Skip Content
You are currently on the new version of our website. Access the old version .

Mathematics, Volume 12, Issue 11

2024 June-1 - 166 articles

Cover Story: Topic modeling is a widely used tool in text analysis, aiming to extract meaningful 'topics' from a collection of documents. This paper investigates the optimal statistical guarantees for estimating a topic model. The authors introduce a new normalized word count matrix and provide a sharp entry-wise eigenvector analysis for this matrix. These results are used to enhance an existing spectral algorithm, Topic-SCORE, for topic modeling. The authors demonstrate that the error rate of the enhanced algorithm is minimax optimal across the entire parameter regime of interest. Compared to existing results, the improvement is particularly significant in the challenging regime where all documents are short. View this paper
  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.

Articles (166)

  • Article
  • Open Access
3 Citations
1,401 Views
16 Pages

31 May 2024

Granular computing (GrC) is a methodology for reducing the complexity of problem solving and includes two basic aspects: granulation and granular-based computing. Strongly connected components (SCCs) are a significant subgraph structure in digraphs....

  • Article
  • Open Access
14 Citations
1,518 Views
23 Pages

31 May 2024

Integral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions. These new inequalities help in f...

  • Article
  • Open Access
2 Citations
1,712 Views
21 Pages

31 May 2024

The real-time sharing of traffic data can offer improved services to users and timely respond to environmental changes. However, this data often involves individuals’ sensitive information, raising substantial privacy concerns. It is imperative...

  • Article
  • Open Access
3 Citations
1,961 Views
25 Pages

31 May 2024

In the modern world, the evolution of the internet supports the automation of several tasks, such as communication, education, sports, etc. Conversely, it is prone to several types of attacks that disturb data transfer in the network. Efficient attac...

  • Article
  • Open Access
3 Citations
9,455 Views
16 Pages

Stochastic Patterns of Bitcoin Volatility: Evidence across Measures

  • Georgia Zournatzidou,
  • Dimitrios Farazakis,
  • Ioannis Mallidis and
  • Christos Floros

31 May 2024

This research conducted a thorough investigation of Bitcoin volatility patterns using three interrelated methodologies: R/S investigation, simple moving average (SMA), and the relative strength index (RSI). The paper jointly employes the above techni...

  • Article
  • Open Access
3 Citations
1,460 Views
17 Pages

31 May 2024

Motor fault diagnosis is an important task in the operational monitoring of electrical machines in manufacturing. This study proposes an effective bearing fault diagnosis model for electrical machinery based on machine learning techniques. The propos...

  • Article
  • Open Access
7 Citations
4,130 Views
23 Pages

31 May 2024

Medical data sharing is pivotal in enhancing accessibility and collaboration among healthcare providers, researchers, and institutions, ultimately leading to enhanced patient outcomes and more efficient healthcare delivery. However, due to the sensit...

  • Article
  • Open Access
10 Citations
3,519 Views
23 Pages

31 May 2024

Direct yaw moment control (DYC) can effectively improve the yaw stability of four-wheel distributed drive electric vehicles (4W-DDEVs) under extreme conditions, which has become an indispensable part of active safety control for 4W-DDEVs. This study...

  • Article
  • Open Access
1,369 Views
14 Pages

31 May 2024

Considering the situation of limited resources in practical applications, it is significant to design control algorithms with high resource utilization rates for a class of nonlinear systems subject to mismatched disturbances. In contrast to common r...

  • Article
  • Open Access
8 Citations
1,582 Views
16 Pages

30 May 2024

Because of the vast ocean area and the large amount of high-resolution image data, ship detection and data processing have become more difficult. These difficulties can be solved using the artificial intelligence interpretation method. The efficient...

  • Article
  • Open Access
8 Citations
3,945 Views
16 Pages

30 May 2024

This paper studies the multi-trip vehicle routing problem with multiple time windows, which extends the multi-trip vehicle routing problem by deciding not only the sequence of customers that each vehicle serves but also the service time window of eac...

  • Article
  • Open Access
1,228 Views
14 Pages

30 May 2024

While a gambler may occasionally win, continuous gambling inevitably results in a net loss to the casino. This study experimentally demonstrates the profitability of a particularly deceptive casino game: a two-armed antique Mills Futurity slot machin...

