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A new unimodal distribution family indexed by the mode and three other parameters is derived from a mixture of a Gumbel distribution for the maximum and a Gumbel distribution for the minimum. Properties of the proposed distribution are…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang , Haiming Zhou

Drawing parallels with the way biological networks are studied, we adapt the treatment--control paradigm to explainable artificial intelligence research and enrich it through multi-parametric input alterations. In this study, we propose a…

Machine Learning · Statistics 2026-01-16 Pavel Kharyuk , Sergey Matveev , Ivan Oseledets

We define susceptibilities as a measure of the response of an observable quantity of a parameterized statistical model to a perturbation of the data for a general class of observables. We define estimators for these susceptibilities as…

Statistics Theory · Mathematics 2026-05-11 Chris Elliott , Daniel Murfet

We present a new procedure for conducting a sensitivity analysis in matched observational studies. For any candidate test statistic, the approach defines tilted modifications dependent upon the proposed strength of unmeasured confounding.…

Methodology · Statistics 2025-03-14 Colin B. Fogarty

Sensitivity analysis plays an important role in the development of computer models/simulators through identifying the contribution of each (uncertain) input factor to the model output variability. This report investigates different aspects…

Computation · Statistics 2022-06-24 Hossein Mohammadi , Peter Challenor , Clémentine Prieur

We consider the problem of estimating parameter sensitivity for Markovian models of reaction networks. Sensitivity values measure the responsiveness of an output to the model parameters. They help in analyzing the network, understanding its…

Probability · Mathematics 2014-04-18 Ankit Gupta , Mustafa Khammash

A new class of probability distributions closely connected to generalized hyperbolic distributions is introduced. It is more adapted to study the distributions of sums of random number of random variables. The properties of these…

Probability · Mathematics 2015-02-10 Lev B. Klebanov , Svetlozar T. Rachev

Open-set domain adaptation (OSDA) considers that the target domain contains samples from novel categories unobserved in external source domain. Unfortunately, existing OSDA methods always ignore the demand for the information of unseen…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Taotao Jing , Hongfu Liu , Zhengming Ding

The method of derivative based global sensitivity measures (DGSM) has recently become popular among practitioners. It has a strong link with the Morris screening method and Sobol' sensitivity indices and has several advantages over them.…

Statistics Theory · Mathematics 2023-12-05 Serge Kucherenko , Bertrand Iooss

Ensuring that a predictor is not biased against a sensible feature is the key of Fairness learning. Conversely, Global Sensitivity Analysis is used in numerous contexts to monitor the influence of any feature on an output variable. We…

Statistics Theory · Mathematics 2021-09-21 Clément Bénesse , Fabrice Gamboa , Jean-Michel Loubes , Thibaut Boissin

Some classical uncertainty quantification problems require the estimation of multiple expectations. Estimating all of them accurately is crucial and can have a major impact on the analysis to perform, and standard existing Monte Carlo…

Methodology · Statistics 2022-12-02 Julien Demange-Chryst , François Bachoc , Jérôme Morio

We address the question of sensitivity analysis for model outputs of any dimension using Regional Sensitivity Analysis (RSA). Classical RSA computes sensitivity indices related to the impact of model inputs variations on the occurrence of a…

Statistics Theory · Mathematics 2022-11-04 Sébastien Roux , Patrice Loisel , Samuel Buis

Observational cohort studies with oversampled exposed subjects are typically implemented to understand the causal effect of a rare exposure. Because the distribution of exposed subjects in the sample differs from the source population,…

Methodology · Statistics 2019-02-14 Sherri Rose

A frequentist definition of sensitivity of a search for new phenomena is discussed, that has several useful properties. It is based on completely standard concepts, is generally applicable, and has a very clear interpretation. It is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Giovanni Punzi

In sparse target inference problems it has been shown that significant gains can be achieved by adaptive sensing using convex criteria. We generalize previous work on adaptive sensing to (a) include multiple classes of targets with…

Information Theory · Computer Science 2014-09-30 Gregory E. Newstadt , Beipeng Mu , Dennis Wei , Jonathan P. How , Alfred O. Hero

Sensitivity analysis in probabilistic discrete graphical models is usually conducted by varying one probability value at a time and observing how this affects output probabilities of interest. When one probability is varied then others are…

Statistics Theory · Mathematics 2021-01-14 Manuele Leonelli , Eva Riccomagno

Semi-Supervised Object Detection (SSOD), aiming to explore unlabeled data for boosting object detectors, has become an active task in recent years. However, existing SSOD approaches mainly focus on horizontal objects, leaving multi-oriented…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Wei Hua , Dingkang Liang , Jingyu Li , Xiaolong Liu , Zhikang Zou , Xiaoqing Ye , Xiang Bai

Many methods are available for assessing the importance of omitted variables in linear regression. These methods typically make different, non-falsifiable assumptions. Hence the data alone cannot tell us which method is most appropriate.…

Econometrics · Economics 2026-02-05 Paul Diegert , Matthew A. Masten , Alexandre Poirier

Around a solution of an optimization problem, an "identifiable" subset of the feasible region is one containing all nearby solutions after small perturbations to the problem. A quest for only the most essential ingredients of sensitivity…

Optimization and Control · Mathematics 2012-07-30 Dmitriy Drusvyatskiy , Adrian S. Lewis

In this paper, we propose two new flexible Gini indices (extended lower and upper) defined via differences between the $i$-th observation, the smallest order statistic, and the largest order statistic, for any $1 \leqslant i \leqslant m$.…

Methodology · Statistics 2025-06-03 Roberto Vila , Helton Saulo