Statistical Learning and Data Science: Methods, Theory, and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D1: Probability and Statistics".

Deadline for manuscript submissions: 31 October 2026 | Viewed by 605

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Department of Mathematical Sciences, School of Science, RMIT University, Melbourne, VIC 3001, Australia
Interests: mathematical statistics; applied probability; extreme value theory; dependence modelling via copulas; time series; financial econometrics; stochastic processes
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Department of Economics and Management, University of Trento, 38122 Trento, Italy
Interests: applied econometrics; computational statistics; loss models; Monte Carlo methods; quantitative risk management; statistical distributions
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue, “Statistical Learning and Data Science: Methods, Theory, and Applications”, aims to showcase recent advances at the intersection of statistical methodology, machine learning, and data-driven discovery. This Issue brings together contributions that develop new theoretical foundations, methodological innovations, and practical tools for statistical learning and data science. Topics of interest include, but are not limited to, supervised and unsupervised learning, high-dimensional inference, regularization and sparsity, deep and ensemble learning, explainable and interpretable models, and scalable algorithms for large and complex data. 

In addition to methodological and theoretical contributions, the Issue emphasizes real-world applications of statistical learning and data science across diverse domains such as healthcare, finance, engineering, environmental science, economics, and social sciences. These applications demonstrate how modern data-driven approaches can extract meaningful insights, enhance decision-making, and address complex scientific and societal challenges. Overall, this Special Issue aims to provide a comprehensive forum for researchers and practitioners to exchange ideas, highlight emerging trends, and advance the theory and practice of statistical learning and data science.

We welcome your contributions and hope that this collection will serve as a valuable resource for both authors and readers.

Dr. Laleh Tafakori
Prof. Dr. Marco Bee
Guest Editors

Manuscript Submission Information

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Keywords

  • statistical learning
  • machine learning methods
  • high-dimensional data analysis
  • regularization and sparsity
  • time series and sequential data
  • spatial and spatio-temporal modeling
  • Bayesian learning and inference
  • nonparametric methods
  • scalable algorithms
  • network and graph models

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Published Papers (1 paper)

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Research

16 pages, 1443 KB  
Article
Scalar-on-Function Regression with Replicated Error-Prone Functional Covariates
by Xiyue Cao and Chunzheng Cao
Mathematics 2026, 14(8), 1384; https://doi.org/10.3390/math14081384 - 20 Apr 2026
Viewed by 372
Abstract
In this article, we study scalar-on-function regression with functional covariates observed through replicated measurements subject to measurement error. Treating replicated curves as surrogates of an underlying latent process, the proposed framework resolves the identifiability issues commonly encountered in functional measurement error models. Through [...] Read more.
In this article, we study scalar-on-function regression with functional covariates observed through replicated measurements subject to measurement error. Treating replicated curves as surrogates of an underlying latent process, the proposed framework resolves the identifiability issues commonly encountered in functional measurement error models. Through functional principal component analysis, the model is represented as a finite-dimensional hierarchical linear measurement error model. Parameter estimation is carried out using an expectation-maximization algorithm, and alternative correction strategies based on adjusted regression calibration and simulation extrapolation are also considered for comparison. Simulation studies demonstrate the advantages of explicitly accounting for measurement error in terms of bias reduction and estimation stability. An application to soybean yield prediction in Illinois, using meteorological variables contaminated by measurement error, illustrates the practical value of the proposed approach. Full article
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