Artificial Intelligence, Algorithms, and Databases: Innovations and Cross-Disciplinary Impact

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: 30 June 2026 | Viewed by 1538

Special Issue Editors


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Guest Editor
College of Artificial Intelligence and Automation, Hohai University, Changzhou 213200, China
Interests: deep learning; intelligent optimization algorithm; time-series forecasting

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Guest Editor
School of Mechanical Engineering, Dongguan University of Technology, Dongguan 523808, China
Interests: intelligent optimization algorithm; swarm intelligence; scheduling optimization

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Guest Editor Assistant
School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710119, China
Interests: intelligent optimization algorithm; swarm intelligence; data mining

Special Issue Information

Dear Colleagues,

Data-driven intelligent learning algorithms and deep learning models are a branch of artificial intelligence that emphasizes developing and using information learned from databases or time-series databases. Many real-world applications for complex industrial engineering or design problems could be modeled as optimization problems. Learning from time-series data or non-time-series databases, data-driven intelligent optimization algorithms and deep learning models represent an emerging approach that utilizes metaheuristic algorithms or deep models. These approaches have been actively investigated and applied to many real-world applications, mainly 5G communications, wireless sensor networks, scheduling, logistics and other operations.

Data-driven intelligent learning algorithms and deep learning models are a collection of search, learning and optimization techniques. Intelligent optimization algorithms include bio-inspired intelligent algorithms, evolutionary computation methods, swarm intelligence, etc. Deep learning models include CNNs, RNNs, LSTMs, GRUs, Autoencoders, GANs, Transformers, MLPs, DBNs, RBMs, Spiking Neural Networks (though less common), Capsule Networks, U-Net, YOLO, DQN, etc. With these methods, the optimization problems, which can be represented in any form, do not need to be mathematically represented as continuous and differentiable functions. The only requirement for representing optimization problems is to evaluate the objective function or loss function. Therefore, data-driven intelligent learning algorithms and deep learning models could be utilized to solve more general optimization problems, especially for problems that are very difficult to solve with traditional hill-climbing algorithms.

Real-world applications have complex properties. Firstly, 5G communications face several challenges and problems, which can be categorized into technical, infrastructural, and societal issues. Wireless sensor networks also face significant challenges that need to be addressed to ensure their effective and reliable operation. Managing a large number of sensor nodes efficiently is challenging, particularly in terms of data aggregation, routing, and network organization. Multiple sensors may generate redundant data, leading to unnecessary energy consumption and bandwidth usage. Moreover, massive data are collected and used in scheduling tasks to optimize route selection, taxi dispatching, dynamic transit bus scheduling, and other mobility services to improve the efficiency of operations. Another example is logistics, where material movements within and between supply chain entities, including warehouses, factories, distribution centers, and retail shops, are improved and optimized with advanced data-oriented techniques.

Due to the complexity of real-world applications, no one panacea can solve all troubles. Data-driven intelligent learning algorithms and deep learning models are practical approaches to handling such complexity by utilizing CNNs, RNNs, LSTMs, Autoencoders, GANs, Transformers, evolutionary computation, swarm intelligence, and other meta-heuristics methods based on domain expert knowledge and experience.

Scope of the Special Issue:

Submissions involving real-world case studies are encouraged on the following topics (but not limited to):

  • Artificial intelligence;
  • Deep learning;
  • Data mining;
  • Data-driven optimization methods;
  • Time-series forecasting;
  • Time-series anomaly detection;
  • Swarm intelligence;
  • Intelligent computing;
  • Bio-inspired algorithms and nature-inspired computing;
  • Computational intelligence and evolutionary algorithms;
  • Meta-heuristic algorithms;
  • Intelligent optimization algorithms;
  • CNNs, RNNs, LSTMs, GRUs, Autoencoders, GANs, Transformers, MLPs, DBNs, RBMs, Spiking Neural Networks, Capsule Networks, U-Net, YOLO, etc.;
  • Other related topics.

Dr. Junfeng Chen
Dr. Shi Cheng
Prof. Dr. Xiaohui Yan
Guest Editors

Dr. Sicheng Hou
Guest Editor Assistant

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

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Keywords

  • artificial intelligence
  • deep learning
  • swarm intelligence
  • data-driven optimization methods
  • time-series forecasting
  • computational intelligence and evolutionary algorithms
  • meta-heuristic algorithms
  • intelligent optimization algorithms
  • data mining
  • CNNs
  • RNNs
  • LSTMs
  • autoencoders
  • GANs
  • transformers
  • time-series anomaly detection

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Published Papers (3 papers)

