Artificial Intelligence Applications in Complex Networks

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: closed (28 February 2025) | Viewed by 8330

Special Issue Editor


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Guest Editor
Networks Unit, IMT School for Advanced Studies, Piazza San Francesco 19, 55100 Lucca, Italy
Interests: complex networks; graph theory; statistical physics; randomization techniques for graphs; higher-order interactions; social networks; economics; neuroscience
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Special Issue Information

Dear Colleagues,

In recent years, network theory has become the core of the interdisciplinary study of complex systems. Graph theory offers a simple tool to model the interactions among nonlinear dynamic units and study the emerging collective and nontrivial patterns in different fields.

Artificial intelligence (AI) combined with a great volume of available data and advanced algorithms can provide an unprecedented opportunity to explore complex system features by means of data-driven techniques. Indeed, AI makes use of neuronal networks, deep learning, machine learning techniques, and supervised and unsupervised learning to automate the building of analytical models, and improve repetitive learning and discovery through data.

This Special Issue aims to collect unpublished and original contributions from different fields and areas of interest that combine AI techniques and complex networks. Topics of interest include, but are not limited to:

  • Real-world applications to biophysical and socioeconomic phenomena;
  • Processes on hypergraphs and higher-order networks, and topological data analyses;
  • Community detection;
  • Data mining and evolutionary games on networks;
  • Cognitive processes.

Dr. Rossana Mastrandrea
Guest Editor

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Keywords

  • artificial intelligence
  • complex networks
  • machine learning
  • graph neural networks
  • deep learning

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Published Papers (6 papers)

