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A lot of Machine Learning (ML) and Deep Learning (DL) research is of an empirical nature. Nevertheless, statistical significance testing (SST) is still not widely used. This endangers true progress, as seeming improvements over a baseline…

机器学习 · 计算机科学 2022-04-15 Dennis Ulmer , Christian Hardmeier , Jes Frellsen

During the last decade, deep neural networks (DNN) have demonstrated impressive performances solving a wide range of problems in various domains such as medicine, finance, law, etc. Despite their great performances, they have long been…

机器学习 · 计算机科学 2020-10-13 Jiechieu Kameni Florentin Flambeau , Tsopze Norbert

Significance testing aims to determine whether a proposition about the population distribution is the truth or not given observations. However, traditional significance testing often needs to derive the distribution of the testing…

机器学习 · 统计学 2024-01-25 Zehua Liu , Zimeng Li , Jingyuan Wang , Yue He

Deep Neural Networks (DNNs) have been extensively used in many areas including image processing, medical diagnostics, and autonomous driving. However, DNNs can exhibit erroneous behaviours that may lead to critical errors, especially when…

软件工程 · 计算机科学 2023-04-21 Zohreh Aghababaeyan , Manel Abdellatif , Lionel Briand , Ramesh S , Mojtaba Bagherzadeh

We develop a pivotal test to assess the statistical significance of the feature variables in a single-layer feedforward neural network regression model. We propose a gradient-based test statistic and study its asymptotics using…

统计理论 · 数学 2020-11-10 Enguerrand Horel , Kay Giesecke

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…

机器学习 · 统计学 2020-03-11 Matthias Kirchler , Shahryar Khorasani , Marius Kloft , Christoph Lippert

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…

计算机视觉与模式识别 · 计算机科学 2026-02-06 Masoumeh Javanbakhat , Piotr Komorowski , Dilyara Bareeva , Wei-Chang Lai , Wojciech Samek , Christoph Lippert

There is a well-known problem in Null Hypothesis Significance Testing: many statistically significant results fail to replicate in subsequent experiments. We show that this problem arises because standard `point-form null' significance…

统计方法学 · 统计学 2025-02-06 Fintan Costello , Paul Watts

Cluster analysis is a fundamental research issue in statistics and machine learning. In many modern clustering methods, we need to determine whether two subsets of samples come from the same cluster. Since these subsets are usually…

机器学习 · 计算机科学 2025-07-15 Xinying Liu , Lianyu Hu , Mudi Jiang , Simeng Zhang , Jun Lou , Zengyou He

This paper develops a scale-insensitive framework for neural network significance testing, substantially generalizing existing approaches through three key innovations. First, we replace metric entropy calculations with Rademacher…

机器学习 · 统计学 2025-02-07 Hasan Fallahgoul

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…

The success of Deep Learning and its potential use in many safety-critical applications has motivated research on formal verification of Neural Network (NN) models. Despite the reputation of learned NN models to behave as black boxes and…

人工智能 · 计算机科学 2018-05-23 Rudy Bunel , Ilker Turkaslan , Philip H. S. Torr , Pushmeet Kohli , M. Pawan Kumar

Classification and clustering are both important topics in statistical learning. A natural question herein is whether predefined classes are really different from one another, or whether clusters are really there. Specifically, we may be…

机器学习 · 统计学 2015-09-22 Qiyi Lu , Xingye Qiao

Deep neural networks are vulnerable to adversarial attacks and hard to interpret because of their black-box nature. The recently proposed invertible network is able to accurately reconstruct the inputs to a layer from its outputs, thus has…

机器学习 · 计算机科学 2019-10-16 Juntang Zhuang , Nicha C. Dvornek , Xiaoxiao Li , Junlin Yang , James S. Duncan

Note: This paper describes an older version of DeepLIFT. See https://arxiv.org/abs/1704.02685 for the newer version. Original abstract follows: The purported "black box" nature of neural networks is a barrier to adoption in applications…

机器学习 · 计算机科学 2017-04-12 Avanti Shrikumar , Peyton Greenside , Anna Shcherbina , Anshul Kundaje

Deep neural networks learn fragile "shortcut" features, rendering them difficult to interpret (black box) and vulnerable to adversarial attacks. This paper proposes semantic features as a general architectural solution to this problem. The…

机器学习 · 计算机科学 2024-04-18 Maciej Satkiewicz

This work is motivated by learning the individualized minimal clinically important difference, a vital concept to assess clinical importance in various biomedical studies. We formulate the scientific question into a high-dimensional…

统计方法学 · 统计学 2023-03-28 Huijie Feng , Jingyi Duan , Yang Ning , Jiwei Zhao

Deep neural networks (DNNs) have been shown to outperform traditional machine learning algorithms in a broad variety of application domains due to their effectiveness in modeling complex problems and handling high-dimensional datasets. Many…

We propose a class of kernel-based two-sample tests, which aim to determine whether two sets of samples are drawn from the same distribution. Our tests are constructed from kernels parameterized by deep neural nets, trained to maximize test…

机器学习 · 统计学 2021-01-15 Feng Liu , Wenkai Xu , Jie Lu , Guangquan Zhang , Arthur Gretton , Danica J. Sutherland

Despite the improved accuracy of deep neural networks, the discovery of adversarial examples has raised serious safety concerns. Most existing approaches for crafting adversarial examples necessitate some knowledge (architecture,…

计算机视觉与模式识别 · 计算机科学 2018-02-21 Matthew Wicker , Xiaowei Huang , Marta Kwiatkowska
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