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Recently, In [Phys. Rev. Lett. 104, 018701 (2010)] the authors studied a spatial network which is constructed from a regular lattice by adding long-range edges (shortcuts) with probability $P_{ij}\sim r_{ij}^{-\alpha}$, where $r_{ij}$ is…

物理与社会 · 物理学 2015-06-03 Weiping Liu , An Zeng , Yanbo Zhou

To comprehend the hierarchical organization of large integrated systems, we introduce the hierarchical map equation, which reveals multilevel structures in networks. In this information-theoretic approach, we exploit the duality between…

物理与社会 · 物理学 2011-04-12 M. Rosvall , C. T. Bergstrom

In this work, we propose a novel machine learning approach to compute the optimal transport map between two continuous distributions from their unpaired samples, based on the DeepParticle methods. The proposed method leads to a min-min…

机器学习 · 统计学 2025-07-01 Yingyuan Li , Aokun Wang , Zhongjian Wang

We propose an all-optical networking solution for a wide area network (WAN) based on the notion of multipoint-to-multipoint lightpaths that, for short, we call "multipaths". A multipath concentrates the traffic of a group of source nodes on…

网络与互联网体系结构 · 计算机科学 2011-10-07 Davide Cuda , Raluca-Maria Indre , Esther Le Rouzic , James Roberts

Packet networks need to maintain state in the form of forwarding tables at each switch. The cost of this state increases as networks support ever more sophisticated per-flow routing, traffic engineering, and service chaining. Per-flow or…

网络与互联网体系结构 · 计算机科学 2017-06-23 Adiseshu Hari , Urs Niesen , Gordon Wilfong

The paper presents a solution to the problem of universal representation of graphs exemplifying communication network topologies with the help of neural networks. The proposed approach is based on message-passing neural networks (MPNN). The…

网络与互联网体系结构 · 计算机科学 2019-04-15 Krzysztof Rusek , Piotr Chołda

To understand the structure of a network, it can be useful to break it down into its constituent pieces. This is the approach taken in a multitude of successful network analysis methods, such as motif analysis. These methods require one to…

物理与社会 · 物理学 2023-08-02 Tarmo Nurmi , Mikko Kivelä

Multilayer networks provide a more advanced and comprehensive framework for modeling real-world systems compared to traditional single-layer and multiplex networks. Unlike single-layer models, multilayer networks have multiple interacting…

Graph theory is increasingly commonly utilised in genetics, proteomics and neuroimaging. In such fields, the data of interest generally constitute weighted graphs. Analysis of such weighted graphs often require the integration of…

分子网络 · 定量生物学 2011-06-09 Cedric E. Ginestet , Andrew Simmons

A capsule is a collection of neurons which represents different variants of a pattern in the network. The routing scheme ensures only certain capsules which resemble lower counterparts in the higher layer should be activated. However, the…

机器学习 · 计算机科学 2018-08-15 Hongyang Li , Xiaoyang Guo , Bo Dai , Wanli Ouyang , Xiaogang Wang

Complex systems of interacting components often can be modeled by a simple graph $\mathcal{G}$ that consists of a set of $n$ nodes and a set of $m$ edges. Such a graph can be represented by an adjacency matrix $A\in\R^{n\times n}$, whose…

物理与社会 · 物理学 2025-09-17 Silvia Noschese , Lothar Reichel

With the emergence of compute-intensive and delay-sensitive applications in vehicular networks, unmanned aerial vehicles (UAVs) have emerged as a promising complement for vehicular edge computing due to the high mobility and flexible…

机器学习 · 计算机科学 2025-07-09 Hongbao Li , Ziye Jia , Sijie He , Kun Guo , Qihui Wu

We develop a discrete-time version of the blended dynamics theorem for the use of designing distributed computation algorithms. The blended dynamics theorem enables to predict the behavior of heterogeneous multi-agent systems. Therefore,…

系统与控制 · 电气工程与系统科学 2023-12-01 Jeong Woo Kim , Jin Gyu Lee , Donggil Lee , Hyungbo Shim

In wireless networks, coded caching is an effective technique to reduce network congestion during peak traffic times. Recently, a new concept called placement delivery array (PDA) was proposed to characterize the coded caching scheme. So…

信息论 · 计算机科学 2017-01-10 Minquan Cheng , Jing Jiang , Qifa Yan , Xiaohu Tang , Haitao Cao

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

物理与社会 · 物理学 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

Being cognizant of the abundance of multi-body interactions in various complex systems, here we investigate a possible way to incorporate multi-body interactions in dynamical networks. Adopting hypergraph as the underlying architecture aids…

动力系统 · 数学 2023-03-24 Anirban Banerjee , Samiron Parui

How can we design neural networks that allow for stable universal approximation of maps between topologically interesting manifolds? The answer is with a coordinate projection. Neural networks based on topological data analysis (TDA) use…

机器学习 · 计算机科学 2022-10-04 Michael Puthawala , Matti Lassas , Ivan Dokmanic , Pekka Pankka , Maarten de Hoop

Multilayer network analysis has become a vital tool for understanding different relationships and their interactions in a complex system, where each layer in a multilayer network depicts the topological structure of a group of nodes…

社会与信息网络 · 计算机科学 2017-09-18 Weiyi Liu , Pin-Yu Chen , Sailung Yeung , Toyotaro Suzumura , Lingli Chen

In this paper, a computationally efficient data-driven hybrid automaton model is proposed to capture unknown complex dynamical system behaviors using multiple neural networks. The sampled data of the system is divided by valid partitions…

系统与控制 · 电气工程与系统科学 2023-04-28 Yejiang Yang , Zihao Mo , Weiming Xiang

Coflow scheduling models communication requests in parallel computing frameworks where multiple data flows between shared resources need to be completed before computation can continue. In this paper, we introduce Path-based Coflow…

数据结构与算法 · 计算机科学 2020-02-18 Alexander Eckl , Luisa Peter , Maximilian Schiffer , Susanne Albers