mirror of
https://github.com/SheffieldML/GPy.git
synced 2026-05-10 20:42:39 +02:00
Merge branch 'devel' of github.com:SheffieldML/GPy into devel
This commit is contained in:
James Hensman
commit
9c85911b87
37 changed files with 767 additions and 730 deletions
|
|
@ -2,7 +2,7 @@
|
|||
# Licensed under the BSD 3-clause license (see LICENSE.txt)
|
||||
|
||||
from model import *
|
||||
from parameterised import *
|
||||
from parameterized import *
|
||||
import priors
|
||||
from gp import GP
|
||||
from sparse_gp import SparseGP
|
||||
|
|
|
|||
|
|
@ -2,6 +2,22 @@
|
|||
Created on 4 Jun 2013
|
||||
|
||||
@author: maxz
|
||||
|
||||
(Hyper-)Parameter domains defined for :py:mod:`~GPy.core.priors` and :py:mod:`~GPy.kern`.
|
||||
These domains specify the legitimate realm of the parameters to live in.
|
||||
|
||||
:const:`~GPy.core.domains.REAL` :
|
||||
real domain, all values in the real numbers are allowed
|
||||
|
||||
:const:`~GPy.core.domains.POSITIVE`:
|
||||
positive domain, only positive real values are allowed
|
||||
|
||||
:const:`~GPy.core.domains.NEGATIVE`:
|
||||
same as :const:`~GPy.core.domains.POSITIVE`, but only negative values are allowed
|
||||
|
||||
:const:`~GPy.core.domains.BOUNDED`:
|
||||
only values within the bounded range are allowed,
|
||||
the bounds are specified withing the object with the bounded range
|
||||
'''
|
||||
|
||||
REAL = 'real'
|
||||
|
|
|
|||
|
|
@ -31,6 +31,13 @@ class GP(GPBase):
|
|||
GPBase.__init__(self, X, likelihood, kernel, normalize_X=normalize_X)
|
||||
self._set_params(self._get_params())
|
||||
|
||||
def getstate(self):
|
||||
return GPBase.getstate(self)
|
||||
|
||||
def setstate(self, state):
|
||||
GPBase.setstate(self, state)
|
||||
self._set_params(self._get_params())
|
||||
|
||||
def _set_params(self, p):
|
||||
self.kern._set_params_transformed(p[:self.kern.num_params_transformed()])
|
||||
self.likelihood._set_params(p[self.kern.num_params_transformed():])
|
||||
|
|
|
|||
|
|
@ -33,6 +33,31 @@ class GPBase(Model):
|
|||
# All leaf nodes should call self._set_params(self._get_params()) at
|
||||
# the end
|
||||
|
||||
def getstate(self):
|
||||
"""
|
||||
Get the current state of the class,
|
||||
here just all the indices, rest can get recomputed
|
||||
"""
|
||||
return Model.getstate(self) + [self.X,
|
||||
self.num_data,
|
||||
self.input_dim,
|
||||
self.kern,
|
||||
self.likelihood,
|
||||
self.output_dim,
|
||||
self._Xoffset,
|
||||
self._Xscale]
|
||||
|
||||
def setstate(self, state):
|
||||
self._Xscale = state.pop()
|
||||
self._Xoffset = state.pop()
|
||||
self.output_dim = state.pop()
|
||||
self.likelihood = state.pop()
|
||||
self.kern = state.pop()
|
||||
self.input_dim = state.pop()
|
||||
self.num_data = state.pop()
|
||||
self.X = state.pop()
|
||||
Model.setstate(self, state)
|
||||
|
||||
def plot_f(self, samples=0, plot_limits=None, which_data='all', which_parts='all', resolution=None, full_cov=False, fignum=None, ax=None):
|
||||
"""
|
||||
Plot the GP's view of the world, where the data is normalized and the
|
||||
|
|
|
|||
|
|
@ -6,32 +6,50 @@ from .. import likelihoods
|
|||
from ..inference import optimization
|
||||
from ..util.linalg import jitchol
|
||||
from GPy.util.misc import opt_wrapper
|
||||
from parameterised import Parameterised
|
||||
from parameterized import Parameterized
|
||||
import multiprocessing as mp
|
||||
import numpy as np
|
||||
from GPy.core.domains import POSITIVE, REAL
|
||||
from numpy.linalg.linalg import LinAlgError
|
||||
# import numdifftools as ndt
|
||||
|
||||
class Model(Parameterised):
|
||||
class Model(Parameterized):
|
||||
_fail_count = 0 # Count of failed optimization steps (see objective)
|
||||
_allowed_failures = 10 # number of allowed failures
|
||||
def __init__(self):
|
||||
Parameterised.__init__(self)
|
||||
Parameterized.__init__(self)
|
||||
self.priors = None
|
||||
self.optimization_runs = []
|
||||
self.sampling_runs = []
|
||||
self.preferred_optimizer = 'scg'
|
||||
# self._set_params(self._get_params()) has been taken out as it should only be called on leaf nodes
|
||||
def _get_params(self):
|
||||
raise NotImplementedError, "this needs to be implemented to use the Model class"
|
||||
def _set_params(self, x):
|
||||
raise NotImplementedError, "this needs to be implemented to use the Model class"
|
||||
def log_likelihood(self):
|
||||
raise NotImplementedError, "this needs to be implemented to use the Model class"
|
||||
def _log_likelihood_gradients(self):
|
||||
raise NotImplementedError, "this needs to be implemented to use the Model class"
|
||||
|
||||
def getstate(self):
|
||||
"""
|
||||
Get the current state of the class.
|
||||
|
||||
Inherited from Parameterized, so add those parameters to the state
|
||||
"""
|
||||
return Parameterized.getstate(self) + \
|
||||
[self.priors, self.optimization_runs,
|
||||
self.sampling_runs, self.preferred_optimizer]
|
||||
|
||||
def setstate(self, state):
|
||||
"""
|
||||
set state from previous call to getstate
|
||||
|
||||
call Parameterized with the rest of the state
|
||||
"""
|
||||
self.preferred_optimizer = state.pop()
|
||||
self.sampling_runs = state.pop()
|
||||
self.optimization_runs = state.pop()
|
||||
self.priors = state.pop()
|
||||
Parameterized.setstate(self, state)
|
||||
|
||||
def set_prior(self, regexp, what):
|
||||
"""
|
||||
Sets priors on the Model parameters.
|
||||
|
|
@ -254,12 +272,13 @@ class Model(Parameterised):
|
|||
"""
|
||||
try:
|
||||
self._set_params_transformed(x)
|
||||
obj_grads = -self._transform_gradients(self._log_likelihood_gradients() + self._log_prior_gradients())
|
||||
self._fail_count = 0
|
||||
except (LinAlgError, ZeroDivisionError, ValueError) as e:
|
||||
if self._fail_count >= self._allowed_failures:
|
||||
raise e
|
||||
self._fail_count += 1
|
||||
obj_grads = -self._transform_gradients(self._log_likelihood_gradients() + self._log_prior_gradients())
|
||||
obj_grads = np.clip(-self._transform_gradients(self._log_likelihood_gradients() + self._log_prior_gradients()), -1e100, 1e100)
|
||||
return obj_grads
|
||||
|
||||
def objective_and_gradients(self, x):
|
||||
|
|
@ -267,12 +286,13 @@ class Model(Parameterised):
|
|||
self._set_params_transformed(x)
|
||||
obj_f = -self.log_likelihood() - self.log_prior()
|
||||
self._fail_count = 0
|
||||
obj_grads = -self._transform_gradients(self._log_likelihood_gradients() + self._log_prior_gradients())
|
||||
except (LinAlgError, ZeroDivisionError, ValueError) as e:
|
||||
if self._fail_count >= self._allowed_failures:
|
||||
raise e
|
||||
self._fail_count += 1
|
||||
obj_f = np.inf
|
||||
obj_grads = -self._transform_gradients(self._log_likelihood_gradients() + self._log_prior_gradients())
|
||||
obj_grads = np.clip(-self._transform_gradients(self._log_likelihood_gradients() + self._log_prior_gradients()), -1e100, 1e100)
|
||||
return obj_f, obj_grads
|
||||
|
||||
def optimize(self, optimizer=None, start=None, **kwargs):
|
||||
|
|
@ -293,7 +313,9 @@ class Model(Parameterised):
|
|||
|
||||
optimizer = optimization.get_optimizer(optimizer)
|
||||
opt = optimizer(start, model=self, **kwargs)
|
||||
|
||||
opt.run(f_fp=self.objective_and_gradients, f=self.objective_function, fp=self.objective_function_gradients)
|
||||
|
||||
self.optimization_runs.append(opt)
|
||||
|
||||
self._set_params_transformed(opt.x_opt)
|
||||
|
|
@ -336,7 +358,7 @@ class Model(Parameterised):
|
|||
return 0.5 * self._get_params().size * np.log(2 * np.pi) + self.log_likelihood() - hld
|
||||
|
||||
def __str__(self):
|
||||
s = Parameterised.__str__(self).split('\n')
|
||||
s = Parameterized.__str__(self).split('\n')
|
||||
# add priors to the string
|
||||
if self.priors is not None:
|
||||
strs = [str(p) if p is not None else '' for p in self.priors]
|
||||
|
|
|
|||
|
|
@ -9,7 +9,7 @@ import cPickle
|
|||
import warnings
|
||||
import transformations
|
||||
|
||||
class Parameterised(object):
|
||||
class Parameterized(object):
|
||||
def __init__(self):
|
||||
"""
|
||||
This is the base class for model and kernel. Mostly just handles tieing and constraining of parameters
|
||||
|
|
@ -20,55 +20,60 @@ class Parameterised(object):
|
|||
self.constrained_indices = []
|
||||
self.constraints = []
|
||||
|
||||
def pickle(self, filename, protocol= -1):
|
||||
f = file(filename, 'w')
|
||||
def _get_params(self):
|
||||
raise NotImplementedError, "this needs to be implemented to use the Model class"
|
||||
def _set_params(self, x):
|
||||
raise NotImplementedError, "this needs to be implemented to use the Model class"
|
||||
|
||||
def pickle(self, filename, protocol=None):
|
||||
if protocol is None:
|
||||
if self._has_get_set_state():
|
||||
protocol = 0
|
||||
else:
|
||||
protocol = -1
|
||||
with open(filename, 'w') as f:
|
||||
cPickle.dump(self, f, protocol)
|
||||
f.close()
|
||||
|
||||
def copy(self):
|
||||
"""Returns a (deep) copy of the current model """
|
||||
return copy.deepcopy(self)
|
||||
|
||||
@property
|
||||
def params(self):
|
||||
def __getstate__(self):
|
||||
if self._has_get_set_state():
|
||||
return self.getstate()
|
||||
return self.__dict__
|
||||
|
||||
def __setstate__(self, state):
|
||||
if self._has_get_set_state():
|
||||
self.setstate(state) # set state
|
||||
self._set_params(self._get_params()) # restore all values
|
||||
return
|
||||
self.__dict__ = state
|
||||
|
||||
def _has_get_set_state(self):
|
||||
return 'getstate' in vars(self.__class__) and 'setstate' in vars(self.__class__)
|
||||
|
||||
def getstate(self):
|
||||
"""
|
||||
Returns a **copy** of parameters in non transformed space
|
||||
Get the current state of the class,
|
||||
here just all the indices, rest can get recomputed
|
||||
|
||||
:see_also: :py:func:`GPy.core.Parameterised.params_transformed`
|
||||
For inheriting from Parameterized:
|
||||
Allways append the state of the inherited object
|
||||
and call down to the inherited object in setstate!!
