Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Statistician
|
| gptkbp:characterized_by |
concentration parameters
|
| gptkbp:has_applications_in |
gptkb:machine_learning
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet distribution
|
| gptkbp:is_a |
generalization of beta distribution
|
| gptkbp:is_applied_in |
gptkb:market_research
gptkb:Genetics financial modeling |
| gptkbp:is_characterized_by |
concentration parameter α
non-negative parameters parameterization by concentration parameters symmetric and asymmetric forms |
| gptkbp:is_defined_by |
K-dimensional probability space
K-dimensional simplex a set of positive real numbers |
| gptkbp:is_expressed_in |
gptkb:probability_density_function
D(alpha_1, alpha_2, ..., alpha_ K) D(α) = (1/ Z(α)) * Π (x_i^(α_i -1)) terms of its parameters α_i |
| gptkbp:is_implemented_in |
Bayesian networks
|
| gptkbp:is_often_used_in |
natural language processing
psychometrics bioinformatics social sciences |
| gptkbp:is_parameter_of |
gptkb:Dirichlet_process
Dirichlet-multinomial distribution |
| gptkbp:is_related_to |
gptkb:Dirichlet_process
Bayesian inference Dirichlet process mixture model Gamma distribution conjugate prior |
| gptkbp:is_used_for |
feature extraction
analyzing categorical data analyzing proportions in surveys modeling proportions |
| gptkbp:is_used_in |
image processing
statistical modeling topic modeling clustering algorithms |
| gptkbp:is_utilized_in |
gptkb:sports_team
economics data science recommendation systems |
| gptkbp:mean |
alpha / sum(alpha)
|
| gptkbp:model |
random vectors
|
| gptkbp:orbital_period |
alpha
|
| gptkbp:related_to |
multinomial distribution
|
| gptkbp:support |
simplex
|
| gptkbp:used_in |
gptkb:Statistician
|
| gptkbp:variance |
(alpha_i * (sum(alpha) -alpha_i)) / (sum(alpha)^2 * (sum(alpha) + 1))
|
| gptkbp:bfsParent |
gptkb:Dirichlet_process
|
| gptkbp:bfsLayer |
7
|