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We study sequential testing for a binary disease outcome when risk follows an unknown logistic model. At each round, the decision maker may either pay for a test revealing the true label or predict the outcome based on patient features and…

机器学习 · 计算机科学 2026-05-05 Tavor Z. Baharav , Spyros Dragazis , Aldo Pacchiano

This paper is devoted to model selection in logistic regression. We extend the model selection principle introduced by Birg\'e and Massart (2001) to logistic regression model. This selection is done by using penalized maximum likelihood…

统计理论 · 数学 2015-09-01 Marius Kwemou , Marie-Luce Taupin , Anne-Sophie Tocquet

Ordinal data are quite common in applied statistics. Although some model selection and regularization techniques for categorical predictors and ordinal response models have been developed over the past few years, less work has been done…

统计方法学 · 统计学 2024-07-26 Aisouda Hoshiyar , Laura H. Gertheiss , Jan Gertheiss

We study the behavior of linear discriminant functions for binary classification in the infinite-imbalance limit, where the sample size of one class grows without bound while the sample size of the other remains fixed. The coefficients of…

机器学习 · 统计学 2023-05-15 Paul Glasserman , Mike Li

We consider the problem of $n$-class classification ($n\geq 2$), where the classifier can choose to abstain from making predictions at a given cost, say, a factor $\alpha$ of the cost of misclassification. Designing consistent algorithms…

机器学习 · 计算机科学 2015-05-18 Harish G. Ramaswamy , Ambuj Tewari , Shivani Agarwal

We analyze general model selection procedures using penalized empirical loss minimization under computational constraints. While classical model selection approaches do not consider computational aspects of performing model selection, we…

机器学习 · 统计学 2012-08-02 Alekh Agarwal , Peter L. Bartlett , John C. Duchi

Noisy pairwise comparison feedback has been incorporated to improve the overall query complexity of interactively learning binary classifiers. The \textit{positivity comparison oracle} is used to provide feedback on which is more likely to…

机器学习 · 计算机科学 2020-10-29 Zhenghang Cui , Issei Sato

Probabilistic classifiers are central for making informed decisions under uncertainty. Based on the maximum expected utility principle, optimal decision rules can be derived using the posterior class probabilities and misclassification…

机器学习 · 计算机科学 2025-03-25 Alexandre Perez-Lebel , Gael Varoquaux , Sanmi Koyejo , Matthieu Doutreligne , Marine Le Morvan

We have compiled a catalogue of eclipsing variable stars, the largest catalogue, containing classified eclipsing binaries. A procedure for the classification of eclipsing binaries, based on the catalogued data, is also developed. It was…

太阳与恒星天体物理 · 物理学 2013-06-20 Oleg Malkov , Ekaterina Avvakumova

Most classification methods provide either a prediction of class membership or an assessment of class membership probability. In the case of two-group classification the predicted probability can be described as "risk" of belonging to a…

机器学习 · 统计学 2011-10-28 Yizhar Toren

This article investigates unsupervised classification techniques for categorical multivariate data. The study employs multivariate multinomial mixture modeling, which is a type of model particularly applicable to multilocus genotypic data.…

统计理论 · 数学 2014-03-11 Dominique Bontemps , Wilson Toussile

Selection of important covariates and to drop the unimportant ones from a high-dimensional regression model is a long standing problem and hence have received lots of attention in the last two decades. After selecting the correct model, it…

统计理论 · 数学 2019-09-17 Debraj Das , Arindam Chatterjee , S. N. Lahiri

We propose a new approach, along with refinements, based on $L_1$ penalties and aimed at jointly estimating several related regression models. Its main interest is that it can be rewritten as a weighted lasso on a simple transformation of…

统计方法学 · 统计学 2014-11-07 Edouard Ollier , Vivian Viallon

We propose a penalized likelihood method to fit the linear discriminant analysis model when the predictor is matrix valued. We simultaneously estimate the means and the precision matrix, which we assume has a Kronecker product…

机器学习 · 统计学 2016-10-31 Aaron J. Molstad , Adam J. Rothman

We present a new approach for mitigating unfairness in learned classifiers. In particular, we focus on binary classification tasks over individuals from two populations, where, as our criterion for fairness, we wish to achieve similar false…

机器学习 · 计算机科学 2018-03-09 Yahav Bechavod , Katrina Ligett

Binary classification is one of the most common problem in machine learning. It consists in predicting whether a given element belongs to a particular class. In this paper, a new algorithm for binary classification is proposed using a…

机器学习 · 计算机科学 2019-03-12 Alexandre Quemy

The number of possible methods of generalizing binary classification to multi-class classification increases exponentially with the number of class labels. Often, the best method of doing so will be highly problem dependent. Here we present…

机器学习 · 统计学 2014-05-20 Peter Mills

In this work, we introduce a modified (rescaled) likelihood for imbalanced logistic regression. This new approach makes easier the use of exponential priors and the computation of lasso regularization path. Precisely, we study a limiting…

统计方法学 · 统计学 2018-04-19 Vincent Runge

Counterfactual learning from observational data involves learning a classifier on an entire population based on data that is observed conditioned on a selection policy. This work considers this problem in an active setting, where the…

机器学习 · 统计学 2019-10-29 Songbai Yan , Kamalika Chaudhuri , Tara Javidi

Emerging applications of sensor networks for detection sometimes suggest that classical problems ought be revisited under new assumptions. This is the case of binary hypothesis testing with independent - but not necessarily identically…

信息论 · 计算机科学 2019-03-27 Stefano Marano , Peter Willett