|
||||
"""
|
||||
return self._get_params()
|
||||
return [self.tied_indices,
|
||||
self.fixed_indices,
|
||||
self.fixed_values,
|
||||
self.constrained_indices,
|
||||
self.constraints]
|
||||
|
||||
@params.setter
|
||||
def params(self, params):
|
||||
self._set_params(params)
|
||||
|
||||
@property
|
||||
def params_transformed(self):
|
||||
"""
|
||||
Returns a **copy** of parameters in transformed space
|
||||
|
||||
:see_also: :py:func:`GPy.core.Parameterised.params`
|
||||
"""
|
||||
return self._get_params_transformed()
|
||||
|
||||
@params_transformed.setter
|
||||
def params_transformed(self, params):
|
||||
self._set_params_transformed(params)
|
||||
|
||||
_get_set_deprecation = """get and set methods wont be available at next minor release
|
||||
in the next releases you will get and set with following syntax:
|
||||
Assume m is a model class:
|
||||
print m['var'] # > prints all parameters matching 'var'
|
||||
m['var'] = 2. # > sets all parameters matching 'var' to 2.
|
||||
m['var'] = <array-like> # > sets parameters matching 'var' to <array-like>
|
||||
"""
|
||||
def get(self, regexp):
|
||||
warnings.warn(self._get_set_deprecation, FutureWarning, stacklevel=2)
|
||||
return self[regexp]
|
||||
|
||||
def set(self, regexp, val):
|
||||
warnings.warn(self._get_set_deprecation, FutureWarning, stacklevel=2)
|
||||
self[regexp] = val
|
||||
def setstate(self, state):
|
||||
self.constraints = state.pop()
|
||||
self.constrained_indices = state.pop()
|
||||
self.fixed_values = state.pop()
|
||||
self.fixed_indices = state.pop()
|
||||
self.tied_indices = state.pop()
|
||||
|
||||
def __getitem__(self, regexp, return_names=False):
|
||||
"""
|
||||
|
|
@ -95,13 +100,16 @@ class Parameterised(object):
|
|||
if len(matches):
|
||||
val = np.array(val)
|
||||
assert (val.size == 1) or val.size == len(matches), "Shape mismatch: {}:({},)".format(val.size, len(matches))
|
||||
x = self.params
|
||||
x = self._get_params()
|
||||
x[matches] = val
|
||||
self.params = x
|
||||
self._set_params(x)
|
||||
else:
|
||||
raise AttributeError, "no parameter matches %s" % name
|
||||
|
||||
def tie_params(self, regexp):
|
||||
"""
|
||||
Tie (all!) parameters matching the regular expression `regexp`.
|
||||
"""
|
||||
matches = self.grep_param_names(regexp)
|
||||
assert matches.size > 0, "need at least something to tie together"
|
||||
if len(self.tied_indices):
|
||||
|
|
@ -181,7 +189,7 @@ class Parameterised(object):
|
|||
|
||||
def constrain_negative(self, regexp):
|
||||
""" Set negative constraints. """
|
||||
self.constrain(regexp, transformations.negative_exponent())
|
||||
self.constrain(regexp, transformations.negative_logexp())
|
||||
|
||||
def constrain_positive(self, regexp):
|
||||
""" Set positive constraints. """
|
||||
|
|
@ -33,10 +33,11 @@ class SparseGP(GPBase):
|
|||
|
||||
self.Z = Z
|
||||
self.num_inducing = Z.shape[0]
|
||||
self.likelihood = likelihood
|
||||
# self.likelihood = likelihood
|
||||
|
||||
if X_variance is None:
|
||||
self.has_uncertain_inputs = False
|
||||
self.X_variance = None
|
||||
else:
|
||||
assert X_variance.shape == X.shape
|
||||
self.has_uncertain_inputs = True
|
||||
|
|
@ -49,6 +50,23 @@ class SparseGP(GPBase):
|
|||
if self.has_uncertain_inputs:
|
||||
self.X_variance /= np.square(self._Xscale)
|
||||
|
||||
def getstate(self):
|
||||
"""
|
||||
Get the current state of the class,
|
||||
here just all the indices, rest can get recomputed
|
||||
"""
|
||||
return GPBase.getstate(self) + [self.Z,
|
||||
self.num_inducing,
|
||||
self.has_uncertain_inputs,
|
||||
self.X_variance]
|
||||
|
||||
def setstate(self, state):
|
||||
self.X_variance = state.pop()
|
||||
self.has_uncertain_inputs = state.pop()
|
||||
self.num_inducing = state.pop()
|
||||
self.Z = state.pop()
|
||||
GPBase.setstate(self, state)
|
||||
|
||||
def _compute_kernel_matrices(self):
|
||||
# kernel computations, using BGPLVM notation
|
||||
self.Kmm = self.kern.K(self.Z)
|
||||
|
|
|
|||
|
|
@ -91,6 +91,14 @@ class SVIGP(GPBase):
|
|||
self._param_steplength_trace = []
|
||||
self._vb_steplength_trace = []
|
||||
|
||||
def getstate(self):
|
||||
return GPBase.getstate(self)
|
||||
|
||||
|
||||
def setstate(self, state):
|
||||
return GPBase.setstate(self, state)
|
||||
|
||||
|
||||
def _compute_kernel_matrices(self):
|
||||
# kernel computations, using BGPLVM notation
|
||||
self.Kmm = self.kern.K(self.Z)
|
||||
|
|
|
|||
|
|
@ -36,6 +36,20 @@ class logexp(transformation):
|
|||
def __str__(self):
|
||||
return '(+ve)'
|
||||
|
||||
class negative_logexp(transformation):
|
||||
domain = NEGATIVE
|
||||
def f(self, x):
|
||||
return -np.log(1. + np.exp(x))
|
||||
def finv(self, f):
|
||||
return np.log(np.exp(-f) - 1.)
|
||||
def gradfactor(self, f):
|
||||
ef = np.exp(-f)
|
||||
return -(ef - 1.) / ef
|
||||
def initialize(self, f):
|
||||
return -np.abs(f)
|
||||
def __str__(self):
|
||||
return '(-ve)'
|
||||
|
||||
class logexp_clipped(transformation):
|
||||
max_bound = 1e100
|
||||
min_bound = 1e-10
|
||||
|
|
|
|||
|
|
@ -254,7 +254,7 @@ def bgplvm_simulation(optimize='scg',
|
|||
Y = Ylist[0]
|
||||
|
||||
k = kern.linear(Q, ARD=True) + kern.bias(Q, np.exp(-2)) + kern.white(Q, np.exp(-2)) # + kern.bias(Q)
|
||||
m = BayesianGPLVM(Y, Q, init="PCA", num_inducing=num_inducing, kernel=k, _debug=True)
|
||||
m = BayesianGPLVM(Y, Q, init="PCA", num_inducing=num_inducing, kernel=k)
|
||||
|
||||
# m.constrain('variance|noise', logexp_clipped())
|
||||
m['noise'] = Y.var() / 100.
|
||||
|
|
@ -279,11 +279,12 @@ def mrd_simulation(optimize=True, plot=True, plot_sim=True, **kw):
|
|||
|
||||
reload(mrd); reload(kern)
|
||||
|
||||
k = kern.linear(Q, [.05] * Q, ARD=True) + kern.bias(Q, np.exp(-2)) + kern.white(Q, np.exp(-2))
|
||||
k = kern.linear(Q, ARD=True) + kern.bias(Q, np.exp(-2)) + kern.white(Q, np.exp(-2))
|
||||
m = mrd.MRD(Ylist, input_dim=Q, num_inducing=num_inducing, kernels=k, initx="", initz='permute', **kw)
|
||||
m.ensure_default_constraints()
|
||||
|
||||
for i, Y in enumerate(Ylist):
|
||||
m['{}_noise'.format(i + 1)] = Y.var() / 100.
|
||||
m['{}_noise'.format(i)] = Y.var() / 100.
|
||||
|
||||
|
||||
# DEBUG
|
||||
|
|
|
|||
|
|
@ -26,12 +26,15 @@ import numpy as np
|
|||
import sys
|
||||
|
||||
|
||||
def print_out(len_maxiters, display, fnow, current_grad, beta, iteration):
|
||||
if display:
|
||||
def print_out(len_maxiters, fnow, current_grad, beta, iteration):
|
||||
print '\r',
|
||||
print '{0:>0{mi}g} {1:> 12e} {2:> 12e} {3:> 12e}'.format(iteration, float(fnow), float(beta), float(current_grad), mi=len_maxiters), # print 'Iteration:', iteration, ' Objective:', fnow, ' Scale:', beta, '\r',
|
||||
sys.stdout.flush()
|
||||
|
||||
def exponents(fnow, current_grad):
|
||||
exps = [np.abs(fnow), current_grad]
|
||||
return np.sign(exps) * np.log10(exps).astype(int)
|
||||
|
||||
def SCG(f, gradf, x, optargs=(), maxiters=500, max_f_eval=500, display=True, xtol=None, ftol=None, gtol=None):
|
||||
"""
|
||||
Optimisation through Scaled Conjugate Gradients (SCG)
|
||||
|
|
@ -52,6 +55,7 @@ def SCG(f, gradf, x, optargs=(), maxiters=500, max_f_eval=500, display=True, xto
|
|||
ftol = 1e-6
|
||||
if gtol is None:
|
||||
gtol = 1e-5
|
||||
|
||||
sigma0 = 1.0e-8
|
||||
fold = f(x, *optargs) # Initial function value.
|
||||
function_eval = 1
|
||||
|
|
@ -74,6 +78,8 @@ def SCG(f, gradf, x, optargs=(), maxiters=500, max_f_eval=500, display=True, xto
|
|||
len_maxiters = len(str(maxiters))
|
||||
if display:
|
||||
print ' {0:{mi}s} {1:11s} {2:11s} {3:11s}'.format("I", "F", "Scale", "|g|", mi=len_maxiters)
|
||||
exps = exponents(fnow, current_grad)
|
||||
p_iter = iteration
|
||||
|
||||
# Main optimization loop.
|
||||
while iteration < maxiters:
|
||||
|
|
@ -104,7 +110,7 @@ def SCG(f, gradf, x, optargs=(), maxiters=500, max_f_eval=500, display=True, xto
|
|||
function_eval += 1
|
||||
|
||||
if function_eval >= max_f_eval:
|
||||
status = "Maximum number of function evaluations exceeded"
|
||||
status = "maximum number of function evaluations exceeded"
|
||||
break
|
||||
# return x, flog, function_eval, status
|
||||
|
||||
|
|
@ -122,15 +128,29 @@ def SCG(f, gradf, x, optargs=(), maxiters=500, max_f_eval=500, display=True, xto
|
|||
flog.append(fnow) # Current function value
|
||||
|
||||
iteration += 1
|
||||
print_out(len_maxiters, display, fnow, current_grad, beta, iteration)
|
||||
if display:
|
||||
print_out(len_maxiters, fnow, current_grad, beta, iteration)
|
||||
n_exps = exponents(fnow, current_grad)
|
||||
if iteration - p_iter >= 6:
|
||||
a = iteration >= p_iter * 2.78
|
||||
b = np.any(n_exps < exps)
|
||||
if a or b:
|
||||
print ''
|
||||
if a:
|
||||
p_iter = iteration
|
||||
if b:
|
||||
exps = n_exps
|
||||
|
||||
if success:
|
||||
# Test for termination
|
||||
if (np.max(np.abs(alpha * d)) < xtol) or (np.abs(fnew - fold) < ftol):
|
||||
status = 'converged'
|
||||
|
||||
if (np.abs(fnew - fold) < ftol):
|
||||
status = 'converged - relative reduction in objective'
|
||||
break
|
||||
# return x, flog, function_eval, status
|
||||
|
||||
elif (np.max(np.abs(alpha * d)) < xtol):
|
||||
status = 'converged - relative stepsize'
|
||||
break
|
||||
else:
|
||||
# Update variables for new position
|
||||
gradnew = gradf(x, *optargs)
|
||||
|
|
@ -139,7 +159,7 @@ def SCG(f, gradf, x, optargs=(), maxiters=500, max_f_eval=500, display=True, xto
