diff --git a/GPy/core/parameterised.py b/GPy/core/parameterised.py index 81b6aa8a..6e5493ad 100644 --- a/GPy/core/parameterised.py +++ b/GPy/core/parameterised.py @@ -94,7 +94,7 @@ class parameterised(object): Other objects are passed through - i.e. integers which were'nt meant for grepping """ - if type(expr) is str: + if type(expr) in [str, np.string_, np.str]: expr = re.compile(expr) return np.nonzero([expr.search(name) for name in self._get_param_names()])[0] elif type(expr) is re._pattern_type: diff --git a/GPy/kern/Matern52.py b/GPy/kern/Matern52.py index e063d843..cbe02c83 100644 --- a/GPy/kern/Matern52.py +++ b/GPy/kern/Matern52.py @@ -31,14 +31,14 @@ class Matern52(kernpart): self.ARD = ARD if ARD == False: self.Nparam = 2 - self.name = 'Mat32' + self.name = 'Mat52' if lengthscale is not None: assert lengthscale.shape == (1,) else: lengthscale = np.ones(1) else: self.Nparam = self.D + 1 - self.name = 'Mat32_ARD' + self.name = 'Mat52_ARD' if lengthscale is not None: assert lengthscale.shape == (self.D,) else: diff --git a/GPy/kern/__init__.py b/GPy/kern/__init__.py index 20d84949..17bc607e 100644 --- a/GPy/kern/__init__.py +++ b/GPy/kern/__init__.py @@ -2,5 +2,5 @@ # Licensed under the BSD 3-clause license (see LICENSE.txt) -from constructors import rbf, Matern32, Matern52, exponential, linear, white, bias, finite_dimensional, spline, Brownian, rbf_sympy, sympykern, periodic_exponential, periodic_Matern32, periodic_Matern52 +from constructors import rbf, Matern32, Matern52, exponential, linear, white, bias, finite_dimensional, spline, Brownian, rbf_sympy, sympykern, periodic_exponential, periodic_Matern32, periodic_Matern52, product_orthogonal from kern import kern diff --git a/GPy/kern/constructors.py b/GPy/kern/constructors.py index b483c823..1e76f559 100644 --- a/GPy/kern/constructors.py +++ b/GPy/kern/constructors.py @@ -18,7 +18,7 @@ from Brownian import Brownian as Brownianpart from periodic_exponential import periodic_exponential as periodic_exponentialpart from periodic_Matern32 import periodic_Matern32 as periodic_Matern32part from periodic_Matern52 import periodic_Matern52 as periodic_Matern52part - +from product_orthogonal import product_orthogonal as product_orthogonalpart #TODO these s=constructors are not as clean as we'd like. Tidy the code up #using meta-classes to make the objects construct properly wthout them. @@ -241,3 +241,14 @@ def periodic_Matern52(D,variance=1., lengthscale=None, period=2*np.pi,n_freq=10, """ part = periodic_Matern52part(D,variance, lengthscale, period, n_freq, lower, upper) return kern(D, [part]) + +def product_orthogonal(k1,k2): + """ + Construct a product kernel + + :param k1, k2: the kernels to multiply + :type k1, k2: kernpart + :rtype: kernel object + """ + part = product_orthogonalpart(k1,k2) + return kern(k1.D+k2.D, [part]) diff --git a/GPy/kern/kern.py b/GPy/kern/kern.py index 5639dc39..0433d1f4 100644 --- a/GPy/kern/kern.py +++ b/GPy/kern/kern.py @@ -4,9 +4,9 @@ import numpy as np from ..core.parameterised import parameterised -from functools import partial from kernpart import kernpart import itertools +from product_orthogonal import product_orthogonal class kern(parameterised): def __init__(self,D,parts=[], input_slices=None): @@ -45,7 +45,6 @@ class kern(parameterised): for p in self.parts: assert isinstance(p,kernpart), "bad kernel part" - self.compute_param_slices() parameterised.