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MICE Implementation to Handle Missing Values in Rain Potential Prediction Using Support Vector Machine Algorithm Putri, Aina Latifa Riyana; Surarso, Bayu; SRRM, Titi Udjiani
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 4 (2023): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i4.16699

Abstract

Support Vector Machine (SVM) is a machine learning algorithm used for classification. SVM has several advantages such as the ability to handle high-dimensional data, effective in handling nonlinear data through kernel functions, and resistance to overfitting through soft margins. However, SVM has weaknesses, especially when handling missing values in data. The use of SVM must consider the missing values strategy chosen. Missing values in data mining is a serious problem for researchers because it causes many problems such as loss of efficiency, complications in data handling and analysis, and the occurrence of bias due to differences between missing data and complete data. To overcome the above problems, this research focuses on understanding the characteristics of missing values and handling them using the Multiple Imputation by Chained Equations (MICE) technique. In this study, we utilized secondary data experiments that contain missing values from the Meteorological, Climatological, and Geophysical Agency (called BMKG) related to predictions of potential rain, especially in DKI Jakarta. Identification of types or patterns of missing values, exploration of the relationship between missing values and other variables, incorporation of the MICE method to handle missing values, and the Support Vector Machine Algorithm for classification will be carried out to produce a more reliable and accurate prediction model for rain potential. It shows that the imputation method with the MICE gives better results than other techniques (such as Complete Case Analysis, Imputation Method Mean, Median, Mode, and K-Nearest neighbor), namely an accuracy of 89% testing data when applying the Support Vector Machine algorithm for classification.
Kontrol Optimal Model Dinamik Penyebaran Penyakit Tuberkulosis dengan Kekambuhan di Kota Semarang Alhusna, Lathifatul Inayah; Herdiana, Ratna; Udjiani, Titi
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 3 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 3 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

In this study, we modified the SVIR (Susceptible, Vaccinated, Infectious, Recovered) dynamic model by considering relapse in the spread of Tuberculosis (TB). To reduce the spread of TB, we applied optimal control theory using Pontryagin's Minimum Principle. Two control variables were used: TB prevention education and treatment for actively infected individuals. This optimal control system was solved through numerical simulations using the Forward-Backward Sweep and fourth-order Runge-Kutta methods. The results of the numerical simulations were used to illustrate the difference between implementing a control strategy and no control. The results showed that the education intervention was able to reduce the actively infected subpopulation by 99.74%, while if the treatment intervention alone was given, the number of infected individuals showed a decrease of 99.69%. However, when both interventions were implemented simultaneously, the actively infected subpopulation was able to be reduced by up to 99.90%. In this case, implementing education and treatment controls simultaneously was more effective than implementing the controls separately and was able to significantly increase the recovered subpopulation, indicating more optimal disease control