Muamalah, Amanda Fatma
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TRANSFORMASI WAVELET DISKRIT UNTUK DENOISING CITRA Umam, Ahmad Khairul; Ngastiti, Pukky Tetralian Bantining; Alfan, Aris; Shahadah, Zaqiyatus; Muamalah, Amanda Fatma
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 2 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n2.p374-380

Abstract

Nowadays, topic of wavelet has many applications including image denoising. Wavelet Transform is divided into discrete wavelet transform and continuous wavelet transform. Besides for image denoising, it can also useful for image compression and others. In this research is discussed about steps image denoising using wavelet. Wavelets that used are Haar, Daubechies, biorthogonal, symlets and coiflets wavelets for hard thresholding and soft thresholding. Program is made according to steps/algorithm that were created. Then, we compare original image and result of image denoising. In this research, we use grayscale test image Lena and cat with size pixels. We use peak signal to noise ratio (PSNR) to measure performance of the algorithm. We also compare computational time.
KAJIAN TEOREMA TITIK TETAP DI RUANG B-METRIK YANG DIPERPANJANG Umam, Ahmad Khairul; Alfan, Aris; Isro'il, Ahmad; Shahadah, Zaqiyatus; Muamalah, Amanda Fatma
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 2 (2024)
Publisher : Universitas Negeri Surabaya

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

Abstract

This research gives more explaination in proof of theorem. The theorem is about existence and uniqueness a point is called fixed point in an extended b-metric space. Beside that, also we give example about extended b-metric space.
PERBANDINGAN HASIL MODEL REGRESI ROBUST ESTIMASI M (METHOD OF MOMENT), ESTIMASI M (MAXIMUM LIKELIHOOD TYPE), DAN ESTIMASI LTS (LEAST TRIMMED SQUARE) PADA PRODUKSI PADI DI KECAMATAN SEKARAN Muamalah, Amanda Fatma; Ngastiti, Pukky Tetralian Bintining; Isro’il, Ahmad
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 3 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n3.p540-548

Abstract

Regression analysis is a statistical method used to determine the effect of the dependent variable on the independent variable. The aim of regression analysis is to obtain an estimated model of regression model parameters from data. One of the methods used to estimate regression parameters is the MKT method (Least Squares Method). This method is not appropriate to use on data that contains outliers. Therefore, we need an alternative method that is robust to the presence of outliers, namely robust regression. In this study, the robust method used is robust regression, MM estimation, M estimation, and LTS estimation. The aim of this research is to compare the three estimation methods and select the best estimation model based on the coefficient of determination and mean square error. The case study in this research is rice production data in Sekaran sub-district with the dependent variable being rice production, the independent variables land area, productivity and population. The results of the research show that the Least Trimmed Square (LTS) robust regression method is the method that produces the best model, because the Least Trimmed Square (LTS) method has a greater determination value and a smaller Mean Square Error (MSE) compared to the MM estimation and M estimation methods.