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Concerns about algorithmic bias and fairness have increased as artificial intelligence has been incorporated into high-stakes decision-making. Traditional Naive Bayes classifiers, while efficient and interpretable, lack fairness-awareness…

We deal with Bayesian generative and discriminative classifiers. Given a model distribution $p(x, y)$, with the observation $y$ and the target $x$, one computes generative classifiers by firstly considering $p(x, y)$ and then using the…

Machine Learning · Statistics 2022-07-25 Elie Azeraf , Emmanuel Monfrini , Wojciech Pieczynski

For many classification and regression problems, a large number of features are available for possible use - this is typical of DNA microarray data on gene expression, for example. Often, for computational or other reasons, only a small…

Statistics Theory · Mathematics 2007-06-13 Longhai Li , Jianguo Zhang , Radford M. Neal

High-dimensional categorical data arise in diverse scientific domains and are often accompanied by covariates. Latent class regression models are routinely used in such settings, reducing dimensionality by assuming conditional independence…

Methodology · Statistics 2026-05-28 Yuren Zhou , Yuqi Gu , David B. Dunson

Predictive uncertainty quantification is crucial for reliable decision-making in various applied domains. Bayesian neural networks offer a powerful framework for this task. However, defining meaningful priors and ensuring computational…

Machine Learning · Computer Science 2024-04-30 Yijia Liu , Xiao Wang

Deep learning-based discriminative classifiers, despite their remarkable success, remain vulnerable to adversarial examples that can mislead model predictions. While adversarial training can enhance robustness, it fails to address the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Chunheng Zhao , Pierluigi Pisu , Gurcan Comert , Negash Begashaw , Varghese Vaidyan , Nina Christine Hubig

Training adversarially robust discriminative (i.e., softmax) classifier has been the dominant approach to robust classification. Building on recent work on adversarial training (AT)-based generative models, we investigate using AT to learn…

Machine Learning · Computer Science 2022-12-15 Xuwang Yin

In this paper we present a new Bayesian network model for classification that combines the naive-Bayes (NB) classifier and the finite-mixture (FM) classifier. The resulting classifier aims at relaxing the strong assumptions on which the two…

Machine Learning · Computer Science 2013-01-30 Stefano Monti , Gregory F. Cooper

In this paper, a new learning algorithm for adaptive network intrusion detection using naive Bayesian classifier and decision tree is presented, which performs balance detections and keeps false positives at acceptable level for different…

Artificial Intelligence · Computer Science 2010-07-15 Dewan Md. Farid , Nouria Harbi , Mohammad Zahidur Rahman

Learning a parametric model from a given dataset indeed enables to capture intrinsic dependencies between random variables via a parametric conditional probability distribution and in turn predict the value of a label variable given…

Machine Learning · Statistics 2024-06-14 Elouan Argouarc'h , François Desbouvries , Eric Barat , Eiji Kawasaki

Naive Bayes has been widely used in many applications because of its simplicity and ability in handling both numerical data and categorical data. However, lack of modeling of correlations between features limits its performance. In…

Machine Learning · Computer Science 2023-04-06 Shihe Wang , Jianfeng Ren , Xiaoyu Lian , Ruibin Bai , Xudong Jiang

Recently, many improved naive Bayes methods have been developed with enhanced discrimination capabilities. Among them, regularized naive Bayes (RNB) produces excellent performance by balancing the discrimination power and generalization…

Machine Learning · Computer Science 2023-04-19 Shihe Wang , Jianfeng Ren , Ruibin Bai

We present a growing dimension asymptotic formalism. The perspective in this paper is classification theory and we show that it can accommodate probabilistic networks classifiers, including naive Bayes model and its augmented version. When…

Machine Learning · Computer Science 2013-01-07 Tatjana Pavlenko , Dietrich von Rosen

The tremendous success of generative models in recent years raises the question whether they can also be used to perform classification. Generative models have been used as adversarially robust classifiers on simple datasets such as MNIST,…

Machine Learning · Statistics 2021-12-14 Roland S. Zimmermann , Lukas Schott , Yang Song , Benjamin A. Dunn , David A. Klindt

While the manifold hypothesis is widely adopted in modern machine learning, complex data is often better modeled as stratified spaces -- unions of manifolds (strata) of varying dimensions. Stratified learning is challenging due to varying…

Machine Learning · Statistics 2026-04-14 Randy Martinez , Rong Tang , Lizhen Lin

Most classifiers rely on discriminative boundaries that separate instances of each class from everything else. We argue that discriminative boundaries are counter-intuitive as they define semantics by what-they-are-not; and should be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Wen-Yan Lin , Siying Liu , Bing Tian Dai , Hongdong Li

We develop a new framework for learning variational autoencoders and other deep generative models that balances generative and discriminative goals. Our framework optimizes model parameters to maximize a variational lower bound on the…

Machine Learning · Computer Science 2020-12-15 Gabriel Hope , Madina Abdrakhmanova , Xiaoyin Chen , Michael C. Hughes , Michael C. Hughes , Erik B. Sudderth

In quantitative genetics, statistical modeling techniques are used to facilitate advances in the understanding of which genes underlie agronomically important traits and have enabled the use of genome-wide markers to accelerate genetic…

Methodology · Statistics 2021-10-29 Suyoung Park , Alexander E. Lipka , Daniel J. Eck

In this paper, we study the accuracy of values aggregated over classes predicted by a classification algorithm. The problem is that the resulting aggregates (e.g., sums of a variable) are known to be biased. The bias can be large even for…

Machine Learning · Statistics 2019-12-02 Q. A. Meertens , C. G. H. Diks , H. J. van den Herik , F W Takes

We introduce GEDI, a Bayesian framework that combines existing self-supervised learning objectives with likelihood-based generative models. This framework leverages the benefits of both GEnerative and DIscriminative approaches, resulting in…

Machine Learning · Computer Science 2023-04-25 Emanuele Sansone , Robin Manhaeve