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The analysis of samples of random objects that do not lie in a vector space is gaining increasing attention in statistics. An important class of such object data is univariate probability measures defined on the real line. Adopting the…

Methodology · Statistics 2021-07-07 Yaqing Chen , Zhenhua Lin , Hans-Georg Müller

The use of models, even if efficient, must be accompanied by an understanding at all levels of the process that transforms data (upstream and downstream). Thus, needs increase to define the relationships between individual data and the…

Machine Learning · Statistics 2022-09-02 Dimitri Delcaillau , Antoine Ly , Alize Papp , Franck Vermet

We present a flexible framework for learning predictive models that approximately satisfy the equalized odds notion of fairness. This is achieved by introducing a general discrepancy functional that rigorously quantifies violations of this…

Machine Learning · Statistics 2020-06-09 Yaniv Romano , Stephen Bates , Emmanuel J. Candès

Machine learning systems are increasingly being used to make impactful decisions such as loan applications and criminal justice risk assessments, and as such, ensuring fairness of these systems is critical. This is often challenging as the…

Machine Learning · Computer Science 2020-12-18 YooJung Choi , Meihua Dang , Guy Van den Broeck

To mitigate the bias exhibited by machine learning models, fairness criteria can be integrated into the training process to ensure fair treatment across all demographics, but it often comes at the expense of model performance. Understanding…

Machine Learning · Computer Science 2023-06-06 Ruicheng Xian , Lang Yin , Han Zhao

Assessing the fairness of a decision making system with respect to a protected class, such as gender or race, is challenging when class membership labels are unavailable. Probabilistic models for predicting the protected class based on…

Applications · Statistics 2018-11-28 Jiahao Chen , Nathan Kallus , Xiaojie Mao , Geoffry Svacha , Madeleine Udell

A wide variety of model explanation approaches have been proposed in recent years, all guided by very different rationales and heuristics. In this paper, we take a new route and cast interpretability as a statistical inference problem. We…

Machine Learning · Computer Science 2024-01-01 Hugo Henri Joseph Senetaire , Damien Garreau , Jes Frellsen , Pierre-Alexandre Mattei

The post-processing approaches are becoming prominent techniques to enhance machine learning models' fairness because of their intuitiveness, low computational cost, and excellent scalability. However, most existing post-processing methods…

Machine Learning · Computer Science 2025-03-21 Gang Li , Qihang Lin , Ayush Ghosh , Tianbao Yang

Score matching provides an effective approach to learning flexible unnormalized models, but its scalability is limited by the need to evaluate a second-order derivative. In this paper, we present a scalable approximation to a general family…

Machine Learning · Statistics 2020-02-19 Ziyu Wang , Shuyu Cheng , Yueru Li , Jun Zhu , Bo Zhang

We propose REpresentation-Aware Distributionally Robust Estimation (READ), a novel framework for Wasserstein distributionally robust learning that accounts for predictive representations when guarding against distributional shifts. Unlike…

Methodology · Statistics 2025-09-12 Zitao Wang , Nian Si , Molei Liu

This paper examines the issue of fairness in the estimation of graphical models (GMs), particularly Gaussian, Covariance, and Ising models. These models play a vital role in understanding complex relationships in high-dimensional data.…

Machine Learning · Computer Science 2024-11-11 Zhuoping Zhou , Davoud Ataee Tarzanagh , Bojian Hou , Qi Long , Li Shen

A salient approach to interpretable machine learning is to restrict modeling to simple models. In the Bayesian framework, this can be pursued by restricting the model structure and prior to favor interpretable models. Fundamentally,…

Machine Learning · Computer Science 2020-09-08 Homayun Afrabandpey , Tomi Peltola , Juho Piironen , Aki Vehtari , Samuel Kaski

When using machine learning for automated prediction, it is important to account for fairness in the prediction. Fairness in machine learning aims to ensure that biases in the data and model inaccuracies do not lead to discriminatory…

Machine Learning · Computer Science 2024-12-10 Jan Pablo Burgard , João Vitor Pamplona

This paper introduces Wasserstein variational inference, a new form of approximate Bayesian inference based on optimal transport theory. Wasserstein variational inference uses a new family of divergences that includes both f-divergences and…

Fairness and interpretability play an important role in the adoption of decision-making algorithms across many application domains. These requirements are intended to avoid undesirable group differences and to alleviate concerns related to…

Econometrics · Economics 2025-09-16 Nora Bearth , Michael Lechner , Jana Mareckova , Fabian Muny

The measurement of bias in machine learning often focuses on model performance across identity subgroups (such as man and woman) with respect to groundtruth labels. However, these methods do not directly measure the associations that a…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Osman Aka , Ken Burke , Alex Bäuerle , Christina Greer , Margaret Mitchell

The ability to understand and trust the fairness of model predictions, particularly when considering the outcomes of unprivileged groups, is critical to the deployment and adoption of machine learning systems. SHAP values provide a unified…

Machine Learning · Computer Science 2020-06-29 James M. Hickey , Pietro G. Di Stefano , Vlasios Vasileiou

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

The Boltzmann machine provides a useful framework to learn highly complex, multimodal and multiscale data distributions that occur in the real world. The default method to learn its parameters consists of minimizing the Kullback-Leibler…

Machine Learning · Statistics 2015-07-09 Grégoire Montavon , Klaus-Robert Müller , Marco Cuturi

We study the estimation problem of distribution-on-distribution regression, where both predictors and responses are probability measures. Existing approaches typically rely on a global optimal transport map or tangent-space linearization,…

Machine Learning · Statistics 2025-11-17 Inga Girshfeld , Xiaohui Chen