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Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

机器学习 · 计算机科学 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

The extraction of brain functioning features is a crucial step in the definition of brain-computer interfaces (BCIs). In the last decade, functional connectivity (FC) estimators have been increasingly explored based on their ability to…

The science of consciousness has made great strides by focusing on the behavioral and neuronal correlates of experience. However, correlates are not enough if we are to understand even basic neurological fact; nor are they of much help in…

神经元与认知 · 定量生物学 2023-10-15 Giulio Tononi , Christof Koch

Comparing two population means of network data is of paramount importance in a wide range of scientific applications. Many existing network inference solutions focus on global testing of entire networks, without comparing individual network…

统计方法学 · 统计学 2019-10-10 Yin Xia , Lexin Li

The inverse statistical problem of finding direct interactions in complex networks is difficult. In the natural sciences, well-controlled perturbation experiments are widely used to probe the structure of complex networks. However, our…

无序系统与神经网络 · 物理学 2019-10-24 Jialong Jiang , David A. Sivak , Matt Thomson

We propose a complexity measure which addresses the functional flexibility of networks. It is conjectured that the functional flexibility is reflected in the topological diversity of the assigned graphs, resulting from a resolution of their…

凝聚态物理 · 物理学 2009-11-10 Hildegard Meyer-Ortmanns

We investigate the computational complexity of testing dominance and consistency in CP-nets. Previously, the complexity of dominance has been determined for restricted classes in which the dependency graph of the CP-net is acyclic. However,…

人工智能 · 计算机科学 2014-01-16 Judy Goldsmith , Jerome Lang , Miroslaw Truszczyski , Nic Wilson

In a previous report we have evaluated analytically the mutual information between the firing rates of N independent units and a set of continuous+discrete stimuli, for finite N and in the limit of large noise. Here, we extend the analysis…

无序系统与神经网络 · 物理学 2009-11-07 Valeria Del Prete , Alessandro Treves

Mapping the Internet generally consists in sampling the network from a limited set of sources by using traceroute-like probes. This methodology, akin to the merging of different spanning trees to a set of destination, has been argued to…

网络与互联网体系结构 · 计算机科学 2011-11-09 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

Understanding natural phenomenon through the interactions of different complex systems has become an increasing focus in scientific inquiry. Defining complexity and actually measuring it is an ongoing debate and no standard framework has…

信息论 · 计算机科学 2026-01-21 Gabriel Potestades

As neuroscientific theories of consciousness continue to proliferate, the need to assess their similarities and differences - as well as their predictive and explanatory power - becomes ever more pressing. Recently, a number of structured…

Resilience and robustness are important properties in the reliability and attack-tolerance analysis of networks. In recent decades, various qualitative and heuristic-based quantitative approaches have made significant contributions in…

最优化与控制 · 数学 2022-12-15 Milad Dehghani Filabadi

In this paper, we present a method that combines information-theoretical and statistical approaches to infer connectivity in complex networks using time-series data. The method is based on estimations of the Mutual Information Rate for…

数据分析、统计与概率 · 物理学 2022-10-19 Chris G. Antonopoulos

The use of $\ell_p$ $(p=1,2)$ norms has largely dominated the measurement of loss in neural networks due to their simplicity and analytical properties. However, when used to assess the loss of visual information, these simple norms are not…

图像与视频处理 · 电气工程与系统科学 2020-11-18 Li-Heng Chen , Christos G. Bampis , Zhi Li , Andrey Norkin , Alan C. Bovik

The purpose of this work was to develop of metrics to assess network architectures that balance neural network size and task performance. To this end, the concept of neural efficiency is introduced to measure neural layer utilization, and a…

机器学习 · 计算机科学 2020-06-05 Nicholas J. Schaub , Nathan Hotaling

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

统计力学 · 物理学 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

The coarsest approximation of the structure of a complex network, such as the Internet, is a simple undirected unweighted graph. This approximation, however, loses too much detail. In reality, objects represented by vertices and edges in…

网络与互联网体系结构 · 计算机科学 2009-11-02 Xenofontas Dimitropoulos , Dmitri Krioukov , Amin Vahdat , George Riley

Our understanding of complex systems rests on our ability to characterise how they perform distributed computation and integrate information. Advances in information theory have introduced several quantities to describe complex information…

信息论 · 计算机科学 2026-04-13 Alberto Liardi , George Blackburne , Hardik Rajpal , Fernando E. Rosas , Pedro A. M. Mediano

Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to…

社会与信息网络 · 计算机科学 2014-02-04 Burcu Kantarcı , Vincent Labatut

The complexity of highly interconnected systems is rooted in the interwoven architecture defined by its connectivity structure. In this paper, we develop matrix energy of the underlying connectivity structure as a measure of topological…

物理与社会 · 物理学 2016-08-31 Kaushik Sinha , Olivier L. de Weck