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implemented inverse Gamma prior
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2 changed files with 28 additions and 4 deletions
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@ -66,7 +66,7 @@ class model(parameterised):
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# check constraints are okay
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if isinstance(what, (priors.gamma, priors.log_Gaussian)):
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if isinstance(what, (priors.gamma, priors.inverse_gamma, priors.log_Gaussian)):
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constrained_positive_indices = [i for i, t in zip(self.constrained_indices, self.constraints) if t.domain == 'positive']
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if len(constrained_positive_indices):
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constrained_positive_indices = np.hstack(constrained_positive_indices)
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@ -26,7 +26,6 @@ class Gaussian(prior):
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:param mu: mean
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:param sigma: standard deviation
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.. Note:: Bishop 2006 notation is used throughout the code
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"""
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@ -144,7 +143,6 @@ def gamma_from_EV(E,V):
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b = E/V
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return gamma(a,b)
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class gamma(prior):
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"""
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Implementation of the Gamma probability function, coupled with random variables.
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@ -155,7 +153,6 @@ class gamma(prior):
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.. Note:: Bishop 2006 notation is used throughout the code
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"""
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def __init__(self,a,b):
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self.a = float(a)
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self.b = float(b)
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@ -183,3 +180,30 @@ class gamma(prior):
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def rvs(self,n):
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return np.random.gamma(scale=1./self.b,shape=self.a,size=n)
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class inverse_gamma(prior):
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"""
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Implementation of the inverse-Gamma probability function, coupled with random variables.
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:param a: shape parameter
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:param b: rate parameter (warning: it's the *inverse* of the scale)
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.. Note:: Bishop 2006 notation is used throughout the code
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"""
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def __init__(self,a,b):
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self.a = float(a)
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self.b = float(b)
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self.constant = -gammaln(self.a) + a*np.log(b)
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def __str__(self):
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return "iGa("+str(np.round(self.a))+', '+str(np.round(self.b))+')'
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def lnpdf(self,x):
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return self.constant - (self.a+1)*np.log(x) - self.b/x
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def lnpdf_grad(self,x):
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return -(self.a+1.)/x + self.b/x**2
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def rvs(self,n):
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return 1./np.random.gamma(scale=1./self.b,shape=self.a,size=n)
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