Deep Learning in current Neuroimaging: a multivariate approach with power and type I error control but arguable generalization ability

Fuente: arXiv
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Main Authors: Jiménez-Mesa, Carmen, Ramírez, Javier, Suckling, John, Vöglein, Jonathan, Levin, Johannes, Górriz, Juan Manuel, ADNI, Alzheimer's Disease Neuroimaging Initiative, DIAN, Dominantly Inherited Alzheimer Network
Format: Preprint
Published: 2021
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author Jiménez-Mesa, Carmen
Ramírez, Javier
Suckling, John
Vöglein, Jonathan
Levin, Johannes
Górriz, Juan Manuel
ADNI, Alzheimer's Disease Neuroimaging Initiative
DIAN, Dominantly Inherited Alzheimer Network
author_facet Jiménez-Mesa, Carmen
Ramírez, Javier
Suckling, John
Vöglein, Jonathan
Levin, Johannes
Górriz, Juan Manuel
ADNI, Alzheimer's Disease Neuroimaging Initiative
DIAN, Dominantly Inherited Alzheimer Network
contents Discriminative analysis in neuroimaging by means of deep/machine learning techniques is usually tested with validation techniques, whereas the associated statistical significance remains largely under-developed due to their computational complexity. In this work, a non-parametric framework is proposed that estimates the statistical significance of classifications using deep learning architectures. In particular, a combination of autoencoders (AE) and support vector machines (SVM) is applied to: (i) a one-condition, within-group designs often of normal controls (NC) and; (ii) a two-condition, between-group designs which contrast, for example, Alzheimer's disease (AD) patients with NC (the extension to multi-class analyses is also included). A random-effects inference based on a label permutation test is proposed in both studies using cross-validation (CV) and resubstitution with upper bound correction (RUB) as validation methods. This allows both false positives and classifier overfitting to be detected as well as estimating the statistical power of the test. Several experiments were carried out using the Alzheimer's Disease Neuroimaging Initiative (ADNI) dataset, the Dominantly Inherited Alzheimer Network (DIAN) dataset, and a MCI prediction dataset. We found in the permutation test that CV and RUB methods offer a false positive rate close to the significance level and an acceptable statistical power (although lower using cross-validation). A large separation between training and test accuracies using CV was observed, especially in one-condition designs. This implies a low generalization ability as the model fitted in training is not informative with respect to the test set. We propose as solution by applying RUB, whereby similar results are obtained to those of the CV test set, but considering the whole set and with a lower computational cost per iteration.
format Preprint
id arxiv_https___arxiv_org_abs_2103_16685
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Deep Learning in current Neuroimaging: a multivariate approach with power and type I error control but arguable generalization ability
Jiménez-Mesa, Carmen
Ramírez, Javier
Suckling, John
Vöglein, Jonathan
Levin, Johannes
Górriz, Juan Manuel
ADNI, Alzheimer's Disease Neuroimaging Initiative
DIAN, Dominantly Inherited Alzheimer Network
Machine Learning
Image and Video Processing
Applications
Discriminative analysis in neuroimaging by means of deep/machine learning techniques is usually tested with validation techniques, whereas the associated statistical significance remains largely under-developed due to their computational complexity. In this work, a non-parametric framework is proposed that estimates the statistical significance of classifications using deep learning architectures. In particular, a combination of autoencoders (AE) and support vector machines (SVM) is applied to: (i) a one-condition, within-group designs often of normal controls (NC) and; (ii) a two-condition, between-group designs which contrast, for example, Alzheimer's disease (AD) patients with NC (the extension to multi-class analyses is also included). A random-effects inference based on a label permutation test is proposed in both studies using cross-validation (CV) and resubstitution with upper bound correction (RUB) as validation methods. This allows both false positives and classifier overfitting to be detected as well as estimating the statistical power of the test. Several experiments were carried out using the Alzheimer's Disease Neuroimaging Initiative (ADNI) dataset, the Dominantly Inherited Alzheimer Network (DIAN) dataset, and a MCI prediction dataset. We found in the permutation test that CV and RUB methods offer a false positive rate close to the significance level and an acceptable statistical power (although lower using cross-validation). A large separation between training and test accuracies using CV was observed, especially in one-condition designs. This implies a low generalization ability as the model fitted in training is not informative with respect to the test set. We propose as solution by applying RUB, whereby similar results are obtained to those of the CV test set, but considering the whole set and with a lower computational cost per iteration.
title Deep Learning in current Neuroimaging: a multivariate approach with power and type I error control but arguable generalization ability
topic Machine Learning
Image and Video Processing
Applications
url https://arxiv.org/abs/2103.16685