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Hardness results for maximum agreement problems have close connections to hardness results for proper learning in computational learning theory. In this paper we prove two hardness results for the problem of finding a low degree polynomial…

Machine Learning · Computer Science 2010-10-19 Ilias Diakonikolas , Ryan O'Donnell , Rocco A. Servedio , Yi Wu

We study binary classification in the setting where the learner is presented with multiple corrupted training samples, with possibly different sample sizes and degrees of corruption, and introduce an approach based on minimizing a weighted…

Machine Learning · Statistics 2019-10-11 Clayton Scott , Jianxin Zhang

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

Label Ranking (LR) corresponds to the problem of learning a hypothesis that maps features to rankings over a finite set of labels. We adopt a nonparametric regression approach to LR and obtain theoretical performance guarantees for this…

Machine Learning · Computer Science 2022-02-11 Dimitris Fotakis , Alkis Kalavasis , Eleni Psaroudaki

Replicability is a fundamental challenge in reinforcement learning (RL), as RL algorithms are empirically observed to be unstable and sensitive to variations in training conditions. To formally address this issue, we study \emph{list…

Machine Learning · Computer Science 2025-12-02 Bohan Zhang , Michael Chen , A. Pavan , N. V. Vinodchandran , Lin F. Yang , Ruosong Wang

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

Semi-supervised learning based methods are current SOTA solutions to the noisy-label learning problem, which rely on learning an unsupervised label cleaner first to divide the training samples into a labeled set for clean data and an…

Computer Vision and Pattern Recognition · Computer Science 2022-12-22 Jingjia Huang , Yuanqi Chen , Jiashi Feng , Xinglong Wu

In multi-task learning, labels are often missing irregularly across samples, which can be fully labeled, partially labeled or unlabeled. The irregular label presence often appears in scientific studies due to experimental limitations. It…

Machine Learning · Computer Science 2025-08-07 Mingqian Li , Qiao Han , Ruifeng Li , Yao Yang , Hongyang Chen

Adversarially robust PAC learning has proved to be challenging, with the currently best known learners [Montasser et al., 2021a] relying on improper methods based on intricate compression schemes, resulting in sample complexity exponential…

Machine Learning · Computer Science 2025-02-12 Hassan Ashtiani , Vinayak Pathak , Ruth Urner

We study the problem of PAC learning $\gamma$-margin halfspaces with Massart noise. We propose a simple proper learning algorithm, the Perspectron, that has sample complexity $\widetilde{O}((\epsilon\gamma)^{-2})$ and achieves…

Machine Learning · Computer Science 2025-01-20 Gautam Chandrasekaran , Vasilis Kontonis , Konstantinos Stavropoulos , Kevin Tian

The task of continual learning requires careful design of algorithms that can tackle catastrophic forgetting. However, the noisy label, which is inevitable in a real-world scenario, seems to exacerbate the situation. While very few studies…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Nazmul Karim , Umar Khalid , Ashkan Esmaeili , Nazanin Rahnavard

Noisy labels are ubiquitous in real-world datasets, which poses a challenge for robustly training deep neural networks (DNNs) as DNNs usually have the high capacity to memorize the noisy labels. In this paper, we find that the test accuracy…

Machine Learning · Computer Science 2019-05-14 Pengfei Chen , Benben Liao , Guangyong Chen , Shengyu Zhang

Robust learning in expressive languages with real-world data continues to be a challenging task. Numerous conventional methods appeal to heuristics without any assurances of robustness. While probably approximately correct (PAC) Semantics…

Artificial Intelligence · Computer Science 2021-09-08 Alexander P. Rader , Ionela G. Mocanu , Vaishak Belle , Brendan Juba

Partial-label learning (PLL) is an important branch of weakly supervised learning where the single ground truth resides in a set of candidate labels, while the research rarely considers the label imbalance. A recent study for imbalanced…

Machine Learning · Computer Science 2023-03-08 Mingyu Xu , Zheng Lian

For many learning problems one may not have access to fine grained label information; e.g., an image can be labeled as husky, dog, or even animal depending on the expertise of the annotator. In this work, we formalize these settings and…

Machine Learning · Computer Science 2023-03-27 Dimitris Fotakis , Alkis Kalavasis , Vasilis Kontonis , Christos Tzamos

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

In this expository note we show that the learning parities with noise (LPN) assumption is robust to weak dependencies in the noise distribution of small batches of samples. This provides a partial converse to the linearization technique of…

Cryptography and Security · Computer Science 2024-04-18 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

We introduce and study the model of list learning with attribute noise. Learning with attribute noise was introduced by Shackelford and Volper (COLT 1988) as a variant of PAC learning, in which the algorithm has access to noisy examples and…

Machine Learning · Computer Science 2020-06-15 Mahdi Cheraghchi , Elena Grigorescu , Brendan Juba , Karl Wimmer , Ning Xie

We propose a novel learning paradigm for Deep Neural Networks (DNN) by using Boolean logic algebra. We first present the basic differentiable operators of a Boolean system such as conjunction, disjunction and exclusive-OR and show how these…

Machine Learning · Computer Science 2019-04-10 Ali Payani , Faramarz Fekri

A large body of work in machine learning has focused on the problem of learning a close approximation to an underlying combinatorial function, given a small set of labeled examples. However, for real-valued functions, cardinal labels might…

Machine Learning · Computer Science 2016-05-31 Maria-Florina Balcan , Ellen Vitercik , Colin White