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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)

  • Review
  • Open Access
1 Citations
1,792 Views
11 Pages

30 October 2024

This article is a shortened review of previous results obtained by the author. The advantages of describing the geometric nature of the physical properties of the early universe using the Clifford algebra approach are demonstrated. A geometric repres...

  • Article
  • Open Access
1,777 Views
14 Pages

Effect of an Applied Magnetic Field on Joule Heating-Induced Thermal Convection

  • Anupam M. Hiremath,
  • Harunori N. Yoshikawa and
  • Innocent Mutabazi

30 October 2024

Thermal convection induced by internal heating appears in different natural situations and technological applications with different internal sources of heat (e.g., radiation, electric or magnetic fields, chemical reactions). Thermal convection due t...

  • Article
  • Open Access
1 Citations
1,776 Views
17 Pages

Technology Empowers Finance: Boundaries and Risks

  • Zheng Ji,
  • Xiaoqi Zhang,
  • Han Liang and
  • Yang Lyu

30 October 2024

BigTech credit has enhanced financial inclusion, but it also poses concerns with its boundaries. This article uses theoretical frameworks and numerical simulations to examine the risks and inclusiveness of technology-empowered credit services for &ld...

  • Article
  • Open Access
4 Citations
3,281 Views
17 Pages

30 October 2024

In recent years, China’s financial markets have come under increasing scrutiny. In order to explore the impact of financial literacy on urban household investment in the risk financial market, this paper used the micro-data of the 2019 China Ho...

  • Article
  • Open Access
1,307 Views
25 Pages

Yet Another Discriminant Analysis (YADA): A Probabilistic Model for Machine Learning Applications

  • Richard V. Field,
  • Michael R. Smith,
  • Ellery J. Wuest and
  • Joe B. Ingram

30 October 2024

This paper presents a probabilistic model for various machine learning (ML) applications. While deep learning (DL) has produced state-of-the-art results in many domains, DL models are complex and over-parameterized, which leads to high uncertainty ab...

  • Article
  • Open Access
2 Citations
1,536 Views
23 Pages

Addressing the Cost Optimization Issue for IOTA Based on Lyapunov Optimization Theory

  • Yinfeng Chen,
  • Baojun Sun,
  • Yaofei Wang,
  • Zhixin Qiu and
  • Yang Li

30 October 2024

IOTA is an emerging decentralized computing paradigm for developing blockchain-based Internet of Things (IoT) applications. It has the advantages of zero transaction fees, incremental scalability, and high-performance transaction rates. Despite its w...

  • Article
  • Open Access
1,242 Views
16 Pages

Disconnected Stationary Solutions in 3D Kolmogorov Flow and Their Relation to Chaotic Dynamics

  • Nikolay M. Evstigneev,
  • Taisia V. Karamysheva,
  • Nikolai A. Magnitskii and
  • Oleg I. Ryabkov

30 October 2024

This paper aims to investigate the nonlinear transition to turbulence in generalized 3D Kolmogorov flow. The difference between this and classical Kolmogorov flow is that the forcing term in the x direction sin(y) is replaced with sin(y)cos(z). This...

  • Article
  • Open Access
1 Citations
3,589 Views
17 Pages

30 October 2024

A Linear Transformer linearizes the attention mechanism of the vanilla Transformer architecture, significantly improving efficiency and achieving linear theoretical complexity with respect to sequence length. However, few studies have explored the ca...

  • Article
  • Open Access
1,670 Views
15 Pages

30 October 2024

The Chebyshev cardinal functions based on the Lobatto grid are introduced and used for the first time to solve the fractional delay differential equations. The presented algorithm is based on the collocation method, which is applied to solve the corr...

  • Article
  • Open Access
4 Citations
2,671 Views
15 Pages

29 October 2024

The aim of this research is to minimize the number of container-rehandling operations in both the yard and on the ship in order to solve the problem of coordinated optimization of ship loading and yard container retrieval and enhance the loading effi...

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Mathematics - ISSN 2227-7390