Algoritma ekspektasi-maksimisasi


Dalam statistika, algoritma ekspektasi-maksimisasi (bahasa Inggris: expectation-maximization algorithm) atau algoritma EM (bahasa Inggris: EM algorithm) adalah metode berulang yang dipakai untuk mencari pendekatan nilai kemungkinan maksimum (bahasa Inggris: maximum likelihood) dan Maximum a Posteriori (MAP) dari parameter dalam sebuah model statistik, dimana modelnya bergantung pada variabel laten yang tidak diketahui.

Algoritma ekspektasi-maksimasi termasuk algoritma pengklasteran karena berupa basis perhitungan probabilitas.[1] Algoritma ini secara intuitif memiliki dua tahap, yaitu tahap ekspektasi dan tahap maksimisasi. Tahap ekspektasi merupakan tahap yang menentukan perhitungan ekspektasi sehingga diperoleh nilai estimasi parameternya,[2] sedangkan tahap maksimalisasi merupakan tahap yang mengulangi perhitungan parameter sehingga memaksimalkan nilai probabilitas.[1]

Penerapan algoritma ekspektasi-maksimisasi sangatlah luas, salah satunya adalah pembelajaran mesin, dimana algoritma ini dipakai sebagai metode pengelompok data.[3][4][5] Selain itu, algoritma ekspektasi-maksimisasi juga memiliki penerapan lainnya, seperti pengenalan ucapan, dan analisis faktor.

Rujukan

  1. ^ a b Sianturi, Fricles Ariwisanto; Hasugian, Paska Marto; Simangunsong, Agustina; Nadeak, Berto (2019-03-27). DATA MINING: Teori dan Aplikasi Weka. IOCS Publisher. hlm. 120. ISBN 978-602-51936-6-8. 
  2. ^ "Expectation Maximization (EM) Algorithm". BINUS UNIVERSITY MALANG | Pilihan Universitas Terbaik di Malang. 2021-11-04. Diakses tanggal 2022-02-14. 
  3. ^ "Mengenal Konsep Algoritma Expectation–maximization (EM)". Indowhiz. 2020-03-01. Diakses tanggal 2022-02-14. 
  4. ^ Kishor, Duggirala Raja; Venkateswarlu, N. B. (2016-07-01). "A Novel Hybridization of Expectation-Maximization and K-Means Algorithms for Better Clustering Performance". International Journal of Ambient Computing and Intelligence (IJACI) (dalam bahasa Inggris). 7 (2): 47–74. doi:10.4018/IJACI.2016070103. ISSN 1941-6237. [pranala nonaktif permanen]
  5. ^ Garriga, Joan; Palmer, John R. B.; Oltra, Aitana; Bartumeus, Frederic (2016-03-22). "Expectation-Maximization Binary Clustering for Behavioural Annotation". PLOS ONE (dalam bahasa Inggris). 11 (3): e0151984. doi:10.1371/journal.pone.0151984. ISSN 1932-6203. PMC 4803255 alt=Dapat diakses gratis. PMID 27002631. 
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