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New Trends in Big Data Analysis, Optimization, and Algorithms

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: closed (1 March 2026) | Viewed by 1632

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Laboratoire des Signaux et Systèmes (L2S UMR CNRS 8506), CentraleSupélec, Université Paris-Saclay, Gif-sur-Yvette, France
Interests: machine learning; signal processing; intelligent communication; automatic control; data analysis
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De Vinci Research Center (DVRC), École Supérieure d'Ingénieurs Léonard de Vinci (ESILV), Paris, La Défense, France
Interests: artificial intelligence; computer vision; data processing; biomechanics

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1. Department of Medical Diagnostic Imaging, College of Health Sciences, Sharjah University, Sharjah, United Arab Emirates
2. Research Institute for Medical and Health Sciences, University of Sharjah, Sharjah, United Arab Emirates
3. Operational Research Center in Healthcare, Near East University, TRNC Mersin 10, Nicosia 99138, Cyprus
Interests: medical imaging; nuclear medicine; decision theory in healthcare; artificial intelligence in healthcare
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

In today’s era, which is characterized by an exponential growth in the amount of data being generated from various sources like social media, universe observation, environmental sensing, sensor devices, businesses, and online transactions, this deluge of data, widely known as “Big Data”, poses unique challenges in terms of storage, processing, and analysis. Moreover, optimizing the processes of treating and analyzing such voluminous amounts of data is crucial for efficiently extracting valuable insights. This Special Iaims to bring together cutting-edge research on the latest trends in Big Danalysis, optimization, and algorithms, focusing on innovative methods, interdisciplinary approaches, and practical applications.

This Special Itargets researchers, engineers, data scientists, and professionals working in the fields of Big D, optimization, and algorithms. It aims to provide valuable insights into the latest trends, challenges, and solutions in these areas, thereby fostering knowledge sharing and collaboration across disciplines.

Prof. Dr. Hani Hamdan
Dr. Jinan Charafeddine
Dr. Dilber Uzun Ozsahin
Guest Editors

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Keywords

  • novel architectures and frameworks for Big Data processing
  • advanced algorithms for Big Data analysis
  • optimization in Big Data processing and analysis
  • artificial intelligence and machine learning for Big Data
  • security, privacy, and ethics in Big Data management
  • practical applications and use cases of Big Data analysis across different sectors (healthcare, finance, environment, telecommunications, energy, etc.)
  • visualization techniques for Big Data

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Published Papers (1 paper)

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Research

23 pages, 1403 KB  
Article
Wrapped Cauchy Robust Approach to the Circular-Circular Regression Model
by Adnan Karaibrahimoglu, Mutlu Altuntas and Hani Hamdan
Mathematics 2026, 14(3), 426; https://doi.org/10.3390/math14030426 - 26 Jan 2026
Viewed by 413
Abstract
Circular–circular regression models are widely used to investigate relationships between angular variables in various applied fields, including biostatistics. The classical von Mises (vM) circular–circular regression model, however, is known to be sensitive to outliers due to its light-tailed error structure. In this study, [...] Read more.
Circular–circular regression models are widely used to investigate relationships between angular variables in various applied fields, including biostatistics. The classical von Mises (vM) circular–circular regression model, however, is known to be sensitive to outliers due to its light-tailed error structure. In this study, we investigate the wrapped Cauchy (WC) circular–circular regression model as a robust alternative to the vM-based approach for analyzing circular data contaminated by outliers. Parameter estimation is performed via maximum likelihood (ML) using a modern constrained gradient-based optimization algorithm, namely the limited-memory Broyden–Fletcher–Goldfarb–Shanno algorithm with box constraints (L-BFGS-B), allowing for stable estimation under natural parameter bounds. Extensive simulation studies demonstrate that, under contaminated settings, the WC model provides substantially more stable parameter estimates than the vM model, yielding markedly lower mean squared error and variability, particularly for high concentration regimes and directional outliers. The robustness advantage of the WC model is further illustrated through a real biostatistical application involving the circular relationship between the months of diagnosis and surgical intervention in gastric cancer patients. Overall, the results highlight the practical benefits of WC-based circular–circular regression for robust inference in the presence of outliers. Full article
(This article belongs to the Special Issue New Trends in Big Data Analysis, Optimization, and Algorithms)
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