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  • Article
  • Open Access
13 Citations
89,381 Views
17 Pages

21 January 2019

The present work gathers an educational experience based on the application of the personalized Kumon Mathematics Method, carried out in the school year 2015–2016, in which 30,849 students and 230 teachers from several educational centers throu...

(This article belongs to the Special Issue New trends in Mathematics Learning)
  • Review
  • Open Access
304 Citations
68,027 Views
25 Pages

Review of Artificial Intelligence and Machine Learning Technologies: Classification, Restrictions, Opportunities and Challenges

  • Ravil I. Mukhamediev,
  • Yelena Popova,
  • Yan Kuchin,
  • Elena Zaitseva and ,
  • Almas Kalimoldayev,
  • Adilkhan Symagulov,
  • Vitaly Levashenko,
  • Farida Abdoldina,
  • Viktors Gopejenko and
  • Marina Yelis
  • + 7 authors+ 2 authors

22 July 2022

Artificial intelligence (AI) is an evolving set of technologies used for solving a wide range of applied issues. The core of AI is machine learning (ML)—a complex of algorithms and methods that address the problems of classification, clustering...

(This article belongs to the Special Issue Advances in Machine Learning and Applications)
  • Review
  • Open Access
138 Citations
61,178 Views
33 Pages

4 March 2025

Retrieval-augmented generation (RAG) leverages the strengths of information retrieval and generative models to enhance the handling of real-time and domain-specific knowledge. Despite its advantages, limitations within RAG components may cause halluc...

(This article belongs to the Special Issue Data Mining and Machine Learning in the Era of Big Knowledge and Large Models)
  • Review
  • Open Access
370 Citations
59,341 Views
19 Pages

10 March 2021

Learning mathematics has been considered as a great challenge for many students. The advancement of computer technologies, in particular, artificial intelligence (AI), provides an opportunity to cope with this problem by diagnosing individual student...

(This article belongs to the Special Issue Artificial Intelligence in Education)
  • Review
  • Open Access
321 Citations
50,001 Views
54 Pages

7 April 2023

Deep learning, which is a subfield of machine learning, has opened a new era for the development of neural networks. The auto-encoder is a key component of deep structure, which can be used to realize transfer learning and plays an important role in...

(This article belongs to the Special Issue Mathematical Methods and Applications for Artificial Intelligence and Computer Vision)
  • Systematic Review
  • Open Access
30 Citations
48,374 Views
51 Pages

25 October 2024

Load forecasting is an integral part of the power industries. Load-forecasting techniques should minimize the percentage error while prediction future demand. This will inherently help utilities have an uninterrupted power supply. In addition to that...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Review
  • Open Access
448 Citations
48,009 Views
41 Pages

2 August 2022

Synthetic data consists of artificially generated data. When data are scarce, or of poor quality, synthetic data can be used, for example, to improve the performance of machine learning models. Generative adversarial networks (GANs) are a state-of-th...

(This article belongs to the Special Issue New Insights in Machine Learning and Deep Neural Networks)
  • Article
  • Open Access
155 Citations
45,868 Views
40 Pages

A Review of Software for Spatial Econometrics in R

  • Roger Bivand,
  • Giovanni Millo and
  • Gianfranco Piras

2 June 2021

The software for spatial econometrics available in the R system for statistical computing is reviewed. The methods are illustrated in a historical perspective, highlighting the main lines of development and employing historically relevant datasets in...

(This article belongs to the Special Issue Spatial Statistics with Its Application)
  • Feature Paper
  • Article
  • Open Access
6 Citations
44,152 Views
20 Pages

Two-Step Fifth-Order Efficient Jacobian-Free Iterative Method for Solving Nonlinear Systems

  • Alicia Cordero,
  • Javier G. Maimó,
  • Antmel Rodríguez-Cabral and
  • Juan R. Torregrosa

24 October 2024

This article introduces a novel two-step fifth-order Jacobian-free iterative method aimed at efficiently solving systems of nonlinear equations. The method leverages the benefits of Jacobian-free approaches, utilizing divided differences to circumven...

