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https://github.com/SheffieldML/GPy.git
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Merge branch 'params' of github.com:SheffieldML/GPy into params
This commit is contained in:
commit
607ed98e51
8 changed files with 65 additions and 32 deletions
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@ -42,7 +42,10 @@ class GP(Model):
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assert Y.shape[0] == self.num_data
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assert Y.shape[0] == self.num_data
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_, self.output_dim = self.Y.shape
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_, self.output_dim = self.Y.shape
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self.Y_metadata = Y_metadata or {}
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if Y_metadata is None:
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Y_metadata = {}
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else:
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self.Y_metadata = Y_metadata
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assert isinstance(kernel, kern.Kern)
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assert isinstance(kernel, kern.Kern)
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#assert self.input_dim == kernel.input_dim
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#assert self.input_dim == kernel.input_dim
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@ -3,6 +3,7 @@
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from posterior import Posterior
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from posterior import Posterior
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from ...util.linalg import jitchol, tdot, dtrtrs, dpotri, pdinv
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from ...util.linalg import jitchol, tdot, dtrtrs, dpotri, pdinv
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from ...util import diag
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import numpy as np
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import numpy as np
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log_2_pi = np.log(2*np.pi)
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log_2_pi = np.log(2*np.pi)
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@ -14,8 +15,7 @@ class FITC(object):
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the posterior.
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the posterior.
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"""
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"""
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def __init__(self):
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const_jitter = 1e-6
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self.const_jitter = 1e-6
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def inference(self, kern, X, Z, likelihood, Y):
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def inference(self, kern, X, Z, likelihood, Y):
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@ -33,6 +33,7 @@ class FITC(object):
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U = Knm
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U = Knm
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#factor Kmm
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#factor Kmm
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diag.add(Kmm, self.const_jitter)
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Kmmi, L, Li, _ = pdinv(Kmm)
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Kmmi, L, Li, _ = pdinv(Kmm)
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#compute beta_star, the effective noise precision
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#compute beta_star, the effective noise precision
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@ -8,7 +8,7 @@ import itertools
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def index_to_slices(index):
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def index_to_slices(index):
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"""
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"""
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take a numpy array of integers (index) and return a nested list of slices such that the slices describe the start, stop points for each integer in the index.
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take a numpy array of integers (index) and return a nested list of slices such that the slices describe the start, stop points for each integer in the index.
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e.g.
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e.g.
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>>> index = np.asarray([0,0,0,1,1,1,2,2,2])
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>>> index = np.asarray([0,0,0,1,1,1,2,2,2])
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@ -40,6 +40,7 @@ class IndependentOutputs(CombinationKernel):
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The index of the functions is given by the last column in the input X
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The index of the functions is given by the last column in the input X
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the rest of the columns of X are passed to the underlying kernel for computation (in blocks).
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the rest of the columns of X are passed to the underlying kernel for computation (in blocks).
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Kern is wrapped with a slicer metaclass
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"""
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"""
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def __init__(self, kern, index_dim=-1, name='independ'):
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def __init__(self, kern, index_dim=-1, name='independ'):
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assert isinstance(index_dim, int), "IndependentOutputs kernel is only defined with one input dimension being the indeces"
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assert isinstance(index_dim, int), "IndependentOutputs kernel is only defined with one input dimension being the indeces"
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@ -15,21 +15,21 @@ class Stationary(Kern):
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"""
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"""
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Stationary kernels (covariance functions).
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Stationary kernels (covariance functions).
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Stationary covariance fucntion depend only on r, where r is defined as
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Stationary covariance fucntion depend only on r, where r is defined as
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r = \sqrt{ \sum_{q=1}^Q (x_q - x'_q)^2 }
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r = \sqrt{ \sum_{q=1}^Q (x_q - x'_q)^2 }
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The covariance function k(x, x' can then be written k(r).
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The covariance function k(x, x' can then be written k(r).
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In this implementation, r is scaled by the lengthscales parameter(s):
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In this implementation, r is scaled by the lengthscales parameter(s):
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r = \sqrt{ \sum_{q=1}^Q \frac{(x_q - x'_q)^2}{\ell_q^2} }.
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r = \sqrt{ \sum_{q=1}^Q \frac{(x_q - x'_q)^2}{\ell_q^2} }.
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By default, there's only one lengthscale: seaprate lengthscales for each
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By default, there's only one lengthscale: seaprate lengthscales for each
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dimension can be enables by setting ARD=True.
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dimension can be enables by setting ARD=True.
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To implement a stationary covariance function using this class, one need
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To implement a stationary covariance function using this class, one need
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only define the covariance function k(r), and it derivative.
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only define the covariance function k(r), and it derivative.
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...
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...
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def K_of_r(self, r):
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def K_of_r(self, r):
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@ -37,10 +37,10 @@ class Stationary(Kern):
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def dK_dr(self, r):
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def dK_dr(self, r):
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return bar
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return bar
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The lengthscale(s) and variance parameters are added to the structure automatically.
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The lengthscale(s) and variance parameters are added to the structure automatically.
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"""
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"""
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def __init__(self, input_dim, variance, lengthscale, ARD, active_dims, name):
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def __init__(self, input_dim, variance, lengthscale, ARD, active_dims, name):
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super(Stationary, self).__init__(input_dim, active_dims, name)
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super(Stationary, self).__init__(input_dim, active_dims, name)
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self.ARD = ARD
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self.ARD = ARD
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@ -57,7 +57,7 @@ class Stationary(Kern):
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if lengthscale.size != input_dim:
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if lengthscale.size != input_dim:
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lengthscale = np.ones(input_dim)*lengthscale
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lengthscale = np.ones(input_dim)*lengthscale
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else:
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else:
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lengthscale = np.ones(self.input_dim)
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lengthscale = np.ones(self.input_dim)
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self.lengthscale = Param('lengthscale', lengthscale, Logexp())
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self.lengthscale = Param('lengthscale', lengthscale, Logexp())
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self.variance = Param('variance', variance, Logexp())
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self.variance = Param('variance', variance, Logexp())
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assert self.variance.size==1
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assert self.variance.size==1
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@ -95,7 +95,9 @@ class Stationary(Kern):
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#X2, = self._slice_X(X2)
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#X2, = self._slice_X(X2)
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X1sq = np.sum(np.square(X),1)
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X1sq = np.sum(np.square(X),1)
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X2sq = np.sum(np.square(X2),1)
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X2sq = np.sum(np.square(X2),1)
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return np.sqrt(-2.*np.dot(X, X2.T) + (X1sq[:,None] + X2sq[None,:]))
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r2 = -2.*np.dot(X, X2.T) + X1sq[:,None] + X2sq[None,:]
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r2[r2<0] = 0. # A bit hacky
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return np.sqrt(r2)
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@Cache_this(limit=5, ignore_args=())
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@Cache_this(limit=5, ignore_args=())
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def _scaled_dist(self, X, X2=None):
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def _scaled_dist(self, X, X2=None):
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@ -133,7 +135,7 @@ class Stationary(Kern):
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if self.ARD:
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if self.ARD:
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#rinv = self._inv_dis# this is rather high memory? Should we loop instead?t(X, X2)
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#rinv = self._inv_dis# this is rather high memory? Should we loop instead?t(X, X2)
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#d = X[:, None, :] - X2[None, :, :]
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#d = X[:, None, :] - X2[None, :, :]
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#x_xl3 = np.square(d)
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#x_xl3 = np.square(d)
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#self.lengthscale.gradient = -((dL_dr*rinv)[:,:,None]*x_xl3).sum(0).sum(0)/self.lengthscale**3
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#self.lengthscale.gradient = -((dL_dr*rinv)[:,:,None]*x_xl3).sum(0).sum(0)/self.lengthscale**3
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tmp = dL_dr*self._inv_dist(X, X2)
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tmp = dL_dr*self._inv_dist(X, X2)
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if X2 is None: X2 = X
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if X2 is None: X2 = X
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@ -247,7 +249,7 @@ class Matern52(Stationary):
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.. math::
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.. math::
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k(r) = \sigma^2 (1 + \sqrt{5} r + \\frac53 r^2) \exp(- \sqrt{5} r)
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k(r) = \sigma^2 (1 + \sqrt{5} r + \\frac53 r^2) \exp(- \sqrt{5} r)
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"""
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"""
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def __init__(self, input_dim, variance=1., lengthscale=None, ARD=False, active_dims=None, name='Mat52'):
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def __init__(self, input_dim, variance=1., lengthscale=None, ARD=False, active_dims=None, name='Mat52'):
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super(Matern52, self).__init__(input_dim, variance, lengthscale, ARD, active_dims, name)
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super(Matern52, self).__init__(input_dim, variance, lengthscale, ARD, active_dims, name)
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@ -142,7 +142,12 @@ class Likelihood(Parameterized):
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"""
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"""
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#conditional_mean: the edpected value of y given some f, under this likelihood
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#conditional_mean: the edpected value of y given some f, under this likelihood
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def int_mean(f,m,v):
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def int_mean(f,m,v):
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return self.conditional_mean(f)*np.exp(-(0.5/v)*np.square(f - m))
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p = np.exp(-(0.5/v)*np.square(f - m))
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#If p is zero then conditional_mean will overflow
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if p < 1e-10:
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return 0.
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else:
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return self.conditional_mean(f)*p
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scaled_mean = [quad(int_mean, -np.inf, np.inf,args=(mj,s2j))[0] for mj,s2j in zip(mu,variance)]
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scaled_mean = [quad(int_mean, -np.inf, np.inf,args=(mj,s2j))[0] for mj,s2j in zip(mu,variance)]
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mean = np.array(scaled_mean)[:,None] / np.sqrt(2*np.pi*(variance))
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mean = np.array(scaled_mean)[:,None] / np.sqrt(2*np.pi*(variance))
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@ -165,7 +170,12 @@ class Likelihood(Parameterized):
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# E( V(Y_star|f_star) )
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# E( V(Y_star|f_star) )
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def int_var(f,m,v):
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def int_var(f,m,v):
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return self.conditional_variance(f)*np.exp(-(0.5/v)*np.square(f - m))
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p = np.exp(-(0.5/v)*np.square(f - m))
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#If p is zero then conditional_variance will overflow
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if p < 1e-10:
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return 0.
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else:
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return self.conditional_variance(f)*p
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scaled_exp_variance = [quad(int_var, -np.inf, np.inf,args=(mj,s2j))[0] for mj,s2j in zip(mu,variance)]
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scaled_exp_variance = [quad(int_var, -np.inf, np.inf,args=(mj,s2j))[0] for mj,s2j in zip(mu,variance)]
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exp_var = np.array(scaled_exp_variance)[:,None] / normalizer
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exp_var = np.array(scaled_exp_variance)[:,None] / normalizer
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@ -178,7 +188,13 @@ class Likelihood(Parameterized):
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#E( E(Y_star|f_star)**2 )
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#E( E(Y_star|f_star)**2 )
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def int_pred_mean_sq(f,m,v,predictive_mean_sq):
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def int_pred_mean_sq(f,m,v,predictive_mean_sq):
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return self.conditional_mean(f)**2*np.exp(-(0.5/v)*np.square(f - m))
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p = np.exp(-(0.5/v)*np.square(f - m))
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#If p is zero then conditional_mean**2 will overflow
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if p < 1e-10:
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return 0.
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else:
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return self.conditional_mean(f)**2*p
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scaled_exp_exp2 = [quad(int_pred_mean_sq, -np.inf, np.inf,args=(mj,s2j,pm2j))[0] for mj,s2j,pm2j in zip(mu,variance,predictive_mean_sq)]
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scaled_exp_exp2 = [quad(int_pred_mean_sq, -np.inf, np.inf,args=(mj,s2j,pm2j))[0] for mj,s2j,pm2j in zip(mu,variance,predictive_mean_sq)]
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exp_exp2 = np.array(scaled_exp_exp2)[:,None] / normalizer
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exp_exp2 = np.array(scaled_exp_exp2)[:,None] / normalizer
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@ -6,6 +6,9 @@ from scipy import stats
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import scipy as sp
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import scipy as sp
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from GPy.util.univariate_Gaussian import std_norm_pdf,std_norm_cdf,inv_std_norm_cdf
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from GPy.util.univariate_Gaussian import std_norm_pdf,std_norm_cdf,inv_std_norm_cdf
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_exp_lim_val = np.finfo(np.float64).max
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_lim_val = np.log(_exp_lim_val)
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class GPTransformation(object):
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class GPTransformation(object):
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"""
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"""
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Link function class for doing non-Gaussian likelihoods approximation
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Link function class for doing non-Gaussian likelihoods approximation
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@ -92,16 +95,16 @@ class Log(GPTransformation):
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"""
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"""
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def transf(self,f):
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def transf(self,f):
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return np.exp(f)
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return np.exp(np.clip(f, -_lim_val, _lim_val))
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def dtransf_df(self,f):
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def dtransf_df(self,f):
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return np.exp(f)
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return np.exp(np.clip(f, -_lim_val, _lim_val))
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def d2transf_df2(self,f):
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def d2transf_df2(self,f):
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return np.exp(f)
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return np.exp(np.clip(f, -_lim_val, _lim_val))
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def d3transf_df3(self,f):
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def d3transf_df3(self,f):
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return np.exp(f)
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return np.exp(np.clip(f, -_lim_val, _lim_val))
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class Log_ex_1(GPTransformation):
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class Log_ex_1(GPTransformation):
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"""
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"""
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@ -21,7 +21,7 @@ class Poisson(Likelihood):
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"""
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"""
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def __init__(self, gp_link=None):
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def __init__(self, gp_link=None):
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if gp_link is None:
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if gp_link is None:
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gp_link = link_functions.Log_ex_1()
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gp_link = link_functions.Log()
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super(Poisson, self).__init__(gp_link, name='Poisson')
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super(Poisson, self).__init__(gp_link, name='Poisson')
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@ -143,7 +143,7 @@ class Poisson(Likelihood):
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"""
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"""
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return self.gp_link.transf(gp)
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return self.gp_link.transf(gp)
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def samples(self, gp):
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def samples(self, gp, Y_metadata=None):
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"""
|
"""
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Returns a set of samples of observations based on a given value of the latent variable.
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Returns a set of samples of observations based on a given value of the latent variable.
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@ -120,6 +120,8 @@ def check_kernel_gradient_functions(kern, X=None, X2=None, output_ind=None, verb
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if verbose:
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if verbose:
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print("Checking covariance function is positive definite.")
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print("Checking covariance function is positive definite.")
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#if isinstance(kern, GPy.kern.IndependentOutputs):
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#import ipdb; ipdb.set_trace() # XXX BREAKPOINT
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result = Kern_check_model(kern, X=X).is_positive_semi_definite()
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result = Kern_check_model(kern, X=X).is_positive_semi_definite()
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if result and verbose:
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if result and verbose:
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print("Check passed.")
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print("Check passed.")
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@ -306,17 +308,22 @@ class KernelTestsNonContinuous(unittest.TestCase):
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D = self.D
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D = self.D
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self.X = np.random.randn(N,D)
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self.X = np.random.randn(N,D)
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self.X2 = np.random.randn(N1,D)
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self.X2 = np.random.randn(N1,D)
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self.X_block = np.zeros((N+N1, D+D+1))
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#self.X_block = np.zeros((N+N1, D+D+1))
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#self.X_block[0:N, 0:D] = self.X
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#self.X_block[N:N+N1, D:D+D] = self.X2
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#self.X_block[0:N, -1] = 0
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#self.X_block[N:N+N1, -1] = 1
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self.X_block = np.zeros((N+N1, D+1))
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self.X_block[0:N, 0:D] = self.X
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self.X_block[0:N, 0:D] = self.X
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self.X_block[N:N+N1, D:D+D] = self.X2
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self.X_block[N:N+N1, 0:D] = self.X2
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self.X_block[0:N, -1] = 1
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self.X_block[0:N, -1] = 0
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self.X_block[N:N+1, -1] = 2
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self.X_block[N:N+N1, -1] = 1
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self.X_block = self.X_block[self.X_block.argsort(0)[:, -1], :]
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self.X_block = self.X_block[self.X_block.argsort(0)[:, -1], :]
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def test_IndependentOutputs(self):
|
def test_IndependentOutputs(self):
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k = GPy.kern.RBF(self.D)
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k = GPy.kern.RBF(self.D)
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kern = GPy.kern.IndependentOutputs(k, -1)
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kern = GPy.kern.IndependentOutputs(k, -1)
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self.assertTrue(check_kernel_gradient_functions(kern, X=self.X_block, X2=self.X_block, verbose=verbose))
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self.assertTrue(check_kernel_gradient_functions(kern, X=self.X_block, verbose=verbose))
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if __name__ == "__main__":
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if __name__ == "__main__":
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print "Running unit tests, please be (very) patient..."
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print "Running unit tests, please be (very) patient..."
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||||||
|
|
|
||||||
Loading…
Add table
Add a link
Reference in a new issue