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Quantum information processing relies on a variety of resources, including entanglement, coherence, non-Gaussianity, and magic. In realistic settings, protocols run on networks of parties with heterogeneous local resource constraints, so…

Quantum Physics · Physics 2026-02-23 Ray Ganardi , Jeongrak Son , Jakub Czartowski , Seok Hyung Lie , Nelly H. Y. Ng

Optimal transport has been used extensively in resource matching to promote the efficiency of resources usages by matching sources to targets. However, it requires a significant amount of computations and storage spaces for large-scale…

Optimization and Control · Mathematics 2019-04-10 Rui Zhang , Quanyan Zhu

We investigate how much quantum distributed algorithms can outperform classical distributed algorithms with respect to the message complexity (the overall amount of communication used by the algorithm). Recently, Dufoulon, Magniez and…

Quantum Physics · Physics 2025-10-03 François Le Gall , Maël Luce , Joseph Marchand , Mathieu Roget

Modern computationally-heavy applications are often time-sensitive, demanding distributed strategies to accelerate them. On the other hand, distributed computing suffers from the bottleneck of slow workers in practice. Distributed coded…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-03 Homa Esfahanizadeh , Alejandro Cohen , Muriel Médard , Shlomo Shamai

In several social choice problems, agents collectively make decisions over the allocation of multiple divisible and heterogeneous resources with capacity constraints to maximize utilitarian social welfare. The agents are constrained through…

Optimization and Control · Mathematics 2023-11-02 Syed Eqbal Alam , Fabian Wirth , Jia Yuan Yu , Robert Shorten

Many biological, geophysical and technological systems involve the transport of resource over a network. In this paper we present an algorithm for calculating the exact concentration of resource at any point in space or time, given that the…

Tissues and Organs · Quantitative Biology 2013-05-30 Luke L. M. Heaton , Eduardo Lopez , Philip K. Maini , Mark D. Fricker , Nick S. Jones

We identify influential early adopters that achieve a target behavior distribution for a resource constrained social network with multiple costly behaviors. This problem is important for applications ranging from collective behavior change…

Social and Information Networks · Computer Science 2013-03-26 Kaushik Sarkar , Hari Sundaram

We study the problem of distributed optimal resource allocation on networks with actions defined on discrete spaces, with applications to adaptive under-frequency load-shedding in power systems. In this context, the primary objective is to…

Optimization and Control · Mathematics 2024-12-25 Adel Aghajan , Miguel Jimenez-Aparicio , Michael E. Ropp , Jorge I. Poveda

This paper considers resource allocation to achieve max-min fairness in a selection-based orthogonal frequency division multiplexing network wherein source nodes are assisted by fixed decode-and-forward relays. The joint problem of…

Information Theory · Computer Science 2011-12-14 Kianoush Hosseini , Raviraj S. Adve

The Cluster-cluster model was introduced by Meakin et al in 1984. Each $x\in \mathbb{Z}^d$ starts with a cluster of size 1 with probability $p \in (0,1]$ independently. Each cluster $C$ performs a continuous-time SRW with rate…

Probability · Mathematics 2025-07-08 Noam Berger , Eviatar B. Procaccia , Daniel Sharon

The difficulty in manipulating quantum resources deterministically often necessitates the use of probabilistic protocols, but the characterization of their capabilities and limitations has been lacking. We develop a general approach to this…

Quantum Physics · Physics 2022-03-22 Bartosz Regula

This paper proposes an accelerated consensus-based distributed iterative algorithm for resource allocation and scheduling. The proposed gradient-tracking algorithm introduces an auxiliary variable to add momentum towards the optimal state.…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

In many "smart city" applications, congestion arises in part due to the nature of signals received by individuals from a central authority. In the model of Marecek et al. [arXiv:1406.7639, Int. J. Control 88(10), 2015], each agent uses one…

Optimization and Control · Mathematics 2018-02-20 Jakub Marecek , Robert Shorten , Jia Yuan Yu

We present algorithms to effectively represent a set of Markov decision processes (MDPs), whose optimal policies have already been learned, by a smaller source subset for lifelong, policy-reuse-based transfer learning in reinforcement…

Artificial Intelligence · Computer Science 2016-05-03 M. M. Hassan Mahmud , Majd Hawasly , Benjamin Rosman , Subramanian Ramamoorthy

Motivated by examples from extreme value theory we introduce the general notion of a cluster process as a limiting point process of returns of a certain event in a time series. We explore general invariance properties of cluster processes…

Probability · Mathematics 2023-11-03 Anja Janßen , Johan Segers

We consider the problem of forwarding packets arriving online with their destinations in a line network. In each time step, each router can forward one packet along the edge to its right. Each packet that is forwarded arrives at the next…

Data Structures and Algorithms · Computer Science 2026-03-09 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen , Kevin Schewior , Rob van Stee

Recent studies of cluster distribution in various ecosystems revealed Pareto statistics for the size of spatial colonies. These results were supported by cellular automata simulations that yield robust criticality for endogenous pattern…

Populations and Evolution · Quantitative Biology 2008-10-07 Alon Manor , Nadav M. Shnerb

Load balancing is a well-studied problem, with balls-in-bins being the primary framework. The greedy algorithm $\mathsf{Greedy}[d]$ of Azar et al. places each ball by probing $d > 1$ random bins and placing the ball in the least loaded of…

Data Structures and Algorithms · Computer Science 2018-01-24 John Augustine , William K. Moses , Amanda Redlich , Eli Upfal

We study a sequential resource allocation problem involving a fixed number of recurring jobs. At each time-step the manager should distribute available resources among the jobs in order to maximise the expected number of completed jobs.…

Machine Learning · Computer Science 2014-06-17 Tor Lattimore , Koby Crammer , Csaba Szepesvári

The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has $x$ requests to transmit, then it receives a fraction of the capacity proportional to $\log(1+x)$,…

Probability · Mathematics 2015-09-10 Philippe Robert , Amandine Véber