symmetric Dirichlet distribution
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:all_concentration_parameters_equal |
true
|
| gptkbp:conjugate_prior_for |
multinomial likelihood
|
| gptkbp:hasSpecialCase |
gptkb:Dirichlet_distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
symmetric Dirichlet distribution
|
| gptkbp:mean_of_each_component |
1/K
|
| gptkbp:parameter |
concentration parameter alpha
dimension K |
| gptkbp:probability_density_function |
proportional to product of x_i^(alpha-1)
|
| gptkbp:relatedTo |
multinomial distribution
categorical distribution |
| gptkbp:sum_of_components |
1
|
| gptkbp:supports |
K-dimensional probability simplex
|
| gptkbp:type |
gptkb:Dirichlet_distribution
|
| gptkbp:used_as_prior_for |
multinomial distribution
|
| gptkbp:used_in |
gptkb:Latent_Dirichlet_Allocation_(LDA)
Bayesian statistics topic modeling |
| gptkbp:variance_of_each_component |
alpha*(K-1)/[K^2*(K*alpha+1)]
|
| gptkbp:bfsParent |
gptkb:Dirichlet_distribution
|
| gptkbp:bfsLayer |
6
|