entropy

49 triples

GPTKB property

hasEntropy

Subject	Object
gptkb:Standard_uniform_distribution	0
gptkb:standard_multivariate_normal_distribution	(n/2)(1+ln(2π))
gptkb:Exponential_distribution	1 - ln(lambda)
gptkb:Beta_distribution	log B(alpha, beta) - (alpha-1)psi(alpha) - (beta-1)psi(beta) + (alpha+beta-2)psi(alpha+beta)
gptkb:Categorical_distribution	-Σ p_i log p_i
gptkb:beta_distribution	log B(alpha, beta) - (alpha-1)ψ(alpha) - (beta-1)ψ(beta) + (alpha+beta-2)ψ(alpha+beta)
gptkb:Bernoulli_random_variable	-p log p - (1-p) log (1-p)
gptkb:Kerr–Newman_black_hole_(with_charge)	gptkb:Bekenstein–Hawking_entropy
gptkb:normal_distribution	0.5*ln(2πeσ²)
gptkb:Laplace_distribution	1 + ln(2b)
gptkb:multivariate_normal_distribution	(1/2) ln((2πe)^k \|Σ\|)
gptkb:Gumbel_distribution	ln(β) + γ + 1
gptkb:Uniform_distribution_(when_alpha=1,_beta=1)	0
gptkb:univariate_normal_distribution	0.5*ln(2πeσ^2)
gptkb:Gaussian_Distribution	0.5*ln(2πeσ^2)
gptkb:degenerate_distribution	0
gptkb:Bernoulli_distribution	-p log(p) - (1-p) log(1-p)
gptkb:Negative_binomial_distribution	Depends on r and p, no simple closed form
gptkb:double_exponential_distribution	1 + ln(2b)
gptkb:normal_distribution	0.5ln(2piesigma^2)