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Consider informative selection of a sample from a finite population. Responses are realized as independent and identically distributed (i.i.d.) random variables with a probability density function (p.d.f.) f, referred to as the…

Statistics Theory · Mathematics 2012-11-26 Daniel Bonnéry , F. Jay Breidt , François Coquet

Counterfactual inference is a powerful tool, capable of solving challenging problems in high-profile sectors. To perform counterfactual inference, one requires knowledge of the underlying causal mechanisms. However, causal mechanisms cannot…

Machine Learning · Computer Science 2023-01-23 Athanasios Vlontzos , Bernhard Kainz , Ciaran M. Gilligan-Lee

We develop new robust discrete choice tools to learn about the average willingness to pay for a price subsidy and its effects on demand given exogenous, discrete variation in prices. Our starting point is a nonparametric, nonseparable model…

General Economics · Economics 2024-08-21 Vishal Kamat , Samuel Norris

Counterfactual explanations have been a popular method of post-hoc explainability for a variety of settings in Machine Learning. Such methods focus on explaining classifiers by generating new data points that are similar to a given…

Machine Learning · Computer Science 2024-10-21 Joshua Nathaniel Williams , Anurag Katakkar , Hoda Heidari , J. Zico Kolter

Counterfactual explanations elucidate algorithmic decisions by pointing to scenarios that would have led to an alternative, desired outcome. Giving insight into the model's behavior, they hint users towards possible actions and give grounds…

Machine Learning · Statistics 2024-04-05 Susanne Dandl , Kristin Blesch , Timo Freiesleben , Gunnar König , Jan Kapar , Bernd Bischl , Marvin Wright

Machine learning (ML) applications have automated numerous real-life tasks, improving both private and public life. However, the black-box nature of many state-of-the-art models poses the challenge of model verification; how can one be sure…

Machine Learning · Computer Science 2022-01-19 Ioannis Papantonis , Vaishak Belle

The problem of individualization is recognized as crucial in almost every field. Identifying causes of effects in specific events is likewise essential for accurate decision making. However, such estimates invoke counterfactual…

Methodology · Statistics 2021-05-04 Scott Mueller , Ang Li , Judea Pearl

Counterfactual explanations for black-box models aim to pr ovide insight into an algorithmic decision to its recipient. For a binary classification problem an individual counterfactual details which features might be changed for the model…

Machine Learning · Statistics 2025-05-29 James M. Adams , Gesine Reinert , Lukasz Szpruch , Carsten Maple , Andrew Elliott

We predict credit applications with off-the-shelf, interchangeable black-box classifiers and we explain single predictions with counterfactual explanations. Counterfactual explanations expose the minimal changes required on the input data…

Artificial Intelligence · Computer Science 2018-11-19 Rory Mc Grath , Luca Costabello , Chan Le Van , Paul Sweeney , Farbod Kamiab , Zhao Shen , Freddy Lecue

The Ladder of Causation describes three qualitatively different types of activities an agent may be interested in engaging in, namely, seeing (observational), doing (interventional), and imagining (counterfactual) (Pearl and Mackenzie,…

Artificial Intelligence · Computer Science 2021-09-14 Juan D Correa , Sanghack Lee , Elias Bareinboim

Causal analysis may be affected by selection bias, which is defined as the systematic exclusion of data from a certain subpopulation. Previous work in this area focused on the derivation of identifiability conditions. We propose instead a…

Machine Learning · Statistics 2022-08-03 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas , David Huber , Dario Azzimonti

In this paper, we aim to explain the decisions of neural networks by utilizing multimodal information. That is counter-intuitive attributes and counter visual examples which appear when perturbed samples are introduced. Different from…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Sadaf Gulshad , Arnold Smeulders

Counterfactual explanations are gaining prominence within technical, legal, and business circles as a way to explain the decisions of a machine learning model. These explanations share a trait with the long-established "principal reason"…

Computers and Society · Computer Science 2019-12-12 Solon Barocas , Andrew D. Selbst , Manish Raghavan

Motivated by the need to analyze continuously updated data sets in the context of time-to-event modeling, we propose a novel nonparametric approach to estimate the conditional hazard function given a set of continuous and discrete…

Methodology · Statistics 2025-07-03 Daphné Aurouet , Valentin Patilea

In this paper we study the dynamics and ergodic theory of certain economic models which are implicitly defined. We consider 1-dimensional and 2-dimensional overlapping generations models, a cash-in-advance model, heterogeneous markets and a…

Dynamical Systems · Mathematics 2011-11-16 Eugen Mihailescu

This paper proposes a new semi-parametric identification and estimation approach to multinomial choice models in a panel data setting with individual fixed effects. Our approach is based on cyclic monotonicity, which is a defining feature…

Methodology · Statistics 2016-04-22 Xiaoxia Shi , Matthew Shum , Wei Song

This paper develops a framework to study the statistical power of revealed-preference tests. With randomly sampled budgets and mild smoothness of demand, statistical learning implies that any model consistent with the data must approximate…

Theoretical Economics · Economics 2026-02-12 Charles Gauthier , Raghav Malhotra , Agustin Troccoli Moretti

Sublinear functionals of random variables are known as sublinear expectations; they are convex homogeneous functionals on infinite-dimensional linear spaces. We extend this concept for set-valued functionals defined on measurable set-valued…

Probability · Mathematics 2021-01-15 Ilya Molchanov , Anja Mühlemann

We analyze the (unconditional) distribution of a linear predictor that is constructed after a data-driven model selection step in a linear regression model. First, we derive the exact finite-sample cumulative distribution function (cdf) of…

Statistics Theory · Mathematics 2008-12-02 Hannes Leeb

We present a general principle for estimating a regression function nonparametrically, allowing for a wide variety of data filtering, for example, repeated left truncation and right censoring. Both the mean and the median regression cases…

Statistics Theory · Mathematics 2011-02-10 Oliver Linton , Enno Mammen , Jens Perch Nielsen , Ingrid Van Keilegom