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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
1,461 Views
15 Pages

31 October 2024

In this paper, we study the initial value problem for the fractional differential equation with multiple deviating arguments. By using Krasnoselskii’s fixed point theorem, the conditions of solvability of the problem are obtained. Furthermore,...

  • Feature Paper
  • Article
  • Open Access
1,144 Views
20 Pages

31 October 2024

In cluster analysis one often finds several partitions of a data set using different clustering methods and algorithms set with a variety of hyperparameters and tunings. The number of clusters K is one of the most relevant of such hyperparameters. Cl...

  • Article
  • Open Access
14 Citations
9,924 Views
29 Pages

Hybrid Approach to Automated Essay Scoring: Integrating Deep Learning Embeddings with Handcrafted Linguistic Features for Improved Accuracy

  • Muhammad Faseeh,
  • Abdul Jaleel,
  • Naeem Iqbal,
  • Anwar Ghani,
  • Akmalbek Abdusalomov,
  • Asif Mehmood and
  • Young-Im Cho

31 October 2024

Automated Essay Scoring (AES) systems face persistent challenges in delivering accuracy and efficiency in evaluations. This study introduces an approach that combines embeddings generated using RoBERTa with handcrafted linguistic features, leveraging...

  • Article
  • Open Access
2,789 Views
19 Pages

31 October 2024

The fuel economy of electric vehicles (EVs) is an important factor in determining the competitiveness of EVs. Since the fuel economy is affected by the efficiency of an e-powertrain composed of a motor and inverter, it is necessary to select a high-e...

  • Article
  • Open Access
5 Citations
2,258 Views
17 Pages

Explaining the Anomaly Detection in Additive Manufacturing via Boosting Models and Frequency Analysis

  • Mario Vozza,
  • Joseph Polden,
  • Giulio Mattera,
  • Gianfranco Piscopo,
  • Silvestro Vespoli and
  • Luigi Nele

31 October 2024

Anomaly detection is an important feature in modern additive manufacturing (AM) systems to ensure quality of the produced components. Although this topic is well discussed in the literature, current methods rely on black-box approaches, limiting our...

  • Article
  • Open Access
3 Citations
1,528 Views
21 Pages

31 October 2024

This study investigates the evolutionary game dynamics among electric vehicle distribution entities in the context of shared charging facilities, addressing the critical issue of inadequate charging resources. To understand the behavior of different...

  • Article
  • Open Access
2 Citations
1,085 Views
22 Pages

Numerical Modeling of Two-Phase Fluid Filtration for Carbonate Reservoir in Two-Dimensional Formulation

  • Ravil M. Uzyanbaev,
  • Yuliya O. Bobreneva,
  • Yury A. Poveshchenko,
  • Viktoriia O. Podryga,
  • Sergey V. Polyakov,
  • Parvin I. Rahimly and
  • Irek M. Gubaydullin

31 October 2024

This work considers the isothermal process of incompressible viscous fluid filtration in an oil-saturated, fractured-porous reservoir. A study of the pressure and water saturation distribution process is carried out for a case in which a production w...

  • Article
  • Open Access
1,517 Views
27 Pages

31 October 2024

This paper presents a mathematical approach to analyzing carbon abatement costs and the allocation of carbon emission allowances in China’s industrial sectors. We utilize input–output data from 30 Chinese provinces between 2009 and 2018 t...

  • Article
  • Open Access
1 Citations
4,941 Views
13 Pages

Dominion on Grids

  • Jianning Su,
  • Julian Allagan,
  • Shanzhen Gao,
  • Olumide Malomo,
  • Weizheng Gao and
  • Ephrem Eyob

31 October 2024

The domination (number) of a graph G=(V,E), denoted by γ(G), is the size of the minimum dominating sets of V(G), also known as γ-sets. As such, the dominion of G, denoted by ζ(G), counts all its γ-...

  • Article
  • Open Access
6 Citations
2,510 Views
14 Pages

Artificial Neural Network-Based Data-Driven Parameter Estimation Approach: Applications in PMDC Motors

  • Faheem Ul Rehman Siddiqi,
  • Sadiq Ahmad,
  • Tallha Akram,
  • Muhammad Umair Ali,
  • Amad Zafar and
  • Seung Won Lee

31 October 2024

The optimal performance of direct current (DC) motors is intrinsically linked to their mathematical models’ precision and their controllers’ effectiveness. However, the limited availability of motor characteristic information poses signif...

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Mathematics - ISSN 2227-7390