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Consider a multinomial regression model where the response, which indicates a unit's membership in one of several possible unordered classes, is associated with a set of predictor variables. Such models typically involve a matrix of…

Applications · Statistics 2009-01-28 Paul Gustafson , Geneviève Lefebvre

This paper considers the problem of kernel regression and classification with possibly unobservable response variables in the data, where the mechanism that causes the absence of information is unknown and can depend on both predictors and…

Statistics Theory · Mathematics 2022-12-07 Majid Mojirsheibani , William Pouliot , Andre Shakhbandaryan

Quantile regression permits describing how quantiles of a scalar response variable depend on a set of predictors. Because a unique definition of multivariate quantiles is lacking, extending quantile regression to multivariate responses is…

Methodology · Statistics 2021-04-22 Silvia Columbu , Paolo Frumento , Matteo Bottai

Deciding which predictors to use plays an integral role in deriving statistical models in a wide range of applications. Motivated by the challenges of predicting events across a telecommunications network, we propose a semi-automated, joint…

Methodology · Statistics 2020-01-10 Aaron Lowther , Paul Fearnhead , Matthew Nunes , Kjeld Jensen

Multi-label classification (MLC) is an ML task of predictive modeling in which a data instance can simultaneously belong to multiple classes. MLC is increasingly gaining interest in different application domains such as text mining,…

Machine Learning · Computer Science 2022-11-22 Ana Kostovska , Carola Doerr , Sašo Džeroski , Dragi Kocev , Panče Panov , Tome Eftimov

High\-cardinality categorical variables pose significant challenges in machine learning, particularly in terms of computational efficiency and model interpretability. Traditional one\-hot encoding often results in high\-dimensional sparse…

Machine Learning · Computer Science 2025-01-13 Zixuan Liang

Multivariate regression model is a natural generalization of the classical univari- ate regression model for fitting multiple responses. In this paper, we propose a high- dimensional multivariate conditional regression model for…

Machine Learning · Statistics 2016-11-26 Junhui Wang

Multi-label classification is a common challenge in various machine learning applications, where a single data instance can be associated with multiple classes simultaneously. The current paper proposes a novel tree-based method for…

Methodology · Statistics 2024-05-01 Chhavi Tyagi , Wenge Guo

Conformal prediction is a powerful framework for constructing prediction sets with valid coverage guarantees in multi-class classification. However, existing methods often rely on a single score function, which can limit their efficiency…

Machine Learning · Statistics 2025-03-05 Rui Luo , Zhixin Zhou

We propose a multi-scale extension of conformal prediction, an approach that constructs prediction sets with finite-sample coverage guarantees under minimal statistical assumptions. Classic conformal prediction relies on a single notion of…

Statistics Theory · Mathematics 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

Uncertainty estimates must be calibrated (i.e., accurate) and sharp (i.e., informative) in order to be useful. This has motivated a variety of methods for recalibration, which use held-out data to turn an uncalibrated model into a…

Machine Learning · Computer Science 2022-07-06 Charles Marx , Shengjia Zhao , Willie Neiswanger , Stefano Ermon

Structured-output learning is a challenging problem; particularly so because of the difficulty in obtaining large datasets of fully labelled instances for training. In this paper we try to overcome this difficulty by presenting a…

Computer Vision and Pattern Recognition · Computer Science 2014-06-24 Roman Shapovalov , Dmitry Vetrov , Anton Osokin , Pushmeet Kohli

This paper introduces a conformal inference method to evaluate uncertainty in classification by generating prediction sets with valid coverage conditional on adaptively chosen features. These features are carefully selected to reflect…

Machine Learning · Statistics 2024-10-31 Yanfei Zhou , Matteo Sesia

Inspired by logistic regression, we introduce a regression model for data tuples consisting of a binary response and a set of covariates residing in a metric space without vector structures. Based on the proposed model we also develop a…

Methodology · Statistics 2024-02-15 Yinan Lin , Zhenhua Lin

Automatic annotation of images with descriptive words is a challenging problem with vast applications in the areas of image search and retrieval. This problem can be viewed as a label-assignment problem by a classifier dealing with a very…

Computer Vision and Pattern Recognition · Computer Science 2017-05-09 Amara Tariq , Hassan Foroosh

Reliable uncertainty estimation is one of the major challenges for medical classification tasks. While many approaches have been proposed, recently the statistical framework of conformal predictions has gained a lot of attention, due to its…

Machine Learning · Computer Science 2025-06-24 Hendrik Mehrtens , Tabea Bucher , Titus J. Brinker

We consider nonparametric prediction with multiple covariates, in particular categorical or functional predictors, or a mixture of both. The method proposed bases on an extension of the Nadaraya-Watson estimator where a kernel function is…

Methodology · Statistics 2022-08-05 Leonie Selk , Jan Gertheiss

Unlike the typical classification setting where each instance is associated with a single class, in multi-label learning each instance is associated with multiple classes simultaneously. Therefore the learning task in this setting is to…

Machine Learning · Computer Science 2022-11-30 Harris Papadopoulos

Data labeling is currently a time-consuming task that often requires expert knowledge. In research settings, the availability of correctly labeled data is crucial to ensure that model predictions are accurate and useful. We propose…

Machine Learning · Computer Science 2018-12-31 Marina Bendersky , Joy Wu , Tanveer Syeda-Mahmood

Multi-label classification (MLC) is a supervised learning problem in which, contrary to standard multiclass classification, an instance can be associated with several class labels simultaneously. In this chapter, we advocate a rule-based…

Machine Learning · Computer Science 2020-12-09 Eneldo Loza Mencía , Johannes Fürnkranz , Eyke Hüllermeier , Michael Rapp