Functional Data Analysis and Its Application

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 31 January 2026 | Viewed by 104

Special Issue Editors


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Guest Editor
School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
Interests: functional data analysis; spatial econometric modeling; financial time series analysis

Special Issue Information

Dear Colleagues,

Functional data analysis (FDA) is a branch of statistics concerned with the analysis of infinite-dimensional variables such as curves, sets, and images. This Special Issue, "Functional Data Analysis and Its Application", aims to handle the high-dimensional, time-dependent, and irregularly sampled functional data. With the rapid development of sensor technologies and data collection methods, FDA techniques are increasingly applied in finance, biostatistics, engineering, environmental sciences, etc. Hence, this Special Issue also focuses on the application of functional data analysis methods in various fields, including but not limited to climate science, financial forecasting, biostatistics, and environmental science. With the exponential growth of data scales and the increasing demand for adaptive learning frameworks, this Special Issue emphasizes innovations in ‌large-scale FDA‌, ‌semi-supervised learning‌, and ‌transfer learning‌ to address challenges in cross-domain generalization and computational efficiency. Contributions bridging FDA with modern machine learning paradigms are particularly encouraged.

Dr. Jianjun Zhou
Prof. Dr. Jong-Min Kim
Guest Editors

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Keywords

  • functional data analysis
  • high-dimensional data
  • transfer learning
  • semi-supervised learning
  • machine learning
  • distributed inference
  • subsampling
  • functional regression analysis

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Published Papers (1 paper)

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Research

15 pages, 358 KiB  
Article
Multi-Task CNN-LSTM Modeling of Zero-Inflated Count and Time-to-Event Outcomes for Causal Inference with Functional Representation of Features
by Jong-Min Kim
Axioms 2025, 14(8), 626; https://doi.org/10.3390/axioms14080626 - 11 Aug 2025
Abstract
We propose a novel deep learning framework for counterfactual inference on the COMPAS dataset, utilizing a multi-task CNN-LSTM architecture. The model jointly predicts multiple outcome types: (i) count outcomes with zero inflation, modeled using zero-inflated Poisson (ZIP), zero-inflated negative binomial (ZINB), and negative [...] Read more.
We propose a novel deep learning framework for counterfactual inference on the COMPAS dataset, utilizing a multi-task CNN-LSTM architecture. The model jointly predicts multiple outcome types: (i) count outcomes with zero inflation, modeled using zero-inflated Poisson (ZIP), zero-inflated negative binomial (ZINB), and negative binomial (NB) distributions; (ii) time-to-event outcomes, modeled via the Cox proportional hazards model. To effectively leverage the structure in high-dimensional tabular data, we integrate functional data analysis (FDA) techniques by transforming covariates into smooth functional representations using B-spline basis expansions. Specifically, we construct a pseudo-temporal index over predictor variables and fit basis expansions to each subject’s feature vector, yielding a low-dimensional set of coefficients that preserve smooth variation while reducing noise. This functional representation enables the CNN-LSTM model to capture both local and global temporal patterns in the data, including treatment-covariate interactions. Our approach estimates both population-average and individual-level treatment effects (ATE and CATE) for each outcome and evaluates predictive performance using metrics such as Poisson deviance, root mean squared error (RMSE), and the concordance index (C-index). Statistical inference on treatment effects is supported via bootstrap-based confidence intervals and hypothesis testing. Overall, this comprehensive framework facilitates flexible modeling of heterogeneous treatment effects in structured, high-dimensional data, advancing causal inference methodologies in criminal justice and related domains. Full article
(This article belongs to the Special Issue Functional Data Analysis and Its Application)
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