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We study multiclass classification in the agnostic adversarial online learning setting. As our main result, we prove that any multiclass concept class is agnostically learnable if and only if its Littlestone dimension is finite. This solves…

Machine Learning · Computer Science 2023-07-10 Steve Hanneke , Shay Moran , Vinod Raman , Unique Subedi , Ambuj Tewari

We study the sample complexity of differentially private optimization of quasi-concave functions. For a fixed input domain $\mathcal{X}$, Cohen et al. (STOC 2023) proved that any generic private optimizer for low sensitive quasi-concave…

Cryptography and Security · Computer Science 2025-04-29 Kobbi Nissim , Eliad Tsfadia , Chao Yan

This work examines a novel question: how much randomness is needed to achieve local differential privacy (LDP)? A motivating scenario is providing {\em multiple levels of privacy} to multiple analysts, either for distribution or for…

Cryptography and Security · Computer Science 2020-05-26 Antonious M. Girgis , Deepesh Data , Kamalika Chaudhuri , Christina Fragouli , Suhas Diggavi

In this work, we analyze the learnability of reproducing kernel Hilbert spaces (RKHS) under the $L^\infty$ norm, which is critical for understanding the performance of kernel methods and random feature models in safety- and…

Machine Learning · Statistics 2023-06-06 Hongrui Chen , Jihao Long , Lei Wu

Label differential privacy (DP) is designed for learning problems involving private labels and public features. While various methods have been proposed for learning under label DP, the theoretical limits remain largely unexplored. In this…

Machine Learning · Computer Science 2025-03-04 Puning Zhao , Chuan Ma , Li Shen , Shaowei Wang , Rongfei Fan

We study simple binary hypothesis testing under both local differential privacy (LDP) and communication constraints. We qualify our results as either minimax optimal or instance optimal: the former hold for the set of distribution pairs…

Statistics Theory · Mathematics 2023-12-19 Ankit Pensia , Amir R. Asadi , Varun Jog , Po-Ling Loh

We study example-level private supervised speech classification under a practical release constraint: training may access privileged side information, but the released model must be audio-only. This setting is important because speech…

Sound · Computer Science 2026-05-05 Yadi Wen , Tianxin Li , Enji Liang , Rong Du , Yue Fu

A hypothesis class admits a sample compression scheme, if for every sample labeled by a hypothesis from the class, it is possible to retain only a small subsample, using which the labels on the entire sample can be inferred. The size of the…

Machine Learning · Computer Science 2023-09-22 Chirag Pabbaraju

Differential privacy (DP) is by far the most widely accepted framework for mitigating privacy risks in machine learning. However, exactly how small the privacy parameter $\epsilon$ needs to be to protect against certain privacy risks in…

Machine Learning · Computer Science 2023-08-11 Chuan Guo , Alexandre Sablayrolles , Maziar Sanjabi

We formulate a private learning model to study an intrinsic tradeoff between privacy and query complexity in sequential learning. Our model involves a learner who aims to determine a scalar value, $v^*$, by sequentially querying an external…

Machine Learning · Computer Science 2020-02-27 John N. Tsitsiklis , Kuang Xu , Zhi Xu

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

Data Structures and Algorithms · Computer Science 2021-08-21 Huanyu Zhang

We study the private $k$-median and $k$-means clustering problem in $d$ dimensional Euclidean space. By leveraging tree embeddings, we give an efficient and easy to implement algorithm, that is empirically competitive with state of the art…

Differential privacy (DP) is a popular mechanism for training machine learning models with bounded leakage about the presence of specific points in the training data. The cost of differential privacy is a reduction in the model's accuracy.…

Machine Learning · Computer Science 2019-10-29 Eugene Bagdasaryan , Vitaly Shmatikov

In recent years there has been an increasing interest in learning Bayesian networks from data. One of the most effective methods for learning such networks is based on the minimum description length (MDL) principle. Previous work has shown…

Machine Learning · Computer Science 2013-02-18 Nir Friedman , Zohar Yakhini

Estimating the density of a distribution from its samples is a fundamental problem in statistics. Hypothesis selection addresses the setting where, in addition to a sample set, we are given $n$ candidate distributions -- referred to as…

Data Structures and Algorithms · Computer Science 2025-10-23 Maryam Aliakbarpour , Zhan Shi , Ria Stevens , Vincent X. Wang

We consider three different variants of differential privacy (DP), namely approximate DP, R\'enyi DP (RDP), and hypothesis test DP. In the first part, we develop a machinery for optimally relating approximate DP to RDP based on the joint…

Information Theory · Computer Science 2021-01-26 Shahab Asoodeh , Jiachun Liao , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar

We study the problem of estimating finite sample confidence intervals of the mean of a normal population under the constraint of differential privacy. We consider both the known and unknown variance cases and construct differentially…

Cryptography and Security · Computer Science 2017-11-13 Vishesh Karwa , Salil Vadhan

Texts convey sophisticated knowledge. However, texts also convey sensitive information. Despite the success of general-purpose language models and domain-specific mechanisms with differential privacy (DP), existing text sanitization…

Computation and Language · Computer Science 2021-06-03 Xiang Yue , Minxin Du , Tianhao Wang , Yaliang Li , Huan Sun , Sherman S. M. Chow

We study the computational relationship between replicability (Impagliazzo et al. [STOC `22], Ghazi et al. [NeurIPS `21]) and other stability notions. Specifically, we focus on replicable PAC learning and its connections to differential…

Machine Learning · Computer Science 2026-05-29 Moshe Noivirt , Jessica Sorrell , Eliad Tsfadia

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