  • Article
  • Open Access
3 Citations
1,451 Views
16 Pages

Testing Multivariate Normality Based on Beta-Representative Points

  • Yiwen Cao,
  • Jiajuan Liang,
  • Longhao Xu and
  • Jiangrui Kang

30 May 2024

Testing multivariate normality in high-dimensional data analysis has been a long-lasting topic in the area of goodness of fit. Numerous methods for this purpose can be found in the literature. Reviews on different methods given by influential researc...

  • Article
  • Open Access
1,621 Views
12 Pages

30 May 2024

In this paper, we apply a result of the classification of a compact cohomogeneity one Riemannian manifold with a compact Lie group G to obtain a classification of compact cohomogeneity one locally conformal Kähler manifolds. In particular, we pr...

  • Article
  • Open Access
19 Citations
6,928 Views
17 Pages

30 May 2024

Oversampling techniques are widely used to rebalance imbalanced datasets. However, most of the oversampling methods may introduce noise and fuzzy boundaries for dataset classification, leading to the overfitting phenomenon. To solve this problem, we...

  • Article
  • Open Access
7 Citations
2,742 Views
49 Pages

30 May 2024

The Snake Optimizer (SO) is an advanced metaheuristic algorithm for solving complicated real-world optimization problems. However, despite its advantages, the SO faces certain challenges, such as susceptibility to local optima and suboptimal converge...

  • Article
  • Open Access
2 Citations
1,616 Views
12 Pages

30 May 2024

Split quaternions have various applications in mathematics, computer graphics, robotics, physics, and so on. In this paper, two useful, real representations of a split quaternion matrix are proposed. Based on this, we derive their fundamental propert...

  • Article
  • Open Access
1,129 Views
18 Pages

On Some Properties of Trajectories of Non-Smooth Vector Fields

  • Victor Zvyagin,
  • Vladimir Orlov and
  • Andrey Zvyagin

30 May 2024

In this paper, we study the properties of trajectories of systems of ordinary differential equations generated by the velocity field of a moving incompressible viscoelastic fluid with memory along the trajectories in a domain with multiple boundary c...

  • Article
  • Open Access
3 Citations
1,780 Views
20 Pages

30 May 2024

Team score orienteering, a challenging and interesting sport, is gradually becoming known by the majority of sports enthusiasts. Integrating team score orienteering with the Internet can enhance the interactive experience for athletes. However, this...

  • Article
  • Open Access
3 Citations
1,418 Views
12 Pages

30 May 2024

This paper deals with the ruin problem of an insurance company investing its capital reserve in a risky asset with the price dynamics given by a conditional geometric Brownian motion whose parameters depend on a Markov process describing random varia...

  • Article
  • Open Access
2 Citations
3,876 Views
28 Pages

30 May 2024

Mission scheduling is an essential function of the management control of remote-sensing satellite application systems. With the continuous development of remote-sensing satellite applications, mission scheduling faces significant challenges. Existing...

  • Article
  • Open Access
8 Citations
5,386 Views
33 Pages

30 May 2024

The vehicle routing problem with time windows (VRPTW) remains a formidable challenge, due to the intricate constraints of vehicle capacity and time windows. As a result, an algorithm tailored for this problem must demonstrate robust search capabiliti...

  • Article
  • Open Access
4 Citations
1,860 Views
24 Pages

30 May 2024

The prediction of the ultimate bearing capacity (UBC) of composite foundations represents a critical application of test monitoring data within the field of intelligent geotechnical engineering. This paper introduces an effective combinational predic...

  • Article
  • Open Access
3 Citations
1,845 Views
15 Pages

30 May 2024

This paper aims to discuss the implementation of data analysis and information management for elderly nursing care from a data-driven perspective. It addresses the current challenges of in-home caregivers, providing a basis for decision making in ana...

  • Article
  • Open Access
4 Citations
1,713 Views
21 Pages

30 May 2024

In this paper, an approach is proposed for assessing the performance of experts in the group from two perspectives: (1) individual consistencies and (2) deviations from the group decision. The quality of performance of the experts is based on combini...

