Advanced Statistical and Machine Learning Methods for High-Dimensional and Big Data Analysis

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 31 March 2027 | Viewed by 1089

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Guest Editor
Unit of Applied Statistics and Mathematics, Department of Energy and Technology, Swedish University of Agricultural Sciences, 75007 Uppsala, Sweden
Interests: machine learning; high dimensional regression analysis; penalized methods; censored data

Special Issue Information

Dear Colleagues,

The rapid expansion of big data in diverse domains, including healthcare, finance, engineering, and environmental sciences, has created an urgent demand for advanced machine learning and statistical techniques that can extract meaningful insights from complex, high-dimensional datasets. This Special Issue aims to bridge the gap between mathematical theory, statistical modeling, and cutting-edge machine learning algorithms to address key challenges in big data analytics.

We welcome original research and review articles focusing on innovative methodologies, theoretical advancements, and real-world applications of machine learning, deep learning, Bayesian inference, optimization techniques, and statistical modeling. Topics of interest include, but are not limited to, the following:

  • Mathematical foundations of machine learning.
  • Scalable learning algorithms for high-dimensional data.
  • Bayesian and probabilistic approaches in machine learning.
  • Optimization techniques for large-scale machine learning.
  • Interpretable and explainable AI in big data.
  • Applications in healthcare, economics, agriculture, and more.

This Special Issue seeks to highlight interdisciplinary approaches that integrate applied mathematics, statistics, and machine learning to solve complex real-world problems. We invite researchers, academicians, and industry experts to contribute their latest findings and insights.

Dr. Reza Arabi Belaghi
Guest Editor

Manuscript Submission Information

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Keywords

  • machine learning
  • big data analytics
  • statistical modeling
  • deep learning
  • bayesian inference
  • optimization algorithms
  • explainable AI
  • high-dimensional data
  • computational mathematics for machine learning
 

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Published Papers (1 paper)

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Research

21 pages, 1005 KB  
Article
Bias Evaluation in Large Language Model Summaries Using Financial Crimes Data
by Shegufta Tasneem, Hanna Courtot, Katherine Fullowan and Patrick Hall
Mathematics 2026, 14(11), 1795; https://doi.org/10.3390/math14111795 - 22 May 2026
Viewed by 485
Abstract
Large language models (LLMs) are being adopted rapidly in financial institutions for applications including customer communication, compliance review, fraud detection, and agentic workflows, but without bias evaluation, they risk reinforcing systemic biases that may lead to unethical or unlawful decisions. To address potential [...] Read more.
Large language models (LLMs) are being adopted rapidly in financial institutions for applications including customer communication, compliance review, fraud detection, and agentic workflows, but without bias evaluation, they risk reinforcing systemic biases that may lead to unethical or unlawful decisions. To address potential systemic bias in LLMs in regulated settings like financial services, we present a statistical analysis framework and structured, reproducible methodology for evaluating whether LLM outputs vary significantly across demographic groups. Using financial fraud stories from the CNN/DailyMail dataset, we employ substitution-based identity variations across protected demographic classes, generate summaries via three proprietary language models, and perform statistical analysis on common metrics (ROUGE, BERTScore, Adverse Impact Ratio (AIR), and Standardized Mean Difference (SMD)). Statistical approaches such as MANOVA and ANOVA reveal small but significant differences in output metric values (e.g., for White female, Black male, and Asian male identities in our analysis), while sentiment analysis and human evaluation confirm disparities in tone and framing. Our results also indicate that measured disparities appear to decrease across subsequent model generations. Full article
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