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Regularized logistic discrimination with basis expansions for the early detection of Alzheimer’s disease based on three-dimensional MRI data

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Abstract

In recent years, evidence has emerged indicating that magnetic resonance imaging (MRI) brain scans provide valuable diagnostic information about Alzheimer’s disease. It has been shown that MRI brain scans are capable of both diagnosing Alzheimer’s disease itself at an early stage and identifying people at risk of developing Alzheimer’s. In this article, we have investigated statistical methods for classifying Alzheimer’s disease patients based on three-dimensional MRI data via L2-type regularized logistic discrimination with basis expansions. Preceding studies adopted an open approach when applying three-dimensional data analysis. Our proposed classification model with dimension reduction techniques offers discriminant functions with excellent prediction performance in terms of sensitivity and specificity.

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Acknowledgments

The authors would like to express their gratitude to the Editors and the reviewers for their constructive and helpful suggestions that improved the scope and presentation of the paper considerably. We are deeply grateful to Dr. Momoko Takahashi for providing the SVM programming code, which followed Kloppel’s implementation. This research was supported in part by Grants-in-Aid for Young Scientists (B) from the Ministry of Education, Culture, Sport, Science and Technology of Japan (22700298 to YA, 24700286 to AK).

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Correspondence to Yuko Araki.

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Araki, Y., Kawaguchi, A. & Yamashita, F. Regularized logistic discrimination with basis expansions for the early detection of Alzheimer’s disease based on three-dimensional MRI data. Adv Data Anal Classif 7, 109–119 (2013). https://doi.org/10.1007/s11634-013-0127-5

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  • DOI: https://doi.org/10.1007/s11634-013-0127-5

Keywords

Mathematics Subject Classification (2000)

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