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numerical stable implementation of rational qudratic
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1 changed files with 9 additions and 6 deletions
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@ -489,18 +489,21 @@ class RatQuad(Stationary):
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self.link_parameters(self.power)
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def K_of_r(self, r):
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r2 = np.power(r, 2.)
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return self.variance*np.power(1. + r2/2., -self.power)
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r2 = np.square(r)
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# return self.variance*np.power(1. + r2/2., -self.power)
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return self.variance*np.exp(-self.power*np.log1p(r2/2.))
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def dK_dr(self, r):
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r2 = np.power(r, 2.)
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return -self.variance*self.power*r*np.power(1. + r2/2., - self.power - 1.)
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r2 = np.square(r)
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# return -self.variance*self.power*r*np.power(1. + r2/2., - self.power - 1.)
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return-self.variance*self.power*r*np.exp(-(self.power+1)*np.log1p(r2/2.))
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def update_gradients_full(self, dL_dK, X, X2=None):
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super(RatQuad, self).update_gradients_full(dL_dK, X, X2)
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r = self._scaled_dist(X, X2)
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r2 = np.power(r, 2.)
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dK_dpow = -self.variance * np.power(2., self.power) * np.power(r2 + 2., -self.power) * np.log(0.5*(r2+2.))
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r2 = np.square(r)
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# dK_dpow = -self.variance * np.power(2., self.power) * np.power(r2 + 2., -self.power) * np.log(0.5*(r2+2.))
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dK_dpow = -self.variance * np.exp(self.power*(np.log(2.)-np.log1p(r2+1)))*np.log1p(r2/2.)
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grad = np.sum(dL_dK*dK_dpow)
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self.power.gradient = grad
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