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Functional dependencies (FDs) specify the intended data semantics while violations of FDs indicate deviation from these semantics. In this paper, we study a data cleaning problem in which the FDs may not be completely correct, e.g., due to…

Databases · Computer Science 2012-07-25 George Beskales , Ihab F. Ilyas , Lukasz Golab , Artur Galiullin

In this paper an approach to automated deduction under uncertainty,based on possibilistic logic, is proposed ; for that purpose we deal with clauses weighted by a degree which is a lower bound of a necessity or a possibility measure,…

Artificial Intelligence · Computer Science 2013-04-08 Didier Dubois , Jerome Lang , Henri Prade

Evaluating treatment effect heterogeneity widely informs treatment decision making. At the moment, much emphasis is placed on the estimation of the conditional average treatment effect via flexible machine learning algorithms. While these…

Methodology · Statistics 2021-05-07 Lihua Lei , Emmanuel J. Candès

The functional interpretation is a systematic, syntactic method for transforming certain non-constructive proofs into constructive proofs with explicit bounds. We illustrate the interpretation by working through a concrete, fairly simple…

Logic · Mathematics 2015-03-20 Henry Towsner

Counterfactual inference aims to estimate the counterfactual outcome at the individual level given knowledge of an observed treatment and the factual outcome, with broad applications in fields such as epidemiology, econometrics, and…

Machine Learning · Computer Science 2025-10-06 Peng Wu , Haoxuan Li , Chunyuan Zheng , Yan Zeng , Jiawei Chen , Yang Liu , Ruocheng Guo , Kun Zhang

We consider the problem of constructing distribution-free prediction sets with finite-sample conditional guarantees. Prior work has shown that it is impossible to provide exact conditional coverage universally in finite samples. Thus, most…

Methodology · Statistics 2024-09-18 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

Interpretability research takes counterfactual theories of causality for granted. Most causal methods rely on counterfactual interventions to inputs or the activations of particular model components, followed by observations of the change…

Machine Learning · Computer Science 2024-07-08 Aaron Mueller

Belief functions are a powerful and popular framework for the mathematical characterisation of uncertainty, in particular in situations in which lack of data renders learning a probability distribution for the problem impractical. The first…

Statistics Theory · Mathematics 2026-05-11 Fabio Cuzzolin

Cantor's ordinal numbers, a powerful extension of the natural numbers, are a cornerstone of set theory. They can be used to reason about the termination of processes, prove the consistency of logical systems, and justify some of the core…

Logic in Computer Science · Computer Science 2025-10-22 Tom de Jong , Nicolai Kraus , Fredrik Nordvall Forsberg , Chuangjie Xu

If uncertainty is modelled by a probability measure, decisions are typically made by choosing the option with the highest expected utility. If an imprecise probability model is used instead, this decision rule can be generalised in several…

Artificial Intelligence · Computer Science 2020-03-27 Jasper De Bock

Offline reinforcement learning (RL) promises the ability to learn effective policies solely using existing, static datasets, without any costly online interaction. To do so, offline RL methods must handle distributional shift between the…

Machine Learning · Computer Science 2023-10-31 Joey Hong , Aviral Kumar , Sergey Levine

Work in Counterfactual Explanations tends to focus on the principle of "the closest possible world" that identifies small changes leading to the desired outcome. In this paper we argue that while this approach might initially seem…

Machine Learning · Computer Science 2020-02-25 Rafael Poyiadzi , Kacper Sokol , Raul Santos-Rodriguez , Tijl De Bie , Peter Flach

We consider here together the inference questions and the change-point problem in Poisson autoregressions (see Tj{\o}stheim, 2012). The conditional mean (or intensity) of the process is involved as a non-linear function of it past values…

Statistics Theory · Mathematics 2013-05-09 Paul Doukhan , William Kengne

There has been considerable recent interest in explainability in AI, especially with black-box machine learning models. As correctly observed by the planning community, when the application at hand is not a single-shot decision or…

Artificial Intelligence · Computer Science 2025-02-14 Vaishak Belle

We initiate the study of fairness for ordinal regression. We adapt two fairness notions previously considered in fair ranking and propose a strategy for training a predictor that is approximately fair according to either notion. Our…

We consider counterfactual explanations, the problem of minimally adjusting features in a source input instance so that it is classified as a target class under a given classifier. This has become a topic of recent interest as a way to…

Machine Learning · Computer Science 2021-03-02 Miguel Á. Carreira-Perpiñán , Suryabhan Singh Hada

We give estimates for the convolution product of an arbitrary number of endlessly continuable functions. This allows us to deal with nonlinear operations for the corresponding resurgent series, e.g. substitution into a convergent power…

Dynamical Systems · Mathematics 2016-09-07 Shingo Kamimoto , David Sauzin

Assume that an estimator is asymptotically normal for a target parameter under some conditions. Suppose also that one can test these conditions, and one conducts inference for the target only if the pre-test is not rejected. Does such…

Econometrics · Economics 2026-04-21 Clément de Chaisemartin , Xavier D'Haultfœuille

A general framework with a series of different methods is proposed to improve the estimate of convex function (or functional) values when only noisy observations of the true input are available. Technically, our methods catch the bias…

Methodology · Statistics 2022-09-15 Chao Ma , Lexing Ying

Counterfactual explanations are widely used to interpret machine learning predictions by identifying minimal changes to input features that would alter a model's decision. However, most existing counterfactual methods have not been tested…

Machine Learning · Computer Science 2026-02-03 Leonidas Christodoulou , Chang Sun
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