(This article belongs to the Special Issue New Trends and Developments in Numerical Analysis: 2nd Edition)
  • Review
  • Open Access
595 Citations
44,007 Views
17 Pages

Mitigating the Multicollinearity Problem and Its Machine Learning Approach: A Review

  • Jireh Yi-Le Chan,
  • Steven Mun Hong Leow,
  • Khean Thye Bea,
  • Wai Khuen Cheng and ,
  • Seuk Wai Phoong,
  • Zeng-Wei Hong and
  • Yen-Lin Chen
  • + 2 authors+ 0 author

12 April 2022

Technologies have driven big data collection across many fields, such as genomics and business intelligence. This results in a significant increase in variables and data points (observations) collected and stored. Although this presents opportunities...

(This article belongs to the Special Issue Advances in Machine Learning, Optimization, and Control Applications)
  • Review
  • Open Access
72 Citations
43,411 Views
10 Pages

28 April 2021

In modern education nowadays, the use of game-based learning as a teaching and learning method is popular in all school subjects, including mathematics. There are numerous studies dealing with the influences of this teaching method on the students’ a...

(This article belongs to the Special Issue Active Methodologies for the Promotion of Mathematical Learning)
  • Article
  • Open Access
133 Citations
41,707 Views
17 Pages

28 July 2021

The current COVID-19 pandemic has affected every aspect of consumer behavior—their expenses, investments, and financial reserves, as well as their financial and social wellbeing. As a consequence of different restrictions, consumers and their shoppin...

(This article belongs to the Special Issue Business and Economics Mathematics)
  • Article
  • Open Access
25 Citations
40,600 Views
14 Pages

The Impact of Teamwork on an Organization’s Performance: A Cooperative Game’s Approach

  • Gholamreza Askari,
  • Nader Asghri,
  • Madjid Eshaghi Gordji,
  • Heshmatolah Asgari and ,
  • José António Filipe and
  • Adel Azar
  • + 1 author+ 0 author

16 October 2020

In this article, we study the impact of teamwork on an organization’s performance, considering a cooperative game’s framework. To promote teamwork culture, performance indexes were considered both individually and collectively, and by com...

(This article belongs to the Special Issue Application of Mathematical Methods to Economics, Management, Finance and Social Problems)
  • Review
  • Open Access
26 Citations
40,009 Views
33 Pages

Predicting Stock Price Changes Based on the Limit Order Book: A Survey

  • Ilia Zaznov,
  • Julian Kunkel,
  • Alfonso Dufour and
  • Atta Badii

9 April 2022

This survey starts with a general overview of the strategies for stock price change predictions based on market data and in particular Limit Order Book (LOB) data. The main discussion is devoted to the systematic analysis, comparison, and critical ev...

(This article belongs to the Topic Machine and Deep Learning)
  • Review
  • Open Access
95 Citations
39,341 Views
13 Pages

12 September 2022

Artificial Intelligence (AI) has been recently recognized as an essential aid for human traders. The advantages of the AI systems over human traders are that they can analyze an extensive data set from different sources in a fraction of a second and...

(This article belongs to the Special Issue Mathematical Aspects of Trading and Valuating Financial Assets)
  • Article
  • Open Access
6 Citations
37,996 Views
32 Pages

An Algorithm for Linearizing the Collatz Convergence

  • Alexander Rahn,
  • Eldar Sultanow,
  • Max Henkel,
  • Sourangshu Ghosh and
  • Idriss J. Aberkane

9 August 2021

The Collatz dynamic is known to generate a complex quiver of sequences over natural numbers for which the inflation propensity remains so unpredictable it could be used to generate reliable proof-of-work algorithms for the cryptocurrency industry; it...

