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This thesis responds to the challenges of using a large number, such as thousands, of features in regression and classification problems. There are two situations where such high dimensional features arise. One is when high dimensional…

Machine Learning · Statistics 2007-09-20 Longhai Li

We consider the problem of variable selection in Bayesian multivariate linear regression models, involving multiple response and predictor variables, under multivariate normal errors. In the absence of a known covariance structure,…

Methodology · Statistics 2025-07-25 Joyee Ghosh , Xun Li

Due to its linear complexity, naive Bayes classification remains an attractive supervised learning method, especially in very large-scale settings. We propose a sparse version of naive Bayes, which can be used for feature selection. This…

Machine Learning · Computer Science 2025-03-13 Armin Askari , Alexandre d'Aspremont , Laurent El Ghaoui

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

The goal of this paper is to compare several widely used Bayesian model selection methods in practical model selection problems, highlight their differences and give recommendations about the preferred approaches. We focus on the variable…

Methodology · Statistics 2017-12-18 Juho Piironen , Aki Vehtari

We study the phenomenon of bias amplification in classifiers, wherein a machine learning model learns to predict classes with a greater disparity than the underlying ground truth. We demonstrate that bias amplification can arise via an…

Machine Learning · Computer Science 2019-10-22 Klas Leino , Emily Black , Matt Fredrikson , Shayak Sen , Anupam Datta

Machine learning model bias can arise from dataset composition: correlated sensitive features can distort the downstream classification model's decision boundary and lead to performance differences along these features. Existing de-biasing…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Miao Zhang , Zee fryer , Ben Colman , Ali Shahriyari , Gaurav Bharaj

A general Bayesian framework for model selection on random network models regarding their features is considered. The goal is to develop a principle Bayesian model selection approach to compare different fittable, not necessarily nested,…

Methodology · Statistics 2020-04-30 Papamichalis Marios

Motivation: Gene selection has become a common task in most gene expression studies. The objective of such research is often to identify the smallest possible set of genes that can still achieve good predictive performance. The problem of…

Machine Learning methods have of late made significant efforts to solving multidisciplinary problems in the field of cancer classification using microarray gene expression data. Feature subset selection methods can play an important role in…

Computational Engineering, Finance, and Science · Computer Science 2013-03-04 G. Prat , Ll. Belanche

As machine learning is increasingly used to make real-world decisions, recent research efforts aim to define and ensure fairness in algorithmic decision making. Existing methods often assume a fixed set of observable features to define…

Machine Learning · Computer Science 2020-05-11 YooJung Choi , Golnoosh Farnadi , Behrouz Babaki , Guy Van den Broeck

We compare in this paper several feature selection methods for the Naive Bayes Classifier (NBC) when the data under study are described by a large number of redundant binary indicators. Wrapper approaches guided by the NBC estimation of the…

Machine Learning · Statistics 2015-06-16 Tsirizo Rabenoro , Jérôme Lacaille , Marie Cottrell , Fabrice Rossi

We study the problem of selecting limited features to observe such that models trained on them can perform well simultaneously across multiple subpopulations. This problem has applications in settings where collecting each feature is…

Machine Learning · Computer Science 2025-10-27 Maitreyi Swaroop , Tamar Krishnamurti , Bryan Wilder

In computational biology, gene expression datasets are characterized by very few individual samples compared to a large number of measurements per sample. Thus, it is appealing to merge these datasets in order to increase the number of…

Methodology · Statistics 2011-08-18 Meili Baragatti

In many real-world scenarios where data is high dimensional, test time acquisition of features is a non-trivial task due to costs associated with feature acquisition and evaluating feature value. The need for highly confident models with an…

Machine Learning · Computer Science 2019-09-17 Orpaz Goldstein , Mohammad Kachuee , Kimmo Karkkainen , Majid Sarrafzadeh

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

Methodology · Statistics 2026-01-12 Saku Suorsa , Aki Vehtari

In a typical supervised machine learning setting, the predictions on all test instances are based on a common subset of features discovered during model training. However, using a different subset of features that is most informative for…

Machine Learning · Computer Science 2021-06-10 Yasitha Warahena Liyanage , Daphney-Stavroula Zois , Charalampos Chelmis

Variable selection has played a critical role in modern statistical learning and scientific discoveries. Numerous regularization and Bayesian variable selection methods have been developed in the past two decades for variable selection, but…

Methodology · Statistics 2024-03-04 Travis Canida , Hongjie Ke , Shuo Chen , Zhenayo Ye , Tianzhou Ma

The problem of selecting the most useful features from a great many (eg, thousands) of candidates arises in many areas of modern sciences. An interesting problem from genomic research is that, from thousands of genes that are active…

Applications · Statistics 2018-05-15 Longhai Li , Weixin Yao

Feature selection is an important task in many problems occurring in pattern recognition, bioinformatics, machine learning and data mining applications. The feature selection approach enables us to reduce the computation burden and the…

Machine Learning · Computer Science 2016-08-30 Hadi Zare , Mojtaba Niazi
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