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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

In this work we discuss a novel model prior probability for variable selection in linear regression. The idea is to determine the prior mass in an objective sense, by considering the worth of each of the possible regression models, given…

Methodology · Statistics 2015-12-29 Cristiano Villa , Jeong Eun Lee

We consider penalized regression models under a unified framework where the particular method is determined by the form of the penalty term. We propose a fully Bayesian approach that incorporates both sparse and dense settings and show how…

Methodology · Statistics 2019-07-25 Ding Xiang , Galin L. Jones

Explainability of a classification model is crucial when deployed in real-world decision support systems. Explanations make predictions actionable to the user and should inform about the capabilities and limitations of the system. Existing…

Machine Learning · Computer Science 2022-12-13 Erwin Walraven , Ajaya Adhikari , Cor J. Veenman

Within the statistical and machine learning literature, regularization techniques are often used to construct sparse (predictive) models. Most regularization strategies only work for data where all predictors are treated identically, such…

Computation · Statistics 2020-12-16 Sander Devriendt , Katrien Antonio , Tom Reynkens , Roel Verbelen

Feature attribution methods, which explain an individual prediction made by a model as a sum of attributions for each input feature, are an essential tool for understanding the behavior of complex deep learning models. However, ensuring…

Machine Learning · Computer Science 2020-10-28 Ethan Weinberger , Joseph Janizek , Su-In Lee

Causal fairness in databases is crucial to preventing biased and inaccurate outcomes in downstream tasks. While most prior work assumes a known causal model, recent efforts relax this assumption by enforcing additional constraints. However,…

Machine Learning · Computer Science 2026-03-27 Ying Zheng , Yangfan Jiang , Kian-Lee Tan

Estimating the predictive uncertainty of a Bayesian learning model is critical in various decision-making problems, e.g., reinforcement learning, detecting adversarial attack, self-driving car. As the model posterior is almost always…

Machine Learning · Computer Science 2021-02-16 Yufei Cui , Wuguannan Yao , Qiao Li , Antoni B. Chan , Chun Jason Xue

In high-dimensional linear models, sparsity is often exploited to reduce variability and achieve parsimony. Equi-sparsity, where one assumes that predictors can be aggregated into groups sharing the same effects, is an alternative…

Methodology · Statistics 2025-10-02 Jinwen Fu , Aaron J. Molstad , Hui Zou

Logistic regression models for binomial responses are routinely used in statistical practice. However, the maximum likelihood estimate may not exist due to data separability. We address this issue by considering a conjugate prior penalty…

Methodology · Statistics 2022-02-18 Tommaso Rigon , Emanuele Aliverti

Regularization is often used in high-dimensional regression settings to generate a sparse model, which can save tremendous computing resources and identify predictors that are most strongly associated with the response. When the predictors…

Machine Learning · Statistics 2026-05-07 Jia Wei He , R. Ayesha Ali , Gerarda Darlington

In recent years, differentiable penalized likelihood methods have gained popularity, optimizing the causal structure by maximizing its likelihood with respect to the data. However, recent research has shown that errors in likelihood…

Machine Learning · Computer Science 2025-12-16 Mateusz Sypniewski , Mateusz Olko , Mateusz Gajewski , Piotr Miłoś

We consider the problem of learning a linear factor model. We propose a regularized form of principal component analysis (PCA) and demonstrate through experiments with synthetic and real data the superiority of resulting estimates to those…

Machine Learning · Computer Science 2013-05-31 Yi-Hao Kao , Benjamin Van Roy

We propose a penalized orthogonal-components regression (POCRE) for large p small n data. Orthogonal components are sequentially constructed to maximize, upon standardization, their correlation to the response residuals. A new penalization…

Methodology · Statistics 2013-04-18 Dabao Zhang , Yanzhu Lin , Min Zhang

We tackle the problem of building adaptive estimation procedures for ill-posed inverse problems. For general regularization methods depending on tuning parameters, we construct a penalized method that selects the optimal smoothing sequence…

Statistics Theory · Mathematics 2008-07-31 Jean-Michel Loubes , Carenne Ludeña

We propose a tree regularization framework, which enables many tree models to perform feature selection efficiently. The key idea of the regularization framework is to penalize selecting a new feature for splitting when its gain (e.g.…

Machine Learning · Computer Science 2012-03-22 Houtao Deng , George Runger

Detecting and understanding reasons for defects and inadvertent behavior in software is challenging due to their increasing complexity. In configurable software systems, the combinatorics that arises from the multitude of features a user…

Software Engineering · Computer Science 2022-03-01 Clemens Dubslaff , Kallistos Weis , Christel Baier , Sven Apel

Lack of independence in the residuals from linear regression motivates the use of random effect models in many applied fields. We start from the one-way anova model and extend it to a general class of one-factor Bayesian mixed models,…

Methodology · Statistics 2019-12-04 Massimo Ventrucci , Daniela Cocchi , Gemma Burgazzi , Alex Laini

We propose a flexible class of models based on scale mixture of uniform distributions to construct shrinkage priors for covariance matrix estimation. This new class of priors enjoys a number of advantages over the traditional scale mixture…

Methodology · Statistics 2011-10-07 Hao Wang , Natesh S. Pillai

Bayesian model comparison requires the specification of a prior distribution on the parameter space of each candidate model. In this connection two concerns arise: on the one hand the elicitation task rapidly becomes prohibitive as the…

Methodology · Statistics 2011-02-16 Guido Consonni , Piero Veronese
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