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We revisit the problem of private online learning, in which a learner receives a sequence of $T$ data points and has to respond at each time-step a hypothesis. It is required that the entire stream of output hypotheses should satisfy…

Machine Learning · Computer Science 2025-11-11 Bo Li , Wei Wang , Peng Ye

Continual learning is the problem of learning and retaining knowledge through time over multiple tasks and environments. Research has primarily focused on the incremental classification setting, where new tasks/classes are added at discrete…

Machine Learning · Computer Science 2021-09-23 Zhipeng Cai , Ozan Sener , Vladlen Koltun

Estimating the relative importance of each sample in a training set has important practical and theoretical value, such as in importance sampling or curriculum learning. This kind of focus on individual samples invokes the concept of…

Machine Learning · Computer Science 2019-01-09 Seung-Geon Lee , Jaedeok Kim , Hyun-Joo Jung , Yoonsuck Choe

We exhibit a family of computably enumerable sets which can be learned within polynomial resource bounds given access only to a teacher, but which requires exponential resources to be learned given access only to a membership oracle. In…

Logic · Mathematics 2019-09-18 Achilles A. Beros , Colin de la Higuera

The unwavering success of deep learning in the past decade led to the increasing prevalence of deep learning methods in various application fields. However, the downsides of deep learning, most prominently its lack of trustworthiness, may…

Machine Learning · Computer Science 2024-08-13 Holger Boche , Vit Fojtik , Adalbert Fono , Gitta Kutyniok

Several recent works have shown separation results between deep neural networks, and hypothesis classes with inferior approximation capacity such as shallow networks or kernel classes. On the other hand, the fact that deep networks can…

Machine Learning · Computer Science 2021-07-20 Eran Malach , Gilad Yehudai , Shai Shalev-Shwartz , Ohad Shamir

The realizable-to-agnostic transformation (Beimel et al., 2015; Alon et al., 2020) provides a general mechanism to convert a private learner in the realizable setting (where the examples are labeled by some function in the concept class) to…

Machine Learning · Statistics 2025-10-03 Bo Li , Wei Wang , Peng Ye

Despite significant effort, the quantum machine learning community has only demonstrated quantum learning advantages for artificial cryptography-inspired datasets when dealing with classical data. In this paper we address the challenge of…

Quantum Physics · Physics 2024-11-14 Casper Gyurik , Vedran Dunjko

Online learning is the process of answering a sequence of questions based on the correct answers to the previous questions. It is studied in many research areas such as game theory, information theory and machine learning. There are two…

Machine Learning · Computer Science 2019-03-27 Ankit Sharma , Late C. A. Murthy

We study the problem of computable multiclass learnability within the Probably Approximately Correct (PAC) learning framework of Valiant (1984). In the recently introduced computable PAC (CPAC) learning framework of Agarwal et al. (2020),…

Machine Learning · Computer Science 2025-02-11 Pascale Gourdeau , Tosca Lechner , Ruth Urner

We consider the problems of robust PAC learning from distributed and streaming data, which may contain malicious errors and outliers, and analyze their fundamental complexity questions. In particular, we establish lower bounds on the…

Machine Learning · Computer Science 2017-03-31 Jiashi Feng

We study a recent model of collaborative PAC learning where $k$ players with $k$ different tasks collaborate to learn a single classifier that works for all tasks. Previous work showed that when there is a classifier that has very small…

Machine Learning · Computer Science 2018-11-01 Huy L. Nguyen , Lydia Zakynthinou

We study two basic statistical tasks in non-interactive local differential privacy (LDP): learning and refutation. Learning requires finding a concept that best fits an unknown target function (from labelled samples drawn from a…

Machine Learning · Statistics 2022-10-28 Alexander Edmonds , Aleksandar Nikolov , Toniann Pitassi

We study the collaborative PAC learning problem recently proposed in Blum et al.~\cite{BHPQ17}, in which we have $k$ players and they want to learn a target function collaboratively, such that the learned function approximates the target…

Machine Learning · Computer Science 2018-10-15 Jiecao Chen , Qin Zhang , Yuan Zhou

Efficient online learning with pairwise loss functions is a crucial component in building large-scale learning system that maximizes the area under the Receiver Operator Characteristic (ROC) curve. In this paper we investigate the…

Machine Learning · Statistics 2013-01-24 Yuyang Wang , Roni Khardon , Dmitry Pechyony , Rosie Jones

Online continual learning aims to get closer to a live learning experience by learning directly on a stream of data with temporally shifting distribution and by storing a minimum amount of data from that stream. In this empirical…

In the problem of learning with label proportions, which we call LLP learning, the training data is unlabeled, and only the proportions of examples receiving each label are given. The goal is to learn a hypothesis that predicts the…

Machine Learning · Computer Science 2020-04-08 Benjamin Fish , Lev Reyzin

We study online classification when the learner has access to predictions about future examples. We design an online learner whose expected regret is never worse than the worst-case regret, gracefully improves with the quality of the…

Machine Learning · Computer Science 2024-05-24 Vinod Raman , Ambuj Tewari

Valiant's 1984 paper is widely credited with introducing the PAC learning model, but it, in fact, introduced a different model: unlike PAC learning, the learner receives only positives, may issue membership queries, and must output a…

Machine Learning · Statistics 2026-05-14 Steve Hanneke , Anay Mehrotra , Grigoris Velegkas , Manolis Zampetakis

In this work, we aim to characterize the statistical complexity of realizable regression both in the PAC learning setting and the online learning setting. Previous work had established the sufficiency of finiteness of the fat shattering…

Machine Learning · Computer Science 2024-10-04 Idan Attias , Steve Hanneke , Alkis Kalavasis , Amin Karbasi , Grigoris Velegkas
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