  • Article
  • Open Access
7 Citations
2,524 Views
15 Pages

30 May 2024

This paper proposes an improved dual-center particle swarm optimization (IDCPSO) algorithm which can effectively improve some inherent defects of particle swarm optimization algorithms such as being prone to premature convergence and low optimization...

  • Article
  • Open Access
1,986 Views
19 Pages

29 May 2024

Transformer has emerged as one of the modern neural networks that has been applied in numerous applications. However, transformers’ large and deep architecture makes them computationally and memory-intensive. In this paper, we propose the block...

  • Article
  • Open Access
1,768 Views
19 Pages

Integral Cryptanalysis of Reduced-Round IIoTBC-A and Full IIoTBC-B

  • Fen Liu,
  • Zhe Sun,
  • Xi Luo,
  • Chao Li and
  • Junping Wan

29 May 2024

This paper delves into the realm of cryptographic analysis by employing mixed-integer linear programming (MILP), a powerful tool for automated cryptanalysis. Building on this foundation, we apply the division property method alongside MILP to conduct...

  • Article
  • Open Access
3 Citations
1,919 Views
17 Pages

An FTwNB Shield: A Credit Risk Assessment Model for Data Uncertainty and Privacy Protection

  • Shaona Hua,
  • Chunying Zhang,
  • Guanghui Yang,
  • Jinghong Fu,
  • Zhiwei Yang,
  • Liya Wang and
  • Jing Ren

29 May 2024

Credit risk assessment is an important process in bank financial risk management. Traditional machine-learning methods cannot solve the problem of data islands and the high error rate of two-way decisions, which is not conducive to banks’ accur...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,498 Views
26 Pages

29 May 2024

The complexity of historical data in financial markets and the uncertainty of the future, as well as the idea that investors always expect the least risk and the greatest return. This study presents a multi-period fractional portfolio model in a fuzz...

  • Article
  • Open Access
3 Citations
1,159 Views
18 Pages

29 May 2024

Imaging hyperspectral technology is becoming popular in agriculture to provide detailed information on crop growth. In this work, we propose an estimation of rapeseed pod’s water content model and identification of maturity levels (green, yello...

  • Article
  • Open Access
2,525 Views
13 Pages

Attribute Sampling Plan for Submitted Lots Based on Prior Information and Bayesian Approach

  • Jing Zhao,
  • Fengyun Zhang,
  • Xuan Zhang,
  • Yuping Hu and
  • Wenxing Ding

29 May 2024

An acceptance sampling plan is a method used to make a decision about acceptance or rejection of a product based on adherence to a standard. Meanwhile, prior information, such as the process capability index (PCI), has been applied in different manuf...

  • Article
  • Open Access
1 Citations
921 Views
14 Pages

29 May 2024

In this paper, we create a new subclass of convex functions given with tangent functions applying the combination of Babalola operators and Binomial series. Moreover, we obtain several important geometric results, including sharp coefficient bounds,...

  • Article
  • Open Access
1 Citations
1,101 Views
20 Pages

29 May 2024

Health status detection for motor drive systems includes detecting the working status of the motor and diagnosing open-circuit (OC) faults in the inverter. This paper proposes a generalized-layer-added principle component analysis (GPCA) to determine...

  • Article
  • Open Access
3 Citations
1,471 Views
16 Pages

Applications of Structural Nabla Derivatives on Time Scales to Dynamic Equations

  • Amin Benaissa Cherif,
  • Bouharket Bendouma,
  • Khaled Zennir,
  • Svetlin G. Georgiev,
  • Keltoum Bouhali and
  • Taha Radwan

29 May 2024

We present here more general concepts of Hausdorff derivatives (structural Nabla derivatives) on a timescale. We examine structural Nabla integration on temporal scales. Using the fixed-point theorem, we establish adequate criteria for the question o...

  • Article
  • Open Access
2 Citations
1,369 Views
20 Pages

29 May 2024

The supervisory control of Petri nets aims to enforce the undesired behavior as unreachable by designing a set of control places. This work presents a set cover approach to design maximally permissive supervisors. For each first-met bad marking, an i...

