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Mathematical and Computational Applications, Volume 25, Issue 3

2020 September - 23 articles

Cover Story: Online social networks have been an excellent platform for exchanging ideas and sharing information, yet they are also vulnerable to illegal activities, such as spam, fake news, and rumor spreading, produced by abnormal users, so-called bots. This paper proposes a new method for automated bot detection that utilizes persistent homology. We show that persistent homology is able to capture both structural and behavioral features of users, i.e., features that are frequently used for bot detection in literature. View this paper
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Articles (23)

  • Article
  • Open Access
5 Citations
5,203 Views
18 Pages

Computing Brain White and Grey Matter Injury Severity in a Traumatic Fall

  • Christophe Bastien,
  • Clive Neal-Sturgess,
  • Huw Davies and
  • Xiang Cheng

22 September 2020

In the real world, the severity of traumatic injuries is measured using the Abbreviated Injury Scale (AIS). However, the AIS scale cannot currently be computed by using the output from finite element human computer models, which currently rely on max...

  • Article
  • Open Access
2,743 Views
20 Pages

10 September 2020

This article aims to study the schemes of forecasting the volatilities of Chinese futures markets and sector stocks. An improved method based on the cyclical two-component model (CTCM) introduced by Harris et al. in 2011 is provided. The performance...

  • Article
  • Open Access
13 Citations
5,672 Views
20 Pages

Sensorless Speed Tracking of a Brushless DC Motor Using a Neural Network

  • Oscar-David Ramírez-Cárdenas and
  • Felipe Trujillo-Romero

In this work, the sensorless speed control of a brushless direct current motor utilizing a neural network is presented. This control is done using a two-layer neural network that uses the backpropagation algorithm for training. The values provided by...

  • Feature Paper
  • Article
  • Open Access
11 Citations
5,993 Views
16 Pages

Bot Detection on Social Networks Using Persistent Homology

  • Minh Nguyen,
  • Mehmet Aktas and
  • Esra Akbas

The growth of social media in recent years has contributed to an ever-increasing network of user data in every aspect of life. This volume of generated data is becoming a vital asset for the growth of companies and organizations as a powerful tool to...

  • Feature Paper
  • Article
  • Open Access
13 Citations
8,471 Views
12 Pages

Simultaneous Optimal Estimation of Roughness and Minor Loss Coefficients in a Pipeline

  • Ildeberto Santos-Ruiz,
  • Francisco-Ronay López-Estrada,
  • Vicenç Puig and
  • Guillermo Valencia-Palomo

This paper presents a proposal to estimate simultaneously, through nonlinear optimization, the roughness and head loss coefficients in a non-straight pipeline. With the proposed technique, the calculation of friction is optimized by minimizing the fi...

  • Article
  • Open Access
3 Citations
2,809 Views
24 Pages

Analysis and Comparison of Fuzzy Models and Observers for DC-DC Converters Applied to a Distillation Column Heating Actuator

  • Mario Heras-Cervantes,
  • Adriana del Carmen Téllez-Anguiano,
  • Juan Anzurez-Marín and
  • Elisa Espinosa-Juárez

In this paper, as an introduction, the nonlinear model of a distillation column is presented in order to understand the fundamental paper that the column heating actuator has in the distillation process dynamics as well as in the quality and safety o...

  • Article
  • Open Access
44 Citations
3,567 Views
25 Pages

In each iteration, the projection methods require computing at least one projection onto the closed convex set. However, projections onto a general closed convex set are not easily executed, a fact that might affect the efficiency and applicability o...

  • Article
  • Open Access
62 Citations
13,360 Views
16 Pages

Stock index price prediction is prevalent in both academic and economic fields. The index price is hard to forecast due to its uncertain noise. With the development of computer science, neural networks are applied in kinds of industrial fields. In th...

  • Article
  • Open Access
23 Citations
3,142 Views
19 Pages

Effects of Convection on Sisko Fluid with Peristalsis in an Asymmetric Channel

  • Naveed Iqbal,
  • Humaira Yasmin,
  • Bawfeh K. Kometa and
  • Adel A. Attiya

This article deals with Sisko fluid flow exhibiting peristaltic mechanism in an asymmetric channel with sinusoidal wave propagating down its walls. The channel walls in heat transfer process satisfy the convective conditions. The flow and heat transf...

  • Article
  • Open Access
5 Citations
3,052 Views
13 Pages

Design of a Nonhomogeneous Nonlinear Synchronizer and Its Implementation in Reconfigurable Hardware

  • Jesus R. Pulido-Luna,
  • Jorge A. López-Rentería and
  • Nohe R. Cazarez-Castro

In this work, a generalization of a synchronization methodology applied to a pair of chaotic systems with heterogeneous dynamics is given. The proposed control law is designed using the error state feedback and Lyapunov theory to guarantee asymptotic...

  • Feature Paper
  • Article
  • Open Access
3 Citations
3,246 Views
20 Pages

Exponential Perturbative Expansions and Coordinate Transformations

  • Ana Arnal,
  • Fernando Casas and
  • Cristina Chiralt

We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, the Floquet–Magnus expansion for periodic systems, the quantum ave...