  • Article
  • Open Access
22 Citations
37,926 Views
16 Pages

17 July 2020

This is a tutorial for the mathematical model of the spread of epidemic diseases. Beginning with the basic mathematics, we introduce the susceptible-infected-recovered (SIR) model. Subsequently, we present the numerical and exact analytical solutions...

(This article belongs to the Special Issue Mathematical Models in Epidemiology )
  • Article
  • Open Access
18 Citations
37,831 Views
15 Pages

28 November 2024

Patient satisfaction and operational efficiency are critical in healthcare. Long waiting times negatively affect patient experience and hospital performance. Addressing these issues requires accurate system time predictions and actionable strategies....

(This article belongs to the Special Issue Mathematical Methods for Decision Making and Optimization)
  • Review
  • Open Access
350 Citations
36,751 Views
39 Pages

5 June 2023

Chaos has been one of the most effective cryptographic sources since it was first used in image-encryption algorithms. This paper closely examines the development process of chaos-based image-encryption algorithms from various angles, including symme...

(This article belongs to the Special Issue Chaos-Based Secure Communication and Cryptography)
  • Article
  • Open Access
47 Citations
36,353 Views
14 Pages

23 December 2021

Student engagement is a multidimensional construct that predicts learning performance. However, student engagement receives limited attention, especially in mathematics. Thus, this study conducts a survey to determine the influence of student engagem...

  • Article
  • Open Access
121 Citations
36,095 Views
22 Pages

A Survey on Evaluation Metrics for Machine Translation

  • Seungjun Lee,
  • Jungseob Lee,
  • Hyeonseok Moon,
  • Chanjun Park and ,
  • Jaehyung Seo,
  • Sugyeong Eo,
  • Seonmin Koo and
  • Heuiseok Lim
  • + 3 authors+ 0 author

16 February 2023

The success of Transformer architecture has seen increased interest in machine translation (MT). The translation quality of neural network-based MT transcends that of translations derived using statistical methods. This growth in MT research has enta...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Review
  • Open Access
298 Citations
35,820 Views
15 Pages

Consistency Indices in Analytic Hierarchy Process: A Review

  • Sangeeta Pant,
  • Anuj Kumar,
  • Mangey Ram,
  • Yury Klochkov and
  • Hitesh Kumar Sharma

7 April 2022

A well-regarded as well as powerful method named the ‘analytic hierarchy process’ (AHP) uses mathematics and psychology for making and analysing complex decisions. This article aims to present a brief review of the consistency measure of...

(This article belongs to the Special Issue Biologically Inspired Computing)
  • Feature Paper
  • Article
  • Open Access
509 Citations
34,546 Views
23 Pages

23 January 2018

Solving differential equations of fractional (i.e., non-integer) order in an accurate, reliable and efficient way is much more difficult than in the standard integer-order case; moreover, the majority of the computational tools do not provide built-i...

(This article belongs to the Special Issue Fractional Calculus: Theory and Applications)
  • Article
  • Open Access
74 Citations
34,249 Views
42 Pages

23 May 2025

The pursuit of Artificial General Intelligence (AGI) demands AI systems that not only perceive but also reason in a human-like manner. While symbolic systems pioneered early breakthroughs in logic-based reasoning, such as MYCIN and DENDRAL, they suff...

(This article belongs to the Special Issue Advanced Applications of Deep Learning Methods: Interdisciplinary Perspectives)
  • Article
  • Open Access
184 Citations
33,998 Views
20 Pages

25 September 2019

Bitcoin has recently received a lot of attention from the media and the public due to its recent price surge and crash. Correspondingly, many researchers have investigated various factors that affect the Bitcoin price and the patterns behind its fluc...

