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Mathematics, Volume 12, Issue 21

November-1 2024 - 142 articles

Cover Story: High-dimensional sparse matrix data, like word-word co-occurrence counts and e-commerce item pairs, often have skewed non-negative values with many zeros. We predict item or user relevance using unknown dense vector representations. Our model employs zero-inflated Gamma random variables and cosine similarities. We estimate the unknown parameters with shared parameter alternating zero-inflated Gamma regression models (SA-ZIGs), considering canonical and log link models. We propose two parameter updating schemes and an algorithm for estimating parameters, as well as an analytical convergence analysis. Numerical studies show that a SA-ZIG with a learning rate adjustment performs well, while Fisher scoring without adjustment may fail to find the maximum likelihood estimate. View this paper
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Articles (142)

  • Article
  • Open Access
1 Citations
905 Views
15 Pages

31 October 2024

This paper investigates the qualitative properties of the solutions for neutral implicit stochastic Hilfer fractional differential equations involving Lévy noise with retarded and advanced arguments. The existence property of the solution of t...

  • Article
  • Open Access
3 Citations
3,525 Views
21 Pages

31 October 2024

Sentiment is employed in various fields, such as collecting web-based opinions for the formulation of governmental policies, measuring employee and customer satisfaction levels in business organizations, and measuring the sentiment of the public in p...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,898 Views
13 Pages

Time Parametrized Motion Planning

  • Stuart Taylor,
  • Carol Linton,
  • James Biggs and
  • William Holderbaum

31 October 2024

Time can be treated as a free parameter to isotropically stretch the tangent space. A trajectory, which matches the boundary conditions on its configuration, is adjusted so that velocity conditions are met. The modified trajectory is found by substit...

  • Article
  • Open Access
2 Citations
1,442 Views
19 Pages

BlockLoader: A Comprehensive Evaluation Framework for Blockchain Performance Under Various Workload Patterns

  • Gang Wang,
  • Yanfeng Zhang,
  • Chenhao Ying,
  • Qinnan Zhang,
  • Zhiyuan Peng,
  • Xiaohua Li and
  • Ge Yu

31 October 2024

Hyperledger Fabric is one of the most popular permissioned blockchain platforms widely adopted in enterprise blockchain solutions. To optimize and fully utilize the platform, it is desired to conduct a thorough performance analysis of Hyperledger Fab...

  • Article
  • Open Access
1 Citations
1,038 Views
13 Pages

30 October 2024

A common cause of deterioration in historic manuscripts is ink transparency or bleeding from the opposite page. Philologists and paleographers can significantly benefit from minimizing these interferences when attempting to decipher the original text...

  • Article
  • Open Access
4 Citations
1,316 Views
28 Pages

30 October 2024

This paper introduces a novel four-parameter discrete bivariate distribution, termed the bivariate discretized Fréchet–Weibull distribution (BDFWD), with marginals derived from the discretized Fréchet–Weibull distribution. S...

  • Article
  • Open Access
1,217 Views
18 Pages

Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an M[X]/M/S/0 Model

  • Luis Alberto Vásquez-Toledo,
  • Carlos González-Flores,
  • Miguel Lopez-Guerrero,
  • Alfonso Prieto-Guerrero,
  • José Alfredo Tirado-Méndez,
  • Ricardo Marcelín-Jiménez,
  • Enrique Rodriguez-Colina,
  • Michael Pascoe-Chalke and
  • Francisco R. Castillo-Soria

30 October 2024

Nowadays, efficient spectrum usage is one of the most important design principles to take into account in wireless communications due to the exponential growth of mobile devices. In that sense, solutions such as Non-Orthogonal Multiple Access (NOMA)...

  • Article
  • Open Access
735 Views
16 Pages

Construction of Akushsky Core Functions Without Critical Cores

  • Vladislav Lutsenko,
  • Mikhail Babenko and
  • Maxim Deryabin

30 October 2024

The residue number system is widely used in cryptography, digital signal processing, image processing systems, and other areas where high-performance computing is required. One of the main tools used in the residue number system is the Akushsky core...

  • Article
  • Open Access
1,420 Views
13 Pages

30 October 2024

The trust region method is an effective method for solving unconstrained optimization problems. Incorrectly updating the rules of the trust region radius will increase the number of iterations and affect the calculation efficiency. In order to obtain...

  • Article
  • Open Access
1 Citations
1,510 Views
20 Pages

Weighted Asymmetry Index: A New Graph-Theoretic Measure for Network Analysis and Optimization

  • Ali N. A. Koam,
  • Muhammad Faisal Nadeem,
  • Ali Ahmad and
  • Hassan A. Eshaq

30 October 2024

Graph theory is a crucial branch of mathematics in fields like network analysis, molecular chemistry, and computer science, where it models complex relationships and structures. Many indices are used to capture the specific nuances in these structure...

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Mathematics - ISSN 2227-7390