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Computing Persistent Homology by Spanning Trees and Critical Simplices

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Research 2024年第2期2023卷 519-527页

作者： Dinghua Shi Zhifeng chen Chuang Ma guanrong chen Department of Mathematics Cllege of ScienceShanghai UniversityShanghaiChina School of Big Data Fuzhou University of International Studies and TradeFuzhouChina Department of Data Science and Big Data Technology School of InternetAnhui UniversityHefeiChina Department of Electrical Engineering City University of Hong KongHong KongChina

Topological data analysis can extract effective information from higher-dimensional *** mathematical basis is persistent *** persistent homology can calculate topological features at different spatiotemporal scales of the dataset,that is,establishing the integrated taxonomic relation among points,lines,and ***,the simplicial network composed of all-order simplices in a simplicial complex is *** the sequence of nested simplicial subnetworks can be regarded as a discrete Morse function from the simplicial network to real values,a method based on the concept of critical simplices can be developed by searching all-order spanning *** this new method,not only the Morse function values with the theoretical minimum number of critical simplices can be obtained,but also the Betti numbers and composition of all-order cavities in the simplicial network can be calculated ***,this method is used to analyze some examples and compared with other methods,showing its effectiveness and feasibility.

关键词： Morse establishing topological

An Incentive Mechanism for Federated Learning:A Continuous Zero-Determinant Strategy Approach

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IEEE/CAA Journal of Automatica Sinica 2024年第1期11卷 88-102页

作者： Changbing Tang Baosen Yang Xiaodong Xie guanrong chen Mohammed A.A.Al-qaness Yang Liu IEEE the College of Physics and Electronic Information Engineering Zhejiang Normal UniversityUniversityJinhua 321004China the School of Mathematical Sciences Zhejiang Normal UniversityJinhua 321004China the Department of Electrical Engineering City University of Hong KongHong KongChina Key Laboratory of Intelligent Education Technology and Application of Zhejiang Province Jinhua 321004China

As a representative emerging machine learning technique, federated learning(FL) has gained considerable popularity for its special feature of “making data available but not visible”. However, potential problems remain, including privacy breaches, imbalances in payment, and inequitable *** shortcomings let devices reluctantly contribute relevant data to, or even refuse to participate in FL. Therefore, in the application of FL, an important but also challenging issue is to motivate as many participants as possible to provide high-quality data to FL. In this paper, we propose an incentive mechanism for FL based on the continuous zero-determinant(CZD) strategies from the perspective of game theory. We first model the interaction between the server and the devices during the FL process as a continuous iterative game. We then apply the CZD strategies for two players and then multiple players to optimize the social welfare of FL, for which we prove that the server can keep social welfare at a high and stable level. Subsequently, we design an incentive mechanism based on the CZD strategies to attract devices to contribute all of their high-accuracy data to ***, we perform simulations to demonstrate that our proposed CZD-based incentive mechanism can indeed generate high and stable social welfare in FL.

关键词： Federated learning(FL) game theory incentive mechanism machine learning zero-determinant strategy

The Immense Impact of Reverse Edges on Large Hierarchical Networks

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Engineering 2024年第5期36卷 240-249页

作者： Haosen Cao Bin-Bin Hu Xiaoyu Mo Duxin chen Jianxi Gao Ye Yuan guanrong chen Tamás Vicsek Xiaohong Guan Hai-Tao Zhang MOE Engineering Research Center of Autonomous Intelligent Unmanned Systems State Key Laboratory of Intelligent Manufacturing Equipment and TechnologySchool of Artificial Intelligence and AutomationHuazhong University of Science and TechnologyWuhan 430074China School of Mechanical and Aerospace Engineering Nanyang Technological UniversitySingapore 639798Singapore Jiangsu Key Laboratory of Networked Collective Intelligence School of MathematicsSoutheast UniversityNanjing 210096China Department of Computer Science Rensselaer Polytechnic InstituteTroyNY 12180USA Department of Electronic Engineering City University of Hong KongHong Kong 999077China Department of Biological Physics Eötvös UniversityBudapest 1117Hungary MOE Key Laboratory for Intelligent Networks and Network Security School of Automation Science and EngineeringXi’an Jiaotong UniversityXi’an 710049China

Hierarchical networks are frequently encountered in animal groups,gene networks,and artificial engineering systems such as multiple robots,unmanned vehicle systems,smart grids,wind farm networks,and so *** structure of a large directed hierarchical network is often strongly influenced by reverse edges from lower-to higher-level nodes,such as lagging birds’howl in a flock or the opinions of lowerlevel individuals feeding back to higher-level ones in a social *** study reveals that,for most large-scale real hierarchical networks,the majority of the reverse edges do not affect the synchronization process of the entire network;the synchronization process is influenced only by a small part of these reverse edges along specific *** surprisingly,a single effective reverse edge can slow down the synchronization of a huge hierarchical network by over 60%.The effect of such edges depends not on the network size but only on the average in-degree of the involved *** overwhelming majority of active reverse edges turn out to have some kind of“bunching”effect on the information flows of hierarchical networks,which slows down synchronization *** finding refines the current understanding of the role of reverse edges in many natural,social,and engineering hierarchical networks,which might be beneficial for precisely tuning the synchronization rhythms of these *** study also proposes an effective way to attack a hierarchical network by adding a malicious reverse edge to it and provides some guidance for protecting a network by screening out the specific small proportion of vulnerable nodes.

