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Algorithms for noiseless collaborative PAC learning have been analyzed and optimized in recent years with respect to sample complexity. In this paper, we study collaborative PAC learning with the goal of reducing communication cost at…

Machine Learning · Computer Science 2020-12-22 Avrim Blum , Shelby Heinecke , Lev Reyzin

This paper presents a PAC-Bayes framework for learning controllers for unknown stochastic linear discrete-time systems, where the system parameters are drawn from a fixed but unknown distribution. We derive a data-dependent high probability…

Optimization and Control · Mathematics 2026-05-22 Yujia Luo , Ye Pu , Jonathan H. Manton , Jingge Zhu

Deep neural networks have reached high accuracy on object detection but their success hinges on large amounts of labeled data. To reduce the labels dependency, various active learning strategies have been proposed, typically based on the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Ismail Elezi , Zhiding Yu , Anima Anandkumar , Laura Leal-Taixe , Jose M. Alvarez

We study efficient PAC learning of homogeneous halfspaces in $\mathbb{R}^d$ in the presence of malicious noise of Valiant (1985). This is a challenging noise model and only until recently has near-optimal noise tolerance bound been…

Machine Learning · Computer Science 2021-10-06 Jie Shen

We present a new active learning algorithm that adaptively partitions the input space into a finite number of regions, and subsequently seeks a distinct predictor for each region, both phases actively requesting labels. We prove theoretical…

Machine Learning · Computer Science 2020-02-19 Corinna Cortes , Giulia DeSalvo , Claudio Gentile , Mehryar Mohri , Ningshan Zhang

This paper advances the theoretical understanding of active learning label complexity for decision trees as binary classifiers. We make two main contributions. First, we provide the first analysis of the disagreement coefficient for…

The apparent difficulty of efficient distribution-free PAC learning has led to a large body of work on distribution-specific learning. Distributional assumptions facilitate the design of efficient algorithms but also limit their reach and…

Machine Learning · Computer Science 2025-06-23 Guy Blanc , Jane Lange , Carmen Strassle , Li-Yang Tan

Supervised learning typically relies on manual annotation of the true labels. When there are many potential classes, searching for the best one can be prohibitive for a human annotator. On the other hand, comparing two candidate labels is…

Machine Learning · Computer Science 2022-08-16 Gal Yona , Shay Moran , Gal Elidan , Amir Globerson

In most real-world applications of artificial intelligence, the distributions of the data and the goals of the learners tend to change over time. The Probably Approximately Correct (PAC) learning framework, which underpins most machine…

Machine Learning · Computer Science 2025-11-13 Yuxin Bai , Cecelia Shuai , Ashwin De Silva , Siyu Yu , Pratik Chaudhari , Joshua T. Vogelstein

This work establishes distribution-free upper and lower bounds on the minimax label complexity of active learning with general hypothesis classes, under various noise models. The results reveal a number of surprising facts. In particular,…

Machine Learning · Computer Science 2014-10-07 Steve Hanneke , Liu Yang

This paper explores the challenges of PAC learning in semi-enclosed environments that face persistent disruptive noise and demonstrates the weaknesses of traditional learning models based on noise-free data. We present a novel algorithm…

Machine Learning · Computer Science 2024-11-05 Shirmohammad Tavangari , Zahra Shakarami , Aref Yelghi , Asef Yelghi

In recent years crowdsourcing has become the method of choice for gathering labeled training data for learning algorithms. Standard approaches to crowdsourcing view the process of acquiring labeled data separately from the process of…

Machine Learning · Computer Science 2017-04-17 Pranjal Awasthi , Avrim Blum , Nika Haghtalab , Yishay Mansour

An agnostic PAC learning algorithm finds a predictor that is competitive with the best predictor in a benchmark hypothesis class, where competitiveness is measured with respect to a given loss function. However, its predictions might be…

Machine Learning · Computer Science 2021-05-24 Guy N Rothblum , Gal Yona

We consider the problem of distribution-free learning for Boolean function classes in the PAC and agnostic models. Generalizing a beautiful work of Malach and Shalev-Shwartz (2022) that gave tight correlational SQ (CSQ) lower bounds for…

Data Structures and Algorithms · Computer Science 2023-08-25 Aravind Gollakota , Sushrut Karmalkar , Adam Klivans

We study the problem of learning general (i.e., not necessarily homogeneous) halfspaces under the Gaussian distribution on $R^d$ in the presence of some form of query access. In the classical pool-based active learning model, where the…

Machine Learning · Computer Science 2025-01-03 Ilias Diakonikolas , Daniel M. Kane , Mingchen Ma

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

Inspired by the problem of improving classification accuracy on rare or hard subsets of a population, there has been recent interest in models of learning where the goal is to generalize to a collection of distributions, each representing a…

Machine Learning · Computer Science 2023-06-06 Nick Rittler , Kamalika Chaudhuri

We study the problem of agnostically learning homogeneous halfspaces in the distribution-specific PAC model. For a broad family of structured distributions, including log-concave distributions, we show that non-convex SGD efficiently…

Machine Learning · Computer Science 2020-06-15 Ilias Diakonikolas , Vasilis Kontonis , Christos Tzamos , Nikos Zarifis

We give the first efficient algorithm for learning halfspaces in the testable learning model recently defined by Rubinfeld and Vasilyan (2023). In this model, a learner certifies that the accuracy of its output hypothesis is near optimal…

Machine Learning · Computer Science 2023-03-14 Aravind Gollakota , Adam R. Klivans , Konstantinos Stavropoulos , Arsen Vasilyan

We initiate the study of active learning algorithms for classifying strategic agents. Active learning is a well-established framework in machine learning in which the learner selectively queries labels, often achieving substantially higher…

Machine Learning · Computer Science 2025-12-03 Maria-Florina Balcan , Hedyeh Beyhaghi