Salīdzināt metodes
Apskatiet izvēlētās metodes blakus; rindas, kas atšķiras, ir izceltas.
| Bayesiskā multinomiālā logistiskā regresija× | Beijesas vispārinātais lineārais modelis× | |
|---|---|---|
| Nozare | Statistika | Statistika |
| Saime | Regression model | Regression model |
| Izcelsmes gads≠ | 1966 (classical); Bayesian extensions established by 1990s | 1989 (GLM); 1995 (Bayesian BDA) |
| Autors≠ | Gelman et al. (Bayesian treatment); classical multinomial logit by Cox (1966) | McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al. |
| Tips≠ | Bayesian classification model | Bayesian regression model |
| Pirmavots | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 |
| Citi nosaukumi | Bayesian polytomous logistic regression, Bayesian multinomial logit, Bayesian softmax regression, Bayesian nominal logistic regression | Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM |
| Saistītās≠ | 5 | 6 |
| Kopsavilkums≠ | Bayesian Multinomial Logistic Regression models a nominal outcome with three or more unordered categories by placing prior distributions over the regression coefficients and updating them with data via Bayes' theorem. The result is a full posterior distribution over category probabilities for each observation, enabling principled uncertainty quantification and regularization through the prior. | A Bayesian Generalized Linear Model (Bayesian GLM) extends the classical GLM framework by placing prior distributions on the regression coefficients and updating them with data via Bayes' theorem. This yields a full posterior distribution over parameters rather than single point estimates, enabling richer uncertainty quantification and principled incorporation of prior knowledge for any exponential-family outcome. |
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