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We consider a class of discrete optimization problems that aim to maximize a submodular objective function subject to a distributed partition matroid constraint. More precisely, we consider a networked scenario in which multiple agents…

Optimization and Control · Mathematics 2020-11-19 Alexander Robey , Arman Adibi , Brent Schlotfeldt , George J. Pappas , Hamed Hassani

Greedy algorithms are widely used for problems in machine learning such as feature selection and set function optimization. Unfortunately, for large datasets, the running time of even greedy algorithms can be quite high. This is because for…

Machine Learning · Statistics 2017-03-09 Rajiv Khanna , Ethan Elenberg , Alexandros G. Dimakis , Sahand Negahban , Joydeep Ghosh

Many packing, scheduling and covering problems that were previously considered by computer science literature in the context of various transportation and production problems, appear also suitable for describing and modeling various…

Computer Science and Game Theory · Computer Science 2015-03-19 Elena Kleiman

We consider a communication network with fixed number of links, shared by large number of users. The resource allocation is performed on the basis of an aggregate utility maximization in accordance with the popular approach, proposed by…

Optimization and Control · Mathematics 2019-05-14 Dmitry B. Rokhlin

In this paper, we investigate the coordination of autonomous devices with non-aligned utility functions. Both encoder and decoder are considered as players, that choose the encoding and the decoding in order to maximize their long-run…

Information Theory · Computer Science 2017-11-15 Maël Le Treust , Tristan Tomala

We study the combinatorial contract design problem, introduced and studied by Dutting et. al. (2021, 2022), in both the single and multi-agent settings. Prior work has examined the problem when the principal's utility function is submodular…

Computer Science and Game Theory · Computer Science 2023-08-16 Ramiro Deo-Campo Vuong , Shaddin Dughmi , Neel Patel , Aditya Prasad

Combinatorial Auctions are a central problem in Algorithmic Mechanism Design: pricing and allocating goods to buyers with complex preferences in order to maximize some desired objective (e.g., social welfare, revenue, or profit). The…

Computer Science and Game Theory · Computer Science 2015-03-19 Avrim Blum , Anupam Gupta , Yishay Mansour , Ankit Sharma

Overcoming the impact of selfish behavior of rational players in multiagent systems is a fundamental problem in game theory. Without any intervention from a central agent, strategic users take actions in order to maximize their personal…

Computer Science and Game Theory · Computer Science 2024-09-06 Maria-Florina Balcan , Matteo Pozzi , Dravyansh Sharma

A distributed nonsmooth robust resource allocation problem with cardinality constrained uncertainty is investigated in this paper. The global objective is consisted of local objectives, which are convex but nonsmooth. Each agent is…

Optimization and Control · Mathematics 2019-11-05 Yue Wei , Shuxin Ding , Hao Fang , Xianlin Zeng , Qingkai Yang , Bin Xin

A distributed, hierarchical, market based approach is introduced to solve the economic dispatch problem. The approach requires only a minimal amount of information to be shared between a central market operator and the end-users. Price…

Multiagent Systems · Computer Science 2020-09-07 Cornelis Jan van Leeuwen , Joost Stam , Arun Subramanian , Koen Kok

In this work we introduce a new notion: local mechanisms. These are truthful mechanisms that have an implementation as fast distributed algorithms and non-trivial approximation guarantees. We show how monotone distributed optimisation…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-12 Juho Hirvonen , Sara Ranjbaran

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

This paper focuses on the cross-layer issue of resource allocation for energy efficiency in the uplink of a multiuser MIMO wireless communication system. Assuming that all of the transmitters and the uplink receiver are equipped with…

Information Theory · Computer Science 2008-07-22 Stefano Buzzi , H. Vincent Poor , Daniela Saturnino

The growing popularity of bike-sharing systems around the world has motivated recent attention to models and algorithms for their effective operation. Most of this literature focuses on their daily operation for managing asymmetric demand.…

Optimization and Control · Mathematics 2022-03-15 Daniel Freund , Shane G. Henderson , David B. Shmoys

Resource allocation for cloud services is a complex task due to the diversity of the services and the dynamic workloads. One way to address this is by overprovisioning which results in high cost due to the unutilized resources. A much more…

Data Structures and Algorithms · Computer Science 2015-03-10 Galia Shabtai , Danny Raz , Yuval Shavitt

Supply chain network is critical to serving customers, so the most common practices are to determine the number, location, and capacity of facilities. But at the same time, uncertainties and risks must be taken into account in order to…

Physics and Society · Physics 2022-01-19 Khadija Ait Mamoun , Lamia Hammadi , Abdessamad El Ballouti , Eduardo Souza De Cursi

We propose and analyze batch greedy heuristics for cardinality constrained maximization of non-submodular non-decreasing set functions. We consider the standard greedy paradigm, along with its distributed greedy and stochastic greedy…

Optimization and Control · Mathematics 2021-08-12 Jayanth Jagalur-Mohan , Youssef Marzouk

Suppose some objects are hidden in a finite set $S$ of hiding places which must be examined one-by-one. The cost of searching subsets of $S$ is given by a submodular function and the probability that all objects are contained in a subset is…

Optimization and Control · Mathematics 2018-06-12 Robbert Fokkink , Thomas Lidbetter , László A. Végh

A new class of multi agent single machine scheduling problems is introduced, where each job is associated with a self interested agent with a utility function decreasing in completion time. We aim to achieve a fair solution by maximizing…

Computer Science and Game Theory · Computer Science 2026-04-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy

We study assignment games in which jobs select machines, and in which certain pairs of jobs may conflict, which is to say they may incur an additional cost when they are both assigned to the same machine, beyond that associated with the…

Computer Science and Game Theory · Computer Science 2014-02-11 Elliot Anshelevich , John Postl , Tom Wexler
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