Towards Visually Explaining Statistical Tests with Applications in Biomedical Imaging

Fuente: arXiv
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Main Authors: Javanbakhat, Masoumeh, Komorowski, Piotr, Bareeva, Dilyara, Lai, Wei-Chang, Samek, Wojciech, Lippert, Christoph
Format: Preprint
Published: 2026
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author Javanbakhat, Masoumeh
Komorowski, Piotr
Bareeva, Dilyara
Lai, Wei-Chang
Samek, Wojciech
Lippert, Christoph
author_facet Javanbakhat, Masoumeh
Komorowski, Piotr
Bareeva, Dilyara
Lai, Wei-Chang
Samek, Wojciech
Lippert, Christoph
contents Deep neural two-sample tests have recently shown strong power for detecting distributional differences between groups, yet their black-box nature limits interpretability and practical adoption in biomedical analysis. Moreover, most existing post-hoc explainability methods rely on class labels, making them unsuitable for label-free statistical testing settings. We propose an explainable deep statistical testing framework that augments deep two-sample tests with sample-level and feature-level explanations, revealing which individual samples and which input features drive statistically significant group differences. Our method highlights which image regions and which individual samples contribute most to the detected group difference, providing spatial and instance-wise insight into the test's decision. Applied to biomedical imaging data, the proposed framework identifies influential samples and highlights anatomically meaningful regions associated with disease-related variation. This work bridges statistical inference and explainable AI, enabling interpretable, label-free population analysis in medical imaging.
format Preprint
id arxiv_https___arxiv_org_abs_2601_13899
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Towards Visually Explaining Statistical Tests with Applications in Biomedical Imaging
Javanbakhat, Masoumeh
Komorowski, Piotr
Bareeva, Dilyara
Lai, Wei-Chang
Samek, Wojciech
Lippert, Christoph
Computer Vision and Pattern Recognition
Deep neural two-sample tests have recently shown strong power for detecting distributional differences between groups, yet their black-box nature limits interpretability and practical adoption in biomedical analysis. Moreover, most existing post-hoc explainability methods rely on class labels, making them unsuitable for label-free statistical testing settings. We propose an explainable deep statistical testing framework that augments deep two-sample tests with sample-level and feature-level explanations, revealing which individual samples and which input features drive statistically significant group differences. Our method highlights which image regions and which individual samples contribute most to the detected group difference, providing spatial and instance-wise insight into the test's decision. Applied to biomedical imaging data, the proposed framework identifies influential samples and highlights anatomically meaningful regions associated with disease-related variation. This work bridges statistical inference and explainable AI, enabling interpretable, label-free population analysis in medical imaging.
title Towards Visually Explaining Statistical Tests with Applications in Biomedical Imaging
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2601.13899