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We present a detailed study of surrogate losses and algorithms for multi-label learning, supported by $H$-consistency bounds. We first show that, for the simplest form of multi-label loss (the popular Hamming loss), the well-known…

Machine Learning · Computer Science 2024-07-19 Anqi Mao , Mehryar Mohri , Yutao Zhong

(Partial) ranking loss is a commonly used evaluation measure for multi-label classification, which is usually optimized with convex surrogates for computational efficiency. Prior theoretical work on multi-label ranking mainly focuses on…

Machine Learning · Computer Science 2021-05-12 Guoqiang Wu , Chongxuan Li , Kun Xu , Jun Zhu

The goal in extreme multi-label classification is to learn a classifier which can assign a small subset of relevant labels to an instance from an extremely large set of target labels. Datasets in extreme classification exhibit a long tail…

Machine Learning · Statistics 2018-03-06 Rohit Babbar , Bernhard Schölkopf

Recently, several authors have advocated the use of rule learning algorithms to model multi-label data, as rules are interpretable and can be comprehended, analyzed, or qualitatively evaluated by domain experts. Many rule learning…

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

Prior works have shown that semi-supervised learning algorithms can leverage unlabeled data to improve over the labeled sample complexity of supervised learning (SL) algorithms. However, existing theoretical analyses focus on regimes where…

Machine Learning · Computer Science 2023-12-01 Alexandru Ţifrea , Gizem Yüce , Amartya Sanyal , Fanny Yang

In various approaches to learning, notably in domain adaptation, active learning, learning under covariate shift, semi-supervised learning, learning with concept drift, and the like, one often wants to compare a baseline classifier to one…

Machine Learning · Computer Science 2017-07-14 Marco Loog , Jesse H. Krijthe , Are C. Jensen

When minimizing the empirical risk in binary classification, it is a common practice to replace the zero-one loss with a surrogate loss to make the learning objective feasible to optimize. Examples of well-known surrogate losses for binary…

Machine Learning · Statistics 2023-06-07 Nontawat Charoenphakdee , Jongyeong Lee , Masashi Sugiyama

Multi-label classification is the task of assigning a subset of labels to a given query instance. For evaluating such predictions, the set of predicted labels needs to be compared to the ground-truth label set associated with that instance,…

Machine Learning · Computer Science 2020-11-03 Eyke Hüllermeier , Marcel Wever , Eneldo Loza Mencia , Johannes Fürnkranz , Michael Rapp

Many real-world classification tasks require predicting multiple labels per instance, necessitating the optimization of complex evaluation metrics such as the $F$-measure and Jaccard index. While the Empirical Utility Maximization (EUM)…

Machine Learning · Computer Science 2026-05-28 Mehryar Mohri , Yutao Zhong

Multiclass multilabel classification is the task of attributing multiple labels to examples via predictions. Current models formulate a reduction of the multilabel setting into either multiple binary classifications or multiclass…

Machine Learning · Computer Science 2022-11-01 Gabriel Bénédict , Vincent Koops , Daan Odijk , Maarten de Rijke

Multi-label loss functions are usually non-differentiable, requiring surrogate loss functions for gradient-based optimisation. The consistency of surrogate loss functions is not proven and is exacerbated by the conflicting nature of…

Machine Learning · Computer Science 2024-02-02 Kaan Demir , Bach Nguyen , Bing Xue , Mengjie Zhang

We consider the problem of rank loss minimization in the setting of multilabel classification, which is usually tackled by means of convex surrogate losses defined on pairs of labels. Very recently, this approach was put into question by a…

Machine Learning · Computer Science 2012-07-03 Krzysztof Dembczynski , Wojciech Kotlowski , Eyke Huellermeier

In machine learning, one must acquire labels to help supervise a model that will be able to generalize to unseen data. However, the labeling process can be tedious, long, costly, and error-prone. It is often the case that most of our data…

Machine Learning · Computer Science 2020-09-29 Bruno Klaus de Aquino Afonso , Lilian Berton

In contrast to conventional (single-label) classification, the setting of multilabel classification (MLC) allows an instance to belong to several classes simultaneously. Thus, instead of selecting a single class label, predictions take the…

Machine Learning · Computer Science 2020-01-27 Vu-Linh Nguyen , Eyke Hüllermeier

The multi-label classification framework, where each observation can be associated with a set of labels, has generated a tremendous amount of attention over recent years. The modern multi-label problems are typically large-scale in terms of…

Statistics Theory · Mathematics 2017-03-16 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri , Joseph Salmon

In multi-label classification, where the evaluation of predictions is less straightforward than in single-label classification, various meaningful, though different, loss functions have been proposed. Ideally, the learning algorithm should…

Machine Learning · Computer Science 2020-06-25 Michael Rapp , Eneldo Loza Mencía , Johannes Fürnkranz , Vu-Linh Nguyen , Eyke Hüllermeier

Existing semi-supervised learning algorithms adopt pseudo-labeling and consistency regulation techniques to introduce supervision signals for unlabeled samples. To overcome the inherent limitation of threshold-based pseudo-labeling, prior…

Machine Learning · Computer Science 2024-07-10 Zhiyu Wu , Jinshi Cui

Semi-supervised learning is a setting in which one has labeled and unlabeled data available. In this survey we explore different types of theoretical results when one uses unlabeled data in classification and regression tasks. Most methods…

Machine Learning · Computer Science 2020-07-31 Alexander Mey , Marco Loog

While a broad range of techniques have been proposed to tackle distribution shift, the simple baseline of training on an $\textit{undersampled}$ balanced dataset often achieves close to state-of-the-art-accuracy across several popular…

Machine Learning · Computer Science 2023-06-21 Niladri S. Chatterji , Saminul Haque , Tatsunori Hashimoto

Label embedding is a framework for multiclass classification problems where each label is represented by a distinct vector of some fixed dimension, and training involves matching model output to the vector representing the correct label.…

Machine Learning · Computer Science 2025-09-01 Jianxin Zhang , Clayton Scott
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