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We propose a two-sample testing procedure based on learned deep neural network representations. To this end, we define two test statistics that perform an asymptotic location test on data samples mapped onto a hidden layer. The tests are…

Machine Learning · Statistics 2020-03-11 Matthias Kirchler , Shahryar Khorasani , Marius Kloft , Christoph Lippert

Interpretability is highly desired for deep neural network-based classifiers, especially when addressing high-stake decisions in medical imaging. Commonly used post-hoc interpretability methods have the limitation that they can produce…

Image and Video Processing · Electrical Eng. & Systems 2024-01-04 Sourya Sengupta , Mark A. Anastasio

This paper reconsiders the problem of testing the equality of two unspecified continuous distributions. The framework, which we propose, allows for readable and insightful data visualisation and helps to understand and quantify how two…

Methodology · Statistics 2025-03-04 Bogdan Ćmiel , Teresa Ledwina

Two-sample testing is a fundamental problem in statistics. Despite its long history, there has been renewed interest in this problem with the advent of high-dimensional and complex data. Specifically, in the machine learning literature,…

Methodology · Statistics 2019-11-19 Ilmun Kim , Ann B. Lee , Jing Lei

Deep learning methods have been very effective for a variety of medical diagnostic tasks and has even beaten human experts on some of those. However, the black-box nature of the algorithms has restricted clinical use. Recent explainability…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Amitojdeep Singh , Sourya Sengupta , Vasudevan Lakshminarayanan

The increasing use of deep learning across various domains highlights the importance of understanding the decision-making processes of these black-box models. Recent research focusing on the decision boundaries of deep classifiers, relies…

Machine Learning · Computer Science 2024-08-13 Inês Gomes , Luís F. Teixeira , Jan N. van Rijn , Carlos Soares , André Restivo , Luís Cunha , Moisés Santos

For testing the statistical significance of a treatment effect, we usually compare between two parts of a population, one is exposed to the treatment, and the other is not exposed to it. Standard parametric and nonparametric two-sample…

Computation · Statistics 2012-11-02 Bikram Karmakar , Kumaresh Dhara , Kushal Kumar Dey , Analabha Basu , Anil Ghosh

How can we find interpretable, domain-appropriate models of natural phenomena given some complex, raw data such as images? Can we use such models to derive scientific insight from the data? In this paper, we propose some methods for…

Machine Learning · Computer Science 2024-02-06 Christopher J. Soelistyo , Alan R. Lowe

Explainable AI aims to render model behavior understandable by humans, which can be seen as an intermediate step in extracting causal relations from correlative patterns. Due to the high risk of possible fatal decisions in image-based…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Lukas Klein , João B. S. Carvalho , Mennatallah El-Assady , Paolo Penna , Joachim M. Buhmann , Paul F. Jaeger

Due to the cross-domain distribution shift aroused from diverse medical imaging systems, many deep learning segmentation methods fail to perform well on unseen data, which limits their real-world applicability. Recent works have shown the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Shangqi Gao , Hangqi Zhou , Yibo Gao , Xiahai Zhuang

We study the problem of understanding where two populations differ within a feature space, which we formalize in the concept of a differential subgroup: a subset of individuals from both populations who, despite sharing similar…

Machine Learning · Computer Science 2026-05-01 Sascha Xu , Jilles Vreeken

The success of deep learning has been witnessed as a promising technique for computer-aided biomedical image analysis, due to end-to-end learning framework and availability of large-scale labelled samples. However, in many cases of…

Computer Vision and Pattern Recognition · Computer Science 2019-08-02 Pengyi Zhang , Yunxin Zhong , Yulin Deng , Xiaoying Tang , Xiaoqiong Li

Artificial Intelligence has emerged as a useful aid in numerous clinical applications for diagnosis and treatment decisions. Deep neural networks have shown same or better performance than clinicians in many tasks owing to the rapid…

Image and Video Processing · Electrical Eng. & Systems 2021-11-05 Zohaib Salahuddin , Henry C Woodruff , Avishek Chatterjee , Philippe Lambin

Deep neural networks for medical image diagnosis often achieve high predictive accuracy while relying on spurious or clinically irrelevant visual cues, limiting their trustworthiness in practice. Post-hoc explanation methods are widely used…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Zubair Faruqui , Rahul Dubey

Hypothesis testing is a statistical inference approach used to determine whether data supports a specific hypothesis. An important type is the two-sample test, which evaluates whether two sets of data points are from identical…

Machine Learning · Computer Science 2025-01-08 Weizhi Li , Visar Berisha , Gautam Dasarathy

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

Quantitative Methods · Quantitative Biology 2014-05-16 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

An exciting recent development is the uptake of deep neural networks in many scientific fields, where the main objective is outcome prediction with the black-box nature. Significance testing is promising to address the black-box issue and…

Machine Learning · Statistics 2022-06-22 Ben Dai , Xiaotong Shen , Wei Pan

As interpretability has been pointed out as the obstacle to the adoption of Deep Neural Networks (DNNs), there is an increasing interest in solving a transparency issue to guarantee the impressive performance. In this paper, we demonstrate…

Image and Video Processing · Electrical Eng. & Systems 2021-07-20 Woo-Jeoung Nam , Seong-Whan Lee

Medical image segmentation is inherently uncertain. For a given image, there may be multiple plausible segmentation hypotheses, and physicians will often disagree on lesion and organ boundaries. To be suited to real-world application,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 João Lourenço Silva , Arlindo L. Oliveira

We study the problem of conditional two-sample testing, which aims to determine whether two populations have the same distribution after accounting for confounding factors. This problem commonly arises in various applications, such as…

Machine Learning · Statistics 2026-05-05 Seongchan Lee , Suman Cha , Ilmun Kim
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