|
|||
fold = fnew
|
||||
# If the gradient is zero then we are done.
|
||||
if current_grad <= gtol:
|
||||
status = 'converged'
|
||||
status = 'converged - relative reduction in gradient'
|
||||
break
|
||||
# return x, flog, function_eval, status
|
||||
|
||||
|
|
@ -164,6 +184,8 @@ def SCG(f, gradf, x, optargs=(), maxiters=500, max_f_eval=500, display=True, xto
|
|||
status = "maxiter exceeded"
|
||||
|
||||
if display:
|
||||
print_out(len_maxiters, display, fnow, current_grad, beta, iteration)
|
||||
print ""
|
||||
print_out(len_maxiters, fnow, current_grad, beta, iteration)
|
||||
print ""
|
||||
print status
|
||||
return x, flog, function_eval, status
|
||||
|
|
|
|||
|
|
@ -3,12 +3,12 @@
|
|||
|
||||
import numpy as np
|
||||
import pylab as pb
|
||||
from ..core.parameterised import Parameterised
|
||||
from ..core.parameterized import Parameterized
|
||||
from parts.kernpart import Kernpart
|
||||
import itertools
|
||||
from parts.prod import Prod as prod
|
||||
|
||||
class kern(Parameterised):
|
||||
class kern(Parameterized):
|
||||
def __init__(self, input_dim, parts=[], input_slices=None):
|
||||
"""
|
||||
This is the main kernel class for GPy. It handles multiple (additive) kernel functions, and keeps track of variaous things like which parameters live where.
|
||||
|
|
@ -41,26 +41,51 @@ class kern(Parameterised):
|
|||
|
||||
self.compute_param_slices()
|
||||
|
||||
Parameterised.__init__(self)
|
||||
Parameterized.__init__(self)
|
||||
|
||||
def getstate(self):
|
||||
"""
|
||||
Get the current state of the class,
|
||||
here just all the indices, rest can get recomputed
|
||||
"""
|
||||
return Parameterized.getstate(self) + [self.parts,
|
||||
self.Nparts,
|
||||
self.num_params,
|
||||
self.input_dim,
|
||||
self.input_slices,
|
||||
self.param_slices
|
||||
]
|
||||
|
||||
def setstate(self, state):
|
||||
self.param_slices = state.pop()
|
||||
self.input_slices = state.pop()
|
||||
self.input_dim = state.pop()
|
||||
self.num_params = state.pop()
|
||||
self.Nparts = state.pop()
|
||||
self.parts = state.pop()
|
||||
Parameterized.setstate(self, state)
|
||||
|
||||
|
||||
def plot_ARD(self, fignum=None, ax=None):
|
||||
def plot_ARD(self, fignum=None, ax=None, title=None):
|
||||
"""If an ARD kernel is present, it bar-plots the ARD parameters"""
|
||||
if ax is None:
|
||||
fig = pb.figure(fignum)
|
||||
ax = fig.add_subplot(111)
|
||||
for p in self.parts:
|
||||
if hasattr(p, 'ARD') and p.ARD:
|
||||
if title is None:
|
||||
ax.set_title('ARD parameters, %s kernel' % p.name)
|
||||
|
||||
else:
|
||||
ax.set_title(title)
|
||||
if p.name == 'linear':
|
||||
ard_params = p.variances
|
||||
else:
|
||||
ard_params = 1. / p.lengthscale
|
||||
|
||||
ax.bar(np.arange(len(ard_params)) - 0.4, ard_params)
|
||||
ax.set_xticks(np.arange(len(ard_params)))
|
||||
ax.set_xticklabels([r"${}$".format(i) for i in range(len(ard_params))])
|
||||
x = np.arange(len(ard_params))
|
||||
ax.bar(x - 0.4, ard_params)
|
||||
ax.set_xticks(x)
|
||||
ax.set_xticklabels([r"${}$".format(i) for i in x])
|
||||
return ax
|
||||
|
||||
def _transform_gradients(self, g):
|
||||
|
|
|
|||
|
|
@ -24,8 +24,7 @@ class BayesianGPLVM(SparseGP, GPLVM):
|
|||
|
||||
"""
|
||||
def __init__(self, likelihood_or_Y, input_dim, X=None, X_variance=None, init='PCA', num_inducing=10,
|
||||
Z=None, kernel=None, oldpsave=10, _debug=False,
|
||||
**kwargs):
|
||||
Z=None, kernel=None, **kwargs):
|
||||
if type(likelihood_or_Y) is np.ndarray:
|
||||
likelihood = Gaussian(likelihood_or_Y)
|
||||
else:
|
||||
|
|
@ -45,32 +44,19 @@ class BayesianGPLVM(SparseGP, GPLVM):
|
|||
if kernel is None:
|
||||
kernel = kern.rbf(input_dim) + kern.white(input_dim)
|
||||
|
||||
self.oldpsave = oldpsave
|
||||
self._oldps = []
|
||||
self._debug = _debug
|
||||
|
||||
if self._debug:
|
||||
self.f_call = 0
|
||||
self._count = itertools.count()
|
||||
self._savedklll = []
|
||||
self._savedparams = []
|
||||
self._savedgradients = []
|
||||
self._savederrors = []
|
||||
self._savedpsiKmm = []
|
||||
self._savedABCD = []
|
||||
|
||||
SparseGP.__init__(self, X, likelihood, kernel, Z=Z, X_variance=X_variance, **kwargs)
|
||||
self.ensure_default_constraints()
|
||||
|
||||
@property
|
||||
def oldps(self):
|
||||
return self._oldps
|
||||
@oldps.setter
|
||||
def oldps(self, p):
|
||||
if len(self._oldps) == (self.oldpsave + 1):
|
||||
self._oldps.pop()
|
||||
# if len(self._oldps) == 0 or not np.any([np.any(np.abs(p - op) > 1e-5) for op in self._oldps]):
|
||||
self._oldps.insert(0, p.copy())
|
||||
def getstate(self):
|
||||
"""
|
||||
Get the current state of the class,
|
||||
here just all the indices, rest can get recomputed
|
||||
"""
|
||||
return SparseGP.getstate(self) + [self.init]
|
||||
|
||||
def setstate(self, state):
|
||||
self.init = state.pop()
|
||||
SparseGP.setstate(self, state)
|
||||
|
||||
def _get_param_names(self):
|
||||
X_names = sum([['X_%i_%i' % (n, q) for q in range(self.input_dim)] for n in range(self.num_data)], [])
|
||||
|
|
@ -90,24 +76,11 @@ class BayesianGPLVM(SparseGP, GPLVM):
|
|||
x = np.hstack((self.X.flatten(), self.X_variance.flatten(), SparseGP._get_params(self)))
|
||||
return x
|
||||
|
||||
def _clipped(self, x):
|
||||
return x # np.clip(x, -1e300, 1e300)
|
||||
|
||||
def _set_params(self, x, save_old=True, save_count=0):
|
||||
# try:
|
||||
x = self._clipped(x)
|
||||
N, input_dim = self.num_data, self.input_dim
|
||||
self.X = x[:self.X.size].reshape(N, input_dim).copy()
|
||||
self.X_variance = x[(N * input_dim):(2 * N * input_dim)].reshape(N, input_dim).copy()
|
||||
SparseGP._set_params(self, x[(2 * N * input_dim):])
|
||||
# self.oldps = x
|
||||
# except (LinAlgError, FloatingPointError, ZeroDivisionError):
|
||||
# print "\rWARNING: Caught LinAlgError, continueing without setting "
|
||||
# if self._debug:
|
||||
# self._savederrors.append(self.f_call)
|
||||
# if save_count > 10:
|
||||
# raise
|
||||
# self._set_params(self.oldps[-1], save_old=False, save_count=save_count + 1)
|
||||
|
||||
def dKL_dmuS(self):
|
||||
dKL_dS = (1. - (1. / (self.X_variance))) * 0.5
|
||||
|
|
@ -131,56 +104,19 @@ class BayesianGPLVM(SparseGP, GPLVM):
|
|||
def log_likelihood(self):
|
||||
ll = SparseGP.log_likelihood(self)
|
||||
kl = self.KL_divergence()
|
||||
|
||||
# if ll < -2E4:
|
||||
# ll = -2E4 + np.random.randn()
|
||||
# if kl > 5E4:
|
||||
# kl = 5E4 + np.random.randn()
|
||||
|
||||
if self._debug:
|
||||
self.f_call = self._count.next()
|
||||
if self.f_call % 1 == 0:
|
||||
self._savedklll.append([self.f_call, ll, kl])
|
||||
self._savedparams.append([self.f_call, self._get_params()])
|
||||
self._savedgradients.append([self.f_call, self._log_likelihood_gradients()])
|
||||
self._savedpsiKmm.append([self.f_call, [self.Kmm, self.dL_dKmm]])
|
||||
# sf2 = self.scale_factor ** 2
|
||||
if self.likelihood.is_heteroscedastic:
|
||||
A = -0.5 * self.num_data * self.input_dim * np.log(2.*np.pi) + 0.5 * np.sum(np.log(self.likelihood.precision)) - 0.5 * np.sum(self.V * self.likelihood.Y)
|
||||
# B = -0.5 * self.input_dim * (np.sum(self.likelihood.precision.flatten() * self.psi0) - np.trace(self.A) * sf2)
|
||||
B = -0.5 * self.input_dim * (np.sum(self.likelihood.precision.flatten() * self.psi0) - np.trace(self.A))
|
||||
else:
|
||||
A = -0.5 * self.num_data * self.input_dim * (np.log(2.*np.pi) + np.log(self.likelihood._variance)) - 0.5 * self.likelihood.precision * self.likelihood.trYYT
