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Differential privacy is a standard framework to quantify the privacy loss in the data anonymization process. To preserve differential privacy, a random noise adding mechanism is widely adopted, where the trade-off between data privacy level…

密码学与安全 · 计算机科学 2022-03-22 Shuying Qin , Jianping He , Chongrong Fang , James Lam

We present an asymptotically optimal $(\epsilon,\delta)$ differentially private mechanism for answering multiple, adaptively asked, $\Delta$-sensitive queries, settling the conjecture of Steinke and Ullman [2020]. Our algorithm has a…

数据结构与算法 · 计算机科学 2021-11-09 Yuval Dagan , Gil Kur

Quantum computing has been regarded as a promising approach to accelerate power system optimization. However, challenges such as limited qubits and inherent noise hinder their widespread adoption in power systems. In this paper, we propose…

最优化与控制 · 数学 2026-03-18 Yuji Cao , Tongxin Li , Yue Chen

The simplest and most widely applied method for guaranteeing differential privacy is to add instance-independent noise to a statistic of interest that is scaled to its global sensitivity. However, global sensitivity is a worst-case notion…

统计理论 · 数学 2019-06-10 Mark Bun , Thomas Steinke

Convex optimization finds many real-life applications, where--optimized on real data--optimization results may expose private data attributes (e.g., individual health records, commercial information), thus leading to privacy breaches. To…

Differential privacy is one of the methods to solve the problem of privacy protection in federated learning. Setting the same privacy budget for each round will result in reduced accuracy in training. The existing methods of the adjustment…

密码学与安全 · 计算机科学 2024-08-20 Zhiqiang Wang , Xinyue Yu , Qianli Huang , Yongguang Gong

Performing low-rank matrix completion with sensitive user data calls for privacy-preserving approaches. In this work, we propose a novel noise addition mechanism for preserving differential privacy where the noise distribution is inspired…

密码学与安全 · 计算机科学 2022-06-17 R Adithya Gowtham , Gokularam M , Thulasi Tholeti , Sheetal Kalyani

Adaptive optimization methods have become the default solvers for many machine learning tasks. Unfortunately, the benefits of adaptivity may degrade when training with differential privacy, as the noise added to ensure privacy reduces the…

机器学习 · 计算机科学 2022-06-28 Tian Li , Manzil Zaheer , Sashank J. Reddi , Virginia Smith

We study the (nearly) optimal mechanisms in $(\epsilon,\delta)$-approximate differential privacy for integer-valued query functions and vector-valued (histogram-like) query functions under a utility-maximization/cost-minimization framework.…

数据结构与算法 · 计算机科学 2013-12-20 Quan Geng , Pramod Viswanath

Differentially private (DP) mechanisms are difficult to interpret and calibrate because existing methods for mapping standard privacy parameters to concrete privacy risks -- re-identification, attribute inference, and data reconstruction --…

The data transmitted by cyber-physical systems can be intercepted and exploited by malicious individuals to infer privacy-sensitive information regarding the physical system. This motivates us to study the problem of preserving privacy in…

系统与控制 · 电气工程与系统科学 2023-04-04 Teimour Hosseinalizadeh , Nima Monshizadeh

The Fisher information matrix is a quantity of fundamental importance for information geometry and asymptotic statistics. In practice, it is widely used to quickly estimate the expected information available in a data set and guide…

统计方法学 · 统计学 2023-06-06 William R. Coulton , Benjamin D. Wandelt

Noisy data are often viewed as a challenge for decision-making. This paper studies a distributionally robust optimization (DRO) that shows how such noise can be systematically incorporated. Rather than applying DRO to the noisy empirical…

最优化与控制 · 数学 2025-09-03 Chung-Han Hsieh , Rong Gan

Designing robust algorithms capable of training accurate neural networks on uncurated datasets from the web has been the subject of much research as it reduces the need for time consuming human labor. The focus of many previous research…

计算机视觉与模式识别 · 计算机科学 2022-10-18 Paul Albert , Eric Arazo , Tarun Krishna , Noel E. O'Connor , Kevin McGuinness

In this paper, we present a novel optimization algorithm designed specifically for estimating state-space models to deal with heavy-tailed measurement noise and constraints. Our algorithm addresses two significant limitations found in…

信号处理 · 电气工程与系统科学 2024-11-19 Yifan Yu , Shengjie Xiu , Daniel P. Palomar

Robust optimization is a tractable and expressive technique for decision-making under uncertainty, but it can lead to overly conservative decisions when pessimistic assumptions are made on the uncertain parameters. Wasserstein…

最优化与控制 · 数学 2026-04-07 Irina Wang , Cole Becker , Bart Van Parys , Bartolomeo Stellato

Wasserstein metrics are increasingly being used as similarity scores for images treated as discrete measures on a grid, yet their behavior under noise remains poorly understood. In this work, we consider the sensitivity of the signed…

统计理论 · 数学 2026-05-19 Erik Lager , Gilles Mordant , Amit Moscovich

Federated Learning (FL) heavily depends on label quality for its performance. However, the label distribution among individual clients is always both noisy and heterogeneous. The high loss incurred by client-specific samples in…

机器学习 · 计算机科学 2024-03-26 Xinyuan Ji , Zhaowei Zhu , Wei Xi , Olga Gadyatskaya , Zilong Song , Yong Cai , Yang Liu

In derivative-free and blackbox optimization, the objective function is often evaluated through the execution of a computer program seen as a blackbox. It can be noisy, in the sense that its outputs are contaminated by random errors.…

最优化与控制 · 数学 2019-11-15 Stéphane Alarie , Charles Audet , Pierre-Yves Bouchet , Sébastien Le Digabel

This paper investigates the privacy funnel, a privacy-utility tradeoff problem in which mutual information quantifies both privacy and utility. The objective is to maximize utility while adhering to a specified privacy budget. However, the…

信息论 · 计算机科学 2024-08-20 Mohammad Amin Zarrabian , Parastoo Sadeghi