关键词： Synchronizability Large hierarchical networks Reverse edges Information flows Complex networks

A Linear Programming-Based Reinforcement Learning Mechanism for Incomplete-Information Games

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IEEE/CAA Journal of Automatica Sinica 2024年第11期11卷 2340-2342页

作者： Baosen Yang Changbing Tang Yang Liu Guanghui Wen guanrong chen the School of Mathematical Sciences Zhejiang Normal University the College of Physics and Electronic Information Engineering Zhejiang Normal University the Department of Systems Science the School of Mathematics Southeast University the Department of Electrical Engineering City University of Hong Kong

Dear Editor,Recently, with the development of artificial intelligence, game intelligence decision-making has attracted more and more *** particular, incomplete-information games(IIG) have gradually become a new research focus, where players make decisions without sufficient information, such as the opponent's strategies or preferences.

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Searching for Best Network Topologies with Optimal Synchronizability:A Brief Review

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IEEE/CAA Journal of Automatica Sinica 2022年第4期9卷 573-577页

作者： guanrong chen IEEE the Department of Electrical Engineering City University of Hong KongHong KongChina

The Laplacian eigenvalue spectrum of a complex network contains a great deal of information about the network topology and dynamics,particularly affecting the network synchronization process and *** article briefly reviews the recent progress in the studies of network synchronizability,regarding its spectral criteria and topological optimization,and explores the role of higher-order topologies in measuring the optimal synchronizability of large-scale complex networks.

关键词： Complex network higher-order topology spectral analysis synchronizability total homogeneity

Pinning Control and Controllability of Complex Dynamical Networks

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International Journal of Automation and computing 2017年第1期14卷 1-9页

作者： guanrong chen Department of Electronic Engineering City University of Hong Kong Hong Kong China

In this article, the notion of pinning control for directed networks of dynamical systems is introduced, where the nodes could be either single-input single-output （SISO） or multi-input multi-output （MIMO） dynamical systems, and could be non-identical and nonlinear in general but will be specified to be identical linear time-invariant （LTI） systems here in the study of network controllability. Both state and structural controllability problems will be discussed, illustrating how the network topology, node-system dynamics, external control inputs and inner dynamical interactions altogether affect the controllability of a general complex network of LTI systems, with necessary and sufficient conditions presented for both SISO and MIMO settings. To that end, the controllability of a special temporally switching directed network of linear time-varying （LTV） node systems will be addressed, leaving some more general networks and challenging issues to the end for research outlook.

关键词： Complex network pinning control controllability linear time-invarJant (LTI) system temporally switching network,graph theory.

Generating Lorenz-like and chen-like attractors from a simple algebraic structure

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Science China(Information Sciences) 2014年第7期57卷 214-220页

作者： WANG Xiong chen guanrong Department of Electronic Engineering City University of Hong Kong

This paper reports the finding of a very simple one-parameter family of three-dimensional quadratic autonomous chaotic *** algebraic structure is simple with only four linear terms and two quadratic *** quadratic terms are different from the Lorenz and the chen ***,by tuning the only parameter,this new family of systems can also generate both Lorenz-like and chen-like attractors,thus further reveal the close relation between them.

关键词： chaotic attractor Lorenz system chen system

Discrete chaos in Banach spaces

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Science China Mathematics 2005年第2期48卷 222-238页

作者： SHI Yuming chen guanrong Department of Mathematics Shandong UniversityJina 250100China Department of Electronic EngineeringCity University of Hong KongChina

This paper is concerned with chaos in discrete dynamical systems governed by continuously Frech@t differentiable maps in Banach spaces. A criterion of chaos induced by a regular nondegenerate homoclinic orbit is established. Chaos of discrete dynamical systems in the n-dimensional real space is also discussed, with two criteria derived for chaos induced by nondegenerate snap-back repellers, one of which is a modified version of Marotto's theorem. In particular, a necessary and sufficient condition is obtained for an expanding fixed point of a differentiate map in a general Banach space and in an n-dimensional real space, respectively. It completely solves a long-standing puzzle about the relationship between the expansion of a continuously differentiable map near a fixed point in an n-dimensional real space and the eigenvalues of the Jacobi matrix of the map at the fixed point.

关键词： chaos, discrete dynamical system, Banach space, Marotto's theorem.

Simplicial networks:a powerful tool for characterizing higher-order interactions

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National Science Review 2022年第5期9卷 79-80页

作者： Dinghua Shi guanrong chen Department of Mathematics College of ScienceShanghai University Department of Electronic Engineering City University of Hong Kong

In recent network research,more and more efforts have been devoted to studying higher-order interactions in complex networks that explain some intrinsic properties,discover hidden features that conventional mathematical tools cannot help to find and enable a clearer view of the re al *** article presents a perspective on the state-of-the-art progress in the field.

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