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We introduce a new algorithm for online linear-quadratic control in a known system subject to adversarial disturbances. Existing regret bounds for this setting scale as $\sqrt{T}$ unless strong stochastic assumptions are imposed on the…

Machine Learning · Computer Science 2020-06-24 Dylan J. Foster , Max Simchowitz

Private record linkage (PRL) is the problem of identifying pairs of records that are similar as per an input matching rule from databases held by two parties that do not trust one another. We identify three key desiderata that a PRL…

Databases · Computer Science 2017-09-04 Xi He , Ashwin Machanavajjhala , Cheryl Flynn , Divesh Srivastava

Based on differential privacy (DP) framework, we introduce and unify privacy definitions for the multi-armed bandit algorithms. We represent the framework with a unified graphical model and use it to connect privacy definitions. We derive…

Machine Learning · Computer Science 2020-06-25 Debabrota Basu , Christos Dimitrakakis , Aristide Tossou

Understanding how to efficiently learn while adhering to safety constraints is essential for using online reinforcement learning in practical applications. However, proving rigorous regret bounds for safety-constrained reinforcement…

Machine Learning · Statistics 2025-04-29 Benjamin Schiffer , Lucas Janson

We propose an online learning algorithm that adaptively designs a decentralized linear quadratic regulator when the system model is unknown a priori and new data samples from a single system trajectory become progressively available. The…

Optimization and Control · Mathematics 2024-07-08 Lintao Ye , Ming Chi , Ruiquan Liao , Vijay Gupta

We consider the problem of online learning in Linear Quadratic Control systems whose state transition and state-action transition matrices $A$ and $B$ may be initially unknown. We devise an online learning algorithm and provide guarantees…

Machine Learning · Computer Science 2021-09-30 Yassir Jedra , Alexandre Proutiere

Regret analysis is challenging in Multi-Agent Reinforcement Learning (MARL) primarily due to the dynamical environments and the decentralized information among agents. We attempt to solve this challenge in the context of decentralized…

Machine Learning · Computer Science 2020-01-29 Seyed Mohammad Asghari , Yi Ouyang , Ashutosh Nayyar

We consider the task of learning to control a linear dynamical system under fixed quadratic costs, known as the Linear Quadratic Regulator (LQR) problem. While model-free approaches are often favorable in practice, thus far only model-based…

Machine Learning · Computer Science 2021-02-26 Asaf Cassel , Tomer Koren

Preference-based fine-tuning has become an important component in training large language models, and the data used at this stage may contain sensitive user information. A central question is how to design a differentially private pipeline…

Machine Learning · Statistics 2026-03-25 Young Hyun Cho , Will Wei Sun

Online prediction from experts is a fundamental problem in machine learning and several works have studied this problem under privacy constraints. We propose and analyze new algorithms for this problem that improve over the regret bounds of…

Machine Learning · Computer Science 2023-07-03 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

This work addresses the problem of revenue maximization in a repeated, unlimited supply item-pricing auction while preserving buyer privacy. We present a novel algorithm that provides differential privacy with respect to the buyer's input…

Computer Science and Game Theory · Computer Science 2023-10-31 Joon Suk Huh

Local differential privacy (LDP) has become a central topic in data privacy research, offering strong privacy guarantees by perturbing user data at the source and removing the need for a trusted curator. However, the noise introduced by LDP…

Machine Learning · Computer Science 2026-03-04 Caihong Qin , Yang Bai

In this paper, we propose and analyze a new method for online linear quadratic regulator (LQR) control with a priori unknown time-varying cost matrices. The cost matrices are revealed sequentially with the potential for future values to be…

Optimization and Control · Mathematics 2023-02-22 Yitian Chen , Timothy L. Molloy , Tyler Summers , Iman Shames

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 study the statistical complexity of private linear regression under an unknown, potentially ill-conditioned covariate distribution. Somewhat surprisingly, under privacy constraints the intrinsic complexity is \emph{not} captured by the…

Machine Learning · Computer Science 2025-11-06 Fan Chen , Jiachun Li , Alexander Rakhlin , David Simchi-Levi

We consider the problem of fitting a linear model to data held by individuals who are concerned about their privacy. Incentivizing most players to truthfully report their data to the analyst constrains our design to mechanisms that provide…

Computer Science and Game Theory · Computer Science 2015-06-12 Rachel Cummings , Stratis Ioannidis , Katrina Ligett

Deep Reinforcement Learning (DRL) policies have been shown to be vulnerable to small adversarial noise in observations. Such adversarial noise can have disastrous consequences in safety-critical environments. For instance, a self-driving…

Machine Learning · Computer Science 2024-03-28 Roman Belaire , Pradeep Varakantham , Thanh Nguyen , David Lo

Private regression has received attention from both database and security communities. Recent work by Fredrikson et al. (USENIX Security 2014) analyzed the functional mechanism (Zhang et al. VLDB 2012) for training linear regression models…

Cryptography and Security · Computer Science 2015-12-22 Xi Wu , Matthew Fredrikson , Wentao Wu , Somesh Jha , Jeffrey F. Naughton

We consider the well-studied dueling bandit problem, where a learner aims to identify near-optimal actions using pairwise comparisons, under the constraint of differential privacy. We consider a general class of utility-based preference…

Machine Learning · Computer Science 2024-03-25 Aadirupa Saha , Hilal Asi

Differential Privacy (DP) provides a rigorous framework for privacy, ensuring the outputs of data-driven algorithms remain statistically indistinguishable across datasets that differ in a single entry. While guaranteeing DP generally…

Machine Learning · Computer Science 2025-10-17 Yizhou Zhang , Kishan Panaganti , Laixi Shi , Juba Ziani , Adam Wierman