|
||||
# B = -0.5 * self.input_dim * (np.sum(self.likelihood.precision * self.psi0) - np.trace(self.A) * sf2)
|
||||
B = -0.5 * self.input_dim * (np.sum(self.likelihood.precision * self.psi0) - np.trace(self.A))
|
||||
C = -self.input_dim * (np.sum(np.log(np.diag(self.LB)))) # + 0.5 * self.num_inducing * np.log(sf2))
|
||||
D = 0.5 * np.sum(np.square(self._LBi_Lmi_psi1V))
|
||||
self._savedABCD.append([self.f_call, A, B, C, D])
|
||||
|
||||
# print "\nkl:", kl, "ll:", ll
|
||||
return ll - kl
|
||||
|
||||
def _log_likelihood_gradients(self):
|
||||
dKL_dmu, dKL_dS = self.dKL_dmuS()
|
||||
dL_dmu, dL_dS = self.dL_dmuS()
|
||||
# TODO: find way to make faster
|
||||
|
||||
d_dmu = (dL_dmu - dKL_dmu).flatten()
|
||||
d_dS = (dL_dS - dKL_dS).flatten()
|
||||
# TEST KL: ====================
|
||||
# d_dmu = (dKL_dmu).flatten()
|
||||
# d_dS = (dKL_dS).flatten()
|
||||
# ========================
|
||||
# TEST L: ====================
|
||||
# d_dmu = (dL_dmu).flatten()
|
||||
# d_dS = (dL_dS).flatten()
|
||||
# ========================
|
||||
self.dbound_dmuS = np.hstack((d_dmu, d_dS))
|
||||
self.dbound_dZtheta = SparseGP._log_likelihood_gradients(self)
|
||||
return self._clipped(np.hstack((self.dbound_dmuS.flatten(), self.dbound_dZtheta)))
|
||||
return np.hstack((self.dbound_dmuS.flatten(), self.dbound_dZtheta))
|
||||
|
||||
def plot_latent(self, *args, **kwargs):
|
||||
return plot_latent.plot_latent_indices(self, *args, **kwargs)
|
||||
return plot_latent.plot_latent(self, *args, **kwargs)
|
||||
|
||||
def do_test_latents(self, Y):
|
||||
"""
|
||||
|
|
@ -256,275 +192,6 @@ class BayesianGPLVM(SparseGP, GPLVM):
|
|||
fig.tight_layout(h_pad=.01) # , rect=(0, 0, 1, .95))
|
||||
return fig
|
||||
|
||||
def __getstate__(self):
|
||||
return (self.likelihood, self.input_dim, self.X, self.X_variance,
|
||||
self.init, self.num_inducing, self.Z, self.kern,
|
||||
self.oldpsave, self._debug)
|
||||
|
||||
def __setstate__(self, state):
|
||||
self.__init__(*state)
|
||||
|
||||
def _debug_filter_params(self, x):
|
||||
start, end = 0, self.X.size,
|
||||
X = x[start:end].reshape(self.num_data, self.input_dim)
|
||||
start, end = end, end + self.X_variance.size
|
||||
X_v = x[start:end].reshape(self.num_data, self.input_dim)
|
||||
start, end = end, end + (self.num_inducing * self.input_dim)
|
||||
Z = x[start:end].reshape(self.num_inducing, self.input_dim)
|
||||
start, end = end, end + self.input_dim
|
||||
theta = x[start:]
|
||||
return X, X_v, Z, theta
|
||||
|
||||
|
||||
def _debug_get_axis(self, figs):
|
||||
if figs[-1].axes:
|
||||
ax1 = figs[-1].axes[0]
|
||||
ax1.cla()
|
||||
else:
|
||||
ax1 = figs[-1].add_subplot(111)
|
||||
return ax1
|
||||
|
||||
def _debug_plot(self):
|
||||
assert self._debug, "must enable _debug, to debug-plot"
|
||||
import pylab
|
||||
# from mpl_toolkits.mplot3d import Axes3D
|
||||
figs = [pylab.figure('BGPLVM DEBUG', figsize=(12, 4))]
|
||||
# fig.clf()
|
||||
|
||||
# log like
|
||||
# splotshape = (6, 4)
|
||||
# ax1 = pylab.subplot2grid(splotshape, (0, 0), 1, 4)
|
||||
ax1 = self._debug_get_axis(figs)
|
||||
ax1.text(.5, .5, "Optimization", alpha=.3, transform=ax1.transAxes,
|
||||
ha='center', va='center')
|
||||
kllls = np.array(self._savedklll)
|
||||
LL, = ax1.plot(kllls[:, 0], kllls[:, 1] - kllls[:, 2], '-', label=r'$\log p(\mathbf{Y})$', mew=1.5)
|
||||
KL, = ax1.plot(kllls[:, 0], kllls[:, 2], '-', label=r'$\mathcal{KL}(p||q)$', mew=1.5)
|
||||
L, = ax1.plot(kllls[:, 0], kllls[:, 1], '-', label=r'$L$', mew=1.5) # \mathds{E}_{q(\mathbf{X})}[p(\mathbf{Y|X})\frac{p(\mathbf{X})}{q(\mathbf{X})}]
|
||||
|
||||
param_dict = dict(self._savedparams)
|
||||
gradient_dict = dict(self._savedgradients)
|
||||
# kmm_dict = dict(self._savedpsiKmm)
|
||||
iters = np.array(param_dict.keys())
|
||||
ABCD_dict = np.array(self._savedABCD)
|
||||
self.showing = 0
|
||||
|
||||
# ax2 = pylab.subplot2grid(splotshape, (1, 0), 2, 4)
|
||||
figs.append(pylab.figure("BGPLVM DEBUG X", figsize=(12, 4)))
|
||||
ax2 = self._debug_get_axis(figs)
|
||||
ax2.text(.5, .5, r"$\mathbf{X}$", alpha=.5, transform=ax2.transAxes,
|
||||
ha='center', va='center')
|
||||
figs[-1].canvas.draw()
|
||||
figs[-1].tight_layout(rect=(0, 0, 1, .86))
|
||||
# ax3 = pylab.subplot2grid(splotshape, (3, 0), 2, 4, sharex=ax2)
|
||||
figs.append(pylab.figure("BGPLVM DEBUG S", figsize=(12, 4)))
|
||||
ax3 = self._debug_get_axis(figs)
|
||||
ax3.text(.5, .5, r"$\mathbf{S}$", alpha=.5, transform=ax3.transAxes,
|
||||
ha='center', va='center')
|
||||
figs[-1].canvas.draw()
|
||||
figs[-1].tight_layout(rect=(0, 0, 1, .86))
|
||||
# ax4 = pylab.subplot2grid(splotshape, (5, 0), 2, 2)
|
||||
figs.append(pylab.figure("BGPLVM DEBUG Z", figsize=(6, 4)))
|
||||
ax4 = self._debug_get_axis(figs)
|
||||
ax4.text(.5, .5, r"$\mathbf{Z}$", alpha=.5, transform=ax4.transAxes,
|
||||
ha='center', va='center')
|
||||
figs[-1].canvas.draw()
|
||||
figs[-1].tight_layout(rect=(0, 0, 1, .86))
|
||||
# ax5 = pylab.subplot2grid(splotshape, (5, 2), 2, 2)
|
||||
figs.append(pylab.figure("BGPLVM DEBUG theta", figsize=(6, 4)))
|
||||
ax5 = self._debug_get_axis(figs)
|
||||
ax5.text(.5, .5, r"${\theta}$", alpha=.5, transform=ax5.transAxes,
|
||||
ha='center', va='center')
|
||||
figs[-1].canvas.draw()
|
||||
figs[-1].tight_layout(rect=(.15, 0, 1, .86))
|
||||
# figs.append(pylab.figure("BGPLVM DEBUG Kmm", figsize=(12, 6)))
|
||||
# fig = figs[-1]
|
||||
# ax6 = fig.add_subplot(121)
|
||||
# ax6.text(.5, .5, r"${\mathbf{K}_{mm}}$", color='magenta', alpha=.5, transform=ax6.transAxes,
|
||||
# ha='center', va='center')
|
||||
# ax7 = fig.add_subplot(122)
|
||||
# ax7.text(.5, .5, r"${\frac{dL}{dK_{mm}}}$", color='magenta', alpha=.5, transform=ax7.transAxes,
|
||||
# ha='center', va='center')
|
||||
figs.append(pylab.figure("BGPLVM DEBUG Kmm", figsize=(12, 6)))
|
||||
fig = figs[-1]
|
||||
ax8 = fig.add_subplot(121)
|
||||
ax8.text(.5, .5, r"${\mathbf{A,B,C,input_dim}}$", color='k', alpha=.5, transform=ax8.transAxes,
|
||||
ha='center', va='center')
|
||||
ax8.plot(ABCD_dict[:, 0], ABCD_dict[:, 1], label='A')
|
||||
ax8.plot(ABCD_dict[:, 0], ABCD_dict[:, 2], label='B')
|
||||
ax8.plot(ABCD_dict[:, 0], ABCD_dict[:, 3], label='C')
|
||||
ax8.plot(ABCD_dict[:, 0], ABCD_dict[:, 4], label='input_dim')
|
||||
ax8.legend()
|
||||
figs[-1].canvas.draw()
|
||||
figs[-1].tight_layout(rect=(.15, 0, 1, .86))
|
||||
|
||||
X, S, Z, theta = self._debug_filter_params(param_dict[self.showing])
|
||||
Xg, Sg, Zg, thetag = self._debug_filter_params(gradient_dict[self.showing])
|
||||
# Xg, Sg, Zg, thetag = -Xg, -Sg, -Zg, -thetag
|
||||
|
||||
quiver_units = 'xy'
|
||||
quiver_scale = 1
|
||||
quiver_scale_units = 'xy'
|
||||
Xlatentplts = ax2.plot(X, ls="-", marker="x")
|
||||
colors = colorConverter.to_rgba_array([p.get_color() for p in Xlatentplts], .4)
|
||||
Ulatent = np.zeros_like(X)
|
||||
xlatent = np.tile(np.arange(0, X.shape[0])[:, None], X.shape[1])
|
||||
Xlatentgrads = ax2.quiver(xlatent, X, Ulatent, Xg, color=colors,
|
||||
units=quiver_units, scale_units=quiver_scale_units,
|
||||
scale=quiver_scale)
|
||||
|
||||
Slatentplts = ax3.plot(S, ls="-", marker="x")
|
||||
Slatentgrads = ax3.quiver(xlatent, S, Ulatent, Sg, color=colors,
|
||||
units=quiver_units, scale_units=quiver_scale_units,
|
||||
scale=quiver_scale)
|
||||
ax3.set_ylim(0, 1.)
