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Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the risk of the resulting statistical estimators. We develop private versions of classical…

Statistics Theory · Mathematics 2017-11-16 John Duchi , Martin Wainwright , Michael Jordan

This paper investigates the maximal secrecy rate over a wiretap channel subject to reliability and secrecy constraints at a given blocklength. New achievability and converse bounds are derived, which are shown to be tighter than existing…

Information Theory · Computer Science 2016-01-25 Wei Yang , Rafael F. Schaefer , H. Vincent Poor

We present an algorithm based on posterior sampling (aka Thompson sampling) that achieves near-optimal worst-case regret bounds when the underlying Markov Decision Process (MDP) is communicating with a finite, though unknown, diameter. Our…

Machine Learning · Computer Science 2020-04-01 Shipra Agrawal , Randy Jia

We derive a lower bound on the secrecy capacity of the compound wiretap channel with channel state information at the transmitter which matches the general upper bound on the secrecy capacity of general compound wiretap channels given by…

Information Theory · Computer Science 2016-11-17 Igor Bjelakovic , Holger Boche , Jochen Sommerfeld

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

We introduce a formal model for the information leakage of probability distributions and define a notion called distribution privacy as the local differential privacy for probability distributions. Roughly, the distribution privacy of a…

Cryptography and Security · Computer Science 2023-07-19 Yusuke Kawamoto , Takao Murakami

We study the problem of efficient compression of a stochastic source of probability distributions. It can be viewed as a generalization of Shannon's source coding problem. It has relation to the theory of common randomness, as well as to…

Quantum Physics · Physics 2016-09-08 Andreas Winter

For the modeling, design and planning of future energy transmission networks, it is vital for stakeholders to access faithful and useful power flow data, while provably maintaining the privacy of business confidentiality of service…

Cryptography and Security · Computer Science 2021-03-29 David Smith , Frederik Geth , Elliott Vercoe , Andrew Feutrill , Ming Ding , Jonathan Chan , James Foster , Thierry Rakotoarivelo

We consider a private hypothesis testing scenario, including both symmetric and asymmetric testing, based on classical data samples. The utility is measured by the error exponents, namely the Chernoff information and the relative entropy,…

Quantum Physics · Physics 2025-09-01 Seung-Hyun Nam , Hyun-Young Park , Si-Hyeon Lee , Joonwoo Bae

This paper focuses on the problem of Differentially Private Stochastic Optimization for (multi-layer) fully connected neural networks with a single output node. In the first part, we examine cases with no hidden nodes, specifically focusing…

Machine Learning · Computer Science 2023-10-13 Hanpu Shen , Cheng-Long Wang , Zihang Xiang , Yiming Ying , Di Wang

A rotatable antenna, which is able to dynamically adjust its deflection angle, is promising to achieve better physical layer security performance for wireless communications. In this paper, considering practical scenarios with non-real-time…

Information Theory · Computer Science 2025-11-25 Pengchuan Jiang , Quanzhong Li , Lifeng Mai , Qi Zhang

We obtain upper bounds for the Steklov eigenvalues of warped products $\Omega\times_h\Sigma$, where $\Omega$ is a compact Riemannian manifold with boundary and $\Sigma$ is a closed Riemannian manifold. These bounds involve the volume of…

Spectral Theory · Mathematics 2025-12-18 Jade Brisson , Bruno Colbois , Alexandre Girouard , Katie Gittins

In this paper, we study the problem of (finite sum) minimax optimization in the Differential Privacy (DP) model. Unlike most of the previous studies on the (strongly) convex-concave settings or loss functions satisfying the…

Machine Learning · Computer Science 2025-03-25 Ruijia Zhang , Mingxi Lei , Meng Ding , Zihang Xiang , Jinhui Xu , Di Wang

A learner aims to minimize a function $f$ by repeatedly querying a distributed oracle that provides noisy gradient evaluations. At the same time, the learner seeks to hide $\arg\min f$ from a malicious eavesdropper that observes the…

Machine Learning · Computer Science 2023-08-21 Adit Jain , Vikram Krishnamurthy

The notions of privacy tests and $k$-extendible states have both been instrumental in quantum information theory, particularly in understanding the limits of secure communication. In this paper, we determine the maximum probability with…

Quantum Physics · Physics 2025-11-07 Vishal Singh , Karol Horodecki , Aby Philip , Mark M. Wilde

Stochastic convex optimization over an $\ell_1$-bounded domain is ubiquitous in machine learning applications such as LASSO but remains poorly understood when learning with differential privacy. We show that, up to logarithmic factors the…

Machine Learning · Computer Science 2021-03-03 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

In this paper, we investigate the physical layer security over the Alternate Rician Shadowed fading channel, which is a novel channel model for body-centric wireless links and land mobile satellite. We derive exact closed-form expressions…

Information Theory · Computer Science 2020-12-02 Xiaoqi Wang , Jiayi Zhang , Hongyang Du , Ning Wang , Bo Ai

We study differentially private (DP) algorithms for stochastic convex optimization: the problem of minimizing the population loss given i.i.d. samples from a distribution over convex loss functions. A recent work of Bassily et al. (2019)…

Machine Learning · Computer Science 2020-05-12 Vitaly Feldman , Tomer Koren , Kunal Talwar

In this paper, we investigate the secrecy performance of stochastic MIMO wireless networks over small-scale $\alpha$-$\mu$ fading channels, where both the legitimate receivers and eavesdroppers are distributed with two independent…

Information Theory · Computer Science 2018-10-03 Long Kong , Satyanarayana Vuppala , Georges Kaddoum

We prove new upper and lower bounds on the sample complexity of $(\epsilon, \delta)$ differentially private algorithms for releasing approximate answers to threshold functions. A threshold function $c_x$ over a totally ordered domain $X$…

Cryptography and Security · Computer Science 2024-12-23 Mark Bun , Kobbi Nissim , Uri Stemmer , Salil Vadhan
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