International Journal of Mathematics and Systems Science

ISSN: 2578-1839 (Online)

Journal Abbreviation: 

Int. J. Math. Syst. Sci.

International Journal of Mathematics and Systems Science is an international open access journal that publishes original research articles and review articles related to all areas of mathematics and systems science.It devotes exclusively to the publication of high-quality reviews, regular research papers and short communications in all areas of pure and applied mathematics. Mathematics also publishes timely and thorough survey articles on current trends, new theoretical techniques, novel ideas and new mathematical tools in different branches of mathematics. A submission must be well written and of interest to a substantial number of mathematicians and scientists. 

 

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International Journal of Mathematics and Systems Science is an Open Access Journal under EnPress Publisher. All articles published in International Journal of Mathematics and Systems Science are accessible electronically from the journal website without commencing any kind of payment. In order to ensure contents are freely available and maintain publishing quality, Article Process Charges (APC) is applicable to all authors who wish to submit their articles to the journal to cover the cost incurred in processing the manuscripts. Such cost will cover the peer-review, copyediting, typesetting, publishing, content depositing and archiving processes. Those charges are applicable only to authors who have their manuscript successfully accepted after peer-review.

Journal TitleAPC
International Journal of Mathematics and Systems Science$800

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Vol 7, No 10 (2024)

Full Issue

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Table of Contents

Open Access
Articles
Article ID: 10139
PDF
by Yi Zhang
Int. J. Math. Syst. Sci. 2024 , 7(10);    4 Views
Abstract This study introduces two first-order algorithms for high-dimensional minimax optimization: Accelerated Momentum Descent Ascent (AMDA) and Accelerated Variance-Reduced Gradient Descent Ascent (AVRGDA). These methods aim to address common challenges in nonconvex optimization, such as slow convergence and computational complexity. AMDA leverages momentum-driven techniques to smooth the optimization path, reducing oscillations and improving convergence speed, particularly in nonconvex-strongly-concave problems. AVRGDA incorporates adaptive learning rates that dynamically adjust according to gradient norms, enhancing the efficiency of variance reduction and handling complex optimization tasks in high-dimensional spaces. Through experiments in adversarial training and large-scale logistic regression, these methods demonstrate superior performance in terms of training time, robustness, and computational cost compared to traditional first-order methods. Theoretical analysis shows that AMDA and AVRGDA achieve convergence rates of O(ϵ−3)and O(ϵ−2.5) respectively in high-dimensional, nonconvex minimax problems, confirming their efficiency and robustness in practical applications.
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Open Access
Articles
Article ID: 10149
PDF
by Xiaojie Ma
Int. J. Math. Syst. Sci. 2024 , 7(10);    6 Views
Abstract This paper applied attitude system of appraisal theory to explore online book reviews of Red Sorghum. The results show that readers not only evaluate the story and the writer’s writing prowess, but also the characters in the book and the Chinese culture included in the book. In general, reviewers give high appreciation for this novel, but there also are some flaws that affect readers’ reading experience.
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Open Access
Articles
Article ID: 10159
PDF
by Yufan Zou
Int. J. Math. Syst. Sci. 2024 , 7(10);    7 Views
Abstract This paper explores the theoretical foundation of non-expansive mappings in fixed-point iteration and its specific applications in game theory. As a mapping that maintains or reduces the distance between elements, non-expansive mappings provide an effective mathematical tool for finding stable strategies in dynamic games through their inherent convergence properties. The article first introduces the basic concepts of fixed-point theory and defines non-expansive mappings, then analyzes their application in solving Nash equilibria in game theory, with a particular emphasis on the stability and efficiency of iterative methods in the solution process. Additionally, through mathematical modeling and case analysis, this study demonstrates the practical effects and potential applications of non-expansive mappings in multi-stage games and complex strategy updates. This research not only enhances the understanding of fixed-point iteration methods in both theory and practice but also offers new perspectives and methods for addressing high-dimensional strategy spaces in game theory.
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Open Access
Articles
Article ID: 10158
PDF
by Tao Xu, Jing Hu
Int. J. Math. Syst. Sci. 2024 , 7(10);    17 Views
Abstract Artificial intelligence has triggered a global wave of the times with its breakthrough intelligent technology features such as autonomous learning ability, self-attention, and reasoning ability, which has also led to a huge change in the demand for talents in the society, and various industries are inclined to the composite innovative and high-quality talents with cross-field and multi-disciplinary backgrounds, so that the reform of higher education curriculum empowered by artificial intelligence has become an inevitable trend. It is found that although many colleges and universities have gradually opened general education and professional education on artificial intelligence, the reform of higher education curriculum still faces various problems such as monotonous teaching mode, lagging teaching content, academic ethics and morality. In order to effectively deal with these problems, this paper provides corresponding suggestions from the perspective of expecting the joint efforts and close collaboration between universities and enterprises.
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More Articles>>

Announcements

 

The International Mathematical Union Five Awards ceremony was held at Aalto University

The International Mathematical Union Five Awards ceremony was held at Aalto University in Helsinki, Finland, on July 5, 2022. Four of the Fields Medal winners are:

Hugo Duminil-Copin | University of Geneva

June Huh | Princeton University

James Maynard | University of Oxford

Maryna Viazovska | EPFL in Switzerland

Posted: 2022-07-06 More...
 

European Mathematical Society 30th Anniversary Celebration

Posted: 2022-03-12 More...
 

The 8th Heidelberg Laureate Forum 2021 will be held soon

Posted: 2021-09-16 More...
 
More Announcements...