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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…

机器学习 · 计算机科学 2023-07-03 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

Finding efficient, easily implementable differentially private (DP) algorithms that offer strong excess risk bounds is an important problem in modern machine learning. To date, most work has focused on private empirical risk minimization…

机器学习 · 计算机科学 2024-09-23 Andrew Lowy , Meisam Razaviyayn

We consider stochastic approximation with block-coordinate stepsizes and propose adaptive stepsize rules that aim to minimize the expected distance from the next iterate to an (unknown) target point. These stepsize rules employ online…

最优化与控制 · 数学 2025-12-09 Tao Jiang , Lin Xiao

Machine learning models are known to memorize private data to reduce their training loss, which can be inadvertently exploited by privacy attacks such as model inversion and membership inference. To protect against these attacks,…

机器学习 · 计算机科学 2023-11-30 Jie Fu , Qingqing Ye , Haibo Hu , Zhili Chen , Lulu Wang , Kuncan Wang , Xun Ran

Balancing utility and differential privacy by shuffling or \textit{BUDS} is an approach towards crowd-sourced, statistical databases, with strong privacy and utility balance using differential privacy theory. Here, a novel algorithm is…

机器学习 · 计算机科学 2020-06-09 Poushali Sengupta , Sudipta Paul , Subhankar Mishra

An open problem in differentially private deep learning is hyperparameter optimization (HPO). DP-SGD introduces new hyperparameters and complicates existing ones, forcing researchers to painstakingly tune hyperparameters with hundreds of…

机器学习 · 计算机科学 2024-05-07 Ashwinee Panda , Xinyu Tang , Saeed Mahloujifar , Vikash Sehwag , Prateek Mittal

This paper shows that a perturbed form of gradient descent converges to a second-order stationary point in a number iterations which depends only poly-logarithmically on dimension (i.e., it is almost "dimension-free"). The convergence rate…

机器学习 · 计算机科学 2017-03-03 Chi Jin , Rong Ge , Praneeth Netrapalli , Sham M. Kakade , Michael I. Jordan

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

Two-point zeroth order methods are important in many applications of zeroth-order optimization, such as robotics, wind farms, power systems, online optimization, and adversarial robustness to black-box attacks in deep neural networks, where…

最优化与控制 · 数学 2023-05-10 Zhaolin Ren , Yujie Tang , Na Li

Differential privacy (DP) is a compelling privacy definition that explains the privacy-utility tradeoff via formal, provable guarantees. Inspired by recent progress toward general-purpose data release algorithms, we propose a private…

数据结构与算法 · 计算机科学 2020-06-17 Benjamin Coleman , Anshumali Shrivastava

In machine learning applications, it is well known that carefully designed learning rate (step size) schedules can significantly improve the convergence of commonly used first-order optimization algorithms. Therefore how to set step size…

最优化与控制 · 数学 2023-10-19 Xiaoyu Wang , Mikael Johansson , Tong Zhang

We propose and analyze several inexact regularized Newton-type methods for finding a global saddle point of convex-concave unconstrained min-max optimization problems. Compared to first-order methods, our understanding of second-order…

最优化与控制 · 数学 2026-05-27 Tianyi Lin , Panayotis Mertikopoulos , Michael I. Jordan

We initiate a study of the streaming complexity of constraint satisfaction problems (CSPs) when the constraints arrive in a random order. We show that there exists a CSP, namely $\textsf{Max-DICUT}$, for which random ordering makes a…

数据结构与算法 · 计算机科学 2023-04-14 Raghuvansh R. Saxena , Noah Singer , Madhu Sudan , Santhoshini Velusamy

Recently differential privacy has been used for a number of streaming, data structure, and dynamic graph problems as a means of hiding the internal randomness of the data structure, so that multiple possibly adaptive queries can be made…

数据结构与算法 · 计算机科学 2025-06-09 Shiyuan Feng , Ying Feng , George Z. Li , Zhao Song , David P. Woodruff , Lichen Zhang

We develop differentially private methods for estimating various distributional properties. Given a sample from a discrete distribution $p$, some functional $f$, and accuracy and privacy parameters $\alpha$ and $\varepsilon$, the goal is to…

数据结构与算法 · 计算机科学 2018-03-02 Jayadev Acharya , Gautam Kamath , Ziteng Sun , Huanyu Zhang

We study differentially private stochastic optimization in convex and non-convex settings. For the convex case, we focus on the family of non-smooth generalized linear losses (GLLs). Our algorithm for the $\ell_2$ setting achieves optimal…

机器学习 · 计算机科学 2021-11-11 Raef Bassily , Cristóbal Guzmán , Michael Menart

Density-adaptive domain discretization is essential for high-utility privacy-preserving analytics but remains challenging under Local Differential Privacy (LDP) due to the privacy-budget costs associated with iterative refinement. We…

机器学习 · 计算机科学 2026-02-24 Alexey Kroshnin , Alexandra Suvorikova

Differentially Private Stochastic Gradient Descent (DP-SGD) is a standard method for enforcing privacy in deep learning, typically using the Gaussian mechanism to perturb gradient updates. However, conventional mechanisms such as Gaussian…

密码学与安全 · 计算机科学 2025-09-09 Qin Yang , Nicholas Stout , Meisam Mohammady , Han Wang , Ayesha Samreen , Christopher J Quinn , Yan Yan , Ashish Kundu , Yuan Hong

In this paper, an adjustment to the original differentially private stochastic gradient descent (DPSGD) algorithm for deep learning models is proposed. As a matter of motivation, to date, almost no state-of-the-art machine learning…

机器学习 · 计算机科学 2021-07-13 Mehdi Amian

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

统计理论 · 数学 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh