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Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

Adaptation and Self-Organizing Systems · Physics 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

One major open problem in network coding is to characterize the capacity region of a general multi-source multi-demand network. There are some existing computational tools for bounding the capacity of general networks, but their…

Information Theory · Computer Science 2015-03-17 Michelle Effros , Tracey Ho , Shirin Jalali

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealth of innovative applications, calling for the combined…

Analysis of PDEs · Mathematics 2023-07-10 Stefano Almi , Ulisse Stefanelli

This paper presents a density-based topology optimization method for designing 3D thin-walled structures with adaptive meshing. Uniform wall thickness is achieved by simultaneously constraining the minimum and maximum feature sizes using…

Computational Engineering, Finance, and Science · Computer Science 2019-08-29 Yuqing Zhou , Tsuyoshi Nomura , Ercan M. Dede , Kazuhiro Saitou

In a sensor network, in practice, the communication among sensors is subject to:(1) errors or failures at random times; (3) costs; and(2) constraints since sensors and networks operate under scarce resources, such as power, data rate, or…

Information Theory · Computer Science 2009-11-13 Soummya Kar , Jose M. F. Moura

Although stress-constrained topology optimization has been extensively studied in structural design, the development of optimization frameworks to enable the creation of metamaterials with optimal mechanical performance is still an open…

Computational Engineering, Finance, and Science · Computer Science 2026-02-24 Yanda Chen , Sebastian Rodriguez , Beatriz Moya , Francisco Chinesta

In this paper, we study the problem of constructing a network by observing ordered connectivity constraints, which we define herein. These ordered constraints are made to capture realistic properties of real-world problems that are not…

Data Structures and Algorithms · Computer Science 2017-02-24 Yi Huang , Mano Vikash Janardhanan , Lev Reyzin

We study an optimal control problem aimed at achieving a desired tradeoff between the network coherence and communication requirements in the distributed controller. Our objective is to add a certain number of edges to an undirected…

Optimization and Control · Mathematics 2018-11-26 Sepideh Hassan-Moghaddam , Mihailo R. Jovanović

Datacenter network design plays a critical role in AI training by supporting scaling to thousands of accelerators. An open problem, designing a near-optimal throughput oriented network-topology, routing, and collectives-has not been…

Networking and Internet Architecture · Computer Science 2026-05-28 Conor James Green , Mithuna Thottethodi

This paper presents a topology optimization framework for structural problems subjected to transient loading. The mechanical model assumes a linear elastic isotropic material, infinitesimal strains, and a dynamic response. The optimization…

Classical Physics · Physics 2017-05-05 Reza Behrou , James K. Guest

This paper presents a topology optimization approach to design 2D contact-aided compliant mechanisms (CCMs) that can trace the desired output paths with more than one kink while experiencing self and/or external contacts. Such CCMs can be…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Prabhat Kumar , Roger A Sauer , Anupam Saxena

Compositionally Graded Alloys (CGAs) offer unprecedented design flexibility by enabling spatial variations in composition; tailoring material properties to local loading conditions. This flexibility leads to components that are stronger,…

Computational Engineering, Finance, and Science · Computer Science 2025-08-15 Aaditya Chandrasekhar , Stefan Knapik , Deepak Sharma , John Reidy , Ian McCue , Jian Cao , Wei Chen

We present an analysis of the topologies of a class of networks which are optimal in terms of the requirements of having as short a route as possible between any two nodes while yet keeping the congestion in the network as low as possible.…

Statistical Mechanics · Physics 2009-11-10 Vittoria Colizza , Jayanth R. Banavar , Amos Maritan , Andrea Rinaldo

Overlay network topology together with peer/data organization and search algorithm are the crucial components of unstructured peer-to-peer (P2P) networks as they directly affect the efficiency of search on such networks. Scale-free…

Networking and Internet Architecture · Computer Science 2016-11-18 Eyuphan Bulut , Boleslaw K. Szymanski

This paper proposes a topology optimization method that considers the geometric constraint of no closed cavities to improve the effectiveness of additive manufacturing based on the fictitious physical model approach. First, the basic…

Software Engineering · Computer Science 2022-02-10 Takayuki Yamada , Yuki Noguchi

Manifold optimization is ubiquitous in computational and applied mathematics, statistics, engineering, machine learning, physics, chemistry and etc. One of the main challenges usually is the non-convexity of the manifold constraints. By…

Optimization and Control · Mathematics 2019-06-14 Jiang Hu , Xin Liu , Zaiwen Wen , Yaxiang Yuan

How to efficiently design a communication network is a paramount task for network designing and engineering. It is, however, not a single objective optimization process as perceived by most previous researches, i.e., to maximize its…

Networking and Internet Architecture · Computer Science 2015-05-14 Guoqiang Zhang

Near-field and radiation coupling between nearby radiating elements is unavoidable, and it is considered a limiting factor for applications in wireless communications and active sensing. This article proposes a density-based topology…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Pan Lu , Eddie Wadbro , Jonas Starck , Martin Berggren , Emadeldeen Hassan

The production of concrete generates roughly 8% of anthropogenic CO2 globally, largely because of the massive quantities that are manufactured. New design methods must be developed and deployed to improve the material efficiency of…

Computational Engineering, Finance, and Science · Computer Science 2026-04-27 Jackson L. Jewett , Josephine V. Carstensen