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Survival Analysis and Reliability Theory are concerned with the analysis of time-to-event data, in which observations correspond to waiting times until an event of interest such as death from a particular disease or failure of a component…

Machine Learning · Statistics 2020-08-28 Tamara Fernandez , Nicolas Rivera , Wenkai Xu , Arthur Gretton

A concentration index, a standardized covariance between a health variable and relative income ranks, is often used to quantify income-related health inequalities. There is a lack of formal approach to study the effect of an exposure, e.g.,…

Methodology · Statistics 2025-01-14 Mohammad Ghasempour , Xavier de Luna , Per E. Gustafsson

In a high-dimensional regression framework, we study consequences of the naive two-step procedure where first the dimension of the input variables is reduced and second, the reduced input variables are used to predict the output variable…

Machine Learning · Statistics 2023-11-28 Stephan Eckstein , Armin Iske , Mathias Trabs

Counterfactual explanations can be obtained by identifying the smallest change made to a feature vector to qualitatively influence a prediction; for example, from 'loan rejected' to 'awarded' or from 'high risk of cardiovascular disease' to…

Machine Learning · Computer Science 2020-05-05 Martin Pawelczyk , Johannes Haug , Klaus Broelemann , Gjergji Kasneci

We consider the problem of estimating the density of observations taking values in classical or nonclassical spaces such as manifolds and more general metric spaces. Our setting is quite general but also sufficiently rich in allowing the…

Probability · Mathematics 2019-02-12 G. Cleanthous , A. Georgiadis , G. Kerkyacharian , P. Petrushev , D. Picard

While methods for measuring and correcting differential performance in risk prediction models have proliferated in recent years, most existing techniques can only be used to assess fairness across relatively large subgroups. The purpose of…

Methodology · Statistics 2024-01-30 Solvejg Wastvedt , Jared D Huling , Julian Wolfson

We introduce a distributionally robust maximum likelihood estimation model with a Wasserstein ambiguity set to infer the inverse covariance matrix of a $p$-dimensional Gaussian random vector from $n$ independent samples. The proposed model…

Optimization and Control · Mathematics 2018-05-21 Viet Anh Nguyen , Daniel Kuhn , Peyman Mohajerin Esfahani

We aim at estimating in a non-parametric way the density $\pi$ of the stationary distribution of a $d$-dimensional stochastic differential equation $(X_t)_{t \in [0, T]}$, for $d \ge 2$, from the discrete observations of a finite sample…

Statistics Theory · Mathematics 2022-12-29 Chiara Amorino , Arnaud Gloter

Counterfactual explanations have been successfully applied to create human interpretable explanations for various black-box models. They are handy for tasks in the image domain, where the quality of the explanations benefits from recent…

Machine Learning · Computer Science 2025-03-27 Trung Duc Ha , Sidney Bender

In this expository paper, we consider the problem of causal inference and efficient estimation for the counterfactual survivor function. This problem has previously been considered in the literature in several papers, each relying on the…

Methodology · Statistics 2025-10-02 Benjamin R. Baer , Ashkan Ertefaie , Robert L. Strawderman

We assume to be given structural equations over discrete variables inducing a directed acyclic graph, namely, a structural causal model, together with data about its internal nodes. The question we want to answer is how we can compute…

Artificial Intelligence · Computer Science 2023-12-05 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas , David Huber , Dario Azzimonti

This paper deals with the kernel density estimator based on the so-called sinc (or Fourier integral) kernel $K(x)=(\pi x)^{-1}\sin x$. We study in detail both asymptotic and finite sample properties of this estimator. It is shown that,…

Statistics Theory · Mathematics 2026-05-11 Ingrid Kristine Glad , Nils Lid Hjort , Nikolai G. Ushakov

This manuscript introduces the idea of using Distributionally Robust Optimization (DRO) for the Counterfactual Risk Minimization (CRM) problem. Tapping into a rich existing literature, we show that DRO is a principled tool for…

Machine Learning · Statistics 2019-12-17 Louis Faury , Ugo Tanielian , Flavian Vasile , Elena Smirnova , Elvis Dohmatob

We present counterfactual situation testing (CST), a causal data mining framework for detecting individual discrimination in a dataset of classifier decisions. CST answers the question ``what would have been the model outcome had the…

Machine Learning · Computer Science 2025-06-10 Jose M. Alvarez , Salvatore Ruggieri

Current meta-learning approaches focus on learning functional representations of relationships between variables, i.e. on estimating conditional expectations in regression. In many applications, however, we are faced with conditional…

Machine Learning · Statistics 2021-02-25 Jean-Francois Ton , Lucian Chan , Yee Whye Teh , Dino Sejdinovic

We present counterfactual situation testing (CST), a causal data mining framework for detecting discrimination in classifiers. CST aims to answer in an actionable and meaningful way the intuitive question "what would have been the model…

Machine Learning · Statistics 2024-01-25 Jose M. Alvarez , Salvatore Ruggieri

Multivariate density estimation is a popular technique in statistics with wide applications including regression models allowing for heteroskedasticity in conditional variances. The estimation problems become more challenging when…

Methodology · Statistics 2018-08-15 Zhen Li , Lili Wu , Weilian Zhou , Sujit Ghosh

Counterfactual explanation methods have recently received significant attention for explaining CNN-based image classifiers due to their ability to provide easily understandable explanations that align more closely with human reasoning.…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Syed Ali Tariq , Tehseen Zia

Generative models for counterfactual outcomes face two key sources of bias. Confounding bias arises when approaches fail to account for systematic differences between those who receive the intervention and those who do not. Misspecification…

Machine Learning · Statistics 2025-09-23 Alex Luedtke , Kenji Fukumizu

Sophisticated machine models are increasingly used for high-stakes decisions in everyday life. There is an urgent need to develop effective explanation techniques for such automated decisions. Rule-Based Explanations have been proposed for…

Machine Learning · Computer Science 2022-11-01 Zixuan Geng , Maximilian Schleich , Dan Suciu