  • Article
  • Open Access
1 Citations
1,633 Views
24 Pages

29 May 2024

Simulating the probability of type I error is a powerful statistical tool that allows confirming if the statistical test achieves the established nominal level. However, its computational implementation has the drawback of significantly long executio...

  • Article
  • Open Access
3 Citations
1,687 Views
23 Pages

29 May 2024

Traditional visual detection methods that employ image data are often unstable due to environmental influences like lighting conditions. However, microfiber spectrometers are capable of capturing the specific wavelength characteristics of tail coal s...

  • Article
  • Open Access
3 Citations
3,839 Views
18 Pages

29 May 2024

The compound classification strategies addressed in this study encounter challenges related to either low efficiency or accuracy. Precise classification of chemical compounds from SMILES symbols holds significant importance in domains such as drug di...

  • Article
  • Open Access
1 Citations
1,373 Views
25 Pages

28 May 2024

The aim of this paper is to obtain the sub-Riemannian properties of the roto-translation group RT. At the same time, we compute the sub-Riemannian limits of Gaussian curvature associated with two kinds of canonical connections for a C2-smooth surface...

  • Feature Paper
  • Article
  • Open Access
5,109 Views
41 Pages

28 May 2024

Topic modeling is a widely utilized tool in text analysis. We investigate the optimal rate for estimating a topic model. Specifically, we consider a scenario with n documents, a vocabulary of size p, and document lengths at the order N. When Nc&m...

  • Article
  • Open Access
6 Citations
4,088 Views
18 Pages

28 May 2024

This study aims to effectively support decision-makers in evaluating leading e-commerce companies in Vietnam from a sustainability perspective. In addition, this study evaluates and analyzes criteria that affect the performance of e-commerce companie...

  • Article
  • Open Access
5 Citations
7,085 Views
29 Pages

28 May 2024

This study aims to highlight the importance of a systematic approach to process capability assessment and the importance of following a sequence of steps. Statistical process control provides several different ways of assessing process capability. Th...

  • Article
  • Open Access
3 Citations
4,426 Views
39 Pages

Weight Vector Definition for MOEA/D-Based Algorithms Using Augmented Covering Arrays for Many-Objective Optimization

  • Carlos Cobos,
  • Cristian Ordoñez,
  • Jose Torres-Jimenez,
  • Hugo Ordoñez and
  • Martha Mendoza

28 May 2024

Many-objective optimization problems are today ever more common. The decomposition-based approach stands out among the evolutionary algorithms used for their solution, with MOEA/D and its variations playing significant roles. MOEA/D variations seek t...

  • Article
  • Open Access
1 Citations
1,645 Views
16 Pages

28 May 2024

In this work, we developed, validated, and analysed the behaviour of a compartmental model of COVID-19 transmission in Saudi Arabia. The population was structured into four classes: susceptible (S), exposed (E), infectious (I), and removed (R) indivi...

  • Article
  • Open Access
17 Citations
5,378 Views
15 Pages

28 May 2024

As a type of financial derivative, the price fluctuation of futures is influenced by a multitude of factors, including macroeconomic conditions, policy changes, and market sentiment. The interaction of these factors makes the future trend become comp...

  • Article
  • Open Access
3 Citations
1,682 Views
13 Pages

28 May 2024

This paper examines the possibility of controlling the outcome of measured (flat space-time) relativistic effects, such as time dilation or length contractions, using pure rotations and their nontrivial interactions with Lorentz boosts in the isometr...

  • Article
  • Open Access
2,248 Views
13 Pages

28 May 2024

After a major debt crisis occurs in a listed company, the stock prices of related enterprises may also fluctuate sharply, resulting in the spread of debt risk to more enterprises. Taking the stocks of listed companies as network nodes, we constructed...

  • Article
  • Open Access
1,275 Views
15 Pages

27 May 2024

The beta-logarithmic function substantially generalizes the standard beta function, which is widely recognized for its significance in many applications. This article is devoted to the study of a generalization of the classical beta-logarithmic funct...

of 4

Get Alerted

Add your email address to receive forthcoming issues of this journal.

XFacebookLinkedIn
Mathematics - ISSN 2227-7390