JTAM (Jurnal Teori dan Aplikasi Matematika)
Vol 10, No 3 (2026): July

Handling Missing Values using Weighted Linear Combination of KNN-SVD: A Case Study of Rainfall Data in West Java

Rizkian Agung Jamaesa (Magister of Applied Mathematics, School of Science Data, Mathematics, and Informatics, IPB University)
Sri Nurdiati (Division of Computational Mathematics, School of Science Data, Mathematics and Informatics, IPB University)
Elis Khatizah (Division of Computational Mathematics, School of Science Data, Mathematics and Informatics, IPB University)
Mohamad Khoirun Najib (Division of Computational Mathematics, School of Science Data, Mathematics and Informatics, IPB University)
Lilis Sri Wahyuni (Magister of Applied Mathematics, School of Science Data, Mathematics, and Informatics, IPB University)



Article Info

Publish Date
24 Jun 2026

Abstract

This study is an experimental and comparative quantitative research that evaluates missing value imputation methods for daily rainfall data in West Java. Rainfall data are crucial for environmental policies, particularly in flood control and water resource management. Daily rainfall records from five BMKG stations in West Java were used in this study. Although these stations provide accurate data through direct measurement, missing values often occur due to human error or equipment problems. To solve this, we introduce an integrated imputation method that combines K-Nearest Neighbors (KNN) and Singular Value Decomposition (SVD) with a Weighted Linear Combination (WLC) approach. This method represents a significant improvement over the single-model imputation methods employed in earlier research. We split the dataset into training and testing sets using five different ratios (95:5%, 90:10%, 80:20%, 70:30%, and 64:40%) to test the model's performance. We measured effectiveness using Mean Absolute Error (MAE) and Root Mean Square Error (RMSE). The results show that the combined KNN–SVD method outperforms KNN or SVD alone in all cases. The best results were obtained from the 95:5% split, with the lowest MAE and RMSE values of 7.35 and 13.22, respectively. These results suggest that the integrated KNN–SVD imputation model enhances the reliability of rainfall datasets, thereby improving climate information for hydrological studies, disaster risk reduction, and policy-making in West Java.

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Journal Info

Abbrev

jtam

Publisher

Subject

Mathematics

Description

Jurnal Teori dan Aplikasi Matematika (JTAM) dikelola oleh Program Studi Pendidikan Matematika FKIP Universitas Muhammadiyah Mataram dengan ISSN (Cetak) 2597-7512 dan ISSN (Online) 2614-1175. Tim Redaksi menerima hasil penelitian, pemikiran, dan kajian tentang (1) Pengembangan metode atau model ...