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In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

Differential Privacy (DP) provides strong guarantees on the risk of compromising a user's data in statistical learning applications, though these strong protections make learning challenging and may be too stringent for some use cases. To…

Machine Learning · Computer Science 2019-12-10 Hilal Asi , John Duchi , Omid Javidbakht

We find that scale-free random networks are excellently modeled by a deterministic graph. This graph has a discrete degree distribution (degree is the number of connections of a vertex) which is characterized by a power-law with exponent…

Statistical Mechanics · Physics 2009-11-07 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Decentralized optimization is increasingly popular in machine learning for its scalability and efficiency. Intuitively, it should also provide better privacy guarantees, as nodes only observe the messages sent by their neighbors in the…

Cryptography and Security · Computer Science 2024-06-12 Edwige Cyffers , Mathieu Even , Aurélien Bellet , Laurent Massoulié

We present a differentially private mechanism to display statistics (e.g., the moving average) of a stream of real valued observations where the bound on each observation is either too conservative or unknown in advance. This is…

Cryptography and Security · Computer Science 2018-11-09 Victor Perrier , Hassan Jameel Asghar , Dali Kaafar

Motivated by the increasing deployment of reinforcement learning in the real world, involving a large consumption of personal data, we introduce a differentially private (DP) policy gradient algorithm. We show that, in this setting, the…

Machine Learning · Computer Science 2025-02-03 Alexandre Rio , Merwan Barlier , Igor Colin

Modelling edge weights play a crucial role in the analysis of network data, which reveals the extent of relationships among individuals. Due to the diversity of weight information, sharing these data has become a complicated challenge in a…

Statistics Theory · Mathematics 2020-04-28 Yifan Fan , Huiming Zhang , Ting Yan

We study the privatization of distributed learning and optimization strategies. We focus on differential privacy schemes and study their effect on performance. We show that the popular additive random perturbation scheme degrades…

Machine Learning · Computer Science 2023-01-18 Elsa Rizk , Stefan Vlaski , Ali H. Sayed

Differential privacy is often applied with a privacy parameter that is larger than the theory suggests is ideal; various informal justifications for tolerating large privacy parameters have been proposed. In this work, we consider partial…

Cryptography and Security · Computer Science 2022-09-12 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Thomas Steinke

Link prediction (LP) algorithms propose to each node a ranked list of nodes that are currently non-neighbors, as the most likely candidates for future linkage. Owing to increasing concerns about privacy, users (nodes) may prefer to keep…

Social and Information Networks · Computer Science 2020-12-15 Abir De , Soumen Chakrabarti

Graph data is used in a wide range of applications, while analyzing graph data without protection is prone to privacy breach risks. To mitigate the privacy risks, we resort to the standard technique of differential privacy to publish a…

Cryptography and Security · Computer Science 2023-10-16 Quan Yuan , Zhikun Zhang , Linkang Du , Min Chen , Peng Cheng , Mingyang Sun

LDP (Local Differential Privacy) has been widely studied to estimate statistics of personal data (e.g., distribution underlying the data) while protecting users' privacy. Although LDP does not require a trusted third party, it regards all…

Databases · Computer Science 2019-05-28 Takao Murakami , Yusuke Kawamoto

Differential Privacy (DP) has become a gold standard in privacy-preserving data analysis. While it provides one of the most rigorous notions of privacy, there are many settings where its applicability is limited. Our main contribution is in…

Cryptography and Security · Computer Science 2021-10-20 Aman Bansal , Rahul Chunduru , Deepesh Data , Manoj Prabhakaran

When collecting information, local differential privacy (LDP) relieves the concern of privacy leakage from users' perspective, as user's private information is randomized before sent to the aggregator. We study the problem of recovering the…

Cryptography and Security · Computer Science 2019-12-04 Zitao Li , Tianhao Wang , Milan Lopuhaä-Zwakenberg , Boris Skoric , Ninghui Li

We analyze the fine-grained connections between the average degree and the power-law degree distribution exponent in growing information networks. Our starting observation is a power-law degree distribution with a decreasing exponent and…

Social and Information Networks · Computer Science 2017-01-03 Róbert Pálovics , András A. Benczúr

The privacy loss distribution (PLD) provides a tight characterization of the privacy loss of a mechanism in the context of differential privacy (DP). Recent work has shown that PLD-based accounting allows for tighter $(\varepsilon,…

Data Structures and Algorithms · Computer Science 2022-07-12 Vadym Doroshenko , Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi

Differential Privacy (DP) is the current gold-standard for ensuring privacy for statistical queries. Estimation problems under DP constraints appearing in the literature have largely focused on providing equal privacy to all users. We…

Machine Learning · Computer Science 2025-04-22 Syomantak Chaudhuri , Thomas A. Courtade

Bounding privacy leakage over compositions, i.e., privacy accounting, is a key challenge in differential privacy (DP). The privacy parameter ($\eps$ or $\delta$) is often easy to estimate but hard to bound. In this paper, we propose a new…

Cryptography and Security · Computer Science 2023-11-22 Jiachen T. Wang , Saeed Mahloujifar , Tong Wu , Ruoxi Jia , Prateek Mittal

This paper proposes a differentially private gradient-tracking-based distributed stochastic optimization algorithm over directed graphs. In particular, privacy noises are incorporated into each agent's state and tracking variable to…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Jialong Chen , Jimin Wang , Ji-Feng Zhang

Data about individuals may contain private and sensitive information. The differential privacy (DP) was proposed to address the problem of protecting the privacy of each individual while keeping useful information about a population.…

Data Structures and Algorithms · Computer Science 2022-04-27 Chenglin Fan , Ping Li