Computer Science, Machine Learning, Algorithms, and Applied Mathematics

A Special Issue of AppliedMath (ISSN 2673-9909) belonging to the section "Computational and Numerical Mathematics".

Deadline for manuscript submissions: 31 October 2026 | Viewed by 2790

Editors


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Guest Editor
College of Information Science and Technology, Qingdao University of Science and Technology, Qingdao 266061, China
Interests: machine learning; multi-objective optimization; evolutionary learning; deep learning; feature engineering; mainre IoT; object detection and tracking

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Guest Editor
Department of Electronic Engineering, National Chin-Yi University of Technology, Taichung 41107, Taiwan
Interests: smart computing; robust control; secure communication; chaotic signal processing
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

With the rapid development of intelligent systems and data-centric technologies, modern computational challenges increasingly require advanced mathematical modeling, efficient learning algorithms, and robust optimization strategies. Machine learning, evolutionary computation, and deep neural architectures have become indispensable tools for analyzing high-dimensional, heterogeneous, and dynamic data in various scientific and engineering domains.

At the same time, emerging application areas—such as the Marine Internet of Things (IoT), autonomous systems, smart sensing, and complex environmental monitoring—demand more accurate prediction models, adaptive learning mechanisms, and scalable computational frameworks. These advances highlight the importance of integrating applied mathematics with algorithmic innovation to develop new theories and methods that can support reliable decision-making in complex real-world scenarios.

This Topic invites high-quality research and review articles addressing the theoretical foundations, technological enablers, and practical applications of computer science–driven machine learning and algorithmic innovation, including advances in learning theory, optimization algorithms, intelligent computing frameworks, and data-driven systems across scientific and engineering domains. Topics of interest include, but are not limited to, the following:

  • Machine learning algorithms and theoretical foundations;
  • Deep learning models and their applications;
  • Evolutionary computation and multi-objective optimization;
  • Swarm intelligence and cooperative learning frameworks;
  • Feature engineering, representation learning, and dimensionality reduction;
  • High-dimensional, heterogeneous, or streaming data analysis;
  • Marine IoT data modeling, intelligent sensing, and environmental monitoring;
  • Object detection, object tracking, and perception algorithms;
  • Optimization-driven learning, probabilistic modeling, and mathematical algorithm design;
  • Applied mathematics methods in intelligent systems and computational science;

This Topic aims to propose novel algorithms, provide deep mathematical insights, or demonstrate effective applications in engineering, environmental science, autonomous systems, and related fields.

Dr. Kunpeng Zhang
Prof. Dr. Jun-Juh Yan
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. AppliedMath is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • machine learning
  • deep learning
  • evolutionary computation
  • multi-objective optimization
  • computational algorithms
  • feature engineering
  • marine IoT
  • intelligent sensing
  • object detection and tracking
  • computational intelligence

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Published Papers (2 papers)

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Research

13 pages, 281 KB  
Article
On Even 2n-Unitary Perfect Polynomials over F2
by Wiam Zeid, Haissam Chehade, Issam Kaddoura and Yahia Awad
AppliedMath 2026, 6(6), 87; https://doi.org/10.3390/appliedmath6060087 - 3 Jun 2026
Viewed by 279
Abstract
Let k be a positive integer. A polynomial AF2[x] is called k-unitary perfectif the sum of the k-th powers of its distinct unitary divisors equals Ak. In this paper, we study the case [...] Read more.
Let k be a positive integer. A polynomial AF2[x] is called k-unitary perfectif the sum of the k-th powers of its distinct unitary divisors equals Ak. In this paper, we study the case k=2n and prove that every 2n-unitary perfect polynomial over F2 is even. Moreover, we completely classify all even 2n-unitary perfect polynomials having at most three distinct irreducible factors. In particular, we characterize all such polynomials of the form A=xa(x+1)bPh, where P is a Mersenne prime over F2 and a,b,hN. As a consequence, several explicit infinite families of k-unitary perfect polynomials over F2 are obtained. Full article
34 pages, 2420 KB  
Article
Exploring Artificial Intelligence and Machine Learning Approaches to Legal Reasoning
by Wullianallur Raghupathi
AppliedMath 2026, 6(2), 32; https://doi.org/10.3390/appliedmath6020032 - 12 Feb 2026
Viewed by 1933
Abstract
Modeling legal reasoning with artificial intelligence and machine learning presents formidable challenges. Legal decisions emerge from a complex interplay of factual circumstances, statutory interpretation, case precedent, jurisdictional variation, and human judgment—including the behavioral characteristics of judges and juries. This paper takes an exploratory [...] Read more.
Modeling legal reasoning with artificial intelligence and machine learning presents formidable challenges. Legal decisions emerge from a complex interplay of factual circumstances, statutory interpretation, case precedent, jurisdictional variation, and human judgment—including the behavioral characteristics of judges and juries. This paper takes an exploratory approach to investigating how contemporary ML techniques might capture aspects of this complexity. Using pharmaceutical patent litigation as an illustrative domain, we develop a multi-layer analytical pipeline integrating text mining, clustering, topic modeling, and classification to analyze 698 U.S. federal district court decisions spanning January 2016 through December 2018, comprising substantive validity and infringement rulings under the Hatch-Waxman regulatory framework. Results demonstrate that the pipeline achieves 85–89% prediction accuracy—substantially exceeding the 42% baseline majority-class rate and comparing favorably with prior legal prediction studies—while producing interpretable intermediate outputs: clusters that correspond to recognized doctrinal categories (Abbreviated New Drug Application—ANDA litigation, obviousness, written description, claim construction) and topics that capture recurring legal themes. We discuss what these findings reveal about both the possibilities and limitations of computational approaches to legal reasoning, acknowledging the significant gap between statistical prediction and genuine legal understanding. Full article
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