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Both the Bayes factor and the relative belief ratio satisfy the principle of evidence and so can be seen to be valid measures of statistical evidence. Certainly Bayes factors are regularly employed. The question then is: which of these…

Statistics Theory · Mathematics 2024-02-28 Luai Al-Labadi , Ayman Alzaatreh , Michael Evans

Robust estimators, like the median of a point set, are important for data analysis in the presence of outliers. We study robust estimators for locationally uncertain points with discrete distributions. That is, each point in a data set has…

Discrete Mathematics · Computer Science 2018-03-14 Kevin Buchin , Jeff M. Phillips , Pingfan Tang

Network robustness research aims at finding a measure to quantify network robustness. Once such a measure has been established, we will be able to compare networks, to improve existing networks and to design new networks that are able to…

Discrete Mathematics · Computer Science 2013-11-21 W. Ellens , R. E. Kooij

Risk assessment of a robot in controlled environments, such as laboratories and proving grounds, is a common means to assess, certify, validate, verify, and characterize the robots' safety performance before, during, and even after their…

Robotics · Computer Science 2025-01-29 Linda Capito , Guillermo A. Castillo , Bowen Weng

We introduce a metric for evaluating the robustness of a classifier, with particular attention to adversarial perturbations, in terms of expected functionality with respect to possible adversarial perturbations. A classifier is assumed to…

Machine Learning · Computer Science 2023-09-19 Ryan McCoppin , Colin Dawson , Sean M. Kennedy , Leslie M. Blaha

The trade-off between robustness and accuracy has been widely studied in the adversarial literature. Although still controversial, the prevailing view is that this trade-off is inherent, either empirically or theoretically. Thus, we dig for…

Machine Learning · Computer Science 2022-06-17 Tianyu Pang , Min Lin , Xiao Yang , Jun Zhu , Shuicheng Yan

There is an increasing number of potential biomarkers that could allow for early assessment of treatment response or disease progression. However, measurements of quantitative biomarkers are subject to random variability. Hence, differences…

Methodology · Statistics 2026-03-02 Moritz Fabian Danzer , Maria Eveslage , Dennis Görlich , Benjamin Noto

With growing applications of Machine Learning (ML) techniques in the real world, it is highly important to ensure that these models work in an equitable manner. One main step in ensuring fairness is to effectively measure fairness, and to…

Machine Learning · Computer Science 2024-06-21 Abdalwahab Almajed , Maryam Tabar , Peyman Najafirad

The coefficient of variation (CV) is commonly used to measure relative dispersion. However, since it is based on the sample mean and standard deviation, outliers can adversely affect the CV. Additionally, for skewed distributions the mean…

Statistics Theory · Mathematics 2020-09-28 Chandima N. P. G. Arachchige , Luke A. Prendergast , Robert G. Staudte

A crucial challenge in network theory is the study of the robustness of a network after facing a sequence of failures. In this work, we propose a dynamical definition of network's robustness based on Information Theory, that considers…

Adversarial attack perturbs an image with an imperceptible noise, leading to incorrect model prediction. Recently, a few works showed inherent bias associated with such attack (robustness bias), where certain subgroups in a dataset (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Gaurav Kumar Nayak , Ruchit Rawal , Rohit Lal , Himanshu Patil , Anirban Chakraborty

Feature based explanations, that provide importance of each feature towards the model prediction, is arguably one of the most intuitive ways to explain a model. In this paper, we establish a novel set of evaluation criteria for such feature…

Machine Learning · Computer Science 2021-04-12 Cheng-Yu Hsieh , Chih-Kuan Yeh , Xuanqing Liu , Pradeep Ravikumar , Seungyeon Kim , Sanjiv Kumar , Cho-Jui Hsieh

Network robustness is critical for various industrial and social networks against malicious attacks, which has various meanings in different research contexts and here it refers to the ability of a network to sustain its functionality when…

Social and Information Networks · Computer Science 2023-02-09 Yang Lou , Lin Wang , Guanrong Chen

Distance-based classification is among the most competitive classification methods for time series data. The most critical component of distance-based classification is the selected distance function. Past research has proposed various…

Machine Learning · Computer Science 2020-08-19 Maximilian Toller , Bernhard C. Geiger , Roman Kern

Robust optimization (RO) is a common approach to tractably obtain safeguarding solutions for optimization problems with uncertain constraints. In this paper, we study a statistical framework to integrate data into RO, based on learning a…

Optimization and Control · Mathematics 2020-03-03 L. Jeff Hong , Zhiyuan Huang , Henry Lam

Not all experiments publish their results with a description of the correlations between the data points. This makes it difficult to do hypothesis tests or model fits with that data, since just assuming no correlation can lead to an over-…

Data Analysis, Statistics and Probability · Physics 2021-06-30 Lukas Koch

Dynamic response of loads has a significant effect on system stability and directly determines the stability margin of the operating point. Inherent uncertainty and natural variability of load models make the stability assessment especially…

Systems and Control · Computer Science 2015-04-15 Hung D. Nguyen , Konstantin Turitsyn

Despite the significant advances in deep learning over the past decade, a major challenge that limits the wide-spread adoption of deep learning has been their fragility to adversarial attacks. This sensitivity to making erroneous…

Machine Learning · Computer Science 2021-06-21 Hossein Aboutalebi , Mohammad Javad Shafiee , Michelle Karg , Christian Scharfenberger , Alexander Wong

Bayesian inference and Gaussian processes are widely used in applications ranging from robotics and control to biological systems. Many of these applications are safety-critical and require a characterization of the uncertainty associated…

Machine Learning · Computer Science 2018-10-26 Luca Cardelli , Marta Kwiatkowska , Luca Laurenti , Andrea Patane

We study distributions of persistent homology barcodes associated to taking subsamples of a fixed size from metric measure spaces. We show that such distributions provide robust invariants of metric measure spaces, and illustrate their use…

Computational Geometry · Computer Science 2014-01-20 Andrew J. Blumberg , Itamar Gal , Michael A. Mandell , Matthew Pancia