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Analisis Keakuratan Pendekatan Hybrid ARIMAX dan Radial Basis Function Neural Network pada Pemodelan Data Curah Hujan di Kota Makassar Wahidah Sanusi; Alimuddin Alimuddin; Muhammad Farhan; Nurlaila Kaito; Nurkhalifah Anwar
Indonesian Journal of Fundamental Sciences Vol 12, No 1 (2026)
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/ijfs.v12i1.85986

Abstract

Abstrak. Penelitian ini bertujuan untuk mengatasi keterbatasan tersebut dengan mengembangkan sebuah model peramalan hybrid, serta menganalisis tingkat akurasinya. Menggabungkan keunggulan pemodelan linier dan non-linier, penelitian ini menerapkan arsitektur hybrid SARIMAX-Radial Basis Function Neural Network (RBFNN). Model ini dibangun melalui pendekatan dua tahap: pertama, model SARIMAX dengan parameter (0,1,1)(0,1,1)₁₂ digunakan untuk memodelkan pola linear-musiman. Kedua, RBFNN dilatih secara spesifik untuk memetakan pola non-linear yang terkandung dalam residual (kesalahan) dari model SARIMAX. Kinerja model hybrid terhadap data pengujian menunjukkan hasil yang sangat positif, terbukti secara signifikan lebih akurat dibandingkan model SARIMAX tunggal. Model hybrid menunjukkan kemampuan superior dalam mengikuti fluktuasi data aktual, yang pada akhirnya menghasilkan prediksi dengan galat yang jauh lebih rendah. Akurasi yang lebih tinggi ini dikonfirmasi melalui nilai Mean Absolute Percentage Error (MAPE) yang lebih kecil, yang mengindikasikan potensi besar dari pendekatan hybrid ini untuk menyediakan peramalan meteorologi yang lebih efektif dan dapat diandalkan untuk Kota Makassar
Comparative Performance of Backpropagation and Radial Basis Function for Cum Laude Classification Nurkhalifah Anwar; Suwardi Annas; Rahmat Syam
Journal of Mathematics, Computations and Statistics Vol. 9 No. 3 (2026): Volume 09 Issue 03 (September 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/ff721j16

Abstract

Higher-education institutions store large academic records, but these data often remain administrative and provide limited support for model-based evaluation of graduation outcomes. In neural-network classification, method selection is important because Backpropagation and Radial Basis Function (RBF) networks learn through different mechanisms: Backpropagation iteratively adjusts weights by propagating error, whereas RBF represents data through distance-based responses around selected centres. Consequently, their accuracy, error balance, and computational time cannot be assumed to be equivalent for educational datasets and need to be compared under the same testing conditions. The comparison was intended to support method selection for the available alumni dataset rather than to propose an institution-wide deployment model. This study compared Backpropagation and RBF neural networks for retrospective classification of undergraduate alumni into Cum Laude and Non-Cum Laude groups and examined the predictive importance of the input variables. The dataset consisted of 824 alumni records from the Department of Mathematics, Universitas Negeri Makassar, with eight predictors: study programme, sex, admission route, study duration, tuition fee, graduated credits, age at entry, and final grade point average (GPA). After data cleaning, encoding, and Min-Max normalisation, the data were evaluated using a stratified 80:20 split, resulting in 659 training records and 165 test records. Twelve Backpropagation scenarios and twelve RBF scenarios were tested. Under the retained split and parameter grid, the best Backpropagation model used an 8-8-1 architecture and a learning rate of 0.01, achieving 98.79% accuracy and a 98.41% F1-score. The best RBF model used 40 centres and a spread of 0.8, achieving 87.88% accuracy and an 85.71% F1-score. RBF trained faster in the recorded Google Colab run, but Backpropagation produced fewer classification errors. Permutation importance showed that study duration (55.84%) and final GPA (35.17%) dominated the selected model. Because both variables are observed near graduation and are closely related to the administrative criteria for Cum Laude, the selected model should be interpreted as retrospective classification rather than early prediction.