  • Article
  • Open Access
2 Citations
2,335 Views
12 Pages

Voigt Transform and Umbral Image

  • Silvia Licciardi,
  • Rosa Maria Pidatella,
  • Marcello Artioli and
  • Giuseppe Dattoli

In this paper, we show that the use of methods of an operational nature, such as umbral calculus, allows achieving a double target: on one side, the study of the Voigt function, which plays a pivotal role in spectroscopic studies and in other applica...

  • Feature Paper
  • Article
  • Open Access
16 Citations
3,844 Views
12 Pages

Robust qLPV Tracking Fault-Tolerant Control of a 3 DOF Mechanical Crane

  • Francisco-Ronay López-Estrada,
  • Oscar Santos-Estudillo,
  • Guillermo Valencia-Palomo,
  • Samuel Gómez-Peñate and
  • Carlos Hernández-Gutiérrez

The main aim of this paper is to propose a robust fault-tolerant control for a three degree of freedom (DOF) mechanical crane by using a convex quasi-Linear Parameter Varying (qLPV) approach for modeling the crane and a passive fault-tolerant scheme....

  • Article
  • Open Access
10 Citations
3,171 Views
24 Pages

Half-Space Relaxation Projection Method for Solving Multiple-Set Split Feasibility Problem

  • Guash Haile Taddele,
  • Poom Kumam,
  • Anteneh Getachew Gebrie and
  • Kanokwan Sitthithakerngkiet

In this paper, we study an iterative method for solving the multiple-set split feasibility problem: find a point in the intersection of a finite family of closed convex sets in one space such that its image under a linear transformation belongs to th...

  • Project Report
  • Open Access
6 Citations
5,650 Views
8 Pages

In this paper, we present an overview of the European Processor Initiative (EPI), one of the cornerstones of the EuroHPC Joint Undertaking, a new European Union strategic entity focused on pooling the Union’s and national resources on HPC to ac...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,622 Views
15 Pages

Introducing BisQ, A Bicoherence-Based Nonlinear Index to Explore the Heart Rhythm

  • José Luis Hernández-Caceres,
  • René Iván González-Fernández,
  • Marlis Ontivero-Ortega and
  • Guido Nolte

Nonlinear frequency coupling is assessed with bispectral measures, such as bicoherence. In this study, BisQ, a new bicoherence-derived index, is proposed for assessing nonlinear processes in cardiac regulation. To find BisQ, 110 ten-minute ECG traces...

  • Article
  • Open Access
7 Citations
3,212 Views
16 Pages

A Fractional High-Gain Nonlinear Observer Design—Application for Rivers Environmental Monitoring Model

  • Abraham Efraim Rodriguez-Mata,
  • Yaneth Bustos-Terrones,
  • Victor Gonzalez-Huitrón,
  • Pablo Antonio Lopéz-Peréz,
  • Omar Hernández-González and
  • Leonel Ernesto Amabilis-Sosa

The deterioration of current environmental water sources has led to the need to find ways to monitor water quality conditions. In this paper, we propose the use of Streeter–Phelps contaminant distribution models and state estimation techniques...

  • Article
  • Open Access
3 Citations
2,767 Views
15 Pages

In this study, based on our previous study in which the proposed model is derived based on the SIR model and E. M. Rogers’s Diffusion of Innovation Theory, including the aspects of contact and time delay, we examined the mathematical properties...

  • Feature Paper
  • Article
  • Open Access
2 Citations
3,785 Views
14 Pages

The goal of this research is to maximize chord-based composition possibilities given a relatively small amount of information. A transformational approach, based in group theory, was chosen, focusing on chord intervals as the components of a modified...

  • Feature Paper
  • Article
  • Open Access
3,080 Views
18 Pages

ssMousetrack—Analysing Computerized Tracking Data via Bayesian State-Space Models in R

  • Antonio Calcagnì,
  • Massimiliano Pastore and
  • Gianmarco Altoé

Recent technological advances have provided new settings to enhance individual-based data collection and computerized-tracking data have became common in many behavioral and social research. By adopting instantaneous tracking devices such as computer...

  • Feature Paper
  • Article
  • Open Access
19 Citations
4,772 Views
21 Pages

Phase-field fracture models lead to variational problems that can be written as a coupled variational equality and inequality system. Numerically, such problems can be treated with Galerkin finite elements and primal-dual active set methods. Specific...

  • Feature Paper
  • Article
  • Open Access
1 Citations
4,121 Views
20 Pages

Windowing as a Sub-Sampling Method for Distributed Data Mining

  • David Martínez-Galicia,
  • Alejandro Guerra-Hernández,
  • Nicandro Cruz-Ramírez,
  • Xavier Limón and
  • Francisco Grimaldo

Windowing is a sub-sampling method, originally proposed to cope with large datasets when inducing decision trees with the ID3 and C4.5 algorithms. The method exhibits a strong negative correlation between the accuracy of the learned models and the nu...

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Math. Comput. Appl. - ISSN 2297-8747