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We study spectral graph clustering under edge differential privacy. We propose a matrix shuffling mechanism that combines randomized edge flipping with a random permutation of the adjacency matrix. While edge flipping alone provides only a…

Information Theory · Computer Science 2026-05-12 Antti Koskela , Mohamed Seif , H. Vincent Poor , Andrea J. Goldsmith

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…

Optimization and Control · Mathematics 2024-02-07 Yongqiang Wang , Angelia Nedic

R\'{e}nyi Pufferfish Privacy (RPP) provides a R\'{e}nyi divergence-based privacy framework for correlated data, but existing $\infty$-Wasserstein mechanisms are often conservative and sacrifice data utility. We study Gaussian mechanisms for…

Cryptography and Security · Computer Science 2026-04-28 Wenjin Yang , Ni Ding , Zijian Zhang , Zhen Li , Jing Sun , Jincheng An , Yong Liu , Liehuang Zhu

In many signal processing and machine learning applications, datasets containing private information are held at different locations, requiring the development of distributed privacy-preserving algorithms. Tensor and matrix factorizations…

Machine Learning · Statistics 2019-04-23 Hafiz Imtiaz , Anand D. Sarwate

We consider training models on private data that are distributed across user devices. To ensure privacy, we add on-device noise and use secure aggregation so that only the noisy sum is revealed to the server. We present a comprehensive…

Machine Learning · Computer Science 2022-09-12 Peter Kairouz , Ziyu Liu , Thomas Steinke

In this paper, we develop compositional methods for formally verifying differential privacy for algorithms whose analysis goes beyond the composition theorem. Our methods are based on the observation that differential privacy has deep…

Logic in Computer Science · Computer Science 2021-03-16 Gilles Barthe , Marco Gaboardi , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

This paper describes a differentially private post-processing algorithm for learning fair regressors satisfying statistical parity, addressing privacy concerns of machine learning models trained on sensitive data, as well as fairness…

Machine Learning · Computer Science 2024-05-08 Ruicheng Xian , Qiaobo Li , Gautam Kamath , Han Zhao

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

In privacy-preserving machine learning, individual parties are reluctant to share their sensitive training data due to privacy concerns. Even the trained model parameters or prediction can pose serious privacy leakage. To address these…

Cryptography and Security · Computer Science 2020-09-04 Lingjuan Lyu , Yee Wei Law , Kee Siong Ng , Shibei Xue , Jun Zhao , Mengmeng Yang , Lei Liu

This paper studies the privacy-preserving distributed optimization problem under limited communication, where each agent aims to keep its cost function private while minimizing the sum of all agents' cost functions. To this end, we propose…

Optimization and Control · Mathematics 2024-05-02 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

We consider a distributed optimal power flow formulated as an optimization problem that maximizes a nondifferentiable concave function. Solving such a problem by the existing distributed algorithms can lead to data privacy issues because…

Optimization and Control · Mathematics 2021-10-13 Minseok Ryu , Kibaek Kim

Federated learning synchronizes models through gradient transmission and aggregation. However, these gradients pose significant privacy risks, as sensitive training data is embedded within them. Existing gradient inversion attacks suffer…

Cryptography and Security · Computer Science 2025-11-18 Jiayang Meng , Tao Huang , Hong Chen , Chen Hou , Guolong Zheng

Privacy breaches of cyber-physical systems could expose vulnerabilities to an adversary. Here, privacy leaks of step inputs to linear-time-invariant systems are mitigated through additive Gaussian noise. Fundamental lower bounds on the…

Systems and Control · Electrical Eng. & Systems 2020-09-09 Rijad Alisic , Marco Molinari , Philip E. Paré , Henrik Sandberg

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…

Cryptography and Security · Computer Science 2022-03-22 Shuying Qin , Jianping He , Chongrong Fang , James Lam

We characterize the minimum noise amplitude and power for noise-adding mechanisms in $(\epsilon, \delta)$-differential privacy for single real-valued query function. We derive new lower bounds using the duality of linear programming, and…

Cryptography and Security · Computer Science 2019-02-06 Quan Geng , Wei Ding , Ruiqi Guo , Sanjiv Kumar

In this paper, we define noiseless privacy, as a non-stochastic rival to differential privacy, requiring that the outputs of a mechanism (i.e., function composition of a privacy-preserving mapping and a query) can attain only a few values…

Information Theory · Computer Science 2019-10-30 Farhad Farokhi

Synthetic data has been hailed as the silver bullet for privacy preserving data analysis. If a record is not real, then how could it violate a person's privacy? In addition, deep-learning based generative models are employed successfully to…

Machine Learning · Computer Science 2023-07-14 Benedikt Groß , Gerhard Wunder

This chapter is meant to be part of the book "Differential Privacy for Artificial Intelligence Applications." We give an introduction to the most important property of differential privacy -- composition: running multiple independent…

Cryptography and Security · Computer Science 2022-10-27 Thomas Steinke

Differential privacy is widely adopted to provide provable privacy guarantees in data analysis. We consider the problem of combining public and private data (and, more generally, data with heterogeneous privacy needs) for estimating…

Machine Learning · Computer Science 2021-11-02 Cecilia Ferrando , Jennifer Gillenwater , Alex Kulesza

Discrete diffusion models, like continuous diffusion models, generate high-quality samples by gradually undoing noise applied to datapoints with a Markov process. Gradual generation in theory comes with many conceptual benefits; for…

Machine Learning · Computer Science 2025-09-30 Alan N. Amin , Nate Gruver , Andrew Gordon Wilson