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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
1,286 Views
12 Pages

4 November 2024

This paper aims to investigate appropriate mathematical models devoted to the optimization of some cleaning processes related to pharmaceutical contaminant removal. In our recent works, we found the rehabilitation of the existing cleaning plants as a...

  • Article
  • Open Access
6 Citations
2,243 Views
26 Pages

Fuzzy Logic Controller for Power Control of an Electric Arc Furnace

  • Loredana Ghiormez,
  • Manuela Panoiu and
  • Caius Panoiu

4 November 2024

Electric Arc Furnaces (EAFs) are widely used in the steel manufacturing industry to melt scrap steel by employing a large number of electric arcs. EAFs play an important role in ensuring the efficient production of steel. However, their nonlinear and...

  • Article
  • Open Access
2 Citations
3,652 Views
16 Pages

Heart Rate Estimation Algorithm Integrating Long and Short-Term Temporal Features

  • Jie Sun,
  • Zhanwang Zhang,
  • Jiaqi Liu,
  • Lijian Zhou and
  • Songtao Hu

4 November 2024

Non-contact heart rate monitoring from facial videos utilizing remote photoplethysmography (rPPG) has gained significant traction in remote health monitoring. Given that rPPG captures the dynamic blood flow within the human body and constitutes a tim...

  • Feature Paper
  • Article
  • Open Access
3,256 Views
13 Pages

4 November 2024

This paper presents a novel method for fabricating three-dimensional (3D) microstructures of cobalt–platinum (Co-Pt) permanent magnets using a localized electrochemical deposition (LECD) technique. The method involves the use of an electrolyte...

  • Article
  • Open Access
1,660 Views
21 Pages

4 November 2024

In this study, we propose an adversarial learning approach to the asset pricing model estimation problem which aims to find estimates of factors and loadings that capture time-series covariations while minimizing the worst-case cross-sectional pricin...

  • Article
  • Open Access
2 Citations
1,346 Views
19 Pages

Truncation Error of the Network Simulation Method: Chaotic Dynamical Systems in Mechanical Engineering

  • Joaquín Solano,
  • Javier Mulas-Pérez,
  • Francisco Balibrea and
  • José Andrés Moreno-Nicolás

4 November 2024

This article focuses on the study of local truncation errors (LTEs) in the Network Simulation Method (NSM), specifically when using the trapezoidal method and Gear’s methods. The NSM, which represents differential equations through electrical c...

  • Feature Paper
  • Article
  • Open Access
2,037 Views
17 Pages

4 November 2024

Order execution is an extremely important problem in the financial domain, and recently, more and more researchers have tried to employ reinforcement learning (RL) techniques to solve this challenging problem. There are a lot of difficulties for conv...

  • Article
  • Open Access
1 Citations
3,394 Views
25 Pages

IMITASD: Imitation Assessment Model for Children with Autism Based on Human Pose Estimation

  • Hany Said,
  • Khaled Mahar,
  • Shaymaa E. Sorour,
  • Ahmed Elsheshai,
  • Ramy Shaaban,
  • Mohamed Hesham,
  • Mustafa Khadr,
  • Youssef A. Mehanna,
  • Ammar Basha and
  • Fahima A. Maghraby

3 November 2024

Autism is a challenging brain disorder affecting children at global and national scales. Applied behavior analysis is commonly conducted as an efficient medical therapy for children. This paper focused on one paradigm of applied behavior analysis, im...

  • Article
  • Open Access
1 Citations
1,259 Views
17 Pages

3 November 2024

This paper addresses the problem of distributed constrained optimization in a multi-agent system where some agents may deviate from the prescribed update rules due to failures or malicious adversarial attacks. The objective is to minimize the collect...

  • Article
  • Open Access
1,320 Views
24 Pages

Efficiency Investigation of Langevin Monte Carlo Ray Tracing

  • Sergey Ershov,
  • Vladimir Frolov,
  • Alexander Nikolaev,
  • Vladimir Galaktionov and
  • Alexey Voloboy

3 November 2024

The main computationally expensive task of realistic computer graphics is the calculation of global illumination. Currently, most of the lighting simulation methods are based on various types of Monte Carlo ray tracing. One of them, the Langevin Mont...

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Mathematics - ISSN 2227-7390