Uncertainty Quantification Techniques in Statistics, Machine Learning and FinTech: 2nd Edition

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

Deadline for manuscript submissions: 31 December 2025 | Viewed by 994

Special Issue Editor

Special Issue Information

Dear Colleagues,

Uncertainty Quantification (UQ) is a mainstream research topic in applied mathematics and statistics. To identify UQ problems, diverse modern techniques for large and complex data analysis have been developed in the fields of applied mathematics, computer science, and statistics.

To promote these modern data analysis methods in biology, economics, environmental studies, finance, mathematics, operational research, science, and statistics, a Special Issue of Mathematics (ISSN 2227-7390), the Science Citation Index Expanded (SCIE) journal, will be devoted to “Uncertainty Quantification Techniques in Statistics, Machine Learning and FinTech: 2nd Edition”.

Prof. Dr. Jong-Min Kim
Guest Editor

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Keywords

  • artificial intelligence
  • bayesian statistics
  • bioinformatics
  • biostatics
  • blockchain
  • big data
  • change-point detection
  • computer model
  • cryptocurrencies
  • cyber security
  • data analytics
  • data mining
  • deep learning
  • electronic data interchange (EDI)
  • e-Learning
  • expert systems
  • financial time series
  • functional data analysis
  • fuzzy logic
  • internet security
  • internet of things
  • machine learning
  • mobile applications
  • mobile learning
  • neural networks
  • quality control
  • security
  • sentiment analysis
  • spatial statistics
  • support vector machines
  • web services and performance

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Published Papers (2 papers)

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Research

16 pages, 324 KB  
Article
Doubly Robust Estimation of the Finite Population Distribution Function Using Nonprobability Samples
by Soonpil Kwon, Dongmin Jang and Kyu-Seong Kim
Mathematics 2025, 13(19), 3227; https://doi.org/10.3390/math13193227 - 8 Oct 2025
Viewed by 245
Abstract
The growing use of nonprobability samples in survey statistics has motivated research on methodological adjustments that address the selection bias inherent in such samples. Most studies, however, have concentrated on the estimation of the population mean. In this paper, we extend our focus [...] Read more.
The growing use of nonprobability samples in survey statistics has motivated research on methodological adjustments that address the selection bias inherent in such samples. Most studies, however, have concentrated on the estimation of the population mean. In this paper, we extend our focus to the finite population distribution function and quantiles, which are fundamental to distributional analysis and inequality measurement. Within a data integration framework that combines probability and nonprobability samples, we propose two estimators, a regression estimator and a doubly robust estimator, and discuss their asymptotic properties. Furthermore, we derive quantile estimators and construct Woodruff confidence intervals using a bootstrap method. Simulation results based on both a synthetic population and the 2023 Korean Survey of Household Finances and Living Conditions demonstrate that the proposed estimators perform stably across scenarios, supporting their applicability to the production of policy-relevant indicators. Full article
18 pages, 803 KB  
Article
Gaussian Process with Vine Copula-Based Context Modeling for Contextual Multi-Armed Bandits
by Jong-Min Kim
Mathematics 2025, 13(13), 2058; https://doi.org/10.3390/math13132058 - 21 Jun 2025
Cited by 1 | Viewed by 566
Abstract
We propose a novel contextual multi-armed bandit (CMAB) framework that integrates copula-based context generation with Gaussian Process (GP) regression for reward modeling, addressing complex dependency structures and uncertainty in sequential decision-making. Context vectors are generated using Gaussian and vine copulas to capture nonlinear [...] Read more.
We propose a novel contextual multi-armed bandit (CMAB) framework that integrates copula-based context generation with Gaussian Process (GP) regression for reward modeling, addressing complex dependency structures and uncertainty in sequential decision-making. Context vectors are generated using Gaussian and vine copulas to capture nonlinear dependencies, while arm-specific reward functions are modeled via GP regression with Beta-distributed targets. We evaluate three widely used bandit policies—Thompson Sampling (TS), ε-Greedy, and Upper Confidence Bound (UCB)—on simulated environments informed by real-world datasets, including Boston Housing and Wine Quality. The Boston Housing dataset exemplifies heterogeneous decision boundaries relevant to housing-related marketing, while the Wine Quality dataset introduces sensory feature-based arm differentiation. Our empirical results indicate that the ε-Greedy policy consistently achieves the highest cumulative reward and lowest regret across multiple runs, outperforming both GP-based TS and UCB in high-dimensional, copula-structured contexts. These findings suggest that combining copula theory with GP modeling provides a robust and flexible foundation for data-driven sequential experimentation in domains characterized by complex contextual dependencies. Full article
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