Merge branch 'newGP' of github.com:SheffieldML/GPy into newGP

Conflicts:
	GPy/likelihoods/EP.py
	GPy/likelihoods/likelihood_functions.py
This commit is contained in:
Ricardo Andrade 2013-02-01 13:19:59 +00:00
commit 879fa138e1
7 changed files with 464 additions and 369 deletions

View file

@ -9,18 +9,22 @@ import pylab as pb
from ..util.plot import gpplot
#from . import EP
class likelihood:
class likelihood_function:
"""
Likelihood class for doing Expectation propagation
:param Y: observed output (Nx1 numpy.darray)
..Note:: Y values allowed depend on the likelihood used
..Note:: Y values allowed depend on the likelihood_function used
"""
def __init__(self,location=0,scale=1):
self.location = location
self.scale = scale
<<<<<<< HEAD
class Probit(likelihood):
=======
class probit(likelihood_function):
>>>>>>> 346f9dd8bd3207959b87ded258e55aeb094f1ea3
"""
Probit likelihood
Y is expected to take values in {-1,1}
@ -29,6 +33,11 @@ class Probit(likelihood):
L(x) = \\Phi (Y_i*f_i)
$$
"""
<<<<<<< HEAD
=======
def __init__(self,location=0,scale=1):
likelihood_function.__init__(self,Y,location,scale)
>>>>>>> 346f9dd8bd3207959b87ded258e55aeb094f1ea3
def moments_match(self,data_i,tau_i,v_i):
"""
@ -57,7 +66,11 @@ class Probit(likelihood):
p_95 = np.ones([mu.size])
return mean, p_05, p_95
<<<<<<< HEAD
class Poisson(likelihood):
=======
class poisson(likelihood_function):
>>>>>>> 346f9dd8bd3207959b87ded258e55aeb094f1ea3
"""
Poisson likelihood
Y is expected to take values in {0,1,2,...}
@ -66,6 +79,12 @@ class Poisson(likelihood):
L(x) = \exp(\lambda) * \lambda**Y_i / Y_i!
$$
"""
<<<<<<< HEAD
=======
def __init__(self,Y,location=0,scale=1):
assert len(Y[Y<0]) == 0, "Output cannot have negative values"
likelihood_function.__init__(self,Y,location,scale)
>>>>>>> 346f9dd8bd3207959b87ded258e55aeb094f1ea3
def moments_match(self,i,tau_i,v_i):
"""
@ -129,7 +148,54 @@ class Poisson(likelihood):
Compute mean, and conficence interval (percentiles 5 and 95) of the prediction
"""
mean = np.exp(mu*self.scale + self.location)
<<<<<<< HEAD
tmp = stats.poisson.ppf(np.array([.05,.95]),mu)
p_05 = tmp[:,0]
p_95 = tmp[:,1]
return mean,p_05,p_95
=======
if all:
tmp = stats.poisson.ppf(np.array([.05,.95]),mu)
p_05 = tmp[:,0]
p_95 = tmp[:,1]
return mean,mean,p_05,p_95
else:
return mean
def _log_likelihood_gradients():
raise NotImplementedError
def plot(self,X,mu,var,phi,X_obs,Z=None,samples=0):
assert X_obs.shape[1] == 1, 'Number of dimensions must be 1'
gpplot(X,phi,phi.flatten())
pb.plot(X_obs,self.Y,'kx',mew=1.5)
if samples:
phi_samples = np.vstack([np.random.poisson(phi.flatten(),phi.size) for s in range(samples)])
pb.plot(X,phi_samples.T, alpha = 0.4, c='#3465a4', linewidth = 0.8)
if Z is not None:
pb.plot(Z,Z*0+pb.ylim()[0],'k|',mew=1.5,markersize=12)
class gaussian(likelihood_function):
"""
Gaussian likelihood
Y is expected to take values in (-inf,inf)
"""
def moments_match(self,i,tau_i,v_i):
"""
Moments match of the marginal approximation in EP algorithm
:param i: number of observation (int)
:param tau_i: precision of the cavity distribution (float)
:param v_i: mean/variance of the cavity distribution (float)
"""
mu = v_i/tau_i
sigma = np.sqrt(1./tau_i)
s = 1. if self.Y[i] == 0 else 1./self.Y[i]
sigma2_hat = 1./(1./sigma**2 + 1./s**2)
mu_hat = sigma2_hat*(mu/sigma**2 + self.Y[i]/s**2)
Z_hat = 1./np.sqrt(2*np.pi) * 1./np.sqrt(sigma**2+s**2) * np.exp(-.5*(mu-self.Y[i])**2/(sigma**2 + s**2))
return Z_hat, mu_hat, sigma2_hat
def _log_likelihood_gradients():
raise NotImplementedError
>>>>>>> 346f9dd8bd3207959b87ded258e55aeb094f1ea3