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Research

17 pages, 1619 KiB  
Article
Information Dissemination Model Based on Social Networks Characteristics
by Jianwei Ding, Zehan Li, Xia Wu, Rong Liu and Hangyu Hu
Mathematics 2025, 13(8), 1254; https://doi.org/10.3390/math13081254 - 10 Apr 2025
Viewed by 301
Abstract
As a crucial platform, online social networks provide individuals with avenues to exchange ideas and access information, exerting profound impacts on society and nations. In social networks, key users, serving as edge nodes in the process of information dissemination, play a pivotal role [...] Read more.
As a crucial platform, online social networks provide individuals with avenues to exchange ideas and access information, exerting profound impacts on society and nations. In social networks, key users, serving as edge nodes in the process of information dissemination, play a pivotal role because they directly connect users and can process and forward information in real-time. Furthermore, edge nodes enable personalized information dissemination based on users’ social relationships and behavioral characteristics, more accurately reflecting the pathways and influence of information spread. Early research primarily focused on the dynamics of information dissemination in complex networks, aiming to develop general predictive models to understand the overall mechanisms of information spread. However, there is still a lack of research on how the unique social relationships and attributes in social networks affect information dissemination. To address this gap, we conducted an in-depth study of the characteristics of information dissemination in social networks and improved the classic independent cascade model, proposing a novel predictive model for information spread. This enhancement not only improves the accuracy of simulating the information dissemination process in social networks but also demonstrates that our proposed model significantly outperforms other models in terms of accuracy. The findings provide a more effective tool for understanding and predicting information dissemination in social networks. Full article
(This article belongs to the Special Issue Artificial Intelligence Applications in Complex Networks)
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27 pages, 597 KiB  
Article
Alpha Unpredictable Cohen–Grossberg Neural Networks with Poisson Stable Piecewise Constant Arguments
by Marat Akhmet, Zakhira Nugayeva and Roza Seilova
Mathematics 2025, 13(7), 1068; https://doi.org/10.3390/math13071068 - 25 Mar 2025
Viewed by 225
Abstract
There are three principal novelties in the present investigation. It is the first time Cohen–Grossberg-type neural networks are considered with the most general delay and advanced piecewise constant arguments. The model is alpha unpredictable in the sense of electrical inputs and is researched [...] Read more.
There are three principal novelties in the present investigation. It is the first time Cohen–Grossberg-type neural networks are considered with the most general delay and advanced piecewise constant arguments. The model is alpha unpredictable in the sense of electrical inputs and is researched under the conditions of alpha unpredictable and Poisson stable outputs. Thus, the phenomenon of ultra Poincaré chaos, which can be indicated through the analysis of a single motion, is now confirmed for a most sophisticated neural network. Moreover, finally, the approach of pseudo-quasilinear reduction, in its most effective form is now expanded for strong nonlinearities with time switching. The complexity of the discussed model makes it universal and useful for various specific cases. Appropriate examples with simulations that support the theoretical results are provided. Full article
(This article belongs to the Special Issue Artificial Intelligence Applications in Complex Networks)
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34 pages, 2537 KiB  
Article
Intelligent Incident Management Leveraging Artificial Intelligence, Knowledge Engineering, and Mathematical Models in Enterprise Operations
by Arturo Peralta, José A. Olivas, Francisco P. Romero and Pedro Navarro-Illana
Mathematics 2025, 13(7), 1055; https://doi.org/10.3390/math13071055 - 24 Mar 2025
Viewed by 317
Abstract
This study explores the development and implementation of an intelligent incident management system leveraging artificial intelligence (AI), knowledge engineering, and mathematical modeling to optimize enterprise operations. Enterprise incident resolution can be conceptualized as a complex network of interdependent systems, where disruptions in one [...] Read more.
This study explores the development and implementation of an intelligent incident management system leveraging artificial intelligence (AI), knowledge engineering, and mathematical modeling to optimize enterprise operations. Enterprise incident resolution can be conceptualized as a complex network of interdependent systems, where disruptions in one area propagate through interconnected decision nodes and resolution workflows. The system integrates advanced natural language processing (NLP) for incident classification, rule-based expert systems for actionable recommendations, and multi-objective optimization techniques for resource allocation. By modeling incident interactions as a dynamic network, we apply network-based AI techniques to optimize resource distribution and minimize systemic congestion. A three-month pilot study demonstrated significant improvements in efficiency, with a 33% reduction in response times and a 25.7% increase in resource utilization. Additionally, customer satisfaction improved by 18.4%, highlighting the system’s effectiveness in delivering timely and equitable solutions. These findings suggest that incident management in large-scale enterprise environments aligns with network science principles, where analyzing node centrality, connectivity, and flow dynamics enables more resilient and adaptive management strategies. This paper discusses the system’s architecture, performance, and potential for scalability, offering insights into the transformative role of AI within networked enterprise ecosystems. Full article
(This article belongs to the Special Issue Artificial Intelligence Applications in Complex Networks)
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13 pages, 31731 KiB  
Article
Graph Convolutional Network Design for Node Classification Accuracy Improvement
by Mohammad Abrar Shakil Sejan, Md Habibur Rahman, Md Abdul Aziz, Jung-In Baik, Young-Hwan You and Hyoung-Kyu Song
Mathematics 2023, 11(17), 3680; https://doi.org/10.3390/math11173680 - 26 Aug 2023
Cited by 4 | Viewed by 2937
Abstract
Graph convolutional networks (GCNs) provide an advantage in node classification tasks for graph-related data structures. In this paper, we propose a GCN model for enhancing the performance of node classification tasks. We design a GCN layer by updating the aggregation function using an [...] Read more.
Graph convolutional networks (GCNs) provide an advantage in node classification tasks for graph-related data structures. In this paper, we propose a GCN model for enhancing the performance of node classification tasks. We design a GCN layer by updating the aggregation function using an updated value of the weight coefficient. The adjacency matrix of the input graph and the identity matrix are used to calculate the aggregation function. To validate the proposed model, we performed extensive experimental studies with seven publicly available datasets. The proposed GCN layer achieves comparable results with the state-of-the-art methods. With one single layer, the proposed approach can achieve superior results. Full article
(This article belongs to the Special Issue Artificial Intelligence Applications in Complex Networks)
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13 pages, 328 KiB  
Article
Optimization Based Layer-Wise Pruning Threshold Method for Accelerating Convolutional Neural Networks
by Yunlong Ding and Di-Rong Chen
Mathematics 2023, 11(15), 3311; https://doi.org/10.3390/math11153311 - 27 Jul 2023
Cited by 5 | Viewed by 2214
Abstract
Among various network compression methods, network pruning has developed rapidly due to its superior compression performance. However, the trivial pruning threshold limits the compression performance of pruning. Most conventional pruning threshold methods are based on well-known hard or soft techniques that rely on [...] Read more.
Among various network compression methods, network pruning has developed rapidly due to its superior compression performance. However, the trivial pruning threshold limits the compression performance of pruning. Most conventional pruning threshold methods are based on well-known hard or soft techniques that rely on time-consuming handcrafted tests or domain experience. To mitigate these issues, we propose a simple yet effective general pruning threshold method from an optimization point of view. Specifically, the pruning threshold problem is formulated as a constrained optimization program that minimizes the size of each layer. More importantly, our pruning threshold method together with conventional pruning works achieves a better performance across various pruning scenarios on many advanced benchmarks. Notably, for the L1-norm pruning algorithm with VGG-16, our method achieves higher FLOPs reductions without utilizing time-consuming sensibility analysis. The compression ratio boosts from 34% to 53%, which is a huge improvement. Similar experiments with ResNet-56 reveal that, even for compact networks, our method achieves competitive compression performance even without skipping any sensitive layers. Full article
(This article belongs to the Special Issue Artificial Intelligence Applications in Complex Networks)
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12 pages, 1128 KiB  
Article
Learning Bilateral Clipping Parametric Activation for Low-Bit Neural Networks
by Yunlong Ding and Di-Rong Chen
Mathematics 2023, 11(9), 2001; https://doi.org/10.3390/math11092001 - 23 Apr 2023
Cited by 2 | Viewed by 1408
Abstract
Among various network compression methods, network quantization has developed rapidly due to its superior compression performance. However, trivial activation quantization schemes limit the compression performance of network quantization. Most conventional activation quantization methods directly utilize the rectified activation functions to quantize models, yet [...] Read more.
Among various network compression methods, network quantization has developed rapidly due to its superior compression performance. However, trivial activation quantization schemes limit the compression performance of network quantization. Most conventional activation quantization methods directly utilize the rectified activation functions to quantize models, yet their unbounded outputs generally yield drastic accuracy degradation. To tackle this problem, we propose a comprehensive activation quantization technique namely Bilateral Clipping Parametric Rectified Linear Unit (BCPReLU) as a generalized version of all rectified activation functions, which limits the quantization range more flexibly during training. Specifically, trainable slopes and thresholds are introduced for both positive and negative inputs to find more flexible quantization scales. We theoretically demonstrate that BCPReLU has approximately the same expressive power as the corresponding unbounded version and establish its convergence in low-bit quantization networks. Extensive experiments on a variety of datasets and network architectures demonstrate the effectiveness of our trainable clipping activation function. Full article
(This article belongs to the Special Issue Artificial Intelligence Applications in Complex Networks)
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