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Privacy preserving data analysis (PPDA) has received increasing attention due to a great variety of applications. Local differential privacy (LDP), as an emerging standard that is suitable for PPDA, has been widely deployed into various…

Cryptography and Security · Computer Science 2021-12-10 Fei Ma , Renbo Zhu , Ping Wang

Local differential privacy (LDP) has emerged as a gold-standard framework for privacy-preserving data analysis. However, characterizing the optimal privacy-utility trade-off (PUT) and the corresponding optimal LDP channels remains largely…

Cryptography and Security · Computer Science 2026-05-05 Seung-Hyun Nam , Hyun-Young Park , Si-Hyeon Lee

We propose a new first-order primal-dual optimization framework for a convex optimization template with broad applications. Our optimization algorithms feature optimal convergence guarantees under a variety of common structure assumptions…

Optimization and Control · Mathematics 2018-02-23 Quoc Tran-Dinh , Olivier Fercoq , Volkan Cevher

Optimal transport has been used extensively in resource matching to promote the efficiency of resources usages by matching sources to targets. However, it requires a significant amount of computations and storage spaces for large-scale…

Optimization and Control · Mathematics 2019-04-10 Rui Zhang , Quanyan Zhu

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Richard Heusdens , Guoqiang Zhang

Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged…

Cryptography and Security · Computer Science 2018-10-09 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

We consider a federated data analytics problem in which a server coordinates the collaborative data analysis of multiple users with privacy concerns and limited communication capability. The commonly adopted compression schemes introduce…

Cryptography and Security · Computer Science 2024-02-02 Richeng Jin , Zhonggen Su , Caijun Zhong , Zhaoyang Zhang , Tony Quek , Huaiyu Dai

In this work, we study decentralized convex constrained optimization problems in networks. We focus on the dual averaging-based algorithmic framework that is well-documented to be superior in handling constraints and complex communication…

Optimization and Control · Mathematics 2022-08-16 Changxin Liu , Yang Shi , Huiping Li , Wenli Du

Differential Privacy (DP) is a widely adopted technique, valued for its effectiveness in protecting the privacy of task-specific datasets, making it a critical tool for large language models. However, its effectiveness in Multimodal Large…

Cryptography and Security · Computer Science 2025-06-10 Qianshan Wei , Jiaqi Li , Zihan You , Yi Zhan , Kecen Li , Jialin Wu , Xinfeng Li Hengjun Liu , Yi Yu , Bin Cao , Yiwen Xu , Yang Liu , Guilin Qi

In this paper, we study the privacy-preserving distributed optimization problem, aiming to prevent attackers from stealing the private information of agents. For this purpose, we propose a novel privacy-preserving algorithm based on the…

Optimization and Control · Mathematics 2024-05-15 Bing Liu , Furan Xie , Li Chai

This paper proposes a fast decentralized algorithm for solving a consensus optimization problem defined in a directed networked multi-agent system, where the local objective functions have the smooth+nonsmooth composite form, and are…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-28 Jinshan Zeng , Tao He , Mingwen Wang

We present a new class of decentralized first-order methods for nonsmooth and stochastic optimization problems defined over multiagent networks. Considering that communication is a major bottleneck in decentralized optimization, our main…

Optimization and Control · Mathematics 2017-02-07 Guanghui Lan , Soomin Lee , Yi Zhou

We consider the problem of differentially private stochastic convex optimization (DP-SCO) in a distributed setting with $M$ clients, where each of them has a local dataset of $N$ i.i.d. data samples from an underlying data distribution. The…

Machine Learning · Computer Science 2025-01-07 Sudeep Salgia , Nikola Pavlovic , Yuejie Chi , Qing Zhao

This paper considers the problem of releasing privacy-preserving load data of a decentralized operated power system. The paper focuses on data used to solve Optimal Power Flow (OPF) problems and proposes a distributed algorithm that…

Optimization and Control · Mathematics 2020-04-20 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

Differential privacy is becoming one gold standard for protecting the privacy of publicly shared data. It has been widely used in social science, data science, public health, information technology, and the U.S. decennial census.…

Cryptography and Security · Computer Science 2022-06-07 Xuan Bi , Xiaotong Shen

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

Optimization and Control · Mathematics 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

Optimization and Control · Mathematics 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi

Local differential privacy (LDP) can provide each user with strong privacy guarantees under untrusted data curators while ensuring accurate statistics derived from privatized data. Due to its powerfulness, LDP has been widely adopted to…

Cryptography and Security · Computer Science 2019-06-06 Teng Wang , Jun Zhao , Xinyu Yang , Xuebin Ren

In this paper, we design user-centric obfuscation mechanisms that impose the minimum utility loss for guaranteeing user's privacy. We optimize utility subject to a joint guarantee of differential privacy (indistinguishability) and…

Cryptography and Security · Computer Science 2015-05-29 Reza Shokri