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Robustness analysis is an emerging field in the domain of uncertainty quantification. It consists of analysing the response of a computer model with uncertain inputs to the perturbation of one or several of its input distributions. Thus, a…

Statistics Theory · Mathematics 2020-12-16 Clement Gauchy , Jerome Stenger , Roman Sueur , Bertrand Iooss

The exploration \& exploitation dilemma poses significant challenges in reinforcement learning (RL). Recently, curiosity-based exploration methods achieved great success in tackling hard-exploration problems. However, they necessitate…

Machine Learning · Computer Science 2024-12-06 Yiran Wang , Chenshu Liu , Yunfan Li , Sanae Amani , Bolei Zhou , Lin F. Yang

Exploratory factor analysis is often used in the social sciences to estimate potential measurement models. To do this, several important issues need to be addressed: (1) determining the number of factors, (2) learning constraints in the…

Methodology · Statistics 2025-05-28 Dale S. Kim , Audrey Lu , Qing Zhou

Robust estimators and Wald-type tests are developed for the multinomial logistic regression based on $\phi$-divergence measures. The robustness of the proposed estimators and tests is proved through the study of their influence functions…

Statistics Theory · Mathematics 2021-02-08 Elena Castilla , Pedro J. Chocano

This paper addresses the problem of providing robust estimators under a functional logistic regression model. Logistic regression is a popular tool in classification problems with two populations. As in functional linear regression,…

Methodology · Statistics 2023-08-16 Graciela Boente , Marina Valdora

Here we introduce the idea of using rational expectations, a core concept in economics and finance, as a tool to predict the optimal failure time for a wide class of weighted k-out-of-n reliability systems. We illustrate the concept by…

Physics and Society · Physics 2021-12-21 Jorgen Vitting Andersen , Roy Cerqueti , Jessica Riccioni

Exploration is an essential component of reinforcement learning algorithms, where agents need to learn how to predict and control unknown and often stochastic environments. Reinforcement learning agents depend crucially on exploration to…

Machine Learning · Computer Science 2021-09-03 Susan Amin , Maziar Gomrokchi , Harsh Satija , Herke van Hoof , Doina Precup

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the…

Econometrics · Economics 2025-02-04 Jean-Yves Pitarakis

In this paper, we propose an easy-to-implement residual-based specification testing procedure for detecting structural changes in factor models, which is powerful against both smooth and abrupt structural changes with unknown break dates.…

Econometrics · Economics 2025-01-22 Bin Peng , Liangjun Su , Yayi Yan

In this paper, we introduce a novel method to generate interpretable regression function estimators. The idea is based on called data-dependent coverings. The aim is to extract from the data a covering of the feature space instead of a…

Statistics Theory · Mathematics 2021-01-27 Vincent Margot , Jean-Patrick Baudry , Frédéric Guilloux , Olivier Wintenberger

The problem of testing the reliability of ensemble forecasting systems is revisited. A popular tool to assess the reliability of ensemble forecasting systems (for scalar verifications) is the rank histogram, this histogram is expected to be…

Atmospheric and Oceanic Physics · Physics 2018-12-26 Jochen Bröcker

This paper concerns sequential computation of risk measures for financial data and asks how, given a risk measurement procedure, we can tell whether the answers it produces are `correct'. We draw the distinction between `external' and…

Risk Management · Quantitative Finance 2015-11-20 Mark H. A. Davis

The bus-factor is a measure of project risk with respect to personnel availability, informally defined as the number of people whose sudden unavailability would cause a project to stall or experience severe delays. Despite its intuitive…

Social and Information Networks · Computer Science 2026-03-10 Sebastiano A. Piccolo , Pasquale De Meo , Giorgio Terracina , Gianluigi Greco

Design and operation of complex engineering systems rely on reliability optimization. Such optimization requires us to account for uncertainties expressed in terms of compli-cated, high-dimensional probability distributions, for which only…

Optimization and Control · Mathematics 2021-09-22 Ji-Eun Byun , Johannes O. Royset

While recent years have witnessed the emergence of various explainable methods in machine learning, to what degree the explanations really represent the reasoning process behind the model prediction -- namely, the faithfulness of…

Computation and Language · Computer Science 2021-09-07 Yingqiang Ge , Shuchang Liu , Zelong Li , Shuyuan Xu , Shijie Geng , Yunqi Li , Juntao Tan , Fei Sun , Yongfeng Zhang

Context: Software testability is the degree to which a software system or a unit under test supports its own testing. To predict and improve software testability, a large number of techniques and metrics have been proposed by both…

Software Engineering · Computer Science 2018-12-07 Vahid Garousi , Michael Felderer , Feyza Nur Kilicaslan

The paper discusses how to evaluate the reliability of units produced by different production lines. The procedure is based on selecting independent random samples of units produced by different production lines and then evaluating…

We propose a classification of measurement apparatuses based on their reliability and accessibility. Our notion of reliability parameterises the possibility of getting unexpected wrong results when using the apparatus in a given time…

Quantum Physics · Physics 2024-07-26 Nicola Pranzini , Paola Verrucchi

Factor analysis is a classical data reduction technique that seeks a potentially lower number of unobserved variables that can account for the correlations among the observed variables. This paper presents an extension of the factor…

Methodology · Statistics 2013-12-04 Tsung-I Lin , Pal H. Wu , Geoffrey J. McLachlan , Sharon X. Lee

Replicability analysis aims to identify the findings that replicated across independent studies that examine the same features. We provide powerful novel replicability analysis procedures for two studies for FWER and for FDR control on the…

Methodology · Statistics 2019-03-01 Marina Bogomolov , Ruth Heller
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