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Learning problems form an important category of computational tasks that generalizes many of the computations researchers apply to large real-life data sets. We ask: what concept classes can be learned privately, namely, by an algorithm…

Machine Learning · Computer Science 2012-10-10 Shiva Prasad Kasiviswanathan , Homin K. Lee , Kobbi Nissim , Sofya Raskhodnikova , Adam Smith

This open problem asks whether there exists an online learning algorithm for binary classification that guarantees, for all target concepts, to make a sublinear number of mistakes, under only the assumption that the (possibly random)…

Machine Learning · Computer Science 2021-07-21 Steve Hanneke

Practical and pervasive needs for robustness and privacy in algorithms have inspired the design of online adversarial and differentially private learning algorithms. The primary quantity that characterizes learnability in these settings is…

Machine Learning · Computer Science 2020-06-19 Nika Haghtalab , Tim Roughgarden , Abhishek Shetty

We propose a general framework for studying adaptive regret bounds in the online learning framework, including model selection bounds and data-dependent bounds. Given a data- or model-dependent bound we ask, "Does there exist some algorithm…

Machine Learning · Computer Science 2020-02-14 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan

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

In this work we analyze the sample complexity of classification by differentially private algorithms. Differential privacy is a strong and well-studied notion of privacy introduced by Dwork et al. (2006) that ensures that the output of an…

Data Structures and Algorithms · Computer Science 2015-09-15 Vitaly Feldman , David Xiao

This paper contributes to the study of CPAC learnability -- a computable version of PAC learning -- by solving three open questions from recent papers. Firstly, we prove that every improperly CPAC learnable class is contained in a class…

Computational Complexity · Computer Science 2023-02-24 Valentino Delle Rose , Alexander Kozachinskiy , Cristobal Rojas , Tomasz Steifer

We consider the relationship between learnability of a "base class" of functions on a set $X$, and learnability of a class of statistical functions derived from the base class. For example, we refine results showing that learnability of a…

Logic in Computer Science · Computer Science 2025-05-28 Aaron Anderson , Michael Benedikt

Class imbalance poses a significant challenge to supervised classification, particularly in critical domains like medical diagnostics and anomaly detection where minority class instances are rare. While numerous studies have explored…

Machine Learning · Computer Science 2025-09-10 Ali Nawaz , Amir Ahmad , Shehroz S. Khan

Machine learning is now ubiquitous in societal decision-making, for example in evaluating job candidates or loan applications, and it is increasingly important to take into account how classified agents will react to the learning…

Machine Learning · Computer Science 2025-08-08 Dravyansh Sharma , Alec Sun

Understanding minimal assumptions that enable learning and generalization is perhaps the central question of learning theory. Several celebrated results in statistical learning theory, such as the VC theorem and Littlestone's…

Machine Learning · Statistics 2026-02-25 Moïse Blanchard , Abhishek Shetty , Alexander Rakhlin

The goal of a learning algorithm is to receive a training data set as input and provide a hypothesis that can generalize to all possible data points from a domain set. The hypothesis is chosen from hypothesis classes with potentially…

Machine Learning · Statistics 2023-03-29 Soosan Beheshti , Mahdi Shamsi

List learning is a variant of supervised classification where the learner outputs multiple plausible labels for each instance rather than just one. We investigate classical principles related to generalization within the context of list…

Machine Learning · Computer Science 2026-03-24 Steve Hanneke , Shay Moran , Tom Waknine

Laws of large numbers guarantee that given a large enough sample from some population, the measure of any fixed sub-population is well-estimated by its frequency in the sample. We study laws of large numbers in sampling processes that can…

Machine Learning · Computer Science 2021-01-25 Noga Alon , Omri Ben-Eliezer , Yuval Dagan , Shay Moran , Moni Naor , Eylon Yogev

An active learner is given a class of models, a large set of unlabeled examples, and the ability to interactively query labels of a subset of these examples; the goal of the learner is to learn a model in the class that fits the data well.…

Machine Learning · Computer Science 2015-06-09 Kamalika Chaudhuri , Sham Kakade , Praneeth Netrapalli , Sujay Sanghavi

We revisit online binary classification by shifting the focus from competing with the best-in-class binary loss to competing against relaxed benchmarks that capture smoothed notions of optimality. Instead of measuring regret relative to the…

Machine Learning · Statistics 2025-04-16 Omar Montasser , Abhishek Shetty , Nikita Zhivotovskiy

Hybrid Reinforcement Learning (RL), where an agent learns from both an offline dataset and online explorations in an unknown environment, has garnered significant recent interest. A crucial question posed by Xie et al. (2022) is whether…

Machine Learning · Statistics 2024-08-09 Kevin Tan , Wei Fan , Yuting Wei

A private learner is trained on a sample of labeled points and generates a hypothesis that can be used for predicting the labels of newly sampled points while protecting the privacy of the training set [Kasiviswannathan et al., FOCS 2008].…

Machine Learning · Computer Science 2023-05-17 Moni Naor , Kobbi Nissim , Uri Stemmer , Chao Yan

In the random-order model for online learning, the sequence of losses is chosen upfront by an adversary and presented to the learner after a random permutation. Any random-order input is \emph{asymptotically} equivalent to a stochastic…

Machine Learning · Computer Science 2025-10-06 Martino Bernasconi , Andrea Celli , Riccardo Colini-Baldeschi , Federico Fusco , Stefano Leonardi , Matteo Russo

Similarity learning is a general problem to elicit useful representations by predicting the relationship between a pair of patterns. This problem is related to various important preprocessing tasks such as metric learning, kernel learning,…

Machine Learning · Statistics 2022-03-02 Han Bao , Takuya Shimada , Liyuan Xu , Issei Sato , Masashi Sugiyama