Advances in High-Dimensional Data Analysis 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 2025 | Viewed by 1556

Special Issue Editor


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Guest Editor
Department of Biostatistics, University of Nebraska Medical Center, Omaha, NE 68198, USA
Interests: high dimensional; nonparametric and shape constrained statistical inference; machine learning and multiple testing

Special Issue Information

Dear Colleagues,

This Special Issue compiles innovative statistical methodologies, applications, and data analyses that address the challenges and opportunities presented by high-dimensional data across various scientific disciplines. High-dimensional data, characterized by a large number of variables relative to the number of observations, are becoming increasingly prevalent in fields such as omics, electronic health records, imaging, and finance. This Special Issue will feature a broad range of articles, including the following. Novel statistical techniques: introduction of new statistical models and inference methods tailored to handle high-dimensional datasets, ensuring robustness and accuracy in the face of data complexity. Machine learning algorithms: development and application of advanced machine learning algorithms that can efficiently manage and analyze high-dimensional data, uncovering hidden patterns and driving predictive analytics. Dimensionality reduction methods: innovative approaches to reduce the dimensionality of data while preserving essential information, facilitating more efficient data analysis and visualization. Computational techniques: exploration of novel computational methods and tools designed to process high-dimensional data more effectively, addressing issues related to computational cost and scalability. Practical applications: case studies and practical applications demonstrating the successful implementation of high-dimensional data analysis techniques in various domains, such as personalized medicine, biomarker identification, financial modeling, and image recognition.

Dr. Ran Dai
Guest Editor

Manuscript Submission Information

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Keywords

  • high-dimensional data
  • statistical techniques
  • machine learning algorithms
  • dimensionality reduction methods

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Published Papers (1 paper)

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Research

23 pages, 644 KiB  
Article
Variable Selection in Semi-Functional Partially Linear Regression Models with Time Series Data
by Shuyu Meng and Zhensheng Huang
Mathematics 2024, 12(17), 2778; https://doi.org/10.3390/math12172778 - 8 Sep 2024
Viewed by 1155
Abstract
This article investigates a variable selection method in semi-functional partially linear regression (SFPLR) models for strong α-mixing functional time series data. We construct penalized least squares estimators for unknown parameters and unknown link functions in our models. Under some regularity assumptions, we [...] Read more.
This article investigates a variable selection method in semi-functional partially linear regression (SFPLR) models for strong α-mixing functional time series data. We construct penalized least squares estimators for unknown parameters and unknown link functions in our models. Under some regularity assumptions, we establish the asymptotic convergence rate and asymptotic distribution for the proposed estimators. Furthermore, we make a comparison of our variable selection method with the oracle method without variable selection in simulation studies and an electricity consumption data analysis. Simulation experiments and real data analysis results indicate that the variable selection method performs well at extracting the primary information and reducing dimensionality. Full article
(This article belongs to the Special Issue Advances in High-Dimensional Data Analysis and Applications)
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