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It is known that isomorphisms of graph Jacobians induce cyclic bijections on the associated graphs. We characterize when such cyclic bijections can be strengthened to graph isomorphisms, in terms of an easily computed divisor. The result…

Combinatorics · Mathematics 2023-07-25 Sarah Griffith

In this paper, the preliminary design of a space mission is approached introducing uncertainties on the design parameters and formulating the resulting reliable design problem as a multiobjective optimization problem. Uncertainties are…

Computational Engineering, Finance, and Science · Computer Science 2015-06-05 Massimiliano Vasile

An assignment problem arises when there exists a set of tasks that must be allocated to a set of agents. The bottleneck assignment problem (BAP) has the objective of minimising the most costly allocation of a task to an agent. Under certain…

Optimization and Control · Mathematics 2020-08-26 Mitchell Khoo , Tony A. Wood , Chris Manzie , Iman Shames

We consider the problem of job assignment where a master server aims to compute some tasks and is provided a few child servers to compute under a uniform straggling pattern where each server is equally likely to straggle. We distribute…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-22 Sahasrajit Sarmasarkar , Harish Pillai

In this article we propose a game-theoretic approach to the multi-robot task allocation problem using the framework of global games. Each task is associated with a global signal, a real-valued number that captures the task execution…

Robotics · Computer Science 2025-01-06 Logan Beaver

This paper provides a novel solution to a task allocation problem, by which a group of agents decides on the assignment of a discrete set of tasks in a distributed manner. In this setting, heterogeneous agents have individual preferences…

Optimization and Control · Mathematics 2023-11-02 Nirabhra Mandal , Mohammad Khajenejad , Sonia Martínez

We propose a multi-agent system that enables groups of agents to collaborate and work autonomously to execute tasks. Groups can work in a decentralized manner and can adapt to dynamic changes in the environment. Groups of agents solve…

Multiagent Systems · Computer Science 2024-05-21 Karishma , Shrisha Rao

Self-supervision provides effective representations for downstream tasks without requiring labels. However, existing approaches lag behind fully supervised training and are often not thought beneficial beyond obviating or reducing the need…

Machine Learning · Computer Science 2019-10-30 Dan Hendrycks , Mantas Mazeika , Saurav Kadavath , Dawn Song

The implicit assumption that human and autonomous agents have certain capabilities is omnipresent in modern teaming concepts. However, none formalize these capabilities in a flexible and quantifiable way. In this paper, we propose…

Robotics · Computer Science 2024-08-12 Nils Mandischer , Marcel Usai , Frank Flemisch , Lars Mikelsons

We present a general framework for matching with transferable utility (TU) that accommodates arbitrary heterogeneity without relying on the logit structure. The optimal assignment problem is characterized by tractable linear programming…

Econometrics · Economics 2025-12-01 Alfred Galichon , Antoine Jacquet , Georgy Salakhutdinov

Pre-trained neural networks are commonly used and reused in the machine learning community. Alice trains a model for a particular task, and a part of her neural network is reused by Bob for a different task, often to great effect. To what…

Machine Learning · Computer Science 2025-11-13 Jama Hussein Mohamud , Willie Brink

Complex multi-robot missions often require heterogeneous teams to jointly optimize task allocation, scheduling, and path planning to improve team performance under strict constraints. We formalize these complexities into a new class of…

Robotics · Computer Science 2026-01-07 Jiazhen Liu , Glen Neville , Jinwoo Park , Sonia Chernova , Harish Ravichandar

We propose a new formulation for the multi-robot task allocation problem that incorporates (a) complex precedence relationships between tasks, (b) efficient intra-task coordination, and (c) cooperation through the formation of robot…

Robotics · Computer Science 2025-09-19 Walker Gosrich , Saurav Agarwal , Kashish Garg , Siddharth Mayya , Matthew Malencia , Mark Yim , Vijay Kumar

We present an approach for maximizing a global utility function by learning how to allocate resources in an unsupervised way. We expect interactions between allocation targets to be important and therefore propose to learn the reward…

Machine Learning · Computer Science 2021-06-21 Miles Cranmer , Peter Melchior , Brian Nord

Graph-based semi-supervised learning is the problem of propagating labels from a small number of labelled data points to a larger set of unlabelled data. This paper is concerned with the consistency of optimization-based techniques for such…

Machine Learning · Statistics 2020-03-11 Franca Hoffmann , Bamdad Hosseini , Zhi Ren , Andrew M. Stuart

A tropical matrix is a matrix defined over the max-plus semiring. For such matrices, there exist several non-coinciding notions of rank: the row rank, the column rank, the Schein/Barvinok rank, the Kapranov rank, or the tropical rank, among…

Rings and Algebras · Mathematics 2013-05-21 Pierre Guillon , Zur Izhakian , Jean Mairesse , Glenn Merlet

This paper deals with the unsupervised domain adaptation problem, where one wants to estimate a prediction function $f$ in a given target domain without any labeled sample by exploiting the knowledge available from a source domain where…

Machine Learning · Statistics 2017-10-24 Nicolas Courty , Rémi Flamary , Amaury Habrard , Alain Rakotomamonjy

We investigate a multi-agent decision-making problem where a large population of agents is responsible for carrying out a set of assigned tasks. The amount of jobs in each task varies over time governed by a dynamical system model. Each…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Shinkyu Park , Julian Barreiro-Gomez

We introduce a novel distributed sampled-data control method tailored for heterogeneous multi-agent systems under a global spatio-temporal task with acyclic dependencies. Specifically, we consider the global task as a conjunction of…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Gregorio Marchesini , Siyuan Liu , Lars Lindemann , Dimos V. Dimarogonas

This paper considers linear quadratic team decision problems where the players in the team affect each other's information structure through their decisions. Whereas the stochastic version of the problem is well known to be complex with…

Optimization and Control · Mathematics 2013-02-05 Ather Gattami
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