(This article belongs to the Special Issue Hybrid Machine Learning Techniques Applied in Real Engineering Applications)
  • Review
  • Open Access
194 Citations
33,433 Views
31 Pages

Traffic Sign Detection and Recognition Using YOLO Object Detection Algorithm: A Systematic Review

  • Marco Flores-Calero,
  • César A. Astudillo,
  • Diego Guevara,
  • Jessica Maza and ,
  • Bryan S. Lita,
  • Bryan Defaz,
  • Juan S. Ante,
  • David Zabala-Blanco and
  • José María Armingol Moreno
  • + 4 authors+ 0 author

17 January 2024

Context: YOLO (You Look Only Once) is an algorithm based on deep neural networks with real-time object detection capabilities. This state-of-the-art technology is widely available, mainly due to its speed and precision. Since its conception, YOLO has...

(This article belongs to the Special Issue Advanced Methods and Applications with Deep Learning in Object Recognition)
  • Systematic Review
  • Open Access
126 Citations
32,941 Views
27 Pages

A Systematic Review of Consensus Mechanisms in Blockchain

  • Sisi Zhou,
  • Kuanching Li,
  • Lijun Xiao,
  • Jiahong Cai and ,
  • Wei Liang and
  • Arcangelo Castiglione
  • + 1 author+ 0 author

11 May 2023

Since the birth of Bitcoin, blockchain has shifted from a critical cryptocurrency technology to an enabling technology. Due to its immutability and trustworthiness, blockchain has revolutionized many fields requiring credibility and high-quality data...

(This article belongs to the Special Issue Advances in Business Intelligence: Theoretical and Empirical Issues)
  • Review
  • Open Access
280 Citations
32,913 Views
28 Pages

Ecological Diversity: Measuring the Unmeasurable

  • Aisling J. Daly,
  • Jan M. Baetens and
  • Bernard De Baets

10 July 2018

Diversity is a concept central to ecology, and its measurement is essential for any study of ecosystem health. But summarizing this complex and multidimensional concept in a single measure is problematic. Dozens of mathematical indices have been prop...

(This article belongs to the Special Issue Progress in Mathematical Ecology)
  • Article
  • Open Access
138 Citations
32,746 Views
37 Pages

Financial Technology: Review of Trends, Approaches and Management

  • Emilio Abad-Segura,
  • Mariana-Daniela González-Zamar,
  • Eloy López-Meneses and
  • Esteban Vázquez-Cano

10 June 2020

Technological innovation and digitization have posed a challenge to the financial sector globally. Fintech is the term used to designate the application of new technologies to financial services. The aim of the study is to analyse this research subje...

(This article belongs to the Special Issue Mathematical Analysis in Economics and Management)
  • Review
  • Open Access
256 Citations
32,522 Views
52 Pages

Machine Learning (ML) in Medicine: Review, Applications, and Challenges

  • Amir Masoud Rahmani,
  • Efat Yousefpoor,
  • Mohammad Sadegh Yousefpoor,
  • Zahid Mehmood and ,
  • Amir Haider,
  • Mehdi Hosseinzadeh and
  • Rizwan Ali Naqvi
  • + 2 authors+ 0 author

21 November 2021

Today, artificial intelligence (AI) and machine learning (ML) have dramatically advanced in various industries, especially medicine. AI describes computational programs that mimic and simulate human intelligence, for example, a person’s behavio...

  • Review
  • Open Access
120 Citations
32,204 Views
28 Pages

A Review on Text Steganography Techniques

  • Mohammed Abdul Majeed,
  • Rossilawati Sulaiman,
  • Zarina Shukur and
  • Mohammad Kamrul Hasan

8 November 2021

There has been a persistent requirement for safeguarding documents and the data they contain, either in printed or electronic form. This is because the fabrication and faking of documents is prevalent globally, resulting in significant losses for ind...

(This article belongs to the Special Issue Mathematical Mitigation Techniques for Network and Cyber Security)
  • Review
  • Open Access
254 Citations
31,162 Views
26 Pages

Transformation and Linearization Techniques in Optimization: A State-of-the-Art Survey

  • Mohammad Asghari,
  • Amir M. Fathollahi-Fard,
  • S. M. J. Mirzapour Al-e-hashem and
  • Maxim A. Dulebenets

17 January 2022

To formulate a real-world optimization problem, it is sometimes necessary to adopt a set of non-linear terms in the mathematical formulation to capture specific operational characteristics of that decision problem. However, the use of non-linear term...

