Distance-weighted Sinkhorn loss for Alzheimer’s disease classification

Summary: Traditional loss functions such as cross-entropy loss often quantify the penalty for each mis-classified training sample without adequately considering its distance from the ground truth class distribution in the feature space. Intuitively, the larger this distance is, the higher the penalt...

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Main Authors: Zexuan Wang, Qipeng Zhan, Boning Tong, Shu Yang, Bojian Hou, Heng Huang, Andrew J. Saykin, Paul M. Thompson, Christos Davatzikos, Li Shen
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:iScience
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2589004224004334
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author Zexuan Wang
Qipeng Zhan
Boning Tong
Shu Yang
Bojian Hou
Heng Huang
Andrew J. Saykin
Paul M. Thompson
Christos Davatzikos
Li Shen
author_facet Zexuan Wang
Qipeng Zhan
Boning Tong
Shu Yang
Bojian Hou
Heng Huang
Andrew J. Saykin
Paul M. Thompson
Christos Davatzikos
Li Shen
author_sort Zexuan Wang
collection DOAJ
description Summary: Traditional loss functions such as cross-entropy loss often quantify the penalty for each mis-classified training sample without adequately considering its distance from the ground truth class distribution in the feature space. Intuitively, the larger this distance is, the higher the penalty should be. With this observation, we propose a penalty called distance-weighted Sinkhorn (DWS) loss. For each mis-classified training sample (with predicted label A and true label B), its contribution to the DWS loss positively correlates to the distance the training sample needs to travel to reach the ground truth distribution of all the A samples. We apply the DWS framework with a neural network to classify different stages of Alzheimer’s disease. Our empirical results demonstrate that the DWS framework outperforms the traditional neural network loss functions and is comparable or better to traditional machine learning methods, highlighting its potential in biomedical informatics and data science.
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spelling doaj.art-0a287bbe671647cb960f6912d4ffa9862024-02-24T04:55:17ZengElsevieriScience2589-00422024-03-01273109212Distance-weighted Sinkhorn loss for Alzheimer’s disease classificationZexuan Wang0Qipeng Zhan1Boning Tong2Shu Yang3Bojian Hou4Heng Huang5Andrew J. Saykin6Paul M. Thompson7Christos Davatzikos8Li Shen9University of Pennsylvania, B301 Richards Building, 3700 Hamilton Walk, Philadelphia, PA 19104, USAUniversity of Pennsylvania, B301 Richards Building, 3700 Hamilton Walk, Philadelphia, PA 19104, USAUniversity of Pennsylvania, B301 Richards Building, 3700 Hamilton Walk, Philadelphia, PA 19104, USAUniversity of Pennsylvania, B301 Richards Building, 3700 Hamilton Walk, Philadelphia, PA 19104, USAUniversity of Pennsylvania, B301 Richards Building, 3700 Hamilton Walk, Philadelphia, PA 19104, USAUniversity of Maryland, College Park, 8125 Paint Branch Drive, College Park, MD 20742, USAIndiana University, 355 West 16th Street, Indianapolis, IN 46202, USAUniversity of Southern California, 4676 Admiralty Way, Marina Del Rey, CA 90292, USAUniversity of Pennsylvania, B301 Richards Building, 3700 Hamilton Walk, Philadelphia, PA 19104, USAUniversity of Pennsylvania, B301 Richards Building, 3700 Hamilton Walk, Philadelphia, PA 19104, USA; Corresponding authorSummary: Traditional loss functions such as cross-entropy loss often quantify the penalty for each mis-classified training sample without adequately considering its distance from the ground truth class distribution in the feature space. Intuitively, the larger this distance is, the higher the penalty should be. With this observation, we propose a penalty called distance-weighted Sinkhorn (DWS) loss. For each mis-classified training sample (with predicted label A and true label B), its contribution to the DWS loss positively correlates to the distance the training sample needs to travel to reach the ground truth distribution of all the A samples. We apply the DWS framework with a neural network to classify different stages of Alzheimer’s disease. Our empirical results demonstrate that the DWS framework outperforms the traditional neural network loss functions and is comparable or better to traditional machine learning methods, highlighting its potential in biomedical informatics and data science.http://www.sciencedirect.com/science/article/pii/S2589004224004334Medical informaticsBiocomputational methodClassification of bioinformatical subjectNeural networksMachine learning
spellingShingle Zexuan Wang
Qipeng Zhan
Boning Tong
Shu Yang
Bojian Hou
Heng Huang
Andrew J. Saykin
Paul M. Thompson
Christos Davatzikos
Li Shen
Distance-weighted Sinkhorn loss for Alzheimer’s disease classification
iScience
Medical informatics
Biocomputational method
Classification of bioinformatical subject
Neural networks
Machine learning
title Distance-weighted Sinkhorn loss for Alzheimer’s disease classification
title_full Distance-weighted Sinkhorn loss for Alzheimer’s disease classification
title_fullStr Distance-weighted Sinkhorn loss for Alzheimer’s disease classification
title_full_unstemmed Distance-weighted Sinkhorn loss for Alzheimer’s disease classification
title_short Distance-weighted Sinkhorn loss for Alzheimer’s disease classification
title_sort distance weighted sinkhorn loss for alzheimer s disease classification
topic Medical informatics
Biocomputational method
Classification of bioinformatical subject
Neural networks
Machine learning
url http://www.sciencedirect.com/science/article/pii/S2589004224004334
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