|
||||
|
||||
xZ = np.tile(np.arange(0, Z.shape[0])[:, None], Z.shape[1])
|
||||
UZ = np.zeros_like(Z)
|
||||
Zplts = ax4.plot(Z, ls="-", marker="x")
|
||||
Zgrads = ax4.quiver(xZ, Z, UZ, Zg, color=colors,
|
||||
units=quiver_units, scale_units=quiver_scale_units,
|
||||
scale=quiver_scale)
|
||||
|
||||
xtheta = np.arange(len(theta))
|
||||
Utheta = np.zeros_like(theta)
|
||||
thetaplts = ax5.bar(xtheta - .4, theta, color=colors)
|
||||
thetagrads = ax5.quiver(xtheta, theta, Utheta, thetag, color=colors,
|
||||
units=quiver_units, scale_units=quiver_scale_units,
|
||||
scale=quiver_scale,
|
||||
edgecolors=('k',), linewidths=[1])
|
||||
pylab.setp(thetaplts, zorder=0)
|
||||
pylab.setp(thetagrads, zorder=10)
|
||||
ax5.set_xticks(np.arange(len(theta)))
|
||||
ax5.set_xticklabels(self._get_param_names()[-len(theta):], rotation=17)
|
||||
|
||||
# imkmm = ax6.imshow(kmm_dict[self.showing][0])
|
||||
# from mpl_toolkits.axes_grid1 import make_axes_locatable
|
||||
# divider = make_axes_locatable(ax6)
|
||||
# caxkmm = divider.append_axes("right", "5%", pad="1%")
|
||||
# cbarkmm = pylab.colorbar(imkmm, cax=caxkmm)
|
||||
#
|
||||
# imkmmdl = ax7.imshow(kmm_dict[self.showing][1])
|
||||
# divider = make_axes_locatable(ax7)
|
||||
# caxkmmdl = divider.append_axes("right", "5%", pad="1%")
|
||||
# cbarkmmdl = pylab.colorbar(imkmmdl, cax=caxkmmdl)
|
||||
|
||||
# input_dimleg = ax1.legend(Xlatentplts, [r"$input_dim_{}$".format(i + 1) for i in range(self.input_dim)],
|
||||
# loc=3, ncol=self.input_dim, bbox_to_anchor=(0, 1.15, 1, 1.15),
|
||||
# borderaxespad=0, mode="expand")
|
||||
ax2.legend(Xlatentplts, [r"$input_dim_{}$".format(i + 1) for i in range(self.input_dim)],
|
||||
loc=3, ncol=self.input_dim, bbox_to_anchor=(0, 1.1, 1, 1.1),
|
||||
borderaxespad=0, mode="expand")
|
||||
ax3.legend(Xlatentplts, [r"$input_dim_{}$".format(i + 1) for i in range(self.input_dim)],
|
||||
loc=3, ncol=self.input_dim, bbox_to_anchor=(0, 1.1, 1, 1.1),
|
||||
borderaxespad=0, mode="expand")
|
||||
ax4.legend(Xlatentplts, [r"$input_dim_{}$".format(i + 1) for i in range(self.input_dim)],
|
||||
loc=3, ncol=self.input_dim, bbox_to_anchor=(0, 1.1, 1, 1.1),
|
||||
borderaxespad=0, mode="expand")
|
||||
ax5.legend(Xlatentplts, [r"$input_dim_{}$".format(i + 1) for i in range(self.input_dim)],
|
||||
loc=3, ncol=self.input_dim, bbox_to_anchor=(0, 1.1, 1, 1.1),
|
||||
borderaxespad=0, mode="expand")
|
||||
Lleg = ax1.legend()
|
||||
Lleg.draggable()
|
||||
# ax1.add_artist(input_dimleg)
|
||||
|
||||
indicatorKL, = ax1.plot(kllls[self.showing, 0], kllls[self.showing, 2], 'o', c=KL.get_color())
|
||||
indicatorLL, = ax1.plot(kllls[self.showing, 0], kllls[self.showing, 1] - kllls[self.showing, 2], 'o', c=LL.get_color())
|
||||
indicatorL, = ax1.plot(kllls[self.showing, 0], kllls[self.showing, 1], 'o', c=L.get_color())
|
||||
# for err in self._savederrors:
|
||||
# if err < kllls.shape[0]:
|
||||
# ax1.scatter(kllls[err, 0], kllls[err, 2], s=50, marker=(5, 2), c=KL.get_color())
|
||||
# ax1.scatter(kllls[err, 0], kllls[err, 1] - kllls[err, 2], s=50, marker=(5, 2), c=LL.get_color())
|
||||
# ax1.scatter(kllls[err, 0], kllls[err, 1], s=50, marker=(5, 2), c=L.get_color())
|
||||
|
||||
# try:
|
||||
# for f in figs:
|
||||
# f.canvas.draw()
|
||||
# f.tight_layout(box=(0, .15, 1, .9))
|
||||
# # pylab.draw()
|
||||
# # pylab.tight_layout(box=(0, .1, 1, .9))
|
||||
# except:
|
||||
# pass
|
||||
|
||||
# parameter changes
|
||||
# ax2 = pylab.subplot2grid((4, 1), (1, 0), 3, 1, projection='3d')
|
||||
button_options = [0, 0] # [0]: clicked -- [1]: dragged
|
||||
|
||||
def update_plots(event):
|
||||
if button_options[0] and not button_options[1]:
|
||||
# event.button, event.x, event.y, event.xdata, event.ydata)
|
||||
tmp = np.abs(iters - event.xdata)
|
||||
closest_hit = iters[tmp == tmp.min()][0]
|
||||
|
||||
if closest_hit != self.showing:
|
||||
self.showing = closest_hit
|
||||
# print closest_hit, iters, event.xdata
|
||||
|
||||
indicatorLL.set_data(self.showing, kllls[self.showing, 1] - kllls[self.showing, 2])
|
||||
indicatorKL.set_data(self.showing, kllls[self.showing, 2])
|
||||
indicatorL.set_data(self.showing, kllls[self.showing, 1])
|
||||
|
||||
X, S, Z, theta = self._debug_filter_params(param_dict[self.showing])
|
||||
Xg, Sg, Zg, thetag = self._debug_filter_params(gradient_dict[self.showing])
|
||||
# Xg, Sg, Zg, thetag = -Xg, -Sg, -Zg, -thetag
|
||||
|
||||
for i, Xlatent in enumerate(Xlatentplts):
|
||||
Xlatent.set_ydata(X[:, i])
|
||||
Xlatentgrads.set_offsets(np.array([xlatent.ravel(), X.ravel()]).T)
|
||||
Xlatentgrads.set_UVC(Ulatent, Xg)
|
||||
|
||||
for i, Slatent in enumerate(Slatentplts):
|
||||
Slatent.set_ydata(S[:, i])
|
||||
Slatentgrads.set_offsets(np.array([xlatent.ravel(), S.ravel()]).T)
|
||||
Slatentgrads.set_UVC(Ulatent, Sg)
|
||||
|
||||
for i, Zlatent in enumerate(Zplts):
|
||||
Zlatent.set_ydata(Z[:, i])
|
||||
Zgrads.set_offsets(np.array([xZ.ravel(), Z.ravel()]).T)
|
||||
Zgrads.set_UVC(UZ, Zg)
|
||||
|
||||
for p, t in zip(thetaplts, theta):
|
||||
p.set_height(t)
|
||||
thetagrads.set_offsets(np.array([xtheta.ravel(), theta.ravel()]).T)
|
||||
thetagrads.set_UVC(Utheta, thetag)
|
||||
|
||||
# imkmm.set_data(kmm_dict[self.showing][0])
|
||||
# imkmm.autoscale()
|
||||
# cbarkmm.update_normal(imkmm)
|
||||
#
|
||||
# imkmmdl.set_data(kmm_dict[self.showing][1])
|
||||
# imkmmdl.autoscale()
|
||||
# cbarkmmdl.update_normal(imkmmdl)
|
||||
|
||||
ax2.relim()
|
||||
# ax3.relim()
|
||||
ax4.relim()
|
||||
ax5.relim()
|
||||
ax2.autoscale()
|
||||
# ax3.autoscale()
|
||||
ax4.autoscale()
|
||||
ax5.autoscale()
|
||||
|
||||
[fig.canvas.draw() for fig in figs]
|
||||
button_options[0] = 0
|
||||
button_options[1] = 0
|
||||
|
||||
def onclick(event):
|
||||
if event.inaxes is ax1 and event.button == 1:
|
||||
button_options[0] = 1
|
||||
def motion(event):
|
||||
if button_options[0]:
|
||||
button_options[1] = 1
|
||||
|
||||
cidr = figs[0].canvas.mpl_connect('button_release_event', update_plots)
|
||||
cidp = figs[0].canvas.mpl_connect('button_press_event', onclick)
|
||||
cidd = figs[0].canvas.mpl_connect('motion_notify_event', motion)
|
||||
|
||||
return ax1, ax2, ax3, ax4, ax5 # , ax6, ax7
|
||||
|
||||
|
||||
|
||||
|
||||
def latent_cost_and_grad(mu_S, kern, Z, dL_dpsi0, dL_dpsi1, dL_dpsi2):
|
||||
"""
|
||||
objective function for fitting the latent variables for test points
|
||||
|
|
|
|||
|
|
@ -33,3 +33,12 @@ class GPRegression(GP):
|
|||
|
||||
GP.__init__(self, X, likelihood, kernel, normalize_X=normalize_X)
|
||||
self.ensure_default_constraints()
|
||||
|
||||
def getstate(self):
|
||||
return GP.getstate(self)
|
||||
|
||||
|
||||
def setstate(self, state):
|
||||
return GP.setstate(self, state)
|
||||
|
||||
pass
|
||||
|
|
|
|||
|
|
@ -48,7 +48,7 @@ class MRD(Model):
|
|||
kernels=None, initx='PCA',
|
||||
initz='permute', _debug=False, **kw):
|
||||
if names is None:
|
||||
self.names = ["{}".format(i + 1) for i in range(len(likelihood_or_Y_list))]
|
||||
self.names = ["{}".format(i) for i in range(len(likelihood_or_Y_list))]
|
||||
|
||||
# sort out the kernels
|
||||
if kernels is None:
|
||||
|
|
@ -61,12 +61,14 @@ class MRD(Model):
|
|||
assert not ('kernel' in kw), "pass kernels through `kernels` argument"
|
||||
|
||||
self.input_dim = input_dim
|
||||
self.num_inducing = num_inducing
|
||||
self._debug = _debug
|
||||
self.num_inducing = num_inducing
|
||||
|
||||
self._init = True
|
||||
X = self._init_X(initx, likelihood_or_Y_list)
|
||||
Z = self._init_Z(initz, X)
|
||||
self.num_inducing = Z.shape[0] # ensure M==N if M>N
|
||||
|
||||
self.bgplvms = [BayesianGPLVM(l, input_dim=input_dim, kernel=k, X=X, Z=Z, num_inducing=self.num_inducing, **kw) for l, k in zip(likelihood_or_Y_list, kernels)]
|
||||
del self._init
|
||||
|
||||
|
|
@ -75,12 +77,36 @@ class MRD(Model):
|
|||
self.nparams = nparams.cumsum()
|
||||
|
||||
self.num_data = self.gref.num_data
|
||||
|
||||
self.NQ = self.num_data * self.input_dim
|
||||
self.MQ = self.num_inducing * self.input_dim
|
||||
|
||||
Model.__init__(self)
|
||||
self.ensure_default_constraints()
|
||||
|
||||
def getstate(self):
|
||||
return Model.getstate(self) + [self.names,
|
||||
self.bgplvms,
|
||||
self.gref,
|
||||
self.nparams,
|
||||
self.input_dim,
|
||||
self.num_inducing,
|
||||
self.num_data,
|
||||
self.NQ,
|
||||
self.MQ]
|
||||
|
||||
def setstate(self, state):
|
||||
self.MQ = state.pop()
|
||||
self.NQ = state.pop()
|
||||
self.num_data = state.pop()
|
||||
self.num_inducing = state.pop()
|
||||
self.input_dim = state.pop()
|
||||
self.nparams = state.pop()
|
||||
self.gref = state.pop()
|
||||
self.bgplvms = state.pop()
|
||||
self.names = state.pop()
|
||||
Model.setstate(self, state)
|
||||
|
||||
@property
|
||||
def X(self):
|
||||
return self.gref.X
|
||||
|
|
@ -255,12 +281,23 @@ class MRD(Model):
|
|||
self.Z = Z
|
||||
return Z
|
||||
|
||||
def _handle_plotting(self, fignum, axes, plotf):
|
||||
def _handle_plotting(self, fignum, axes, plotf, sharex=False, sharey=False):
|
||||
if axes is None:
|
||||
fig = pylab.figure(num=fignum, figsize=(4 * len(self.bgplvms), 3))
|
||||
fig = pylab.figure(num=fignum)
|
||||
sharex_ax = None
|
||||
sharey_ax = None
|
||||
for i, g in enumerate(self.bgplvms):
|
||||
try:
|
||||
if sharex:
|
||||
sharex_ax = ax # @UndefinedVariable
|
||||
sharex = False # dont set twice
|
||||
if sharey:
|
||||
sharey_ax = ax # @UndefinedVariable
|
||||
sharey = False # dont set twice
|
||||
except:
|
||||
pass
|
||||
if axes is None:
|
||||
ax = fig.add_subplot(1, len(self.bgplvms), i + 1)
|
||||
ax = fig.add_subplot(1, len(self.bgplvms), i + 1, sharex=sharex_ax, sharey=sharey_ax)
|
||||
elif isinstance(axes, (tuple, list)):
|
||||
ax = axes[i]
|
||||
else:
|
||||
|
|
@ -280,16 +317,27 @@ class MRD(Model):
|
|||
fig = self._handle_plotting(fignum, ax, lambda i, g, ax: ax.imshow(g.X))
|
||||
return fig
|
||||
|
||||
def plot_predict(self, fignum=None, ax=None, **kwargs):
|
||||
fig = self._handle_plotting(fignum, ax, lambda i, g, ax: ax.imshow(g. predict(g.X)[0], **kwargs))
|
||||
def plot_predict(self, fignum=None, ax=None, sharex=False, sharey=False, **kwargs):
|
||||
fig = self._handle_plotting(fignum,
|
||||
ax,
|
||||
lambda i, g, ax: ax.imshow(g. predict(g.X)[0], **kwargs),
|
||||
sharex=sharex, sharey=sharey)
|
||||
return fig
|
||||
|
||||
def plot_scales(self, fignum=None, ax=None, *args, **kwargs):
|
||||
fig = self._handle_plotting(fignum, ax, lambda i, g, ax: g.kern.plot_ARD(ax=ax, *args, **kwargs))
|
||||
def plot_scales(self, fignum=None, ax=None, titles=None, sharex=False, sharey=True, *args, **kwargs):
|
||||
"""
|
||||
:param:`titles` :
|
||||
titles for axes of datasets
|
||||
"""
|
||||
if titles is None:
|
||||
titles = [r'${}$'.format(name) for name in self.names]
|
||||
def plotf(i, g, ax):
|
||||
g.kern.plot_ARD(ax=ax, title=titles[i], *args, **kwargs)
|
||||
fig = self._handle_plotting(fignum, ax, plotf, sharex=sharex, sharey=sharey)
|
||||
return fig
|
||||
|
||||
def plot_latent(self, fignum=None, ax=None, *args, **kwargs):
|
||||
fig = self._handle_plotting(fignum, ax, lambda i, g, ax: g.plot_latent(ax=ax, *args, **kwargs))
|
||||
fig = self.gref.plot_latent(fignum=fignum, ax=ax, *args, **kwargs) # self._handle_plotting(fignum, ax, lambda i, g, ax: g.plot_latent(ax=ax, *args, **kwargs))
|
||||
return fig
|
||||
|
||||
def _debug_plot(self):
|
||||
|
|
@ -305,13 +353,4 @@ class MRD(Model):
|
|||
pylab.draw()
|
||||
fig.tight_layout()
|
||||
|
||||
def _debug_optimize(self, opt='scg', maxiters=5000, itersteps=10):
|
||||
iters = 0
|
||||
optstep = lambda: self.optimize(opt, messages=1, max_f_eval=itersteps)
|
||||
self._debug_plot()
|
||||
raw_input("enter to start debug")
|
||||
while iters < maxiters:
|
||||
optstep()
|
||||
self._debug_plot()
|
||||
iters += itersteps
|
||||
|
||||
|
|
|
|||
|
|
@ -45,3 +45,12 @@ class SparseGPClassification(SparseGP):
|
|||
|
||||
SparseGP.__init__(self, X, likelihood, kernel, Z=Z, normalize_X=normalize_X)
|
||||
self.ensure_default_constraints()
|
||||
|
||||
def getstate(self):
|
||||
return SparseGP.getstate(self)
|
||||
|
||||
|
||||
def setstate(self, state):
|
||||
return SparseGP.setstate(self, state)
|
||||
|
||||
pass
|
||||
|
|
|
|||
|
|
@ -43,3 +43,13 @@ class SparseGPRegression(SparseGP):
|
|||
|
||||
SparseGP.__init__(self, X, likelihood, kernel, Z=Z, normalize_X=normalize_X, X_variance=X_variance)
|
||||
self.ensure_default_constraints()
|
||||
pass
|
||||
|
||||
def getstate(self):
|
||||
return SparseGP.getstate(self)
|
||||
|
||||
|
||||
def setstate(self, state):
|
||||
return SparseGP.setstate(self, state)
|
||||
|
||||
pass
|
||||
|
|
|
|||
|
|
@ -28,6 +28,14 @@ class SparseGPLVM(SparseGPRegression, GPLVM):
|
|||
SparseGPRegression.__init__(self, X, Y, kernel=kernel, num_inducing=num_inducing)
|
||||
self.ensure_default_constraints()
|
||||
|
||||
def getstate(self):
|
||||
return SparseGPRegression.getstate(self)
|
||||
|
||||
|
||||
def setstate(self, state):
|
||||
return SparseGPRegression.setstate(self, state)
|
||||
|
||||
|
||||
def _get_param_names(self):
|
||||
return (sum([['X_%i_%i' % (n, q) for q in range(self.input_dim)] for n in range(self.num_data)], [])
|
||||
+ SparseGPRegression._get_param_names(self))
|
||||
|
|
|
|||
|
|
@ -42,3 +42,11 @@ class SVIGPRegression(SVIGP):
|
|||
|
||||
SVIGP.__init__(self, X, likelihood, kernel, Z, q_u=q_u, batchsize=batchsize)
|
||||
self.load_batch()
|
||||
|
||||
def getstate(self):
|
||||
return GPBase.getstate(self)
|
||||
|
||||
|
||||
def setstate(self, state):
|
||||
return GPBase.setstate(self, state)
|
||||
|
||||
|
|
|
|||
|
|
@ -28,6 +28,14 @@ class WarpedGP(GP):
|
|||
GP.__init__(self, X, likelihood, kernel, normalize_X=normalize_X)
|
||||
self._set_params(self._get_params())
|
||||
|
||||
def getstate(self):
|
||||
return GP.getstate(self)
|
||||
|
||||
|
||||
def setstate(self, state):
|
||||
return GP.setstate(self, state)
|
||||
|
||||
|
||||
def _scale_data(self, Y):
|
||||
self._Ymax = Y.max()
|
||||
self._Ymin = Y.min()
|
||||
|
|
|
|||
|
|
@ -7,7 +7,6 @@ import unittest
|
|||
import numpy
|
||||
from GPy.inference.conjugate_gradient_descent import CGD, RUNNING
|
||||
import pylab
|
||||
import time
|
||||
from scipy.optimize.optimize import rosen, rosen_der
|
||||
from GPy.inference.gradient_descent_update_rules import PolakRibiere
|
||||
|
||||
|
|
|
|||
|
|
@ -19,14 +19,14 @@ class ExamplesTests(unittest.TestCase):
|
|||
self.assertTrue(isinstance(Model, GPy.models))
|
||||
|
||||
"""
|
||||
def model_instance_generator(Model):
|
||||
def model_instance_generator(model):
|
||||
def check_model_returned(self):
|
||||
self._model_instance(Model)
|
||||
self._model_instance(model)
|
||||
return check_model_returned
|
||||
|
||||
def checkgrads_generator(Model):
|
||||
def checkgrads_generator(model):
|
||||
def model_checkgrads(self):
|
||||
self._checkgrad(Model)
|
||||
self._checkgrad(model)
|
||||
return model_checkgrads
|
||||
"""
|
||||
|
||||
|
|
@ -37,7 +37,7 @@ def model_checkgrads(model):
|
|||
|
||||
def model_instance(model):
|
||||
#assert isinstance(model, GPy.core.model)
|
||||
return isinstance(model, GPy.core.Model)
|
||||
return isinstance(model, GPy.core.model)
|
||||
|
||||
@nottest
|
||||
def test_models():
|
||||
|
|
|
|||
|
|
@ -2,13 +2,14 @@ import pylab as pb
|
|||
import numpy as np
|
||||
from .. import util
|
||||
|
||||
def plot_latent(model, labels=None, which_indices=None, resolution=50, ax=None, marker='o', s=40):
|
||||
def plot_latent(model, labels=None, which_indices=None, resolution=50, ax=None, marker='o', s=40, fignum=None, plot_inducing=False, legend=True):
|
||||
"""
|
||||
:param labels: a np.array of size model.num_data containing labels for the points (can be number, strings, etc)
|
||||
:param resolution: the resolution of the grid on which to evaluate the predictive variance
|
||||
"""
|
||||
if ax is None:
|
||||
ax = pb.gca()
|
||||
fig = pb.figure(num=fignum)
|
||||
ax = fig.add_subplot(111)
|
||||
util.plot.Tango.reset()
|
||||
|
||||
if labels is None:
|
||||
|
|
@ -66,26 +67,15 @@ def plot_latent(model, labels=None, which_indices=None, resolution=50, ax=None,
|
|||
ax.set_xlabel('latent dimension %i' % input_1)
|
||||
ax.set_ylabel('latent dimension %i' % input_2)
|
||||
|
||||
if not np.all(labels==1.):
|
||||
if not np.all(labels == 1.) and legend:
|
||||
ax.legend(loc=0, numpoints=1)
|
||||
|
||||
ax.set_xlim(xmin[0], xmax[0])
|
||||
ax.set_ylim(xmin[1], xmax[1])
|
||||
ax.grid(b=False) # remove the grid if present, it doesn't look good
|
||||
ax.set_aspect('auto') # set a nice aspect ratio
|
||||
return ax
|
||||
|
||||
|
||||
def plot_latent_indices(Model, which_indices=None, *args, **kwargs):
|
||||
|
||||
if which_indices is None:
|
||||
try:
|
||||
input_1, input_2 = np.argsort(Model.input_sensitivity())[:2]
|
||||
except:
|
||||
raise ValueError, "cannot Automatically determine which dimensions to plot, please pass 'which_indices'"
|
||||
else:
|
||||
input_1, input_2 = which_indices
|
||||
ax = plot_latent(Model, which_indices=[input_1, input_2], *args, **kwargs)
|
||||
# TODO: Here test if there are inducing points...
|
||||
ax.plot(Model.Z[:, input_1], Model.Z[:, input_2], '^w')
|
||||
|
||||
if plot_inducing:
|
||||
ax.plot(model.Z[:, input_1], model.Z[:, input_2], '^w')
|
||||
|
||||
return ax
|
||||
|
|
|
|||
|
|
@ -103,7 +103,7 @@ class lvm(matplotlib_show):
|
|||
self.cid = latent_axes[0].figure.canvas.mpl_connect('axes_enter_event', self.on_enter)
|
||||
|
||||
self.data_visualize = data_visualize
|
||||
self.Model = model
|
||||
self.model = model
|
||||
self.latent_axes = latent_axes
|
||||
self.sense_axes = sense_axes
|
||||
self.called = False
|
||||
|
|
@ -120,7 +120,7 @@ class lvm(matplotlib_show):
|
|||
def modify(self, vals):
|
||||
"""When latent values are modified update the latent representation and ulso update the output visualization."""
