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In this article we propose an extension to the typed natural deduction calculus TNDPQ to model verification of counterfactual fairness in probabilistic classifiers. This is obtained formulating specific structural conditions for causal…

Logic in Computer Science · Computer Science 2025-10-28 Leonardo Ceragioli , Giuseppe Primiero

We consider the problem of whether a given decision model, working with structured data, has individual fairness. Following the work of Dwork, a model is individually biased (or unfair) if there is a pair of valid inputs which are close to…

Machine Learning · Computer Science 2020-06-23 Philips George John , Deepak Vijaykeerthy , Diptikalyan Saha

The classical causal relations between a set of variables, some observed and some latent, can induce both equality constraints (typically conditional independences) as well as inequality constraints (Instrumental and Bell inequalities being…

Quantum Physics · Physics 2024-04-11 Shashaank Khanna , Marina Maciel Ansanelli , Matthew F. Pusey , Elie Wolfe

The validity OF a causal model can be tested ONLY IF the model imposes constraints ON the probability distribution that governs the generated data. IN the presence OF unmeasured variables, causal models may impose two types OF constraints :…

Artificial Intelligence · Computer Science 2013-01-07 Jin Tian , Judea Pearl

Despite the essential need for comprehensive considerations in responsible AI, factors like robustness, fairness, and causality are often studied in isolation. Adversarial perturbation, used to identify vulnerabilities in models, and…

Machine Learning · Computer Science 2024-02-07 Ahmad-Reza Ehyaei , Golnoosh Farnadi , Samira Samadi

This work investigates the intersection property of conditional independence. It states that for random variables $A,B,C$ and $X$ we have that $X$ independent of $A$ given $B,C$ and $X$ independent of $B$ given $A,C$ implies $X$ independent…

Probability · Mathematics 2016-08-18 Jonas Peters

In this paper we propose a causal modeling approach to intersectional fairness, and a flexible, task-specific method for computing intersectionally fair rankings. Rankings are used in many contexts, ranging from Web search results to…

Machine Learning · Computer Science 2020-06-17 Ke Yang , Joshua R. Loftus , Julia Stoyanovich

We propose a method to classify the causal relationship between two discrete variables given only the joint distribution of the variables, acknowledging that the method is subject to an inherent baseline error. We assume that the causal…

Machine Learning · Statistics 2016-11-07 Krzysztof Chalupka , Frederick Eberhardt , Pietro Perona

We investigate the possibility of distinguishing among different causal relations starting from a limited set of marginals. Our main tool is the notion of adhesivity, that is, the extension of probability or entropies defined only on…

Quantum Physics · Physics 2016-10-28 Costantino Budroni , Nikolai Miklin , Rafael Chaves

Intersectionality is a framework that analyzes how interlocking systems of power and oppression affect individuals along overlapping dimensions including race, gender, sexual orientation, class, and disability. Intersectionality theory…

Machine Learning · Computer Science 2019-09-11 James Foulds , Rashidul Islam , Kamrun Keya , Shimei Pan

Bell's theorem shows that our intuitive understanding of causation must be overturned in light of quantum correlations. Nevertheless, quantum mechanics does not permit signalling and hence a notion of cause remains. Understanding this…

Quantum Physics · Physics 2016-10-19 Mirjam Weilenmann , Roger Colbeck

Systems based on machine learning may exhibit discriminatory behavior based on sensitive characteristics such as gender, sex, religion, or race. In light of this, various notions of fairness and methods to quantify discrimination were…

Machine Learning · Computer Science 2024-12-23 Drago Plecko , Elias Bareinboim

As responsible AI gains importance in machine learning algorithms, properties such as fairness, adversarial robustness, and causality have received considerable attention in recent years. However, despite their individual significance,…

Machine Learning · Computer Science 2023-08-21 Ahmad-Reza Ehyaei , Kiarash Mohammadi , Amir-Hossein Karimi , Samira Samadi , Golnoosh Farnadi

We propose a method to infer causal structures containing both discrete and continuous variables. The idea is to select causal hypotheses for which the conditional density of every variable, given its causes, becomes smooth. We define a…

Machine Learning · Statistics 2009-10-30 Dominik Janzing , Xiaohai Sun , Bernhard Schoelkopf

This paper is directed towards combining Pearl's structural-model approach to causal reasoning with high-level formalisms for reasoning about actions. More precisely, we present a combination of Pearl's structural-model approach with…

Artificial Intelligence · Computer Science 2012-12-12 Alberto Finzi , Thomas Lukasiewicz

Counterfactual fairness alleviates the discrimination between the model prediction toward an individual in the actual world (observational data) and that in counterfactual world (i.e., what if the individual belongs to other sensitive…

Machine Learning · Computer Science 2023-03-28 Tri Dung Duong , Qian Li , Guandong Xu

We show that the d -separation criterion constitutes a valid test for conditional independence relationships that are induced by feedback systems involving discrete variables.

Artificial Intelligence · Computer Science 2013-02-18 Judea Pearl , Rina Dechter

Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

Machine Learning · Statistics 2017-12-05 Christopher Nowzohour , Peter Bühlmann

Long-term fairness algorithms aim to satisfy fairness beyond static and short-term notions by accounting for the dynamics between decision-making policies and population behavior. Most previous approaches evaluate performance and fairness…

Machine Learning · Computer Science 2026-05-22 Giovani Valdrighi , Isabel Valera , Marcos Medeiros Raimundo

Robustness to distribution shift and fairness have independently emerged as two important desiderata required of modern machine learning models. While these two desiderata seem related, the connection between them is often unclear in…

Machine Learning · Computer Science 2023-09-13 Maggie Makar , Alexander D'Amour
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