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Multi-label classification is a widely encountered problem in daily life, where an instance can be associated with multiple classes. In theory, this is a supervised learning method that requires a large amount of labeling. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-02 XIn Zhang , Yuqi Song , Fei Zuo , Xiaofeng Wang

We study the problem of computable multiclass learnability within the Probably Approximately Correct (PAC) learning framework of Valiant (1984). In the recently introduced computable PAC (CPAC) learning framework of Agarwal et al. (2020),…

Machine Learning · Computer Science 2025-02-11 Pascale Gourdeau , Tosca Lechner , Ruth Urner

The Fundamental Theorem of PAC Learning asserts that learnability of a concept class $H$ is equivalent to the $\textit{uniform convergence}$ of empirical error in $H$ to its mean, or equivalently, to the problem of $\textit{density…

Machine Learning · Computer Science 2025-03-04 Max Hopkins , Daniel M. Kane , Shachar Lovett , Gaurav Mahajan

In many learning theory problems, a central role is played by a hypothesis class: we might assume that the data is labeled according to a hypothesis in the class (usually referred to as the realizable setting), or we might evaluate the…

Machine Learning · Computer Science 2022-11-17 Lunjia Hu , Charlotte Peale

We study the problem of learning in the presence of a drifting target concept. Specifically, we provide bounds on the error rate at a given time, given a learner with access to a history of independent samples labeled according to a target…

Machine Learning · Computer Science 2015-05-21 Steve Hanneke , Varun Kanade , Liu Yang

Following the wide-spread adoption of machine learning models in real-world applications, the phenomenon of performativity, i.e. model-dependent shifts in the test distribution, becomes increasingly prevalent. Unfortunately, since models…

Machine Learning · Statistics 2026-01-21 Ivan Kirev , Lyuben Baltadzhiev , Nikola Konstantinov

We consider the problem of multiclass transductive online learning when the number of labels can be unbounded. Previous works by Ben-David et al. [1997] and Hanneke et al. [2023b] only consider the case of binary and finite label spaces,…

Machine Learning · Computer Science 2024-11-05 Steve Hanneke , Vinod Raman , Amirreza Shaeiri , Unique Subedi

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

Conventional multi-label classification (MLC) methods assume that all samples are fully labeled and identically distributed. Unfortunately, this assumption is unrealistic in large-scale MLC data that has long-tailed (LT) distribution and…

Machine Learning · Computer Science 2023-04-24 Wenqiao Zhang , Changshuo Liu , Lingze Zeng , Beng Chin Ooi , Siliang Tang , Yueting Zhuang

Multi-label learning deals with the classification problems where each instance can be assigned with multiple labels simultaneously. Conventional multi-label learning approaches mainly focus on exploiting label correlations. It is usually…

Machine Learning · Computer Science 2014-07-08 Xiangnan Kong , Zhaoming Wu , Li-Jia Li , Ruofei Zhang , Philip S. Yu , Hang Wu , Wei Fan

We study a generalization of boosting to the multiclass setting. We introduce a weak learning condition for multiclass classification that captures the original notion of weak learnability as being "slightly better than random guessing". We…

Machine Learning · Computer Science 2023-07-04 Nataly Brukhim , Amit Daniely , Yishay Mansour , Shay Moran

We provide a complete theory of optimal universal rates for binary classification in the agnostic setting. This extends the realizable-case theory of Bousquet, Hanneke, Moran, van Handel, and Yehudayoff (2021) by removing the realizability…

Machine Learning · Computer Science 2026-01-30 Steve Hanneke , Shay Moran

Multi-distribution learning generalizes the classic PAC learning to handle data coming from multiple distributions. Given a set of $k$ data distributions and a hypothesis class of VC dimension $d$, the goal is to learn a hypothesis that…

Machine Learning · Computer Science 2024-01-30 Binghui Peng

In multi-task learning, a learner is given a collection of prediction tasks and needs to solve all of them. In contrast to previous work, which required that annotated training data is available for all tasks, we consider a new setting, in…

Machine Learning · Statistics 2017-06-09 Anastasia Pentina , Christoph H. Lampert

We consider the relationship between learnability of a "base class" of functions on a set $X$, and learnability of a class of statistical functions derived from the base class. For example, we refine results showing that learnability of a…

Logic in Computer Science · Computer Science 2025-05-28 Aaron Anderson , Michael Benedikt

Partial-label learning is a kind of weakly-supervised learning with inexact labels, where for each training example, we are given a set of candidate labels instead of only one true label. Recently, various approaches on partial-label…

Machine Learning · Computer Science 2022-08-30 Zhenguo Wu , Jiaqi Lv , Masashi Sugiyama

This work presents a new strategy for multi-class classification that requires no class-specific labels, but instead leverages pairwise similarity between examples, which is a weaker form of annotation. The proposed method, meta…

Machine Learning · Computer Science 2019-01-04 Yen-Chang Hsu , Zhaoyang Lv , Joel Schlosser , Phillip Odom , Zsolt Kira

We study the task of Multiclass Linear Classification (MLC) in the distribution-free PAC model with Random Classification Noise (RCN). Specifically, the learner is given a set of labeled examples $(x, y)$, where $x$ is drawn from an unknown…

Machine Learning · Computer Science 2025-02-18 Ilias Diakonikolas , Mingchen Ma , Lisheng Ren , Christos Tzamos

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

We study the problem of crowdsourced PAC learning of threshold functions. This is a challenging problem and only recently have query-efficient algorithms been established under the assumption that a noticeable fraction of the workers are…

Machine Learning · Computer Science 2023-05-22 Shiwei Zeng , Jie Shen