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Partial label learning (PLL) is a typical weakly supervised learning problem, where each training example is associated with a set of candidate labels among which only one is true. Most existing PLL approaches assume that the incorrect…

Machine Learning · Computer Science 2023-02-02 Congyu Qiao , Ning Xu , Xin Geng

Partial multi-label learning (PML) models the scenario where each training instance is annotated with a set of candidate labels, and only some of the labels are relevant. The PML problem is practical in real-world scenarios, as it is…

Machine Learning · Computer Science 2020-03-18 Tingting Yu , Guoxian Yu , Jun Wang , Maozu Guo

Partial label learning (PLL) is a typical weakly supervised learning problem in which each instance is associated with a candidate label set, and among which only one is true. However, the assumption that the ground-truth label is always…

Artificial Intelligence · Computer Science 2023-08-30 Yu Shi , Ning Xu , Hua Yuan , Xin Geng

We develop a framework using Hilbert spaces as a proxy to analyze PAC learning problems with structural properties. We consider a joint Hilbert space incorporating the relation between the true label and the predictor under a joint…

Machine Learning · Computer Science 2021-02-15 Mohsen Heidari , Wojciech Szpankowski

We study the rates of convergence in generalization error achievable by active learning under various types of label noise. Additionally, we study the general problem of model selection for active learning with a nested hierarchy of…

Statistics Theory · Mathematics 2011-03-10 Steve Hanneke

The predictive normalized maximum likelihood (pNML) approach has recently been proposed as the min-max optimal solution to the batch learning problem where both the training set and the test data feature are individuals, known sequences.…

Machine Learning · Computer Science 2020-11-23 Yaniv Fogel , Tal Shapira , Meir Feder

A fundamental problem in robust learning is asymmetry: a learner needs to correctly classify every one of exponentially-many perturbations that an adversary might make to a test-time natural example. In contrast, the attacker only needs to…

Machine Learning · Computer Science 2024-02-14 Saba Ahmadi , Avrim Blum , Omar Montasser , Kevin Stangl

While many classical notions of learnability (e.g., PAC learnability) are distribution-free, utilizing the specific structures of an input distribution may improve learning performance. For example, a product distribution on a…

Machine Learning · Computer Science 2022-12-14 Tao Lin

We study the task of agnostically learning halfspaces under the Gaussian distribution. Specifically, given labeled examples $(\mathbf{x},y)$ from an unknown distribution on $\mathbb{R}^n \times \{ \pm 1\}$, whose marginal distribution on…

Machine Learning · Computer Science 2023-02-14 Ilias Diakonikolas , Daniel M. Kane , Lisheng Ren

We revisit the framework of Smart PAC learning, which seeks supervised learners which compete with semi-supervised learners that are provided full knowledge of the marginal distribution on unlabeled data. Prior work has shown that such…

Machine Learning · Computer Science 2026-03-03 Shaddin Dughmi , Alireza F. Pour

Real-world training data is often noisy; for example, human annotators assign conflicting class labels to the same instances. Partial-label learning (PLL) is a weakly supervised learning paradigm that allows training classifiers in this…

Machine Learning · Computer Science 2025-10-27 Tobias Fuchs , Florian Kalinke

Partial label learning is a type of weakly supervised learning, where each training instance corresponds to a set of candidate labels, among which only one is true. In this paper, we introduce ProPaLL, a novel probabilistic approach to this…

Machine Learning · Computer Science 2022-08-23 Łukasz Struski , Jacek Tabor , Bartosz Zieliński

The theory of reinforcement learning has focused on two fundamental problems: achieving low regret, and identifying $\epsilon$-optimal policies. While a simple reduction allows one to apply a low-regret algorithm to obtain an…

Machine Learning · Computer Science 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

We use the PAC-Bayesian theory for the setting of learning-to-optimize. To the best of our knowledge, we present the first framework to learn optimization algorithms with provable generalization guarantees (PAC-Bayesian bounds) and explicit…

Machine Learning · Computer Science 2025-02-26 Michael Sucker , Jalal Fadili , Peter Ochs

Noisy PN learning is the problem of binary classification when training examples may be mislabeled (flipped) uniformly with noise rate rho1 for positive examples and rho0 for negative examples. We propose Rank Pruning (RP) to solve noisy PN…

Machine Learning · Statistics 2017-08-11 Curtis G. Northcutt , Tailin Wu , Isaac L. Chuang

Empirical risk minimization (ERM) is a fundamental learning rule for statistical learning problems where the data is generated according to some unknown distribution $\mathsf{P}$ and returns a hypothesis $f$ chosen from a fixed class…

Machine Learning · Computer Science 2014-11-25 Nishant A. Mehta , Robert C. Williamson

Label shift refers to the phenomenon where the prior class probability p(y) changes between the training and test distributions, while the conditional probability p(x|y) stays fixed. Label shift arises in settings like medical diagnosis,…

Machine Learning · Computer Science 2020-06-30 Amr Alexandari , Anshul Kundaje , Avanti Shrikumar

Large reasoning models (LRMs) have achieved remarkable progress in complex problem-solving tasks. Despite this success, LRMs typically suffer from high computational costs during deployment, highlighting a need for efficient inference. A…

Artificial Intelligence · Computer Science 2026-02-02 Hao Zeng , Jianguo Huang , Bingyi Jing , Hongxin Wei , Bo An

This work studies the general principles of improving the learning of language models (LMs), which aims at reducing the necessary training steps for achieving superior performance. Specifically, we present a theory for the optimal learning…

Computation and Language · Computer Science 2024-03-05 Yuxian Gu , Li Dong , Yaru Hao , Qingxiu Dong , Minlie Huang , Furu Wei

We establish a tight characterization of the worst-case rates for the excess risk of agnostic learning with sample compression schemes and for uniform convergence for agnostic sample compression schemes. In particular, we find that the…

Machine Learning · Computer Science 2018-05-22 Steve Hanneke , Aryeh Kontorovich
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