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There are two prevalent model-based paradigms for combinatorial problems: 1) state-based representations, such as heuristic search, dynamic programming (DP), and decision diagrams, and 2) constraint and domain-based representations, such as…

Artificial Intelligence · Computer Science 2026-04-29 Imko Marijnissen , J. Christopher Beck , Emir Demirović , Ryo Kuroiwa

Finding efficient, easily implementable differentially private (DP) algorithms that offer strong excess risk bounds is an important problem in modern machine learning. To date, most work has focused on private empirical risk minimization…

Machine Learning · Computer Science 2024-09-23 Andrew Lowy , Meisam Razaviyayn

The Discrete Ordered Median Problem (DOMP) is formulated as a set partitioning problem using an exponential number of variables. Each variable corresponds to a set of demand points allocated to the same facility with the information of the…

Optimization and Control · Mathematics 2018-02-12 Samuel Deleplanque , Martine Labbé , Diego Ponce , Justo Puerto

In modern distributed computing applications, such as federated learning and AIoT systems, protecting privacy is crucial to prevent adversarial parties from colluding to steal others' private information. However, guaranteeing the utility…

Cryptography and Security · Computer Science 2023-06-01 Jiandong Liu , Lan Zhang , Chaojie Lv , Ting Yu , Nikolaos M. Freris , Xiang-Yang Li

Distributed algorithms enable private Optimal Power Flow (OPF) computations by avoiding the need in sharing sensitive information localized in algorithms sub-problems. However, adversaries can still infer this information from the…

Optimization and Control · Mathematics 2020-03-23 Vladimir Dvorkin , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

We provide the first study of the problem of finding differentially private (DP) second-order stationary points (SOSP) in stochastic (non-convex) minimax optimization. Existing literature either focuses only on first-order stationary points…

Machine Learning · Computer Science 2026-02-03 Difei Xu , Youming Tao , Meng Ding , Chenglin Fan , Di Wang

Distributed Constraint Optimization Problems (DCOPs) are an important framework for modeling coordinated decision-making problems in multi-agent systems with a set of discrete variables. Later works have extended DCOPs to model problems…

Multiagent Systems · Computer Science 2020-09-03 Saaduddin Mahmud , Md. Mosaddek Khan , Moumita Choudhury , Long Tran-Thanh , Nicholas R. Jennings

The privacy-utility tradeoff problem is formulated as determining the privacy mechanism (random mapping) that minimizes the mutual information (a metric for privacy leakage) between the private features of the original dataset and a…

Information Theory · Computer Science 2026-05-12 Kousha Kalantari , Oliver Kosut , Lalitha Sankar

This paper addresses the problem of differentially private distributed optimization under limited communication, where each agent aims to keep their cost function private while minimizing the sum of all agents' cost functions. In response,…

Optimization and Control · Mathematics 2023-04-05 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

Distributed abstract programs are a novel class of distributed optimization problems where (i) the number of variables is much smaller than the number of constraints and (ii) each constraint is associated to a network node. Abstract…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-02 Giuseppe Notarstefano , Francesco Bullo

Many applications of machine learning, such as human health research, involve processing private or sensitive information. Privacy concerns may impose significant hurdles to collaboration in scenarios where there are multiple sites holding…

Machine Learning · Computer Science 2021-02-24 Hafiz Imtiaz , Jafar Mohammadi , Anand D. Sarwate

Privacy risks in differentially private (DP) systems increase significantly when data is correlated, as standard DP metrics often underestimate the resulting privacy leakage, leaving sensitive information vulnerable. Given the ubiquity of…

Cryptography and Security · Computer Science 2025-07-16 Martin Lange , Patricia Guerra-Balboa , Javier Parra-Arnau , Thorsten Strufe

The rapidly growing penetration of renewable energy resources brings unprecedented challenges to power distribution networks - management of a large population of grid-tied controllable devices encounters control scalability crises and…

Optimization and Control · Mathematics 2023-01-06 Xiang Huo , Mingxi Liu

Conditional disclosure of secrets (CDS) allows multiple parties to reveal a secret to a third party if and only if some pre-decided condition is satisfied. In this work, we bolster the privacy guarantees of CDS by introducing…

Cryptography and Security · Computer Science 2021-10-11 Nolan Miranda , Foo Yee Yeo , Vipin Singh Sehrawat

We study a problem of privacy-preserving mechanism design. A data collector wants to obtain data from individuals to perform some computations. To relieve the privacy threat to the contributors, the data collector adopts a…

Computer Science and Game Theory · Computer Science 2019-11-12 Guocheng Liao , Xu Chen , Jianwei Huang

In this work, we consider solving a distributed optimization problem in a multi-agent network with multiple clusters. In each cluster, the involved agents cooperatively optimize a separable composite function with a common decision…

Optimization and Control · Mathematics 2022-03-03 Jianzheng Wang , Guoqiang Hu

Differential privacy (DP) is a mathematical privacy notion increasingly deployed across government and industry. With DP, privacy protections are probabilistic: they are bounded by the privacy budget parameter, $\epsilon$. Prior work in…

Cryptography and Security · Computer Science 2023-03-02 Priyanka Nanayakkara , Mary Anne Smart , Rachel Cummings , Gabriel Kaptchuk , Elissa Redmiles

This paper considers the economic dispatch problem for a network of power generators and customers. In particular, our aim is to minimize the total generation cost under the power supply-demand balance and the individual generation capacity…

Systems and Control · Computer Science 2021-01-11 Hyeonjun Yun , Hyungbo Shim , Hyo-Sung Ahn

In this paper, we address a class of distributed optimization problems in the presence of inter-agent communication delays based on passivity. We first focus on unconstrained distributed optimization and provide a passivity-based…

Systems and Control · Computer Science 2016-09-16 Takeshi Hatanaka , Nikhil Chopra , Takayuki Ishizaki , Na Li

Privacy is crucial in many applications of machine learning. Legal, ethical and societal issues restrict the sharing of sensitive data making it difficult to learn from datasets that are partitioned between many parties. One important…

Machine Learning · Statistics 2018-09-21 Christina Heinze-Deml , Brian McWilliams , Nicolai Meinshausen
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