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Although the theoretical properties in the $p_0$ model based on a differentially private bi-degree sequence have been derived, it is still lack of a unified theory for a general class of directed network models with the $p_{0}$ model as a…

Statistics Theory · Mathematics 2024-04-22 Lu Pan , Jianwei Hu , Peiyan Li

The $p_0$ model is an exponential random graph model for directed networks with the bi-degree sequence as the exclusively sufficient statistic. It captures the network feature of degree heterogeneity. The consistency and asymptotic…

Statistics Theory · Mathematics 2020-03-26 Qiuping Wang , Xiao Zhang , Jing Luo , Yang Ouyang , Qian Wang

We explore the edge-flipping mechanism, a type of input perturbation, to release the directed graph under edge-local differential privacy. By using the noisy bi-degree sequence from the output graph, we construct the moment equations to…

Statistics Theory · Mathematics 2025-12-29 Xueying Sun , Ting Yan , Binyan Jiang

For the differential privacy under the sub-Gamma noise, we derive the asymptotic properties of a class of network models with binary values with a general link function. In this paper, we release the degree sequences of the binary networks…

Statistics Theory · Mathematics 2023-11-14 Jing Luo , Haoyu Wei , Xiaoyu Lei , Jiaxin Guo

The real network has two characteristics: heterogeneity and homogeneity. A directed network model with covariates is proposed to analyze these two features, and the asymptotic theory of parameter Maximum likelihood estimators(MLEs) is…

Statistics Theory · Mathematics 2023-12-11 Jing Luo , Zhimeng Xu

We investigate the problem of learning discrete, undirected graphical models in a differentially private way. We show that the approach of releasing noisy sufficient statistics using the Laplace mechanism achieves a good trade-off between…

Machine Learning · Computer Science 2017-06-16 Garrett Bernstein , Ryan McKenna , Tao Sun , Daniel Sheldon , Michael Hay , Gerome Miklau

We study distributed estimation and learning problems in a networked environment where agents exchange information to estimate unknown statistical properties of random variables from their privately observed samples. The agents can…

Machine Learning · Computer Science 2024-04-02 Marios Papachristou , M. Amin Rahimian

The $\beta$-model of random graphs is an exponential family model with the degree sequence as a sufficient statistic. In this paper, we contribute three key results. First, we characterize conditions that lead to a quadratic time algorithm…

Methodology · Statistics 2016-01-13 Vishesh Karwa , Aleksandra Slavković

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

Although asymptotic analyses of undirected network models based on degree sequences have started to appear in recent literature, it remains an open problem to study statistical properties of directed network models. In this paper, we…

Statistics Theory · Mathematics 2016-01-13 Ting Yan , Chenlei Leng , Ji Zhu

How to achieve the tradeoff between privacy and utility is one of fundamental problems in private data analysis.In this paper, we give a rigourous differential privacy analysis of networks in the appearance of covariates via a generalized…

Methodology · Statistics 2023-11-20 Ting Yan

In an MPC-protected distributed computation, although the use of MPC assures data privacy during computation, sensitive information may still be inferred by curious MPC participants from the computation output. This can be observed, for…

Cryptography and Security · Computer Science 2025-03-11 Ivan Tjuawinata , Jiabo Wang , Mengmeng Yang , Shanxiang Lyu , Huaxiong Wang , Kwok-Yan Lam

Differential privacy is the state-of-the-art formal definition for data release under strong privacy guarantees. A variety of mechanisms have been proposed in the literature for releasing the output of numeric queries (e.g., the Laplace…

Cryptography and Security · Computer Science 2022-04-15 Victor A. E. Farias , Felipe T. Brito , Cheryl Flynn , Javam C. Machado , Subhabrata Majumdar , Divesh Srivastava

Differential privacy is a well-established framework for safeguarding sensitive information in data. While extensively applied across various domains, its application to network data -- particularly at the node level -- remains…

Machine Learning · Statistics 2026-01-06 Suqing Liu , Xuan Bi , Tianxi Li

Researchers increasingly use data on social and economic networks to study a range of social science questions, but releasing statistics derived from networks can raise significant privacy concerns. We show how to release network…

Applications · Statistics 2026-03-17 Tom A. Rutter , Yuxin Liu , M. Amin Rahimian

Popular approaches to differential privacy, such as the Laplace and exponential mechanisms, calibrate randomised smoothing through global sensitivity of the target non-private function. Bounding such sensitivity is often a prohibitively…

Machine Learning · Computer Science 2017-06-12 Benjamin I. P. Rubinstein , Francesco Aldà

Motivated by understanding the dynamics of sensitive social networks over time, we consider the problem of continual release of statistics in a network that arrives online, while preserving privacy of its participants. For our privacy…

Cryptography and Security · Computer Science 2018-09-20 Shuang Song , Susan Little , Sanjay Mehta , Staal Vinterbo , Kamalika Chaudhuri

Graph diffusion, which iteratively propagates real-valued substances among the graph, is used in numerous graph/network-involved applications. However, releasing diffusion vectors may reveal sensitive linking information in the data such as…

Information Retrieval · Computer Science 2025-02-19 Rongzhe Wei , Eli Chien , Pan Li

Deep learning models are known to put the privacy of their training data at risk, which poses challenges for their safe and ethical release to the public. Differentially private stochastic gradient descent is the de facto standard for…

Machine Learning · Computer Science 2023-01-03 Morgane Ayle , Jan Schuchardt , Lukas Gosch , Daniel Zügner , Stephan Günnemann

Koufogiannis et al. (2016) showed a $\textit{gradual release}$ result for Laplace noise-based differentially private mechanisms: given an $\varepsilon$-DP release, a new release with privacy parameter $\varepsilon' > \varepsilon$ can be…

Cryptography and Security · Computer Science 2025-05-29 Joel Daniel Andersson , Lukas Retschmeier , Boel Nelson , Rasmus Pagh
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