__init__(self) @@ -133,6 +132,67 @@ class kern(parameterised): newkern.tied_indices = self.tied_indices + [self.Nparam + x for x in other.tied_indices] return newkern + def __mul__(self,other): + """ + Shortcut for `prod_orthogonal`. Note that `+` assumes that we sum 2 kernels defines on the same space whereas `*` assumes that the kernels are defined on different subspaces. + """ + return self.prod_orthogonal(other) + + def prod_orthogonal(self,other): + """ + multiply two kernels. Both kernels are defined on separate spaces. Note that the constrains on the parameters of the kernels to multiply will be lost. + :param other: the other kernel to be added + :type other: GPy.kern + """ + K1 = self.copy() + K2 = other.copy() + K1.unconstrain('') + K2.unconstrain('') + + prev_ties = K1.tied_indices + [arr + K1.Nparam for arr in K2.tied_indices] + K1.untie_everything() + K2.untie_everything() + + D = K1.D + K2.D + + newkernparts = [product_orthogonal(k1,k2).parts[0] for k1, k2 in itertools.product(K1.parts,K2.parts)] + + slices = [] + for sl1, sl2 in itertools.product(K1.input_slices,K2.input_slices): + s1, s2 = [False]*K1.D, [False]*K2.D + s1[sl1], s2[sl2] = [True], [True] + slices += [s1+s2] + + newkern = kern(D, newkernparts, slices) + + # create the ties + K1_param = [] + n = 0 + for k1 in K1.parts: + K1_param += [range(n,n+k1.Nparam)] + n += k1.Nparam + n = 0 + K2_param = [] + for k2 in K2.parts: + K2_param += [range(K1.Nparam+n,K1.Nparam+n+k2.Nparam)] + n += k2.Nparam + index_param = [] + for p1 in K1_param: + for p2 in K2_param: + index_param += [0] + p1[1:] + p2[1:] + index_param = np.array(index_param) + + # follow the previous ties + for arr in prev_ties: + for j in arr: + index_param[np.where(index_param==j)[0]] = arr[0] + + # tie + for i in np.unique(index_param)[1:]: + newkern.tie_param(np.where(index_param==i)[0]) + + return newkern + def _get_params(self): return np.hstack([p._get_params() for p in self.parts]) diff --git a/GPy/kern/product_orthogonal.py b/GPy/kern/product_orthogonal.py new file mode 100644 index 00000000..26456d8c --- /dev/null +++ b/GPy/kern/product_orthogonal.py @@ -0,0 +1,91 @@ +# Copyright (c) 2012, GPy authors (see AUTHORS.txt). +# Licensed under the BSD 3-clause license (see LICENSE.txt) + +from kernpart import kernpart +import numpy as np +import hashlib +from scipy import integrate + +class product_orthogonal(kernpart): + """ + Computes the product of 2 kernels + + :param k1, k2: the kernels to multiply + :type k1, k2: kernpart + :rtype: kernel object + + """ + def __init__(self,k1,k2): + assert k1._get_param_names()[0] == 'variance' and k2._get_param_names()[0] == 'variance', "Error: The multipication of kernels is only defined when the first parameters of the kernels to multiply is the variance." + self.D = k1.D + k2.D + self.Nparam = k1.Nparam + k2.Nparam - 1 + self.name = k1.name + '' + k2.name + self.k1 = k1 + self.k2 = k2 + self._set_params(np.hstack((k1._get_params()[0]*k2._get_params()[0], k1._get_params()[1:],k2._get_params()[1:]))) + + def _get_params(self): + """return the value of the parameters.""" + return self.params + + def _set_params(self,x): + """set the value of the parameters.""" + self.k1._set_params(np.hstack((1.,x[1:self.k1.Nparam]))) + self.k2._set_params(np.hstack((1.,x[self.k1.Nparam:]))) + self.params = x + + def _get_param_names(self): + """return parameter names.""" + return ['variance']+[self.k1.name + '_' + self.k1._get_param_names()[i+1] for i in range(self.k1.Nparam-1)] + [self.k2.name + '_' + self.k2._get_param_names()[i+1] for i in range(self.k2.Nparam-1)] + + def K(self,X,X2,target): + """Compute the covariance matrix between X and X2.""" + if X2 is None: X2 = X + target1 = np.zeros((X.shape[0],X2.shape[0])) + target2 = np.zeros((X.shape[0],X2.shape[0])) + self.k1.K(X[:,0:self.k1.D],X2[:,0:self.k1.D],target1) + self.k2.K(X[:,self.k1.D:],X2[:,self.k1.D:],target2) + target += self.params[0]*target1 * target2 + + def Kdiag(self,X,target): + """Compute the diagonal of the covariance matrix associated to X.""" + target1 = np.zeros((X.shape[0],)) + target2 = np.zeros((X.shape[0],)) + self.k1.Kdiag(X[:,0:self.k1.D],target1) + self.k2.Kdiag(X[:,self.k1.D:],target2) + target += self.params[0]*target1 * target2 + + def dK_dtheta(self,partial,X,X2,target): + """derivative of the covariance matrix with respect to the parameters.""" + if X2 is None: X2 = X + K1 = np.zeros((X.shape[0],X2.shape[0])) + K2 = np.zeros((X.shape[0],X2.shape[0])) + self.k1.K(X[:,0:self.k1.D],X2[:,0:self.k1.D],K1) + self.k2.K(X[:,self.k1.D:],X2[:,self.k1.D:],K2) + + k1_target = np.zeros(self.k1.Nparam) + k2_target = np.zeros(self.k2.Nparam) + self.k1.dK_dtheta(partial*K2, X[:,:self.k1.D], X2[:,:self.k1.D], k1_target) + self.k2.dK_dtheta(partial*K1, X[:,self.k1.D:], X2[:,self.k1.D:], k2_target) + + target[0] += np.sum(K1*K2*partial) + target[1:self.k1.Nparam] += self.params[0]* k1_target[1:] + target[self.k1.Nparam:] += self.params[0]* k2_target[1:] + + def dKdiag_dtheta(self,partial,X,target): + """derivative of the diagonal of the covariance matrix with respect to the parameters.""" + target[0] += 1 + + def dK_dX(self,partial,X,X2,target): + """derivative of the covariance matrix with respect to X.""" + if X2 is None: X2 = X + K1 = np.zeros((X.shape[0],X2.shape[0])) + K2 = np.zeros((X.shape[0],X2.shape[0])) + self.k1.K(X[:,0:self.k1.D],X2[:,0:self.k1.D],K1) + self.k2.K(X[:,self.k1.D:],X2[:,self.k1.D:],K2) + + self.k1.dK_dX(partial*K2, X[:,:self.k1.D], X2[:,:self.k1.D], target) + self.k2.dK_dX(partial*K1, X[:,self.k1.D:], X2[:,self.k1.D:], target) + + def dKdiag_dX(self,X,target): + pass diff --git a/GPy/kern/rbf.py b/GPy/kern/rbf.py index ea76e4f5..1506b323 100644 --- a/GPy/kern/rbf.py +++ b/GPy/kern/rbf.py @@ -26,28 +26,29 @@ class rbf(kernpart): :type ARD: Boolean :rtype: kernel object - .. Note: for rbf with different lengthscale on each dimension, see rbf_ARD + .. Note: this object implements both the ARD and 'spherical' version of the function """ def __init__(self,D,variance=1.,lengthscale=None,ARD=False): self.D = D + self.name = 'rbf' self.ARD = ARD if not ARD: self.Nparam = 2 - self.name = 'rbf' if lengthscale is not None: - assert lengthscale.shape == (1,) + lengthscale = np.asarray(lengthscale) + assert lengthscale.size == 1, "Only one lengthscale needed for non-ARD kernel" else: lengthscale = np.ones(1) else: self.Nparam = self.D + 1 - self.name = 'rbf_ARD' if lengthscale is not None: - assert lengthscale.shape == (self.D,) + lengthscale = np.asarray(lengthscale) + assert lengthscale.size == self.D, "bad number of lengthscales" else: lengthscale = np.ones(self.D) - self._set_params(np.hstack((variance,lengthscale))) + self._set_params(np.hstack((variance,lengthscale.flatten()))) #initialize cache self._Z, self._mu, self._S = np.empty(shape=(3,1)) diff --git a/GPy/util/datasets.py b/GPy/util/datasets.py index 071db5d6..5506fbef 100644 --- a/GPy/util/datasets.py +++ b/GPy/util/datasets.py @@ -116,7 +116,7 @@ def toy_linear_1d_classification(seed=default_seed): return {'X': X, 'Y': sample_class(2.*X), 'F': 2.*X} def rogers_girolami_olympics(): - olympic_data = scipy.io.loadmat('/home/neil/public_html/olympics.mat')['male100'] + olympic_data = scipy.io.loadmat(os.path.join(data_path, 'olympics.mat'))['male100'] X = olympic_data[:, 0][:, None] Y= olympic_data[:, 1][:, None] return {'X': X, 'Y': Y, 'info': "Olympic sprint times for 100 m men from 1896 until 2008. Example is from Rogers and Girolami's First Course in Machine Learning."