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这篇论文是复杂网络巨擘Barabasi在2016年2月18日最新发表的论文，刊载于国际顶尖杂志《Nature》上，希望大家看了之后能够受益。这篇论文讲的是复杂网络的弹力，就是一个系统抵御外部环境变化或者自身故障的能力，与复杂网络的动力学关系比较大，具体见下面的摘要。摘要下面是附件.
本来在翻译完Lasso in Cox Model之后想翻译Least Angle Regression, 但是一看有90+页.....我只能说The Annals of Statistics的编辑竟然在审稿的时候这么有耐心....恰好本科的老板给我发了这篇论文要上讨论班讨论, 就顺手翻译了........接下来可能会翻译Newman、Barabasi写的关于复杂网络的入门综述, 然后就是范剑青和《ESL》3位作者的论文吧
| Title | Universal resilience patterns in complex networks | ||||||||
| Authors | Jianxi Gao, Baruch Barzel & Albert-László Barabási | ||||||||
| Journal | Nature | ||||||||
| Year | 2016 | ||||||||
| 杂志影响因子 |
| ||||||||
| 中科院分区 | 大类: 综合性期刊, 1区(Top) 小类: 综合性期刊, 1区 |
摘要:
Resilience, a system’s ability to adjust its activity to retain its basic functionality when errors, failures and environmental changes occur, is a defining property of many complex systems . Despite widespread consequences for human health , the economy and the environment , events leading to loss of resilience —from cascading failures in technological systems to mass extinctions in ecological networks—are rarely predictable and are often irreversible. These limitations are rooted in a theoretical gap: the current analytical framework of resilience is designed to treat low-dimensional models with a few interacting components , and is unsuitable for multi-dimensional systems consisting of a large number of components that interact through a complex network. Here we bridge this theoretical gap by developing a set of analytical tools with which to identify the natural control and state parameters of a multi-dimensional complex system, helping us derive effective one-dimensional dynamics that accurately predict the system’s resilience. The proposed analytical framework allows us systematically to separate the roles of the system’s
dynamics and topology, collapsing the behaviour of different networks onto a single universal resilience function. The analytical results unveil the network characteristics that can enhance or diminish resilience, offering ways to prevent the collapse of ecological, biological or economic systems, and guiding the design of technological systems resilient to both internal failures and environmental changes.
弹力, 即当外部环境改变或者有内部故障发生时一个系统自动调节自身活动以保持基本功能的能力,是许多复杂系统最典型的性质. 尽管(弹力) 对人类健康、经济、环境有广泛的作用, 但是从工程技术系统中串联式的故障到生态网络中物种的大量消亡, 都表明系统趋于丧失弹力, 这是很难预测且经常是不可逆的. 然而(现实和) 理论的差距在于: 当前的弹力分析框架是为低维、节点相互作用少的模型而设计的, 对高维且以复杂网络形式进行复杂相互作用的系统并不适用. 本文提出了一套分析工具在现实和理论之间建立起一架桥梁, 通过这个工具可以识别自然控制和高维复杂网络的状态参数, 有效地获得一维动力学, 从而可以精确地预测系统的弹力. 这个分析框架可以系统地将动力学和拓扑结构分离, 因为它把不同网络的行为抽象成一个通用的弹力函数. 分析结果表明(我们)可以(人为地) 加强或减少弹力. 该工具为防止生态、生物、经济系统的萎缩提供了方案, 为如何设计出既对内部故障又对外部环境有弹力的工程技术系统做出了指导.
我的上个帖子
【可视化& R】R: 4个散点图矩阵可视化函数，吐血总结！！！！
https://bbs.pinggu.org/forum.php?mod=viewthread&tid=4232954&from^^uid=3612131
【附件下载】
原论文和论文的补充材料：
Complex network resilience[EN].rar
(30.81 MB, 需要: 1 个论坛币)
本附件包括：- Supplementary.pdf
- Universal resilience patterns in complex networks[EN].pdf
中文翻译：
Complex network resilience[CN].pdf
(1.6 MB, 需要: 5 个论坛币)
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