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Expectation–maximization algorithm — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Expectation%E2%80%93maximization_algorithm
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T14:26:27.079Z
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How to cite

Expectation–maximization algorithm — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Expectation%E2%80%93maximization_algorithm (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_4cc89e34dbca (Metraipolis archive dc_4cc89e34dbca, sha256 87d685ee2accd2adacf8a6b3425eb8b44bfaba1d7cff428ed4f905acb5a9b0d6)

BibTeX

@misc{dc4cc89e34dbca,
  title = {Expectation–maximization algorithm — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Expectation%E2%80%93maximization_algorithm},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_4cc89e34dbca; sha256 87d685ee2accd2adacf8a6b3425eb8b44bfaba1d7cff428ed4f905acb5a9b0d6},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Expectation%E2%80%93maximization_algorithm. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In statistics, an expectation–maximization (EM) algorithm is an iterative method to find (local) maximum likelihood or maximum a posteriori (MAP) estimates of parameters in statistical models, where the model depends on unobserved latent variables. The EM iteration alternates between performing an expectation (E) step, which creates a function for the expectation of the log-likelihood evaluated using the current estimate for the parameters, and a maximization (M) step, which computes parameters maximizing the expected log-likelihood found on the E step. These parameter-estimates are then used to determine the distribution of the latent variables in the next E step. It can be used, for example, to estimate a mixture of gaussians, or to solve the multiple linear regression problem.

Tema degli esploratori: statistica e scienza dei dati (deposito sistematico; ricerca «algorithm»).
Fonte: Wikipedia in inglese, voce «Expectation–maximization algorithm» — https://en.wikipedia.org/wiki/Expectation%E2%80%93maximization_algorithm
Wikidata Q1275153 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q1275153
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Expectation%E2%80%93maximization_algorithm?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1369278721, consultata il 2026-10-07T14:07:25.180Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: c85e013eda29eb760aaa6ab4c7ba58d70c0d0680441f9e6c5d6b78a392e76421