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Decentralized optimization is gaining increased traction due to its widespread applications in large-scale machine learning and multi-agent systems. The same mechanism that enables its success, i.e., information sharing among participating…

最优化与控制 · 数学 2024-02-07 Yongqiang Wang , Angelia Nedic

One of the most effective algorithms for differentially private learning and optimization is objective perturbation. This technique augments a given optimization problem (e.g. deriving from an ERM problem) with a random linear term, and…

机器学习 · 计算机科学 2021-01-01 Seth Neel , Aaron Roth , Giuseppe Vietri , Zhiwei Steven Wu

What is the information leakage of an iterative randomized learning algorithm about its training data, when the internal state of the algorithm is \emph{private}? How much is the contribution of each specific training epoch to the…

机器学习 · 统计学 2022-09-12 Rishav Chourasia , Jiayuan Ye , Reza Shokri

Especially in the Big Data era, the usage of different classification methods is increasing day by day. The success of these classification methods depends on the effectiveness of learning methods. Extreme learning machine (ELM)…

密码学与安全 · 计算机科学 2016-02-10 Ferhat Özgür Çatak

Privacy-preserving data analysis is a rising challenge in contemporary statistics, as the privacy guarantees of statistical methods are often achieved at the expense of accuracy. In this paper, we investigate the tradeoff between…

机器学习 · 统计学 2020-11-11 T. Tony Cai , Yichen Wang , Linjun Zhang

Convex programming with linear constraints plays an important role in the operation of a number of everyday systems. However, absent any additional protections, revealing or acting on the solutions to such problems may reveal information…

最优化与控制 · 数学 2024-09-16 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

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)…

机器学习 · 计算机科学 2020-05-12 Vitaly Feldman , Tomer Koren , Kunal Talwar

We introduce a new mechanism for stochastic convex optimization (SCO) with user-level differential privacy guarantees. The convergence rates of this mechanism are similar to those in the prior work of Levy et al. (2021); Narayanan et al.…

机器学习 · 计算机科学 2023-05-09 Badih Ghazi , Pritish Kamath , Ravi Kumar , Raghu Meka , Pasin Manurangsi , Chiyuan Zhang

We study the problem of estimating low-rank matrices from linear measurements (a.k.a., matrix sensing) through nonconvex optimization. We propose an efficient stochastic variance reduced gradient descent algorithm to solve a nonconvex…

机器学习 · 统计学 2017-01-17 Xiao Zhang , Lingxiao Wang , Quanquan Gu

In this paper, we apply machine learning to distributed private data owned by multiple data owners, entities with access to non-overlapping training datasets. We use noisy, differentially-private gradients to minimize the fitness cost of…

密码学与安全 · 计算机科学 2019-07-03 Nan Wu , Farhad Farokhi , David Smith , Mohamed Ali Kaafar

Distributed aggregative optimization underpins many cooperative optimization and multi-agent control systems, where each agent's objective function depends both on its local optimization variable and an aggregate of all agents' optimization…

系统与控制 · 电气工程与系统科学 2026-03-30 Ziqin Chen , Yongqiang Wang

We analyse the privacy leakage of noisy stochastic gradient descent by modeling R\'enyi divergence dynamics with Langevin diffusions. Inspired by recent work on non-stochastic algorithms, we derive similar desirable properties in the…

机器学习 · 统计学 2022-02-08 Théo Ryffel , Francis Bach , David Pointcheval

Differential privacy enables organizations to collect accurate aggregates over sensitive data with strong, rigorous guarantees on individuals' privacy. Previous work has found that under differential privacy, computing multiple correlated…

数据库 · 计算机科学 2016-05-18 Ganzhao Yuan , Yin Yang , Zhenjie Zhang , Zhifeng Hao

User-level differentially private stochastic convex optimization (DP-SCO) has garnered significant attention due to the paramount importance of safeguarding user privacy in modern large-scale machine learning applications. Current methods,…

机器学习 · 计算机科学 2025-02-14 Badih Ghazi , Ravi Kumar , Daogao Liu , Pasin Manurangsi

Optimizing machine learning algorithms that are used to solve the objective function has been of great interest. Several approaches to optimize common algorithms, such as gradient descent and stochastic gradient descent, were explored. One…

机器学习 · 计算机科学 2022-10-06 Hilal AlQuabeh , Farha AlBreiki , Dilshod Azizov

Many resource allocation problems can be formulated as an optimization problem whose constraints contain sensitive information about participating users. This paper concerns solving this kind of optimization problem in a distributed manner…

最优化与控制 · 数学 2016-11-17 Shuo Han , Ufuk Topcu , George J. Pappas

While machine learning has proven to be a powerful data-driven solution to many real-life problems, its use in sensitive domains has been limited due to privacy concerns. A popular approach known as **differential privacy** offers provable…

机器学习 · 统计学 2016-04-28 Yu-Xiang Wang , Jing Lei , Stephen E. Fienberg

As the use of large embedding models in recommendation systems and language applications increases, concerns over user data privacy have also risen. DP-SGD, a training algorithm that combines differential privacy with stochastic gradient…

机器学习 · 计算机科学 2023-11-15 Badih Ghazi , Yangsibo Huang , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Amer Sinha , Chiyuan Zhang

With changes in privacy laws, there is often a hard requirement for client data to remain on the device rather than being sent to the server. Therefore, most processing happens on the device, and only an altered element is sent to the…

密码学与安全 · 计算机科学 2022-12-27 Ajinkya K Mulay

Deep learning models have been extensively adopted in various regions due to their ability to represent hierarchical features, which highly rely on the training set and procedures. Thus, protecting the training process and deep learning…

密码学与安全 · 计算机科学 2025-03-12 Haodi Wang , Tangyu Jiang , Yu Guo , Chengjun Cai , Cong Wang , Xiaohua Jia