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Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a…

Dynamical Systems · Mathematics 2017-02-07 Christian Bick , Michael Field

Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the network setting, critical nodes of different indices are defined. This leads to a concise and…

Methodology · Statistics 2012-05-01 E. Weinan , Jianfeng Lu , Yuan Yao

The ever increasing prevalence of publicly available structured data on the World Wide Web enables new applications in a variety of domains. In this paper, we provide a conceptual approach that leverages such data in order to explain the…

Artificial Intelligence · Computer Science 2017-10-13 Md Kamruzzaman Sarker , Ning Xie , Derek Doran , Michael Raymer , Pascal Hitzler

Signed networks provide a principled framework for representing systems in which interactions are not merely present or absent but qualitatively distinct: friendly or antagonistic, supportive or conflicting, excitatory or inhibitory. This…

Since many real world networks are evolving over time, such as social networks and user-item networks, there are increasing research efforts on dynamic network embedding in recent years. They learn node representations from a sequence of…

Social and Information Networks · Computer Science 2021-03-30 Guotong Xue , Ming Zhong , Jianxin Li , Jia Chen , Chengshuai Zhai , Ruochen Kong

We consider neural networks from the point of view of dynamical systems theory. In this spirit we review recent results dealing with the following questions, adressed in the context of specific models. 1. Characterizing the collective…

Adaptation and Self-Organizing Systems · Physics 2010-11-09 B. Cessac

Along with the great success of deep neural networks, there is also growing concern about their black-box nature. The interpretability issue affects people's trust on deep learning systems. It is also related to many ethical problems, e.g.,…

Machine Learning · Computer Science 2022-02-01 Yu Zhang , Peter Tiňo , Aleš Leonardis , Ke Tang

Semantic communication, leveraging advanced deep learning techniques, emerges as a new paradigm that meets the requirements of next-generation wireless networks. However, current semantic communication systems, which employ neural coding…

Information Theory · Computer Science 2025-08-20 Hai-Long Qin , Jincheng Dai , Sixian Wang , Xiaoqi Qin , Shuo Shao , Kai Niu , Wenjun Xu , Ping Zhang

Traditional neural networks have an impressive classification performance, but what they learn cannot be inspected, verified or extracted. Neural Logic Networks on the other hand have an interpretable structure that enables them to learn a…

Machine Learning · Computer Science 2026-01-26 Vincent Perreault , Katsumi Inoue , Richard Labib , Alain Hertz

An object-oriented approach to implementing artificial neural networks is introduced in this article. The networks obtained in this way are highly connected in that they admit edges between nodes in any layers of the network, and dynamic,…

Machine Learning · Computer Science 2023-02-20 Clint van Alten

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

Neural networks have achieved remarkable success across various fields. However, the lack of interpretability limits their practical use, particularly in critical decision-making scenarios. Post-hoc interpretability, which provides…

Machine Learning · Computer Science 2025-11-21 Yang Ji , Ying Sun , Yuting Zhang , Zhigaoyuan Wang , Yuanxin Zhuang , Zheng Gong , Dazhong Shen , Chuan Qin , Hengshu Zhu , Hui Xiong

Deep Neural Networks (DNNs) are universal function approximators providing state-of- the-art solutions on wide range of applications. Common perceptual tasks such as speech recognition, image classification, and object tracking are now…

Machine Learning · Statistics 2017-11-08 Randall Balestriero , Richard Baraniuk

The increasing interest in complex networks research has been a consequence of several intrinsic features of this area, such as the generality of the approach to represent and model virtually any discrete system, and the incorporation of…

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

Systems and Control · Computer Science 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

Graph theory is now becoming a standard tool in system-level neuroscience. However, endowing observed brain anatomy and dynamics with a complex network structure does not entail that the brain actually works as a network. Asking whether the…

Neurons and Cognition · Quantitative Biology 2024-12-24 D. Papo , J. M. Buldú

Although deep neural networks have shown well-performance in various tasks, the poor interpretability of the models is always criticized. In the paper, we propose a new interpretable neural network method, by embedding neurons into the…

Machine Learning · Computer Science 2022-11-16 Wei Han , Yangqiming Wang , Christian Böhm , Junming Shao

In this paper, we present a rich semantic network based on a differential analysis. We then detail implemented measures that take into account common and differential features between words. In a last section, we describe some industrial…

Artificial Intelligence · Computer Science 2007-05-23 Dominique Dutoit , Thierry Poibeau

Semantic communication has shown great potential in boosting the effectiveness and reliability of communications. However, its systems to date are mostly enabled by deep learning, which requires demanding computing resources. This article…

Information Theory · Computer Science 2023-12-04 Zhijin Qin , Jingkai Ying , Dingxi Yang , Hengjiang Wang , Xiaoming Tao

The semantics of content is one of the essential constituents of models of innovative educational systems. It is gradually built based on normative efforts carried out by different actors in the fields of the technological industry,…

Computers and Society · Computer Science 2024-04-23 Mokhtar Ben Henda