New Advance of Data Driven Optimization and AI—in Honor of Prof.Dr. Kai-Tai Fang

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: closed (20 September 2023) | Viewed by 3630

Special Issue Editor


E-Mail Website
Guest Editor
Division of Science and Technology, BNU-HKBU United International College, Zhuhai 519088, China
Interests: big data analytics; finTech; sustainability

Special Issue Information

Dear Colleagues,

Artificial intelligence (AI) is a hot research field in recent years. The main fields of its development include deep learning, natural language processing, computer vision, intelligent robots, automatic programming, data mining, etc. The research in these fields is inseparable from the support of mathematics and statistics. AI is actually a field that closely combines mathematics, algorithm theory, and engineering practice, and its algorithms are the embodiment of mathematics, probability theory, statistics, and various mathematical theories. In simple terms, intelligence is the ability to simulate a human being, that is, in a given environment, it can improve its ability to solve problems by interacting with the environment by itself. A machine or software used to simulate this kind of intelligence is called machine learning. From the mathematical dimension, machine learning represents an optimization problem in a function space or parameter space. On the one hand, one of the foundations of AI is mathematics, so if AI wants to achieve stability, it must first solve the basic problems of mathematics; on the other hand, the development of AI has also produced important research fields for mathematics. This Special Issue focuses on the mathematics and statistics foundation and application of AI.

The topics are listed, but not limited, as follows:

  • Unification algorithms, calculi and implementations;
  • Equational unification and unification modulo theories;
  • Unification in modal, fuzzy, temporal and description logics;
  • Anti-unification/generalization;
  • Conceptual knowledge acquisition;
  • Data and text mining;
  • Optimal design for security and privacy;
  • Approximation of the number of neurons in deep neural network based on functional analysis;
  • Symmetry in neural networks based on group theory;
  • The relationship between input and output of neural network based on differential manifold.

Dr. Zongwei Luo
Guest Editor

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 100 words) can be sent to the Editorial Office for announcement on this website.

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.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 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

  • deep learning
  • neural network
  • data mining
  • uniform modalities
  • functional analysis
  • group theory
  • differential manifold

Published Papers (3 papers)

Order results
Result details
Select all
Export citation of selected articles as:

Research

23 pages, 7427 KiB  
Article
Probabilistic Slope Stability Analysis of Mount St. Helens Using Scoops3D and a Hybrid Intelligence Paradigm
by Sumit Kumar, Shiva Shankar Choudhary, Avijit Burman, Raushan Kumar Singh, Abidhan Bardhan and Panagiotis G. Asteris
Mathematics 2023, 11(18), 3809; https://doi.org/10.3390/math11183809 - 5 Sep 2023
Cited by 1 | Viewed by 880
Abstract
In the past, numerous stratovolcanoes worldwide witnessed catastrophic flank collapses. One of the greatest risks associated with stratovolcanoes is a massive rock failure. On 18 May 1980, we witnessed a rock slope failure due to a volcano eruption, and a 2185.60 m high [...] Read more.
In the past, numerous stratovolcanoes worldwide witnessed catastrophic flank collapses. One of the greatest risks associated with stratovolcanoes is a massive rock failure. On 18 May 1980, we witnessed a rock slope failure due to a volcano eruption, and a 2185.60 m high rock slope of Mount St. Helens was collapsed. Thus, from the serviceability perspective, this work presents an effective computational technique to perform probabilistic analyses of Mount St. Helens situated in Washington, USA. Using the first-order second-moment method, probability theory and statistics were employed to map the uncertainties in rock parameters. Initially, Scoops3D was used to perform slope stability analysis followed by probabilistic evaluation using a hybrid computational model of artificial neural network (ANN) and firefly algorithm (FF), i.e., ANN-FF. The performance of the ANN-FF model was examined and compared with that of conventional ANN and other hybrid ANNs built using seven additional meta-heuristic algorithms. In the validation stage, the proposed ANN-FF model was the best-fitted hybrid model with R2 = 0.9996 and RMSE = 0.0042. Under seismic and non-seismic situations, the reliability index and the probability of failure were estimated. The suggested method allows for an effective assessment of the failure probability of Mount St. Helens under various earthquake circumstances. The developed MATLAB model is also attached as a supplementary material for future studies. Full article
Show Figures

Figure 1

16 pages, 4021 KiB  
Article
Information Spreading Considering Repeated Judgment with Non-Recursion
by Yufang Fu, Bin Cao, Wei Zhang and Zongwei Luo
Mathematics 2022, 10(24), 4688; https://doi.org/10.3390/math10244688 - 10 Dec 2022
Cited by 1 | Viewed by 829
Abstract
This paper investigates an information spreading mechanism under repeated judgment. In a generalized model, we prove that given a necessary condition, information under repeated judgment can sustain continuous spreading. Furthermore, we generalize the aforementioned spreading model on heterogeneous networks and calculate the analytic [...] Read more.
This paper investigates an information spreading mechanism under repeated judgment. In a generalized model, we prove that given a necessary condition, information under repeated judgment can sustain continuous spreading. Furthermore, we generalize the aforementioned spreading model on heterogeneous networks and calculate the analytic solution of the final state, in which spreaders finally have a stable scale to ensure that information can continuously spread when repeated judgment of information takes place. Moreover, the simulation results show that the more neighbors the spreaders have, the quicker the information vanishes. This finding suggests that in terms of information spreading under repeated judgement, it is not better to have more neighbors, quite contrary to common opinion. Full article
Show Figures

Figure 1

9 pages, 231 KiB  
Article
Blockchain Consensus Mechanism Based on Quantum Teleportation
by Xiaojun Wen, Yongzhi Chen, Wei Zhang, Zoe L. Jiang and Junbin Fang
Mathematics 2022, 10(14), 2385; https://doi.org/10.3390/math10142385 - 7 Jul 2022
Cited by 6 | Viewed by 1298
Abstract
The consensus mechanism is the core secret of the blockchain network. However, the consensus mechanism of the classical blockchain is based on the classical cryptosystem, which is based on the problem of computational complexity. With the improvement of computing power, the security of [...] Read more.
The consensus mechanism is the core secret of the blockchain network. However, the consensus mechanism of the classical blockchain is based on the classical cryptosystem, which is based on the problem of computational complexity. With the improvement of computing power, the security of this cryptosystem is being threatened. In addition, the consensus mechanism of classic blockchain also has the following disadvantages: serious waste of computing resources and energy; the inability to withstand a 51% attack; low system throughput and large delay. Based on quantum teleportation technology and the randomness of quantum measurement, a consensus mechanism for a quantum blockchain system is proposed. Based on the physical properties of quantum mechanics, this scheme has the unconditional security of quantum cryptography. This new consensus mechanism does not involve a great deal of computing resources and hence has a lower energy consumption, shorter time delay and higher throughput. Furthermore, the new consensus mechanism could withstand a 51% attack. Full article
Back to TopTop