining and machine learning. The occurrence of class overlap in real-world data exacerbates the learning difficulty. In this paper, a novel pseudo oversampling method (POM) is proposed to learn imbalanced and overlapping data. It is motivated by the point that overlapping samples from different classes share the same distribution space, and therefore information underlying in majority (negative) overlapping samples can be extracted and used to generate additional positive samples. A fuzzy logic-based membership function is defined to assess negative overlaps using both local and global information. Subsequently, the identified negative overlapping samples are shifted into the positive sample region by a transformation matrix, centered around the positive samples. POM outperforms 15 methods across 14 datasets, displaying superior performance in terms of metrics of Gm, F1 and AUC.},
 year = {2024}
}

Copy | Download

TY  - JOUR
T1  - Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data
AU  - Tingting Pan
AU  - Witold Pedrycz
AU  - Jie Yang
AU  - Dahai Zhang
Y1  - 2024/09/19
PY  - 2024
N1  - https://doi.org/10.11648/j.acm.20241305.15
DO  - 10.11648/j.acm.20241305.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 165
EP  - 178
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20241305.15
AB  - Class imbalance in data poses challenges for classifier learning, drawing increased attention in data mining and machine learning. The occurrence of class overlap in real-world data exacerbates the learning difficulty. In this paper, a novel pseudo oversampling method (POM) is proposed to learn imbalanced and overlapping data. It is motivated by the point that overlapping samples from different classes share the same distribution space, and therefore information underlying in majority (negative) overlapping samples can be extracted and used to generate additional positive samples. A fuzzy logic-based membership function is defined to assess negative overlaps using both local and global information. Subsequently, the identified negative overlapping samples are shifted into the positive sample region by a transformation matrix, centered around the positive samples. POM outperforms 15 methods across 14 datasets, displaying superior performance in terms of metrics of Gm, F1 and AUC.
VL  - 13
IS  - 5
ER  -

Copy | Download