| Issue |
Math. Model. Nat. Phenom.
Volume 21, 2026
|
|
|---|---|---|
| Article Number | 3 | |
| Number of page(s) | 20 | |
| Section | Mathematical methods | |
| DOI | https://doi.org/10.1051/mmnp/2026001 | |
| Published online | 24 February 2026 | |
A new class of high-dimensional partially linear varying coefficient model and its applications
School of Mathematics and Statistics, Henan University of Science and Technology,
Luoyang
471023,
China
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
4
April
2025
Accepted:
31
December
2025
Abstract
This paper proposes a new method for solving a class of high-dimensional partially linear varying coefficient model. Firstly, an adaptive elastic net regularization term is added to the partially linear varying coefficient model to obtain a new model. This model improves the accuracy of the model by adjusting the parameter weights. Then, the ADMM method is used to solve the model parameters, and the convergence of the algorithm is analyzed. Subsequently, numerical simulations are conducted on high-dimensional datasets to demonstrate the effectiveness of the proposed method. Finally, the proposed method is applied to practical cases for testing and analysis, further verifying its effectiveness and application value.
Mathematics Subject Classification: 90C06 / 90C25 / 90C30 / 62J05
Key words: Partially linear varying coefficient model / adaptive elastic net / ADMM / variable selection
© The authors. Published by EDP Sciences, 2026
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