(This article belongs to the Special Issue Operations Research and Optimization)
  • Article
  • Open Access
42 Citations
31,117 Views
25 Pages

16 November 2021

The current climate change, unlike previous ones, is caused by human activity and is characterized by an unprecedented rate of increase in the near-surface temperature and an increase in the frequency and intensity of hazardous weather and climate ev...

(This article belongs to the Special Issue Modeling and Numerical Analysis of Energy and Environment 2021)
  • Review
  • Open Access
140 Citations
30,767 Views
37 Pages

Survey of Optimization Algorithms in Modern Neural Networks

  • Ruslan Abdulkadirov,
  • Pavel Lyakhov and
  • Nikolay Nagornov

26 May 2023

The main goal of machine learning is the creation of self-learning algorithms in many areas of human activity. It allows a replacement of a person with artificial intelligence in seeking to expand production. The theory of artificial neural networks,...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
8 Citations
30,704 Views
34 Pages

The Efficient Market Hypothesis (EMH) states that all available information is immediately reflected in the price of any asset or financial instrument, so that it is impossible to predict its future values, making it follow a pure stochastic process....

(This article belongs to the Special Issue On Interdisciplinary Modelling and Numerical Simulation in the Realm of Physics & Engineering)
  • Article
  • Open Access
21 Citations
30,469 Views
19 Pages

The Bitcoin Halving Cycle Volatility Dynamics and Safe Haven-Hedge Properties: A MSGARCH Approach

  • Jireh Yi-Le Chan,
  • Seuk Wai Phoong,
  • Seuk Yen Phoong,
  • Wai Khuen Cheng and
  • Yen-Lin Chen

30 January 2023

This paper introduces a unique perspective towards Bitcoin safe haven and hedge properties through the Bitcoin halving cycle. The Bitcoin halving cycle suggests that Bitcoin price movement follows specific sequences, and Bitcoin price movement is ind...

(This article belongs to the Special Issue From COVID-19 to Resilience: Quantitative Methods in Economics and Business)
  • Review
  • Open Access
311 Citations
30,340 Views
23 Pages

29 January 2023

In the age of artificial intelligence, the best approach to handling huge amounts of data is a tremendously motivating and hard problem. Among machine learning models, stochastic gradient descent (SGD) is not only simple but also very effective. This...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
172 Citations
29,609 Views
15 Pages

Stock Price Forecasting with Deep Learning: A Comparative Study

  • Tej Bahadur Shahi,
  • Ashish Shrestha,
  • Arjun Neupane and
  • William Guo

27 August 2020

The long short-term memory (LSTM) and gated recurrent unit (GRU) models are popular deep-learning architectures for stock market forecasting. Various studies have speculated that incorporating financial news sentiment in forecasting could produce a b...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Review
  • Open Access
49 Citations
29,574 Views
32 Pages

Artificial Intelligence in Business-to-Customer Fashion Retail: A Literature Review

  • Aitor Goti,
  • Leire Querejeta-Lomas,
  • Aitor Almeida,
  • José Gaviria de la Puerta and
  • Diego López-de-Ipiña

30 June 2023

Many industries, including healthcare, banking, the auto industry, education, and retail, have already undergone significant changes because of artificial intelligence (AI). Business-to-Customer (B2C) e-commerce has considerably increased the use of...

