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Positive-Unlabeled (PU) learning aims to learn a model with rare positive samples and abundant unlabeled samples. Compared with classical binary classification, the task of PU learning is much more challenging due to the existence of many…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Chengming Xu , Chen Liu , Siqian Yang , Yabiao Wang , Shijie Zhang , Lijie Jia , Yanwei Fu

We study distribution-free property testing and learning problems where the unknown probability distribution is a product distribution over $\mathbb{R}^d$. For many important classes of functions, such as intersections of halfspaces,…

Data Structures and Algorithms · Computer Science 2021-11-17 Nathaniel Harms , Yuichi Yoshida

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

Can we learn a binary classifier from only positive data, without any negative data or unlabeled data? We show that if one can equip positive data with confidence (positive-confidence), one can successfully learn a binary classifier, which…

Machine Learning · Statistics 2018-11-29 Takashi Ishida , Gang Niu , Masashi Sugiyama

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

Exemplar learning of visual similarities in an unsupervised manner is a problem of paramount importance to Computer Vision. In this context, however, the recent breakthrough in deep learning could not yet unfold its full potential. With…

Computer Vision and Pattern Recognition · Computer Science 2018-02-26 Artsiom Sanakoyeu , Miguel A. Bautista , Björn Ommer

We study several questions in the reliable agnostic learning framework of Kalai et al. (2009), which captures learning tasks in which one type of error is costlier than others. A positive reliable classifier is one that makes no false…

Machine Learning · Computer Science 2014-02-25 Varun Kanade , Justin Thaler

This work continues the study of the relationship between sample compression schemes and statistical learning, which has been mostly investigated within the framework of binary classification. The central theme of this work is establishing…

Machine Learning · Computer Science 2017-01-02 Ofir David , Shay Moran , Amir Yehudayoff

We study binary classification algorithms for which the prediction on any point is not too sensitive to individual examples in the dataset. Specifically, we consider the notions of uniform stability (Bousquet and Elisseeff, 2001) and…

Machine Learning · Computer Science 2020-09-24 Yuval Dagan , Vitaly Feldman

Randomized smoothing is a technique for providing provable robustness guarantees against adversarial attacks while making minimal assumptions about a classifier. This method relies on taking a majority vote of any base classifier over…

Machine Learning · Computer Science 2023-05-09 Ambar Pal , Jeremias Sulam

Deep learning models, including Convolutional Neural Networks (CNNs) and Vision Transformers (ViTs), have achieved state-of-the-art performance on various computer vision tasks such as object classification, detection, segmentation,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Vipul Arya , S. H. Shabbeer Basha , Srikrishna U N , Sunainha Vijay , Snehasis Mukherjee

Learning binary classifiers only from positive and unlabeled (PU) data is an important and challenging task in many real-world applications, including web text classification, disease gene identification and fraud detection, where negative…

Machine Learning · Computer Science 2020-12-01 Hui Chen , Fangqing Liu , Yin Wang , Liyue Zhao , Hao Wu

During recent years, active learning has evolved into a popular paradigm for utilizing user's feedback to improve accuracy of learning algorithms. Active learning works by selecting the most informative sample among unlabeled data and…

Machine Learning · Computer Science 2016-11-17 Alireza Ghasemi , Hamid R. Rabiee , Mohsen Fadaee , Mohammad T. Manzuri , Mohammad H. Rohban

We study the problem of estimating the parameters of a Boolean product distribution in $d$ dimensions, when the samples are truncated by a set $S \subset \{0, 1\}^d$ accessible through a membership oracle. This is the first time that the…

Machine Learning · Computer Science 2026-05-05 Dimitris Fotakis , Alkis Kalavasis , Christos Tzamos

Learning from implicit feedback is challenging because of the difficult nature of the one-class problem: we can observe only positive examples. Most conventional methods use a pairwise ranking approach and negative samplers to cope with the…

Machine Learning · Computer Science 2021-05-12 Riku Togashi , Masahiro Kato , Mayu Otani , Tetsuya Sakai , Shin'ichi Satoh

Dictionary learning for sparse representations has been successful in many reconstruction tasks. Simplicial learning is an adaptation of dictionary learning, where subspaces become clipped and acquire arbitrary offsets, taking the form of…

Machine Learning · Computer Science 2020-05-19 Yigit Oktar , Mehmet Turkan

We show how any PAC learning algorithm that works under the uniform distribution can be transformed, in a blackbox fashion, into one that works under an arbitrary and unknown distribution $\mathcal{D}$. The efficiency of our transformation…

Machine Learning · Statistics 2023-03-31 Guy Blanc , Jane Lange , Ali Malik , Li-Yang Tan

It is becoming increasingly important to understand the vulnerability of machine learning models to adversarial attacks. In this paper we study the feasibility of robust learning from the perspective of computational learning theory,…

Machine Learning · Computer Science 2019-09-13 Pascale Gourdeau , Varun Kanade , Marta Kwiatkowska , James Worrell

We consider PAC learning of probability distributions (a.k.a. density estimation), where we are given an i.i.d. sample generated from an unknown target distribution, and want to output a distribution that is close to the target in total…

Machine Learning · Computer Science 2018-06-05 Hassan Ashtiani , Shai Ben-David , Abbas Mehrabian

Modern variable selection procedures make use of penalization methods to execute simultaneous model selection and estimation. A popular method is the LASSO (least absolute shrinkage and selection operator), the use of which requires…

Methodology · Statistics 2023-01-12 Meadhbh O'Neill , Kevin Burke