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We consider distributed optimization by a collection of nodes, each having access to its own convex function, whose collective goal is to minimize the sum of the functions. The communications between nodes are described by a time-varying…

Optimization and Control · Mathematics 2014-03-18 Angelia Nedic , Alex Olshevsky

We study distributed algorithms that find a maximal matching in an anonymous, edge-coloured graph. If the edges are properly coloured with $k$ colours, there is a trivial greedy algorithm that finds a maximal matching in $k-1$ synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-24 Juho Hirvonen , Jukka Suomela

In this paper, we investigate the distributed convex optimization problem over a multi-agent system with Markovian switching communication networks. The objective function is the sum of each agent's local objective function, which cannot be…

Optimization and Control · Mathematics 2020-02-25 Peng Yi , Li Li

We connect high-dimensional subset selection and submodular maximization. Our results extend the work of Das and Kempe (2011) from the setting of linear regression to arbitrary objective functions. For greedy feature selection, this…

Machine Learning · Statistics 2017-10-13 Ethan R. Elenberg , Rajiv Khanna , Alexandros G. Dimakis , Sahand Negahban

Small cell enchantment is emerging as the key technique for wireless network evolution. One challenging problem for small cell enhancement is how to achieve high data rate with as-low-as-possible control and computation overheads. As a…

Networking and Internet Architecture · Computer Science 2014-02-12 Shuqin Li , Liyu Cai

We propose subsampling as a unified algorithmic technique for submodular maximization in centralized and online settings. The idea is simple: independently sample elements from the ground set, and use simple combinatorial techniques (such…

Data Structures and Algorithms · Computer Science 2021-04-08 Christopher Harshaw , Ehsan Kazemi , Moran Feldman , Amin Karbasi

In this paper, we propose a fully distributed algorithm for second-order continuous-time multi-agent systems to solve the distributed optimization problem. The global objective function is a sum of private cost functions associated with the…

Optimization and Control · Mathematics 2019-04-15 Xinlei Yi , Lisha Yao , Tao Yang , Jemin George , Karl H. Johansson

For many optimization problems in machine learning, finding an optimal solution is computationally intractable and we seek algorithms that perform well in practice. Since computational intractability often results from pathological…

Machine Learning · Computer Science 2021-02-25 Eric Balkanski , Sharon Qian , Yaron Singer

Active perception strategies enable an agent to selectively gather information in a way to improve its performance. In applications in which the agent does not have prior knowledge about the available information sources, it is crucial to…

Artificial Intelligence · Computer Science 2019-10-08 Mahsa Ghasemi , Ufuk Topcu

This paper examines the problem of adaptive influence maximization in social networks. As adaptive decision making is a time-critical task, a realistic feedback model has been considered, called myopic. In this direction, we propose the…

Social and Information Networks · Computer Science 2018-07-09 Guillaume Salha , Nikolaos Tziortziotis , Michalis Vazirgiannis

Submodular functions, as well as the sub-class of decomposable submodular functions, and their optimization appear in a wide range of applications in machine learning, recommendation systems, and welfare maximization. However, optimization…

Data Structures and Algorithms · Computer Science 2024-06-04 Akbar Rafiey

We study the problem of selecting a subset of k random variables from a large set, in order to obtain the best linear prediction of another variable of interest. This problem can be viewed in the context of both feature selection and sparse…

Machine Learning · Statistics 2011-02-28 Abhimanyu Das , David Kempe

I provide a novel approach to characterizing the set of interim realizable allocations, in the spirit of Matthews (1984) and Border (1991). The approach allows me to identify precisely why exact characterizations are difficult to obtain in…

Theoretical Economics · Economics 2022-10-11 Quitzé Valenzuela-Stookey

This paper explores the fundamental properties of distributed minimization of a sum of functions with each function only known to one node, and a pre-specified level of node knowledge and computational capacity. We define the optimization…

Systems and Control · Computer Science 2012-10-26 Guodong Shi , Alexandre Proutiere , Karl Henrik Johansson

We study the problem of minimizing the resource capacity of autonomous agents cooperating to achieve a shared task. More specifically, we consider high-level planning for a team of homogeneous agents that operate under resource constraints…

Multiagent Systems · Computer Science 2021-05-05 Murat Cubuktepe , František Blahoudek , Ufuk Topcu

In this paper, we consider distributed optimization design for resource allocation problems over weight-balanced graphs. With the help of singular perturbation analysis, we propose a simple sub-optimal continuous-time optimization…

Optimization and Control · Mathematics 2022-06-14 Shu Liang , Xianlin Zeng , Yiguang Hong

This paper studies the optimal resource allocation problem within a multi-agent network composed of both autonomous agents and humans. The main challenge lies in the globally coupled constraints that link the decisions of autonomous agents…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Yichen Yao , Ryan Mbagna Nanko , Yue Wang , Xuan Wang

Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou

Coordinating multiple autonomous agents in shared environments under decentralized conditions is a long-standing challenge in robotics and artificial intelligence. This work addresses the problem of decentralized goal assignment for…

Artificial Intelligence · Computer Science 2025-10-29 Murad Ismayilov , Edwin Meriaux , Shuo Wen , Gregory Dudek

Distributed optimization finds applications in large-scale machine learning, data processing and classification over multi-agent networks. In real-world scenarios, the communication network of agents may encounter latency that may affect…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Mohammadreza Doostmohammadian , Narahari Kasagatta Ramesh , Alireza Aghasi