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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
1,078 Views
14 Pages

A Comparative View of Becker, Lomnitz, and Lambert Linear Viscoelastic Models

  • Juan Luis González-Santander and
  • Francesco Mainardi

31 October 2024

We compare the classical viscoelastic models due to Becker and Lomnitz with respect to a recent viscoelastic model based on the Lambert W function. We take advantage of this comparison to derive new analytical expressions for the relaxation spectrum...

  • Article
  • Open Access
1,255 Views
39 Pages

31 October 2024

The scattering problem of elastic waves impinging on periodic single and double arrays of parallel cylindrical defects is considered for isotropic materials. An analytic expression for the scattering matrix is obtained by means of the Lippmann–...

  • Article
  • Open Access
1 Citations
1,691 Views
13 Pages

Hierarchical Optimal Dispatching of Electric Vehicles Based on Photovoltaic-Storage Charging Stations

  • Ziyuan Liu,
  • Junjing Tan,
  • Wei Guo,
  • Chong Fan,
  • Wenhe Peng,
  • Zhijian Fang and
  • Jingke Gao

31 October 2024

Electric vehicles, known for their eco-friendliness and rechargeable–dischargeable capabilities, can serve as energy storage batteries to support the operation of the microgrid in certain scenarios. Therefore, photovoltaic-storage electric vehi...

  • Article
  • Open Access
6 Citations
11,149 Views
32 Pages

Ensemble-Based Machine Learning Algorithm for Loan Default Risk Prediction

  • Abisola Akinjole,
  • Olamilekan Shobayo,
  • Jumoke Popoola,
  • Obinna Okoyeigbo and
  • Bayode Ogunleye

31 October 2024

Predicting credit default risk is important to financial institutions, as accurately predicting the likelihood of a borrower defaulting on their loans will help to reduce financial losses, thereby maintaining profitability and stability. Although mac...

  • Article
  • Open Access
2 Citations
1,766 Views
19 Pages

31 October 2024

The consensus problem of a multi-agent system with nonlinear second-order underactuated agents is addressed. The essence of the approach can be outlined as follows: the output is redesigned first so that the agents attain the minimum-phase property....

  • Article
  • Open Access
1 Citations
1,876 Views
12 Pages

31 October 2024

Prime Power RSA is a variant of the RSA scheme due to Takagi with modulus N=prq for r⩾2, where p,q are of the same bit-size. In this paper, we concentrate on one type of Prime Power RSA which assumes e·d≡1modpr−1(p−1)(...

  • Article
  • Open Access
3 Citations
1,100 Views
20 Pages

31 October 2024

This paper investigates the nonlinear dynamic deflection, natural frequency, and wave propagation in functionally graded (FG) porous piezoelectric microscale tubes under periodic load, hygrothermal conditions, and an external electric field. The piez...

  • Article
  • Open Access
1,141 Views
24 Pages

31 October 2024

This study looks at how travelers move between MADINA and JEDDA, using the UPPAAL Stratego tool to tackle the complexities of urban mobility. As cities grow, effective transportation planning becomes more challenging. Travelers have three options: ca...

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

31 October 2024

Designing maintenance strategies for a vast portfolio of aging infrastructures requires decision-makers to ensure adequate safety levels while addressing the requirements on service interruptions, costs, and workforce availability. This study address...

  • Article
  • Open Access
2,010 Views
22 Pages

31 October 2024

Observational data with massive sample sizes are often distributed on many local machines. From an experimental design perspective, investigators often desire to identify the effect of new treatments (even ML algorithms) on many blocks of experimenta...

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Mathematics - ISSN 2227-7390