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Research

21 pages, 2995 KB  
Article
KAN-Former: 4D Trajectory Prediction for UAVs Based on Cross-Dimensional Attention and KAN Decomposition
by Junfeng Chen and Yuqi Lu
Mathematics 2025, 13(23), 3877; https://doi.org/10.3390/math13233877 - 3 Dec 2025
Abstract
To address the core challenges of multivariate nonlinear coupling and long-term temporal dependency in 4D UAV trajectory prediction, this study proposes an innovative model named KAN-Former. On a 21-dimensional multimodal UAV dataset, KAN-Former achieves statistically significant improvements over all baseline models, reducing the [...] Read more.
To address the core challenges of multivariate nonlinear coupling and long-term temporal dependency in 4D UAV trajectory prediction, this study proposes an innovative model named KAN-Former. On a 21-dimensional multimodal UAV dataset, KAN-Former achieves statistically significant improvements over all baseline models, reducing the mean squared error (MSE) by 8.96% compared to the standard Transformer and by 2.66% compared to the strongest physics-informed baseline (PITA), while decreasing the mean absolute error (MAE) by 7.43% relative to TimeMixer/PatchTST. The model adopts a collaborative architecture with two key components: first, a “vertical–horizontal” cross-dimensional attention mechanism—where the vertical branch models physical correlations among multivariate variables using hierarchical clustering priors, and the horizontal branch employs a blockwise dimensionality reduction strategy to efficiently capture long-term temporal dynamics; second, it represents the first application of Kolmogorov–Arnold decomposition in trajectory prediction, replacing traditional feedforward networks with learnable combinations of B-spline basis functions to approximate high-dimensional nonlinear mappings. Ablation studies verify the effectiveness of each module, with the KAN module alone reducing MSE by 6.59%. Moreover, the model’s feature clustering results align closely with UAV physical characteristics, significantly improving interpretability. The demonstrated improvements in accuracy, interpretability, and computational efficiency make KAN-Former highly suitable for real-world applications such as real-time flight control and air traffic management, providing reliable trajectory forecasts for decision-making systems. This work offers a new paradigm for trajectory prediction in complex dynamic systems, successfully integrating theoretical innovation with practical value. Full article
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21 pages, 2214 KB  
Article
Denoising Diffusion Model-Driven Adaptive Estimation of Distribution Algorithm Integrating Multi-Modal Data
by Lin Bao, Lina Wang, Biao Xu, Hang Yang and Yumeng Peng
Mathematics 2025, 13(23), 3777; https://doi.org/10.3390/math13233777 - 25 Nov 2025
Viewed by 315
Abstract
Personalized search and recommendation algorithms for multi-modal data have attracted widespread attention. However, existing methods often struggle with effectively integrating multi-source information and performing global search in complex optimization problems. To address these limitations, this paper proposed a denoising diffusion model-driven adaptive estimation [...] Read more.
Personalized search and recommendation algorithms for multi-modal data have attracted widespread attention. However, existing methods often struggle with effectively integrating multi-source information and performing global search in complex optimization problems. To address these limitations, this paper proposed a denoising diffusion model-driven adaptive estimation of a distribution algorithm integrating multi-modal data. Multi-modal user-generated contents are extensively collected, such as users’ interaction behaviors, category tags, text comments, images, social network relationships, etc. A user interest preference model based on a denoising diffusion model is established by learning the fusion representation of multi-modal data, which extracts user preference features. The surrogate model based on user preferences and adaptive estimation of distribution strategies is presented in the framework of an estimation of distribution algorithm. A surrogate-driven adaptive estimation of distribution algorithm is designed to align with users’ cognitive experiences and behavioral patterns, thereby enhancing the optimization capability of the personalized search algorithm. Additionally, a dynamic model management mechanism is established to update the user interest preference model with new available modal information, which tracks the changes in users’ interest preferences in real-world scenarios. It assists users in efficiently filtering items that match their preferences from large-scale information sources. Extensive experiments on general public datasets demonstrate the feasibility, effectiveness, and superiority of the proposed algorithm, confirming its improvements in both search efficiency and recommendation performance for a personalized recommendation algorithm. Full article
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16 pages, 14135 KB  
Article
Underwater Image Enhancement with a Hybrid U-Net-Transformer and Recurrent Multi-Scale Modulation
by Zaiming Geng, Jiabin Huang, Xiaotian Wang, Yu Zhang, Xinnan Fan and Pengfei Shi
Mathematics 2025, 13(21), 3398; https://doi.org/10.3390/math13213398 - 25 Oct 2025
Viewed by 826
Abstract
The quality of underwater imagery is inherently degraded by light absorption and scattering, a challenge that severely limits its application in critical domains such as marine robotics and archeology. While existing enhancement methods, including recent hybrid models, attempt to address this, they often [...] Read more.
The quality of underwater imagery is inherently degraded by light absorption and scattering, a challenge that severely limits its application in critical domains such as marine robotics and archeology. While existing enhancement methods, including recent hybrid models, attempt to address this, they often struggle to restore fine-grained details without introducing visual artifacts. To overcome this limitation, this work introduces a novel hybrid U-Net-Transformer (UTR) architecture that synergizes local feature extraction with global context modeling. The core innovation is a Recurrent Multi-Scale Feature Modulation (R-MSFM) mechanism, which, unlike prior recurrent refinement techniques, employs a gated modulation strategy across multiple feature scales within the decoder to iteratively refine textural and structural details with high fidelity. This approach effectively preserves spatial information during upsampling. Extensive experiments demonstrate the superiority of the proposed method. On the EUVP dataset, UTR achieves a PSNR of 28.347 dB, a significant gain of +3.947 dB over the state-of-the-art UWFormer. Moreover, it attains a top-ranking UIQM score of 3.059 on the UIEB dataset, underscoring its robustness. The results confirm that UTR provides a computationally efficient and highly effective solution for underwater image enhancement. Full article
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