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베이즈 다항 로지스틱 회귀×Multinomial Logistic Regression×
분야통계학통계학
계열Regression modelRegression model
기원 연도1966 (classical); Bayesian extensions established by 1990s1966–1974
창시자Gelman et al. (Bayesian treatment); classical multinomial logit by Cox (1966)Cox (1966); Theil (1969); formalized by McFadden (1974)
유형Bayesian classification modelGeneralized linear model
원전Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Agresti, A. (2002). Categorical Data Analysis (2nd ed.). Wiley-Interscience. ISBN: 978-0471360933
별칭Bayesian polytomous logistic regression, Bayesian multinomial logit, Bayesian softmax regression, Bayesian nominal logistic regressionpolytomous logistic regression, softmax regression, multinomial logit, nominal logistic regression
관련54
요약Bayesian 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.Multinomial logistic regression extends binary logistic regression to outcomes with three or more unordered categories. It models the log-odds of each category relative to a chosen reference category as a linear function of the predictors, and estimates all parameters simultaneously via maximum likelihood. It is the standard choice when the dependent variable is nominal with multiple levels.
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