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We present a variational framework in which Centroidal Voronoi Tessellations (CVTs) arise as local minimizers of a generalized electrostatic energy functional. By modeling interior point distributions in a convex domain as repelling charges…

Numerical Analysis · Mathematics 2025-04-04 Zachary Mullaghy

In this paper, we investigate the optimization of Centroidal Voronoi Tessellations (CVT) under geometric constraints. For this purpose, we minimize a linear combination of the standard CVT energy functional with terms involving geometric…

Optimization and Control · Mathematics 2025-08-26 Ernesto G. Birgin , Juan S. C. Franco , Antoine Laurain

CVT (Centroidal Voronoi Tessellation)-based remeshing optimizes mesh quality by leveraging the Voronoi-Delaunay framework to optimize vertex distribution and produce uniformly distributed vertices with regular triangles. Current CVT-based…

Graphics · Computer Science 2025-11-27 Yue Fei , Jingjing Liu , Yuyou Yao , Yusheng Peng , Liping Zheng

In this paper, a novel proximity and load-aware resource allocation for vehicle-to-vehicle (V2V) communication is proposed. The proposed approach exploits the spatio-temporal traffic patterns, in terms of load and vehicles' physical…

Networking and Internet Architecture · Computer Science 2016-09-14 Muhammad Ikram Ashraf , Mehdi Bennis , Cristina Perfecto , Walid Saad

Currently, grid and glass methods are the two most popular choices to generate uniform particle distributions (i.e., pre-initial conditions) for cosmological $N$-body simulations. In this article, we introduce an alternative method called…

Astrophysics of Galaxies · Physics 2018-09-28 Shihong Liao

This paper proposes two nonlinear dynamics to solve constrained distributed optimization problem for resource allocation over a multi-agent network. In this setup, coupling constraint refers to resource-demand balance which is preserved at…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Mohammadreza Doostmohammadian , Alireza Aghasi , Maria Vrakopoulou , Hamid R. Rabiee , Usman A. Khan , Themistoklis Charalambou

This paper addresses the challenge of allocating heterogeneous resources among multiple agents in a decentralized manner. Our proposed method, Liquid-Graph-Time Clustering-IPPO, builds upon Independent Proximal Policy Optimization (IPPO) by…

Machine Learning · Statistics 2026-02-12 Antonio Marino , Esteban Restrepo , Claudio Pacchierotti , Paolo Robuffo Giordano

In this paper, we develop a decentralized resource allocation mechanism for vehicle-to-vehicle (V2V) communications based on deep reinforcement learning, which can be applied to both unicast and broadcast scenarios. According to the…

Information Theory · Computer Science 2018-05-21 Hao Ye , Geoffrey Ye Li , Biing-Hwang Fred Juang

This paper proposes a decentralized approach for solving the problem of moving a swarm of agents into a desired formation. We propose a decentralized assignment algorithm which prescribes goals to each agent using only local information.…

Optimization and Control · Mathematics 2020-05-06 Logan Beaver , Andreas Malikopoulos

This paper proposes networked dynamics to solve resource allocation problems over time-varying multi-agent networks. The state of each agent represents the amount of used resources (or produced utilities) while the total amount of resources…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Mohammadreza Doostmohammadian , Alireza Aghasi , Mohammad Pirani , Ehsan Nekouei , Usman A. Khan , Themistoklis Charalambous

Virtual Network Embedding (VNE) approaches typically assume static or slowly-changing network topologies, but emerging applications require deployment in mobile environments where traditional methods become insufficient. This work extends…

Networking and Internet Architecture · Computer Science 2025-12-15 Antoine Bernard , Antoine Legrain , Maroua Ben Attia , Abdo Shabah

Optimized spatial partitioning algorithms are the corner stone of many successful experimental designs and statistical methods. Of these algorithms, the Centroidal Voronoi Tessellation (CVT) is the most widely utilized. CVT based methods…

Methodology · Statistics 2017-01-20 Casey Kneale , Dominic Poerio , Karl S. Booksh

The distributed non-smooth resource allocation problem over multi-agent networks is studied in this paper, where each agent is subject to globally coupled network resource constraints and local feasibility constraints described in terms of…

Optimization and Control · Mathematics 2022-03-11 Xiaohong Nian , Fan Li , Dongxin Liu

Finding optimal (or low energy) centroidal Voronoi tessellations (CVTs) on a 2D domain is a challenging problem. One must navigate an energy landscape whose desirable critical points have sufficiently small basins of attractions that they…

Numerical Analysis · Mathematics 2020-10-23 Ivan Gonzalez , Rustum Choksi , Jean-Christophe Nave

Volumetric shape representations have become ubiquitous in multi-view reconstruction tasks. They often build on regular voxel grids as discrete representations of 3D shape functions, such as SDF or radiance fields, either as the full shape…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Diego Thomas , Briac Toussaint , Jean-Sebastien Franco , Edmond Boyer

In this paper, we develop a class of decentralized algorithms for solving a convex resource allocation problem in a network of $n$ agents, where the agent objectives are decoupled while the resource constraints are coupled. The agents…

Optimization and Control · Mathematics 2018-12-18 Angelia Nedić , Alex Olshevsky , Wei Shi

We present a decentralized collision avoidance method for dense environments that is based on buffered Voronoi cells (BVC) and reciprocal velocity obstacles (RVO). Our approach is designed for scenarios with large number of close proximity…

Robotics · Computer Science 2021-03-01 Senthil Hariharan Arul , Dinesh Manocha

In this article, we develop a decentralized resource allocation mechanism for vehicle-to-vehicle (V2V) communication systems based on deep reinforcement learning. Each V2V link is considered as an agent, making its own decisions to find…

Information Theory · Computer Science 2017-11-07 Hao Ye , Geoffrey Ye Li

Efficient allocation of finite resources is a crucial problem in a wide variety of on-demand smart city applications. Service requests often appear randomly over time and space with varying intensity. Resource provisioning decisions need to…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Muhammad Junaid Farooq , Quanyan Zhu

A general nonlinear $1$st-order consensus-based solution for distributed constrained convex optimization is proposed with network resource allocation applications. The solution is used to optimize continuously-differentiable strictly convex…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Mohammadreza Doostmohammadian , Alireza Aghasi , Maria Vrakopoulou , Themistoklis Charalambous
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