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We present an algorithm for a class of statistical inference problems. The main idea is to reformulate the inference problem as an optimization procedure, based on the generation of surrogate (auxiliary) functions. This approach is…

最优化与控制 · 数学 2018-05-22 Rodrigo Carvajal , Rafael Orellana , Dimitrios Katselis , Pedro Escárate , Juan. C. Agüero

In this paper, we first present a volumetric privacy measure for dynamical systems with bounded disturbances, wherein the states of the system contain private information and an adversary with access to sensor measurements attempts to infer…

系统与控制 · 电气工程与系统科学 2025-10-29 Chuanghong Weng , Ehsan Nekouei

This study develops a novel framework for privacy-preserving data analytics, addressing the critical challenge of balancing data utility with privacy concerns. We introduce three sophisticated algorithms: a Noise-Infusion Technique tailored…

密码学与安全 · 计算机科学 2024-04-26 Zahir Alsulaimawi

Handling incomplete and heterogeneous data remains a central challenge in real-world machine learning, where missing values may follow complex mechanisms (MCAR, MAR, MNAR) and features can be of mixed types (numerical and categorical).…

机器学习 · 计算机科学 2025-07-30 Youran Zhou , Mohamed Reda Bouadjenek , Jonathan Wells , Sunil Aryal

Iteratively reweighted least squares (IRLS) is a widely-used method in machine learning to estimate the parameters in the generalised linear models. In particular, IRLS for L1 minimisation under the linear model provides a closed-form…

密码学与安全 · 计算机科学 2016-05-25 Mijung Park , Max Welling

Existing large-scale optimization schemes are challenged by both scalability and cyber-security. With the favorable scalability, adaptability, and flexibility, decentralized and distributed optimization paradigms are widely adopted in…

最优化与控制 · 数学 2020-12-23 Xiang Huo , Mingxi Liu

Nowadays, organizations use viral marketing strategies to promote their products through social networks. It is expensive to directly send the product promotional information to all the users in the network. In this context, Kempe et al.…

社会与信息网络 · 计算机科学 2024-10-23 Rahul Kumar Gautam , Anjeneya Swami Kare , S. Durga Bhavani

The well-known Influence Maximization (IM) problem has been actively studied by researchers over the past decade, with emphasis on marketing and social networks. Existing research have obtained solutions to the IM problem by obtaining the…

机器学习 · 统计学 2018-11-06 Trisha Lawrence

We study the problem of leaky private information retrieval (L-PIR), where the amount of privacy leakage is measured by the pure differential privacy parameter, referred to as the leakage ratio exponent. Unlike the previous L-PIR scheme…

信息检索 · 计算机科学 2025-01-22 Wenyuan Zhao , Yu-Shin Huang , Chao Tian , Alex Sprintson

We study from the proof complexity perspective the (informal) proof search problem: Is there an optimal way to search for propositional proofs? We note that for any fixed proof system there exists a time-optimal proof search algorithm.…

计算复杂性 · 计算机科学 2022-07-12 Jan Krajicek

An information-theoretic privacy mechanism design is studied, where an agent observes useful data $Y$ which is correlated with the private data $X$. The agent wants to reveal the information to a user, hence, the agent utilizes a privacy…

信息论 · 计算机科学 2026-01-09 Amirreza Zamani , Parastoo Sadeghi , Mikael Skoglund

Differential privacy is the leading mathematical framework for privacy protection, providing a probabilistic guarantee that safeguards individuals' private information when publishing statistics from a dataset. This guarantee is achieved by…

统计方法学 · 统计学 2025-08-19 Yuki Ohnishi , Jordan Awan

We study the problem of differentially private (DP) secure multiplication in distributed computing systems, focusing on regimes where perfect privacy and perfect accuracy cannot be simultaneously achieved. Specifically, N nodes…

信息论 · 计算机科学 2026-03-12 Haoyang Hu , Viveck R. Cadambe

Consider the following problem: given a metric space, some of whose points are "clients", open a set of at most $k$ facilities to minimize the average distance from the clients to these facilities. This is just the well-studied $k$-median…

数据结构与算法 · 计算机科学 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar

Location-Based Services (LBSs) provide invaluable aid in the everyday activities of many individuals, however they also pose serious threats to the user' privacy. There is, therefore, a growing interest in the development of mechanisms to…

密码学与安全 · 计算机科学 2017-10-17 Konstantinos Chatzikokolakis , Serge Haddad , Ali Kassem , Catuscia Palamidessi

In this paper, we propose two exact distributed algorithms to solve mixed integer linear programming (MILP) problems with multiple agents where data privacy is important for the agents. A key challenge is that, because of the non-convex…

最优化与控制 · 数学 2022-05-03 Mohammad Javad Feizollahi

In array processing, a common problem is to estimate the angles of arrival of $K$ deterministic sources impinging on an array of $M$ antennas, from $N$ observations of the source signal, corrupted by gaussian noise. The problem reduces to…

概率论 · 数学 2011-06-28 Walid Hachem , Philippe Loubaton , Xavier Mestre , Jamal Najim , Pascal Vallet

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

系统与控制 · 电气工程与系统科学 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

Many modern statistical analysis and machine learning applications require training models on sensitive user data. Under a formal definition of privacy protection, differentially private algorithms inject calibrated noise into the…

机器学习 · 统计学 2025-04-01 Yifei Xiong , Nianqiao Phyllis Ju , Sanguo Zhang

This paper studies the design of an optimal privacyaware estimator of a public random variable based on noisy measurements which contain private information. The public random variable carries non-private information, however, its estimate…

最优化与控制 · 数学 2018-08-08 Ehsan Nekouei , Henrik Sandberg , Mikael Skoglund , Karl H. Johansson