} diff --git a/GPy/util/datasets/COPYRIGHT b/GPy/util/datasets/COPYRIGHT new file mode 100644 index 00000000..b0c26f9d --- /dev/null +++ b/GPy/util/datasets/COPYRIGHT @@ -0,0 +1 @@ +These datasets are reproduced for educational purposes only. No copyright infringement intended! diff --git a/GPy/util/datasets/DellaGattadata.mat b/GPy/util/datasets/DellaGattadata.mat new file mode 100644 index 00000000..fa70953e Binary files /dev/null and b/GPy/util/datasets/DellaGattadata.mat differ diff --git a/GPy/util/datasets/banana.txt b/GPy/util/datasets/banana.txt new file mode 100644 index 00000000..7f50ce4f --- /dev/null +++ b/GPy/util/datasets/banana.txt @@ -0,0 +1,5301 @@ +-1 -3.0898387 -0.83168647 +-1 -2.9808342 -0.15957534 +-1 -2.8360574 -0.17708113 +-1 -2.7678489 0.096217259 +-1 -2.6003502 0.21677229 +-1 -2.5624693 -0.078385908 +-1 -2.4124094 0.25988449 +-1 -2.3736195 -0.010002369 +-1 -2.3424292 0.24560361 +-1 -2.3212375 0.086108807 +1 -2.2843001 -1.0189387 +1 -2.2517489 -1.9629961 +-1 -2.2499202 0.16699851 +1 -2.1905021 -1.3004049 +-1 -2.1887042 0.099086783 +1 -2.1811689 -1.8767374 +1 -2.1690977 -0.52289999 +1 -2.1469883 -0.8576587 +1 -2.1430257 -0.47579202 +1 -2.1404626 -1.5866986 +1 -2.1396387 -1.4273546 +1 -2.1320511 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0.0000000e+00 0.0000000e+00 1.0000000e+00 diff --git a/GPy/util/datasets/oil_flow_3classes.pickle b/GPy/util/datasets/oil_flow_3classes.pickle new file mode 100644 index 00000000..1e8ca309 Binary files /dev/null and b/GPy/util/datasets/oil_flow_3classes.pickle differ diff --git a/GPy/util/datasets/olympics.mat b/GPy/util/datasets/olympics.mat new file mode 100644 index 00000000..e16c35b9 Binary files /dev/null and b/GPy/util/datasets/olympics.mat differ diff --git a/GPy/util/datasets/pumadyn-32nm/Dataset.data.gz b/GPy/util/datasets/pumadyn-32nm/Dataset.data.gz new file mode 100644 index 00000000..27b07e7c Binary files /dev/null and b/GPy/util/datasets/pumadyn-32nm/Dataset.data.gz differ diff --git a/GPy/util/datasets/pumadyn-32nm/Dataset.spec b/GPy/util/datasets/pumadyn-32nm/Dataset.spec new file mode 100644 index 00000000..aa2de227 --- /dev/null +++ b/GPy/util/datasets/pumadyn-32nm/Dataset.spec @@ -0,0 +1,44 @@ +# +# Puma forward dynamics -- 32nm = 32 inputs, high nonlinearity, med noise +# +# +Origin: simulated + +Usage: assessment + +Order: uninformative + +Attributes: + 1 theta1 u [-3.1416,3.1416] # ang position of joint 1 in radians + 2 theta2 u [-3.1416,3.1416] # ang position of joint 2 in radians + 3 theta3 u [-3.1416,3.1416] # ang position of joint 3 in radians + 4 theta4 u [-3.1416,3.1416] # ang position of joint 4 in radians + 5 theta5 u [-3.1416,3.1416] # ang position of joint 5 in radians + 6 theta6 u [-3.1416,3.1416] # ang position of joint 6 in radians + 7 thetad1 u (-Inf,Inf) # ang vel of joint 1 in rad/sec + 8 thetad2 u (-Inf,Inf) # ang vel of joint 2 in rad/sec + 9 thetad3 u (-Inf,Inf) # ang vel of joint 3 in rad/sec + 10 thetad4 u (-Inf,Inf) # ang vel of joint 4 in rad/sec + 11 thetad5 u (-Inf,Inf) # ang vel of joint 5 in rad/sec + 12 thetad6 u (-Inf,Inf) # ang vel of joint 6 in rad/sec + 13 tau1 u (-Inf,Inf) # torque on jt 1 + 14 tau2 u (-Inf,Inf) # torque on jt 2 + 15 tau3 u (-Inf,Inf) # torque on jt 3 + 16 tau4 u (-Inf,Inf) # torque on jt 4 + 17 tau5 u (-Inf,Inf) # torque on jt 5 + 18 dm1 u [0,Inf) # proportion change in mass of link 1 + 19 dm2 u [0,Inf) # prop change in mass of link 2 + 20 dm3 u [0,Inf) # prop change in mass of link 3 + 21 