|
||||
self.vals = vals.copy()
|
||||
y = self.Model.predict(self.vals)[0]
|
||||
y = self.model.predict(self.vals)[0]
|
||||
self.data_visualize.modify(y)
|
||||
self.latent_handle.set_data(self.vals[self.latent_index[0]], self.vals[self.latent_index[1]])
|
||||
self.axes.figure.canvas.draw()
|
||||
|
|
@ -148,15 +148,15 @@ class lvm(matplotlib_show):
|
|||
# A click in the bar chart axis for selection a dimension.
|
||||
if self.sense_axes != None:
|
||||
self.sense_axes.cla()
|
||||
self.sense_axes.bar(np.arange(self.Model.input_dim),1./self.Model.input_sensitivity(),color='b')
|
||||
self.sense_axes.bar(np.arange(self.model.input_dim),1./self.model.input_sensitivity(),color='b')
|
||||
|
||||
if self.latent_index[1] == self.latent_index[0]:
|
||||
self.sense_axes.bar(np.array(self.latent_index[0]),1./self.Model.input_sensitivity()[self.latent_index[0]],color='y')
|
||||
self.sense_axes.bar(np.array(self.latent_index[1]),1./self.Model.input_sensitivity()[self.latent_index[1]],color='y')
|
||||
self.sense_axes.bar(np.array(self.latent_index[0]),1./self.model.input_sensitivity()[self.latent_index[0]],color='y')
|
||||
self.sense_axes.bar(np.array(self.latent_index[1]),1./self.model.input_sensitivity()[self.latent_index[1]],color='y')
|
||||
|
||||
else:
|
||||
self.sense_axes.bar(np.array(self.latent_index[0]),1./self.Model.input_sensitivity()[self.latent_index[0]],color='g')
|
||||
self.sense_axes.bar(np.array(self.latent_index[1]),1./self.Model.input_sensitivity()[self.latent_index[1]],color='r')
|
||||
self.sense_axes.bar(np.array(self.latent_index[0]),1./self.model.input_sensitivity()[self.latent_index[0]],color='g')
|
||||
self.sense_axes.bar(np.array(self.latent_index[1]),1./self.model.input_sensitivity()[self.latent_index[1]],color='r')
|
||||
|
||||
self.sense_axes.figure.canvas.draw()
|
||||
|
||||
|
|
@ -193,7 +193,7 @@ class lvm_dimselect(lvm):
|
|||
GPy.examples.dimensionality_reduction.BGPVLM_oil()
|
||||
|
||||
"""
|
||||
def __init__(self, vals, Model, data_visualize, latent_axes=None, sense_axes=None, latent_index=[0, 1], labels=None):
|
||||
def __init__(self, vals, model, data_visualize, latent_axes=None, sense_axes=None, latent_index=[0, 1], labels=None):
|
||||
if latent_axes==None and sense_axes==None:
|
||||
self.fig,(latent_axes,self.sense_axes) = plt.subplots(1,2)
|
||||
elif sense_axes==None:
|
||||
|
|
@ -202,7 +202,7 @@ class lvm_dimselect(lvm):
|
|||
else:
|
||||
self.sense_axes = sense_axes
|
||||
self.labels = labels
|
||||
lvm.__init__(self,vals,Model,data_visualize,latent_axes,sense_axes,latent_index)
|
||||
lvm.__init__(self,vals,model,data_visualize,latent_axes,sense_axes,latent_index)
|
||||
self.show_sensitivities()
|
||||
print "use left and right mouse butons to select dimensions"
|
||||
|
||||
|
|
@ -210,7 +210,7 @@ class lvm_dimselect(lvm):
|
|||
def on_click(self, event):
|
||||
|
||||
if event.inaxes==self.sense_axes:
|
||||
new_index = max(0,min(int(np.round(event.xdata-0.5)),self.Model.input_dim-1))
|
||||
new_index = max(0,min(int(np.round(event.xdata-0.5)),self.model.input_dim-1))
|
||||
if event.button == 1:
|
||||
# Make it red if and y-axis (red=port=left) if it is a left button click
|
||||
self.latent_index[1] = new_index
|
||||
|
|
@ -221,7 +221,7 @@ class lvm_dimselect(lvm):
|
|||
self.show_sensitivities()
|
||||
|
||||
self.latent_axes.cla()
|
||||
self.Model.plot_latent(which_indices=self.latent_index,
|
||||
self.model.plot_latent(which_indices=self.latent_index,
|
||||
ax=self.latent_axes, labels=self.labels)
|
||||
self.latent_handle = self.latent_axes.plot([0],[0],'rx',mew=2)[0]
|
||||
self.modify(self.latent_values)
|
||||
|
|
@ -235,7 +235,7 @@ class lvm_dimselect(lvm):
|
|||
|
||||
def on_leave(self,event):
|
||||
latent_values = self.latent_values.copy()
|
||||
y = self.Model.predict(latent_values[None,:])[0]
|
||||
y = self.model.predict(latent_values[None,:])[0]
|
||||
self.data_visualize.modify(y)
|
||||
|
||||
|
||||
|
|
|
|||
|
|
@ -9,6 +9,38 @@ core Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`domains` Module
|
||||
---------------------
|
||||
|
||||
.. automodule:: GPy.core.domains
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`fitc` Module
|
||||
------------------
|
||||
|
||||
.. automodule:: GPy.core.fitc
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`gp` Module
|
||||
----------------
|
||||
|
||||
.. automodule:: GPy.core.gp
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`gp_base` Module
|
||||
---------------------
|
||||
|
||||
.. automodule:: GPy.core.gp_base
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`model` Module
|
||||
-------------------
|
||||
|
||||
|
|
@ -17,10 +49,10 @@ core Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`parameterised` Module
|
||||
:mod:`parameterized` Module
|
||||
---------------------------
|
||||
|
||||
.. automodule:: GPy.core.parameterised
|
||||
.. automodule:: GPy.core.parameterized
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
|
@ -33,3 +65,27 @@ core Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`sparse_gp` Module
|
||||
-----------------------
|
||||
|
||||
.. automodule:: GPy.core.sparse_gp
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`svigp` Module
|
||||
-------------------
|
||||
|
||||
.. automodule:: GPy.core.svigp
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`transformations` Module
|
||||
-----------------------------
|
||||
|
||||
.. automodule:: GPy.core.transformations
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
|
|
|
|||
|
|
@ -25,14 +25,6 @@ examples Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`non_gaussian` Module
|
||||
--------------------------
|
||||
|
||||
.. automodule:: GPy.examples.non_gaussian
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`regression` Module
|
||||
------------------------
|
||||
|
||||
|
|
@ -41,6 +33,14 @@ examples Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`stochastic` Module
|
||||
------------------------
|
||||
|
||||
.. automodule:: GPy.examples.stochastic
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`tutorials` Module
|
||||
-----------------------
|
||||
|
||||
|
|
|
|||
|
|
@ -1,10 +1,18 @@
|
|||
inference Package
|
||||
=================
|
||||
|
||||
:mod:`SGD` Module
|
||||
-----------------
|
||||
:mod:`conjugate_gradient_descent` Module
|
||||
----------------------------------------
|
||||
|
||||
.. automodule:: GPy.inference.SGD
|
||||
.. automodule:: GPy.inference.conjugate_gradient_descent
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`gradient_descent_update_rules` Module
|
||||
-------------------------------------------
|
||||
|
||||
.. automodule:: GPy.inference.gradient_descent_update_rules
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
|
@ -25,3 +33,19 @@ inference Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`scg` Module
|
||||
-----------------
|
||||
|
||||
.. automodule:: GPy.inference.scg
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`sgd` Module
|
||||
-----------------
|
||||
|
||||
.. automodule:: GPy.inference.sgd
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
|
|
|
|||
161
doc/GPy.kern.rst
161
doc/GPy.kern.rst
|
|
@ -9,38 +9,6 @@ kern Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`Brownian` Module
|
||||
----------------------
|
||||
|
||||
.. automodule:: GPy.kern.Brownian
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`Matern32` Module
|
||||
----------------------
|
||||
|
||||
.. automodule:: GPy.kern.Matern32
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`Matern52` Module
|
||||
----------------------
|
||||
|
||||
.. automodule:: GPy.kern.Matern52
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`bias` Module
|
||||
------------------
|
||||
|
||||
.. automodule:: GPy.kern.bias
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`constructors` Module
|
||||
--------------------------
|
||||
|
||||
|
|
@ -49,30 +17,6 @@ kern Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`coregionalise` Module
|
||||
---------------------------
|
||||
|
||||
.. automodule:: GPy.kern.coregionalise
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`exponential` Module
|
||||
-------------------------
|
||||
|
||||
.. automodule:: GPy.kern.exponential
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`finite_dimensional` Module
|
||||
--------------------------------
|
||||
|
||||
.. automodule:: GPy.kern.finite_dimensional
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`kern` Module
|
||||
------------------
|
||||
|
||||
|
|
@ -81,107 +25,10 @@ kern Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`kernpart` Module
|
||||
----------------------
|
||||
Subpackages
|
||||
-----------
|
||||
|
||||
.. automodule:: GPy.kern.kernpart
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
.. toctree::
|
||||
|
||||
:mod:`linear` Module
|
||||
--------------------
|
||||
|
||||
.. automodule:: GPy.kern.linear
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`periodic_Matern32` Module
|
||||
-------------------------------
|
||||
|
||||
.. automodule:: GPy.kern.periodic_Matern32
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`periodic_Matern52` Module
|
||||
-------------------------------
|
||||
|
||||
.. automodule:: GPy.kern.periodic_Matern52
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`periodic_exponential` Module
|
||||
----------------------------------
|
||||
|
||||
.. automodule:: GPy.kern.periodic_exponential
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`prod` Module
|
||||
------------------
|
||||
|
||||
.. automodule:: GPy.kern.prod
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`prod_orthogonal` Module
|
||||
-----------------------------
|
||||
|
||||
.. automodule:: GPy.kern.prod_orthogonal
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`rational_quadratic` Module
|
||||
--------------------------------
|
||||
|
||||
.. automodule:: GPy.kern.rational_quadratic
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`rbf` Module
|
||||
-----------------
|
||||
|
||||
.. automodule:: GPy.kern.rbf
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`spline` Module
|
||||
--------------------
|
||||
|
||||
.. automodule:: GPy.kern.spline
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`symmetric` Module
|
||||
-----------------------
|
||||
|
||||
.. automodule:: GPy.kern.symmetric
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`sympykern` Module
|
||||
-----------------------
|
||||
|
||||
.. automodule:: GPy.kern.sympykern
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`white` Module
|
||||
-------------------
|
||||
|
||||
.. automodule:: GPy.kern.white
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
GPy.kern.parts
|
||||
|
||||
|
|
|
|||
|
|
@ -9,7 +9,7 @@ likelihoods Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`EP` Module
|
||||
:mod:`ep` Module
|
||||
----------------
|
||||
|
||||
.. automodule:: GPy.likelihoods.ep
|
||||
|
|
@ -17,7 +17,7 @@ likelihoods Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`Gaussian` Module
|
||||
:mod:`gaussian` Module
|
||||
----------------------
|
||||
|
||||
.. automodule:: GPy.likelihoods.gaussian
|
||||
|
|
@ -41,3 +41,11 @@ likelihoods Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`link_functions` Module
|
||||
----------------------------
|
||||
|
||||
.. automodule:: GPy.likelihoods.link_functions
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
|
|
|
|||
|
|
@ -9,7 +9,7 @@ models Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`Bayesian_GPLVM` Module
|
||||
:mod:`bayesian_gplvm` Module
|
||||
----------------------------
|
||||
|
||||
.. automodule:: GPy.models.bayesian_gplvm
|
||||
|
|
@ -17,18 +17,18 @@ models Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`gp` Module
|
||||
----------------
|
||||
:mod:`fitc_classification` Module
|
||||
---------------------------------
|
||||
|
||||
.. automodule:: GPy.models.gp
|
||||
