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The main goal of this article is to convince you, the reader, that supervised learning in the Probably Approximately Correct (PAC) model is closely related to -- of all things -- bipartite matching! En-route from PAC learning to bipartite…

Machine Learning · Computer Science 2025-05-06 Shaddin Dughmi

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

We informally call a stochastic process learnable if it admits a generalization error approaching zero in probability for any concept class with finite VC-dimension (IID processes are the simplest example). A mixture of learnable processes…

Machine Learning · Statistics 2015-07-27 Cosma Rohilla Shalizi , Aryeh Kontorovich

We study the problem of classification with selectively labeled data, whose distribution may differ from the full population due to historical decision-making. We exploit the fact that in many applications historical decisions were made by…

Machine Learning · Statistics 2025-05-28 Jian Chen , Zhehao Li , Xiaojie Mao

We study the problem of learning from multiple untrusted data sources, a scenario of increasing practical relevance given the recent emergence of crowdsourcing and collaborative learning paradigms. Specifically, we analyze the situation in…

Machine Learning · Computer Science 2020-07-01 Nikola Konstantinov , Elias Frantar , Dan Alistarh , Christoph H. Lampert

The problem of attempting to learn the mapping between data and labels is the crux of any machine learning task. It is, therefore, of interest to the machine learning community on practical as well as theoretical counts to consider the…

Machine Learning · Computer Science 2022-10-21 Sairaam Venkatraman , S Balasubramanian , R Raghunatha Sarma

Self-learning is a classical approach for learning with both labeled and unlabeled observations which consists in giving pseudo-labels to unlabeled training instances with a confidence score over a predetermined threshold. At the same time,…

Machine Learning · Computer Science 2021-09-30 Vasilii Feofanov , Emilie Devijver , Massih-Reza Amini

In the supervised learning setting termed Multiple-Instance Learning (MIL), the examples are bags of instances, and the bag label is a function of the labels of its instances. Typically, this function is the Boolean OR. The learner observes…

Machine Learning · Computer Science 2015-03-19 Sivan Sabato , Naftali Tishby

We compute that the index set of PAC-learnable concept classes is $m$-complete $\Sigma^0_3$ within the set of indices for all concept classes of a reasonable form. All concept classes considered are computable enumerations of computable…

Logic · Mathematics 2014-06-05 Wesley Calvert

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

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

Compared with multi-class classification, multi-label classification that contains more than one class is more suitable in real life scenarios. Obtaining fully labeled high-quality datasets for multi-label classification problems, however,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-26 Xin Zhang , Rabab Abdelfattah , Yuqi Song , Xiaofeng Wang

Standard meta-learning for representation learning aims to find a common representation to be shared across multiple tasks. The effectiveness of these methods is often limited when the nuances of the tasks' distribution cannot be captured…

Machine Learning · Computer Science 2021-03-31 Giulia Denevi , Massimiliano Pontil , Carlo Ciliberto

Partial-label learning (PLL) relies on a key assumption that the true label of each training example must be in the candidate label set. This restrictive assumption may be violated in complex real-world scenarios, and thus the true label of…

Machine Learning · Computer Science 2023-12-12 Shuo He , Lei Feng , Guowu Yang

We show that the class of strongly connected graphical models with treewidth at most k can be properly efficiently PAC-learnt with respect to the Kullback-Leibler Divergence. Previous approaches to this problem, such as those of Chow ([1]),…

Machine Learning · Computer Science 2012-07-19 Mukund Narasimhan , Jeff A. Bilmes

This work addresses two classification problems that fall under the heading of domain adaptation, wherein the distributions of training and testing examples differ. The first problem studied is that of class proportion estimation, which is…

Machine Learning · Statistics 2014-02-25 Tyler Sanderson , Clayton Scott

In contrast with standard classification tasks, strategic classification involves agents strategically modifying their features in an effort to receive favorable predictions. For instance, given a classifier determining loan approval based…

Machine Learning · Computer Science 2024-03-01 Lee Cohen , Yishay Mansour , Shay Moran , Han Shao

Blumer et al. (1987, 1989) showed that any concept class that is learnable by Occam algorithms is PAC learnable. Board and Pitt (1990) showed a partial converse of this theorem: for concept classes that are closed under exception lists, any…

Machine Learning · Computer Science 2025-09-17 Zaman Keinath-Esmail

We study the problem of learning an adversarially robust predictor to test time attacks in the semi-supervised PAC model. We address the question of how many labeled and unlabeled examples are required to ensure learning. We show that…

Machine Learning · Computer Science 2024-05-07 Idan Attias , Steve Hanneke , Yishay Mansour

Multi-label ranking maps instances to a ranked set of predicted labels from multiple possible classes. The ranking approach for multi-label learning problems received attention for its success in multi-label classification, with one of the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Emine Dari , V. Bugra Yesilkaynak , Alican Mertan , Gozde Unal