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We study the optimal sample complexity of a given workload of linear queries under the constraints of differential privacy. The sample complexity of a query answering mechanism under error parameter $\alpha$ is the smallest $n$ such that…

Data Structures and Algorithms · Computer Science 2016-12-12 Assimakis Kattis , Aleksandar Nikolov

In this paper, we consider the problem of preserving privacy in the online learning setting. We study the problem in the online convex programming (OCP) framework---a popular online learning setting with several interesting theoretical and…

Machine Learning · Computer Science 2015-03-19 Prateek Jain , Pravesh Kothari , Abhradeep Thakurta

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

Several recent studies in privacy-preserving learning have considered the trade-off between utility or risk and the level of differential privacy guaranteed by mechanisms for statistical query processing. In this paper we study this…

Machine Learning · Computer Science 2009-12-01 Benjamin I. P. Rubinstein , Peter L. Bartlett , Ling Huang , Nina Taft

Many commonly used learning algorithms work by iteratively updating an intermediate solution using one or a few data points in each iteration. Analysis of differential privacy for such algorithms often involves ensuring privacy of each step…

Machine Learning · Computer Science 2018-12-12 Vitaly Feldman , Ilya Mironov , Kunal Talwar , Abhradeep Thakurta

Pairwise learning focuses on learning tasks with pairwise loss functions, depends on pairs of training instances, and naturally fits for modeling relationships between pairs of samples. In this paper, we focus on the privacy of pairwise…

Machine Learning · Computer Science 2021-06-02 Yilin Kang , Yong Liu , Jian Li , Weiping Wang

Hyperparameter tuning is a common practice in the application of machine learning but is a typically ignored aspect in the literature on privacy-preserving machine learning due to its negative effect on the overall privacy parameter. In…

Machine Learning · Computer Science 2025-05-26 Youlong Ding , Xueyang Wu

One of the big challenges in machine learning applications is that training data can be different from the real-world data faced by the algorithm. In language modeling, users' language (e.g. in private messaging) could change in a year and…

Computation and Language · Computer Science 2018-03-07 Vadim Popov , Mikhail Kudinov , Irina Piontkovskaya , Petr Vytovtov , Alex Nevidomsky

The last few years have seen a surge of work on high dimensional statistics under privacy constraints, mostly following two main lines of work: the ``worst case'' line, which does not make any distributional assumptions on the input data;…

Statistics Theory · Mathematics 2022-08-17 Omri Ben-Eliezer , Dan Mikulincer , Ilias Zadik

Differentially private mean estimation is an important building block in privacy-preserving algorithms for data analysis and machine learning. Though the trade-off between privacy and utility is well understood in the worst case, many…

Cryptography and Security · Computer Science 2024-04-11 Martin Aumüller , Christian Janos Lebeda , Boel Nelson , Rasmus Pagh

Privacy concerns with sensitive data are receiving increasing attention. In this paper, we study local differential privacy (LDP) in interactive decentralized optimization. By constructing random local aggregators, we propose a framework to…

Optimization and Control · Mathematics 2019-06-04 Hanshen Xiao , Yu Ye , Srinivas Devadas

We consider the noise complexity of differentially private mechanisms in the setting where the user asks $d$ linear queries $f\colon\Rn\to\Re$ non-adaptively. Here, the database is represented by a vector in $\Rn$ and proximity between…

Computational Complexity · Computer Science 2009-11-09 Moritz Hardt , Kunal Talwar

We study differentially private approximation algorithms for positive linear programs (LPs with nonnegative coefficients and variables), focusing on the fundamental families of packing, covering, and mixed packing-covering formulations. We…

Data Structures and Algorithms · Computer Science 2026-05-28 Alina Ene , Huy Le Nguyen , Ta Duy Nguyen , Adrian Vladu

In the field of machine learning, many problems can be formulated as the minimax problem, including reinforcement learning, generative adversarial networks, to just name a few. So the minimax problem has attracted a huge amount of…

Machine Learning · Computer Science 2022-04-25 Yilin Kang , Yong Liu , Jian Li , Weiping Wang

We provide a simple and flexible framework for designing differentially private algorithms to find approximate stationary points of non-convex loss functions. Our framework is based on using a private approximate risk minimizer to "warm…

Machine Learning · Computer Science 2024-08-21 Andrew Lowy , Jonathan Ullman , Stephen J. Wright

The privacy of data is a major challenge in machine learning as a trained model may expose sensitive information of the enclosed dataset. Besides, the limited computation capability and capacity of edge devices have made cloud-hosted…

Machine Learning · Computer Science 2020-05-15 Behnam Khaleghi , Mohsen Imani , Tajana Rosing

We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

Information Theory · Computer Science 2025-12-10 Haoyang Hu , Viveck R. Cadambe

Previous work on user-level differential privacy (DP) [Ghazi et al. NeurIPS 2021, Bun et al. STOC 2023] obtained generic algorithms that work for various learning tasks. However, their focus was on the example-rich regime, where the users…

Data Structures and Algorithms · Computer Science 2023-09-25 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Raghu Meka , Chiyuan Zhang

In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

Cryptography and Security · Computer Science 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya

Strict privacy is of paramount importance in distributed machine learning. Federated learning, with the main idea of communicating only what is needed for learning, has been recently introduced as a general approach for distributed learning…

Cryptography and Security · Computer Science 2020-07-14 Mikko A. Heikkilä , Antti Koskela , Kana Shimizu , Samuel Kaski , Antti Honkela
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