.. automodule:: GPy.models.fitc_classification
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`gplvm` Module
|
||||
-------------------
|
||||
:mod:`gp_classification` Module
|
||||
-------------------------------
|
||||
|
||||
.. automodule:: GPy.models.gplvm
|
||||
.. automodule:: GPy.models.gp_classification
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
|
@ -41,18 +41,26 @@ models Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`sparse_gp` Module
|
||||
-----------------------
|
||||
:mod:`gplvm` Module
|
||||
-------------------
|
||||
|
||||
.. automodule:: GPy.models.sparse_gp
|
||||
.. automodule:: GPy.models.gplvm
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`SparseGPLVM` Module
|
||||
--------------------------
|
||||
:mod:`mrd` Module
|
||||
-----------------
|
||||
|
||||
.. automodule:: GPy.models.sparse_gplvm
|
||||
.. automodule:: GPy.models.mrd
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`sparse_gp_classification` Module
|
||||
--------------------------------------
|
||||
|
||||
.. automodule:: GPy.models.sparse_gp_classification
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
|
@ -65,13 +73,21 @@ models Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
.. :mod:`uncollapsed_sparse_GP` Module
|
||||
.. -----------------------------------
|
||||
:mod:`sparse_gplvm` Module
|
||||
--------------------------
|
||||
|
||||
.. .. automodule:: GPy.models.uncollapsed_sparse_GP
|
||||
.. :members:
|
||||
.. :undoc-members:
|
||||
.. :show-inheritance:
|
||||
.. automodule:: GPy.models.sparse_gplvm
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`svigp_regression` Module
|
||||
------------------------------
|
||||
|
||||
.. automodule:: GPy.models.svigp_regression
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`warped_gp` Module
|
||||
-----------------------
|
||||
|
|
|
|||
|
|
@ -1,6 +1,14 @@
|
|||
testing Package
|
||||
===============
|
||||
|
||||
:mod:`testing` Package
|
||||
----------------------
|
||||
|
||||
.. automodule:: GPy.testing
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`bgplvm_tests` Module
|
||||
--------------------------
|
||||
|
||||
|
|
@ -9,6 +17,22 @@ testing Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`cgd_tests` Module
|
||||
-----------------------
|
||||
|
||||
.. automodule:: GPy.testing.cgd_tests
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`checkgrad` Module
|
||||
-----------------------
|
||||
|
||||
.. automodule:: GPy.testing.checkgrad
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`examples_tests` Module
|
||||
----------------------------
|
||||
|
||||
|
|
@ -33,6 +57,14 @@ testing Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`mrd_tests` Module
|
||||
-----------------------
|
||||
|
||||
.. automodule:: GPy.testing.mrd_tests
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`prior_tests` Module
|
||||
-------------------------
|
||||
|
||||
|
|
@ -41,6 +73,22 @@ testing Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`psi_stat_expactation_tests` Module
|
||||
----------------------------------------
|
||||
|
||||
.. automodule:: GPy.testing.psi_stat_expactation_tests
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`psi_stat_gradient_tests` Module
|
||||
-------------------------------------
|
||||
|
||||
.. automodule:: GPy.testing.psi_stat_gradient_tests
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`sparse_gplvm_tests` Module
|
||||
--------------------------------
|
||||
|
||||
|
|
|
|||
|
|
@ -17,6 +17,14 @@ util Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`classification` Module
|
||||
----------------------------
|
||||
|
||||
.. automodule:: GPy.util.classification
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`datasets` Module
|
||||
----------------------
|
||||
|
||||
|
|
@ -25,6 +33,14 @@ util Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`decorators` Module
|
||||
------------------------
|
||||
|
||||
.. automodule:: GPy.util.decorators
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`linalg` Module
|
||||
--------------------
|
||||
|
||||
|
|
@ -41,6 +57,22 @@ util Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`mocap` Module
|
||||
-------------------
|
||||
|
||||
.. automodule:: GPy.util.mocap
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`pca` Module
|
||||
-----------------
|
||||
|
||||
.. automodule:: GPy.util.pca
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`plot` Module
|
||||
------------------
|
||||
|
||||
|
|
@ -49,6 +81,14 @@ util Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`plot_latent` Module
|
||||
-------------------------
|
||||
|
||||
.. automodule:: GPy.util.plot_latent
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`squashers` Module
|
||||
-----------------------
|
||||
|
||||
|
|
@ -57,6 +97,22 @@ util Package
|
|||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`univariate_Gaussian` Module
|
||||
---------------------------------
|
||||
|
||||
.. automodule:: GPy.util.univariate_Gaussian
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`visualize` Module
|
||||
-----------------------
|
||||
|
||||
.. automodule:: GPy.util.visualize
|
||||
:members:
|
||||
:undoc-members:
|
||||
:show-inheritance:
|
||||
|
||||
:mod:`warping_functions` Module
|
||||
-------------------------------
|
||||
|
||||
|
|
|
|||
|
|
@ -103,8 +103,10 @@ class Mock(object):
|
|||
#import mock
|
||||
|
||||
print "Mocking"
|
||||
MOCK_MODULES = ['pylab', 'sympy', 'sympy.utilities', 'sympy.utilities.codegen', 'sympy.core.cache', 'sympy.core', 'sympy.parsing', 'sympy.parsing.sympy_parser', 'matplotlib']
|
||||
#'matplotlib', 'matplotlib.color', 'matplotlib.pyplot', 'pylab' ]
|
||||
MOCK_MODULES = ['sympy',
|
||||
'sympy.utilities', 'sympy.utilities.codegen', 'sympy.core.cache',
|
||||
'sympy.core', 'sympy.parsing', 'sympy.parsing.sympy_parser',
|
||||
]
|
||||
for mod_name in MOCK_MODULES:
|
||||
sys.modules[mod_name] = Mock()
|
||||
|
||||
|
|
@ -288,7 +290,7 @@ latex_elements = {
|
|||
#'pointsize': '10pt',
|
||||
|
||||
# Additional stuff for the LaTeX preamble.
|
||||
#'preamble': '',
|
||||
'preamble': '\\usepackage{MnSymbol}',
|
||||
}
|
||||
|
||||
# Grouping the document tree into LaTeX files. List of tuples
|
||||
|
|
|
|||
|
|
@ -11,6 +11,7 @@ For a quick start, you can have a look at one of the tutorials:
|
|||
* `Interacting with models <tuto_interacting_with_models.html>`_
|
||||
* `A kernel overview <tuto_kernel_overview.html>`_
|
||||
* `Writing new kernels <tuto_creating_new_kernels.html>`_
|
||||
* `Writing new models <tuto_creating_new_models.html>`_
|
||||
|
||||
You may also be interested by some examples in the GPy/examples folder.
|
||||
|
||||
|
|
|
|||
64
doc/tuto_creating_new_models.rst
Normal file
64
doc/tuto_creating_new_models.rst
Normal file
|
|
@ -0,0 +1,64 @@
|
|||
.. _creating_new_models:
|
||||
|
||||
*******************
|
||||
Creating new Models
|
||||
*******************
|
||||
|
||||
In GPy all models inherit from the base class :py:class:`~GPy.core.parameterized.Parameterized`. :py:class:`~GPy.core.parameterized.Parameterized` is a class which allows for parameterization of objects. All it holds is functionality for tying, bounding and fixing of parameters. It also provides the functionality of searching and manipulating parameters by regular expression syntax. See :py:class:`~GPy.core.parameterized.Parameterized` for more information.
|
||||
|
||||
The :py:class:`~GPy.core.model.Model` class provides parameter introspection, objective function and optimization.
|
||||
|
||||
In order to fully use all functionality of :py:class:`~GPy.core.model.Model` some methods need to be implemented / overridden. In order to explain the functionality of those methods we will use a wrapper to the numpy ``rosen`` function, which holds input parameters :math:`\mathbf{X}`. Where :math:`\mathbf{X}\in\mathbb{R}^{N\times 1}`.
|
||||
|
||||
Obligatory methods
|
||||
==================
|
||||
|
||||
:py:meth:`~GPy.core.model.Model.__init__` :
|
||||
Initialize the model with the given parameters. In our example we have to store shape information of :math:`\mathbf X` and the parameters themselves::
|
||||
|
||||
self.X = X
|
||||
self.num_inputs = self.X.shape[0]
|
||||
assert self.X.ndim == 1, only vector inputs allowed
|
||||
|
||||
:py:meth:`~GPy.core.model.Model._get_params` :
|
||||
Return parameters of the model as a flattened numpy array-like. So, in our example we have to return the input parameters::
|
||||
|
||||
return self.X.flatten()
|
||||
|
||||
:py:meth:`~GPy.core.model.Model._set_params` :
|
||||
Set parameters, which have been fetched through :py:meth:`~GPy.core.model.Model._get_params`. In other words, "invert" the functionality of :py:meth:`~GPy.core.model.Model._get_params`::
|
||||
|
||||
self.X = params[:self.num_inputs*self.input_dim].reshape(self.num_inputs)
|
||||
|
||||
:py:meth:`~GPy.core.model.Model.log_likelihood` :
|
||||
Returns the log-likelihood of the new model. For our example this is just the call to ``rosen``::
|
||||
|
||||
return scipy.optimize.rosen(self.X)
|
||||
|
||||
:py:meth:`~GPy.core.model.Model._log_likelihood_gradients` :
|
||||
Returns the gradients with respect to all parameters::
|
||||
|
||||
return scipy.optimize.rosen_der(self.X)
|
||||
|
||||
|
||||
Optional methods
|
||||
================
|
||||
|
||||
If you want some special functionality please provide the following methods:
|
||||
|
||||
Using the pickle functionality
|
||||
------------------------------
|
||||
|
||||
To be able to use the pickle functionality ``m.pickle(<path>)`` the methods ``getstate(self)`` and ``setstate(self, state)`` have to be provided. The convention for a ``state`` in ``GPy`` is a list of all parameters, which are needed to restore the model. All classes provided in ``GPy`` follow this convention, thus you can just append to the state of the inherited class and call the inherited class' ``setstate`` with the appropriate state.
|
||||
|
||||
:py:meth:`~GPy.core.model.Model.getstate` :
|
||||
This method returns a state of the model, following the memento pattern. As we are inheriting from :py:class:`~GPy.core.model.Model`, we have to return the state of Model as well. In out example we have `X` and `num_inputs` as state::
|
||||
|
||||
return Model.getstate(self) + [self.X, self.num_inputs]
|
||||
|
||||
:py:meth:`~GPy.core.model.Model.setstate` :
|
||||
This method restores this model with the given ``state``::
|
||||
|
||||
self.num_inputs = state.pop()
|
||||
self.X = state.pop()
|
||||
return Model.setstate(self, state)
|
||||
|
|
@ -1,3 +1,5 @@
|
|||
.. _interacting_with_models:
|
||||
|
||||
*************************************
|
||||
Interacting with models
|
||||
*************************************
|
||||
|
|
@ -210,6 +212,6 @@ white_variance and noise_variance are tied together.::
|
|||
|
||||
Further Reading
|
||||
===============
|
||||
All of the mechansiams for dealing with parameters are baked right into GPy.core.model, from which all of the classes in GPy.models inherrit. To learn how to construct your own model, you might want to read ??link?? creating_new_models.
|
||||
All of the mechansiams for dealing with parameters are baked right into GPy.core.model, from which all of the classes in GPy.models inherrit. To learn how to construct your own model, you might want to read :ref:`creating_new_models`.
|
||||
|
||||
By deafult, GPy uses the tnc optimizer (from scipy.optimize.tnc). To use other optimisers, and to control the setting of those optimisers, as well as other funky features like automated restarts and diagnostics, you can read the optimization tutorial ??link??.
|
||||
By deafult, GPy uses the scg optimizer. To use other optimisers, and to control the setting of those optimisers, as well as other funky features like automated restarts and diagnostics, you can read the optimization tutorial ??link??.
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue