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Related papers: Universal Rates for Multiclass Learning

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We study the problem of multiclass PAC learning with bandit feedback in the realizable setting. In this framework, there is an unknown data distribution over an instance space $\mathcal{X}$ and a label space $\mathcal{Y}$, as in classical…

Machine Learning · Statistics 2026-05-27 Steve Hanneke , Qinglin Meng , Shay Moran , Amirreza Shaeiri

Multiclass learnability is known to exhibit a properness barrier: there are learnable classes which cannot be learned by any proper learner. Binary classification faces no such barrier for learnability, but a similar one for optimal…

Machine Learning · Computer Science 2025-08-13 Julian Asilis , Mikael Møller Høgsgaard , Grigoris Velegkas

Recent years have witnessed a great success of supervised deep learning, where predictive models were trained from a large amount of fully labeled data. However, in practice, labeling such big data can be very costly and may not even be…

Machine Learning · Computer Science 2022-10-18 Yuting Tang , Nan Lu , Tianyi Zhang , Masashi Sugiyama

The universal learning framework has been developed to obtain guarantees on the learning rates that hold for any fixed distribution, which can be much faster than the ones uniformly hold over all the distributions. Given that the Empirical…

Machine Learning · Statistics 2025-07-16 Steve Hanneke , Mingyue Xu

Enforcing universal symmetries in machine learning (ML) models is a common strategy to mitigate data scarcity. We show that exploiting exact, as well as approximate, label symmetries can benefit scaling laws. We illustrate the idea for the…

Chemical Physics · Physics 2026-05-28 Scott Y. H. Kim , Mathis Lechaume-Robert , O. Anatole von Lilienfeld

In lossy compression, Wang et al. [1] recently introduced the rate-distortion-perception-classification function, which supports multi-task learning by jointly optimizing perceptual quality, classification accuracy, and reconstruction…

Information Theory · Computer Science 2025-04-23 Nam Nguyen , Thuan Nguyen , Thinh Nguyen , Bella Bose

Real-world data often exhibits long-tailed distributions with heavy class imbalance, posing great challenges for deep recognition models. We identify a persisting dilemma on the value of labels in the context of imbalanced learning: on the…

Machine Learning · Computer Science 2020-09-29 Yuzhe Yang , Zhi Xu

Deep neural networks have shown incredible performance for inference tasks in a variety of domains. Unfortunately, most current deep networks are enormous cloud-based structures that require significant storage space, which limits scaling…

Information Theory · Computer Science 2020-03-10 Sourya Basu , Lav R. Varshney

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

We study the problem of learning a hierarchical tree representation of data from labeled samples, taken from an arbitrary (and possibly adversarial) distribution. Consider a collection of data tuples labeled according to their hierarchical…

Machine Learning · Computer Science 2023-02-10 Dmitrii Avdiukhin , Grigory Yaroslavtsev , Danny Vainstein , Orr Fischer , Sauman Das , Faraz Mirza

One promising approach to dealing with datapoints that are outside of the initial training distribution (OOD) is to create new classes that capture similarities in the datapoints previously rejected as uncategorizable. Systems that generate…

Machine Learning · Computer Science 2020-02-25 Jeremy Nixon , Jeremiah Liu , David Berthelot

The fundamental theorem of statistical learning states that binary PAC learning is governed by a single parameter -- the Vapnik-Chervonenkis (VC) dimension -- which determines both learnability and sample complexity. Extending this to…

Machine Learning · Computer Science 2025-11-18 Alon Cohen , Liad Erez , Steve Hanneke , Tomer Koren , Yishay Mansour , Shay Moran , Qian Zhang

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

As a more practical setting for unsupervised domain adaptation, Universal Domain Adaptation (UDA) is recently introduced, where the target label set is unknown. One of the big challenges in UDA is how to determine the common label set…

Artificial Intelligence · Computer Science 2020-10-13 Yueming Yin , Zhen Yang , Xiaofu Wu , Haifeng Hu

Training semantic segmentation models on multiple datasets has sparked a lot of recent interest in the computer vision community. This interest has been motivated by expensive annotations and a desire to achieve proficiency across multiple…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Petra Bevandić , Siniša Šegvić

We consider a weakly supervised learning problem called Learning from Label Proportions (LLP), where examples are grouped into ``bags'' and only the average label within each bag is revealed to the learner. We study various learning rules…

Machine Learning · Computer Science 2024-06-04 Gene Li , Lin Chen , Adel Javanmard , Vahab Mirrokni

We present a new perspective on the popular multi-class algorithmic techniques of one-vs-all and error correcting output codes. Rather than studying the behavior of these techniques for supervised learning, we establish a connection between…

Machine Learning · Computer Science 2016-11-28 Maria Florina Balcan , Travis Dick , Yishay Mansour

Deep supervised models have an unprecedented capacity to absorb large quantities of training data. Hence, training on many datasets becomes a method of choice towards graceful degradation in unusual scenes. Unfortunately, different datasets…

Computer Vision and Pattern Recognition · Computer Science 2021-11-03 Petra Bevandić , Marin Oršić , Ivan Grubišić , Josip Šarić , Siniša Šegvić

Decision trees are one of the most popular methods for solving classification problems, mainly because of their good interpretability properties. Moreover, due to advances in recent years in mixed-integer optimization, several models have…

Optimization and Control · Mathematics 2026-05-29 Jan Pablo Burgard , Maria Eduarda Pinheiro , Martin Schmidt

We prove that the list replicability number of $d$-dimensional $\gamma$-margin half-spaces satisfies \[ \frac{d}{2}+1 \le \mathrm{LR}(H^d_\gamma) \le d, \] which grows with dimension. This resolves several open problems: $\bullet$ Every…

Machine Learning · Computer Science 2025-10-27 Ari Blondal , Hamed Hatami , Pooya Hatami , Chavdar Lalov , Sivan Tretiak