(This article belongs to the Special Issue Advanced Machine Learning Methods for Image Processing, Perception and Understanding)
  • Review
  • Open Access
195 Citations
29,401 Views
38 Pages

6 February 2023

Despite the availability and ease of collecting a large amount of free, unlabeled data, the expensive and time-consuming labeling process is still an obstacle to labeling a sufficient amount of training data, which is essential for building supervise...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
103 Citations
29,307 Views
35 Pages

SNC_Net: Skin Cancer Detection by Integrating Handcrafted and Deep Learning-Based Features Using Dermoscopy Images

  • Ahmad Naeem,
  • Tayyaba Anees,
  • Mudassir Khalil,
  • Kiran Zahra and ,
  • Rizwan Ali Naqvi and
  • Seung-Won Lee
  • + 1 author+ 0 author

29 March 2024

The medical sciences are facing a major problem with the auto-detection of disease due to the fast growth in population density. Intelligent systems assist medical professionals in early disease detection and also help to provide consistent treatment...

(This article belongs to the Section E3: Mathematical Biology)
  • Review
  • Open Access
34 Citations
29,275 Views
30 Pages

Capital Structure Theory: Past, Present, Future

  • Peter Brusov and
  • Tatiana Filatova

26 January 2023

The purpose of this review is to analyze all existing theories of the capital structure (with their advantages and disadvantages) in order to understand all aspects of the problem and make correct management decisions in practice. The role of the cap...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
142 Citations
28,941 Views
15 Pages

Financial Time Series Forecasting with the Deep Learning Ensemble Model

  • Kaijian He,
  • Qian Yang,
  • Lei Ji,
  • Jingcheng Pan and
  • Yingchao Zou

20 February 2023

With the continuous development of financial markets worldwide to tackle rapid changes such as climate change and global warming, there has been increasing recognition of the importance of financial time series forecasting in financial market operati...

(This article belongs to the Special Issue Mathematical Modeling and Machine Learning with Application to Economics and Finance)
  • Article
  • Open Access
31 Citations
27,944 Views
24 Pages

Factors Influencing Mathematics Achievement of University Students of Social Sciences

  • Alenka Brezavšček,
  • Janja Jerebic,
  • Gregor Rus and
  • Anja Žnidaršič

1 December 2020

The paper aims to investigate the main factors influencing the mathematics achievement of social sciences university students in Slovenia. A conceptual model was derived where three categories of variables were taken into account: attitude towards ma...

(This article belongs to the Special Issue Active Methodologies for the Promotion of Mathematical Learning)
  • Article
  • Open Access
7 Citations
27,339 Views
20 Pages

Customer Segmentation as a Revenue Generator for Profit Purposes

  • Tchai Tavor,
  • Limor Dina Gonen and
  • Uriel Spiegel

25 October 2023

The role of market segmentation in shaping pricing strategies for new products is critical. This study highlights the significance of tailoring pricing decisions in meeting the unique needs, preferences, and price sensitivities of different consumer...

  • Article
  • Open Access
27 Citations
27,260 Views
40 Pages

22 January 2025

We review recent articles that focus on the main issues identified in high-frequency financial data analysis. The issues to be addressed include nonstationarity, low signal-to-noise ratios, asynchronous data, imbalanced data, and intraday seasonality...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
32 Citations
26,211 Views
21 Pages

12 December 2019

This paper investigates the effect of computing the bearing capacity through different methods on the optimum construction cost of reinforced concrete retaining walls (RCRWs). Three well-known methods of Meyerhof, Hansen, and Vesic are used for the c...

(This article belongs to the Special Issue Mathematical Physics II)
  • Article
  • Open Access
148 Citations
26,055 Views
13 Pages

The NFT Hype: What Draws Attention to Non-Fungible Tokens?

  • Christian Pinto-Gutiérrez,
  • Sandra Gaitán,
  • Diego Jaramillo and
  • Simón Velasquez

22 January 2022

Non-fungible tokens (NFTs) can be used to represent ownership of digital art or any other unique digital item where ownership is recorded in smart contracts on a blockchain. NFTs have recently received enormous attention from both cryptocurrency inve...

(This article belongs to the Special Issue Mathematics, Cryptocurrencies and Blockchain Technology)
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Mathematics - ISSN 2227-7390