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In the intricate dance of multi-agent systems, achieving average consensus is not just vital--it is the backbone of their functionality. In conventional average consensus algorithms, all agents reach an agreement by individual calculations…

Multiagent Systems · Computer Science 2024-12-12 Huqiang Cheng , Mengying Xie , Xiaowei Yang , Qingguo Lü , Huaqing Li

To analyze the privacy guarantee of personal data in a database that is subject to queries it is necessary to model the prior knowledge of a possible attacker. Differential privacy considers a worst-case scenario where he knows almost…

Cryptography and Security · Computer Science 2025-03-03 Dennis Breutigam , Rüdiger Reischuk

This work investigates the problem of analyzing privacy of abrupt changes for general Markov processes. These processes may be affected by changes, or exogenous signals, that need to remain private. Privacy refers to the disclosure of…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Alessio Russo , Alexandre Proutiere

We study statistical estimation under local differential privacy (LDP) when users may hold heterogeneous privacy levels and accuracy must be guaranteed with high probability. Departing from the common in-expectation analyses, and for…

Machine Learning · Statistics 2025-10-15 Maryam Aliakbarpour , Alireza Fallah , Swaha Roy , Ria Stevens

This is a paper about private data analysis, in which a trusted curator holding a confidential database responds to real vector-valued queries. A common approach to ensuring privacy for the database elements is to add appropriately…

Cryptography and Security · Computer Science 2011-12-23 Anindya De

In this paper, we present a notion of differential privacy (DP) for data that comes from different classes. Here, the class-membership is private information that needs to be protected. The proposed method is an output perturbation…

Signal Processing · Electrical Eng. & Systems 2023-06-12 Raksha Ramakrishna , Anna Scaglione , Tong Wu , Nikhil Ravi , Sean Peisert

Stemming from information-theoretic learning, the correntropy criterion and its applications to machine learning tasks have been extensively explored and studied. Its application to regression problems leads to the robustness enhanced…

Machine Learning · Computer Science 2020-07-23 Yunlong Feng

In previous work, we presented a novel information-theoretic privacy criterion for query forgery in the domain of information retrieval. Our criterion measured privacy risk as a divergence between the user's and the population's query…

Information Theory · Computer Science 2015-03-19 David Rebollo-Monedero , Javier Parra-Arnau , Jordi Forné

Decentralized algorithms for stochastic optimization and learning rely on the diffusion of information as a result of repeated local exchanges of intermediate estimates. Such structures are particularly appealing in situations where agents…

Machine Learning · Computer Science 2020-10-26 Stefan Vlaski , Ali H. Sayed

We investigate the local differential privacy (LDP) guarantees of a randomized privacy mechanism via its contraction properties. We first show that LDP constraints can be equivalently cast in terms of the contraction coefficient of the…

Information Theory · Computer Science 2023-02-12 Shahab Asoodeh , Maryam Aliakbarpour , Flavio P. Calmon

Recently, the information-theoretical framework has been proven to be able to obtain non-vacuous generalization bounds for large models trained by Stochastic Gradient Langevin Dynamics (SGLD) with isotropic noise. In this paper, we optimize…

Machine Learning · Computer Science 2021-11-04 Bohan Wang , Huishuai Zhang , Jieyu Zhang , Qi Meng , Wei Chen , Tie-Yan Liu

We consider three different variants of differential privacy (DP), namely approximate DP, R\'enyi DP (RDP), and hypothesis test DP. In the first part, we develop a machinery for optimally relating approximate DP to RDP based on the joint…

Information Theory · Computer Science 2021-01-26 Shahab Asoodeh , Jiachun Liao , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar

The interplay between optimization and privacy has become a central theme in privacy-preserving machine learning. Noisy stochastic gradient descent (SGD) has emerged as a cornerstone algorithm, particularly in large-scale settings. These…

Machine Learning · Computer Science 2025-10-21 Shurong Lin , Eric D. Kolaczyk , Adam Smith , Elliot Paquette

Differentially Private Stochastic Gradient Descent (DPSGD) is widely used to protect sensitive data during the training of machine learning models, but its privacy guarantee often comes at a large cost of model performance due to the lack…

Machine Learning · Computer Science 2026-01-16 Hao Liang , Wanrong Zhang , Xinlei He , Kaishun Wu , Hong Xing

We refine a recently-proposed class of local entropic loss functions by restricting the smoothening regularization to only a subset of weights. The new loss functions are referred to as partial local entropies. They can adapt to the…

Machine Learning · Computer Science 2021-04-14 Daniele Musso

We consider the problem of learning Markov Random Fields (including the prototypical example, the Ising model) under the constraint of differential privacy. Our learning goals include both structure learning, where we try to estimate the…

Data Structures and Algorithms · Computer Science 2020-08-17 Huanyu Zhang , Gautam Kamath , Janardhan Kulkarni , Zhiwei Steven Wu

Stochastic Gradient Langevin Dynamics infuses isotropic gradient noise to SGD to help navigate pathological curvature in the loss landscape for deep networks. Isotropic nature of the noise leads to poor scaling, and adaptive methods based…

Machine Learning · Computer Science 2019-06-13 Chandrasekaran Anirudh Bhardwaj

In a survey disclosure model, we consider an additive noise privacy mechanism and study the trade-off between privacy guarantees and statistical utility. Privacy is approached from two different but complementary viewpoints: information and…

Information Theory · Computer Science 2018-01-12 Mario Diaz , Shahab Asoodeh , Fady Alajaji , Tamás Linder , Serban Belinschi , James Mingo

Federated Learning (FL) enables collaborative model training without direct data sharing, yet it remains vulnerable to privacy attacks such as model inversion and membership inference. Existing differential privacy (DP) solutions for FL…

Cryptography and Security · Computer Science 2026-01-06 Yunbo Li , Jiaping Gui , Fanchao Meng , Yue Wu

Noisy particle gradient descent (NPGD) is an algorithm to minimize convex functions over the space of measures that include an entropy term. In the many-particle limit, this algorithm is described by a Mean-Field Langevin dynamics - a…

Optimization and Control · Mathematics 2022-08-12 Lénaïc Chizat