dm4 u [0,Inf) # prop change in mass of link 4 + 22 dm5 u [0,Inf) # prop change in mass of link 5 + 23 da1 u [0,Inf) # prop change in length of link 1 + 24 da2 u [0,Inf) # prop change in length of link 2 + 25 da3 u [0,Inf) # prop change in length of link 3 + 26 da4 u [0,Inf) # prop change in length of link 4 + 27 da5 u [0,Inf) # prop change in length of link 5 + 28 db1 u [0,Inf) # prop change in visc friction of link 1 + 29 db2 u [0,Inf) # prop change in visc friction of link 2 + 30 db3 u [0,Inf) # prop change in visc friction of link 3 + 31 db4 u [0,Inf) # prop change in visc friction of link 4 + 32 db5 u [0,Inf) # prop change in visc friction of link 5 + 33 thetadd6 u (-Inf,Inf) # ang acceleration of joint 6 diff --git a/GPy/util/datasets/pumadyn-32nm/accel/Prototask.data.gz b/GPy/util/datasets/pumadyn-32nm/accel/Prototask.data.gz new file mode 100644 index 00000000..20b51bbd Binary files /dev/null and b/GPy/util/datasets/pumadyn-32nm/accel/Prototask.data.gz differ diff --git a/GPy/util/datasets/pumadyn-32nm/accel/Prototask.spec b/GPy/util/datasets/pumadyn-32nm/accel/Prototask.spec new file mode 100644 index 00000000..e92fcd15 --- /dev/null +++ b/GPy/util/datasets/pumadyn-32nm/accel/Prototask.spec @@ -0,0 +1,12 @@ +# +# Prototask.spec +# +Cases: all +Origin: simulated +Inputs: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 +Order: retain +Targets: 33 +Test-Set-Size: 4096 +Training-Set-Sizes: 64 128 256 512 1024 +Test-Set-Selection: hierarchical +Maximum-Number-Of-Instances: 8 diff --git a/GPy/util/datasets/pumadyn-32nm/accel/std.prior b/GPy/util/datasets/pumadyn-32nm/accel/std.prior new file mode 100644 index 00000000..d5cf2c7c --- /dev/null +++ b/GPy/util/datasets/pumadyn-32nm/accel/std.prior @@ -0,0 +1,33 @@ + 1 NLMH real + 2 NLMH real + 3 NLMH real + 4 NLMH real + 5 NLMH real + 6 NLMH real + 7 NLMH real + 8 NLMH real + 9 NLMH real + 10 NLMH real + 11 NLMH real + 12 NLMH real + 13 NLMH real + 14 NLMH real + 15 NLMH real + 16 NLMH real + 17 NLMH real + 18 NLMH real + 19 NLMH real + 20 NLMH real + 21 NLMH real + 22 NLMH real + 23 NLMH real + 24 NLMH real + 25 NLMH real + 26 NLMH real + 27 NLMH real + 28 NLMH real + 29 NLMH real + 30 NLMH real + 31 NLMH real + 32 NLMH real + 33 NLMH real diff --git a/GPy/util/datasets/sonar_data b/GPy/util/datasets/sonar_data new file mode 100644 index 00000000..3a2401d8 --- /dev/null +++ b/GPy/util/datasets/sonar_data @@ -0,0 +1,209 @@ 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+3,103,5.1,1.4,1.2,5.0 +3,97,4.7,1.1,2.1,12.6 +3,102,5.3,1.4,1.3,6.7 + diff --git a/doc/conf.py b/doc/conf.py index 474836a2..f1c120b5 100644 --- a/doc/conf.py +++ b/doc/conf.py @@ -101,6 +101,9 @@ pygments_style = 'sphinx' # a list of builtin themes. html_theme = 'default' +# This is to revert to the default theme on readthedocs +html_style = '/default.css' + # Theme options are theme-specific and customize the look and feel of a theme # further. For a list of options available for each theme, see the # documentation. @@ -291,4 +294,3 @@ epub_copyright = u'2013, Author' # Allow duplicate toc entries. #epub_tocdup = True - diff --git a/doc/index.rst b/doc/index.rst index 818a71db..28690e99 100644 --- a/doc/index.rst +++ b/doc/index.rst @@ -5,6 +5,14 @@ Welcome to GPy's documentation! =============================== +For a quick start, you can have a look at one of the tutorials: + +* `Basic Gaussian process regression `_ +* Advanced GP regression (Forthcoming) +* Kernel manipulation (Forthcoming) +* Writting kernels (Forthcoming) + +You may also be interested by some examples in the GPy/examples folder. Contents: