From 06109030187168167890c7a767841b0d2ee6bdeb Mon Sep 17 00:00:00 2001 From: mzwiessele Date: Mon, 5 Oct 2015 14:10:06 +0100 Subject: [PATCH] [plotting] magnification plot added --- GPy/examples/dimensionality_reduction.py | 23 ++ GPy/kern/_src/linear.py | 3 + GPy/models/bayesian_gplvm.py | 134 ------------ GPy/models/bayesian_gplvm_minibatch.py | 113 +--------- GPy/plotting/__init__.py | 10 +- GPy/plotting/gpy_plot/__init__.py | 2 +- GPy/plotting/gpy_plot/latent_plots.py | 196 ++++++++---------- GPy/plotting/gpy_plot/plot_util.py | 97 +++++++++ GPy/plotting/matplot_dep/plot_definitions.py | 2 +- GPy/testing/plotting_tests.py | 123 ++++++----- .../baseline/gp_class_-failed-diff.png | Bin 1391 -> 0 bytes .../plotting_tests/baseline/gp_class_.png | Bin 3378 -> 9420 bytes .../baseline/gp_class__pdf-failed-diff.png | Bin 2327 -> 0 bytes .../plotting_tests/baseline/gp_class__pdf.png | Bin 1518 -> 0 bytes .../baseline/gp_class_link-failed-diff.png | Bin 5381 -> 0 bytes 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bgplvm_simulation(optimize=True, verbose=1, m.kern.plot_ARD('BGPLVM Simulation ARD Parameters') return m +def gplvm_simulation(optimize=True, verbose=1, + plot=True, plot_sim=False, + max_iters=2e4, + ): + from GPy import kern + from GPy.models import GPLVM + + D1, D2, D3, N, num_inducing, Q = 13, 5, 8, 45, 3, 9 + _, _, Ylist = _simulate_matern(D1, D2, D3, N, num_inducing, plot_sim) + Y = Ylist[0] + k = kern.Linear(Q, ARD=True) # + kern.white(Q, _np.exp(-2)) # + kern.bias(Q) + # k = kern.RBF(Q, ARD=True, lengthscale=10.) + m = GPLVM(Y, Q, init="PCA", kernel=k) + m.likelihood.variance = .1 + + if optimize: + print("Optimizing model:") + m.optimize('bfgs', messages=verbose, max_iters=max_iters, + gtol=.05) + if plot: + m.X.plot("BGPLVM Latent Space 1D") + m.kern.plot_ARD('BGPLVM Simulation ARD Parameters') + return m def ssgplvm_simulation(optimize=True, verbose=1, plot=True, plot_sim=False, max_iters=2e4, useGPU=False diff --git a/GPy/kern/_src/linear.py b/GPy/kern/_src/linear.py index 0a582ac8..b743fdf0 100644 --- a/GPy/kern/_src/linear.py +++ b/GPy/kern/_src/linear.py @@ -109,6 +109,9 @@ class Linear(Kern): def gradients_X_diag(self, dL_dKdiag, X): return 2.*self.variances*dL_dKdiag[:,None]*X + def gradients_XX_diag(self, dL_dKdiag, X): + return 2*np.ones(X.shape)*self.variances + def input_sensitivity(self, summarize=True): return np.ones(self.input_dim) * self.variances diff --git a/GPy/models/bayesian_gplvm.py b/GPy/models/bayesian_gplvm.py index 88123227..fd02cb3e 100644 --- a/GPy/models/bayesian_gplvm.py +++ b/GPy/models/bayesian_gplvm.py @@ -99,137 +99,3 @@ class BayesianGPLVM(SparseGP_MPI): self.variational_prior.update_gradients_KL(self.X) self._Xgrad = self.X.gradient.copy() - #super(BayesianGPLVM, self).parameters_changed() - #self._log_marginal_likelihood -= self.variational_prior.KL_divergence(self.X) - - #self.X.mean.gradient, self.X.variance.gradient = self.kern.gradients_qX_expectations(variational_posterior=self.X, Z=self.Z, dL_dpsi0=self.grad_dict['dL_dpsi0'], dL_dpsi1=self.grad_dict['dL_dpsi1'], dL_dpsi2=self.grad_dict['dL_dpsi2']) - - # This is testing code ------------------------- -# i = np.random.randint(self.X.shape[0]) -# X_ = self.X.mean -# which = np.sqrt(((X_ - X_[i:i+1])**2).sum(1)).argsort()>(max(0, self.X.shape[0]-51)) -# _, _, grad_dict = self.inference_method.inference(self.kern, self.X[which], self.Z, self.likelihood, self.Y[which], self.Y_metadata) -# grad = self.kern.gradients_qX_expectations(variational_posterior=self.X[which], Z=self.Z, dL_dpsi0=grad_dict['dL_dpsi0'], dL_dpsi1=grad_dict['dL_dpsi1'], dL_dpsi2=grad_dict['dL_dpsi2']) -# -# self.X.mean.gradient[:] = 0 -# self.X.variance.gradient[:] = 0 -# self.X.mean.gradient[which] = grad[0] -# self.X.variance.gradient[which] = grad[1] - - # update for the KL divergence -# self.variational_prior.update_gradients_KL(self.X, which) - # ----------------------------------------------- - - # update for the KL divergence - #self.variational_prior.update_gradients_KL(self.X) - - def plot_latent(self, labels=None, which_indices=None, - resolution=50, ax=None, marker='o', s=40, - fignum=None, plot_inducing=True, legend=True, - plot_limits=None, - aspect='auto', updates=False, predict_kwargs={}, imshow_kwargs={}): - import sys - assert "matplotlib" in sys.modules, "matplotlib package has not been imported." - from ..plotting.matplot_dep import dim_reduction_plots - - return dim_reduction_plots.plot_latent(self, labels, which_indices, - resolution, ax, marker, s, - fignum, plot_inducing, legend, - plot_limits, aspect, updates, predict_kwargs, imshow_kwargs) - - def do_test_latents(self, Y): - """ - Compute the latent representation for a set of new points Y - - Notes: - This will only work with a univariate Gaussian likelihood (for now) - """ - N_test = Y.shape[0] - input_dim = self.Z.shape[1] - - means = np.zeros((N_test, input_dim)) - covars = np.zeros((N_test, input_dim)) - - dpsi0 = -0.5 * self.input_dim / self.likelihood.variance - dpsi2 = self.grad_dict['dL_dpsi2'][0][None, :, :] # TODO: this may change if we ignore het. likelihoods - V = Y/self.likelihood.variance - - #compute CPsi1V - #if self.Cpsi1V is None: - # psi1V = np.dot(self.psi1.T, self.likelihood.V) - # tmp, _ = linalg.dtrtrs(self._Lm, np.asfortranarray(psi1V), lower=1, trans=0) - # tmp, _ = linalg.dpotrs(self.LB, tmp, lower=1) - # self.Cpsi1V, _ = linalg.dtrtrs(self._Lm, tmp, lower=1, trans=1) - - dpsi1 = np.dot(self.posterior.woodbury_vector, V.T) - - #start = np.zeros(self.input_dim * 2) - - - from scipy.optimize import minimize - - for n, dpsi1_n in enumerate(dpsi1.T[:, :, None]): - args = (input_dim, self.kern.copy(), self.Z, dpsi0, dpsi1_n.T, dpsi2) - res = minimize(latent_cost_and_grad, jac=True, x0=np.hstack((means[n], covars[n])), args=args, method='BFGS') - xopt = res.x - mu, log_S = xopt.reshape(2, 1, -1) - means[n] = mu[0].copy() - covars[n] = np.exp(log_S[0]).copy() - - X = NormalPosterior(means, covars) - - return X - - def dmu_dX(self, Xnew): - """ - Calculate the gradient of the prediction at Xnew w.r.t Xnew. - """ - dmu_dX = np.zeros_like(Xnew) - for i in range(self.Z.shape[0]): - dmu_dX += self.kern.gradients_X(self.grad_dict['dL_dpsi1'][i:i + 1, :], Xnew, self.Z[i:i + 1, :]) - return dmu_dX - - def dmu_dXnew(self, Xnew): - """ - Individual gradient of prediction at Xnew w.r.t. each sample in Xnew - """ - gradients_X = np.zeros((Xnew.shape[0], self.num_inducing)) - ones = np.ones((1, 1)) - for i in range(self.Z.shape[0]): - gradients_X[:, i] = self.kern.gradients_X(ones, Xnew, self.Z[i:i + 1, :]).sum(-1) - return np.dot(gradients_X, self.grad_dict['dL_dpsi1']) - - def plot_steepest_gradient_map(self, *args, ** kwargs): - """ - See GPy.plotting.matplot_dep.dim_reduction_plots.plot_steepest_gradient_map - """ - import sys - assert "matplotlib" in sys.modules, "matplotlib package has not been imported." - from ..plotting.matplot_dep import dim_reduction_plots - - return dim_reduction_plots.plot_steepest_gradient_map(self,*args,**kwargs) - - -def latent_cost_and_grad(mu_S, input_dim, kern, Z, dL_dpsi0, dL_dpsi1, dL_dpsi2): - """ - objective function for fitting the latent variables for test points - (negative log-likelihood: should be minimised!) - """ - mu = mu_S[:input_dim][None] - log_S = mu_S[input_dim:][None] - S = np.exp(log_S) - - X = NormalPosterior(mu, S) - - psi0 = kern.psi0(Z, X) - psi1 = kern.psi1(Z, X) - psi2 = kern.psi2(Z, X) - - lik = dL_dpsi0 * psi0.sum() + np.einsum('ij,kj->...', dL_dpsi1, psi1) + np.einsum('ijk,lkj->...', dL_dpsi2, psi2) - 0.5 * np.sum(np.square(mu) + S) + 0.5 * np.sum(log_S) - - dLdmu, dLdS = kern.gradients_qX_expectations(dL_dpsi0, dL_dpsi1, dL_dpsi2, Z, X) - dmu = dLdmu - mu - # dS = S0 + S1 + S2 -0.5 + .5/S - dlnS = S * (dLdS - 0.5) + .5 - - return -lik, -np.hstack((dmu.flatten(), dlnS.flatten())) diff --git a/GPy/models/bayesian_gplvm_minibatch.py b/GPy/models/bayesian_gplvm_minibatch.py index 175c3e56..3ef43753 100644 --- a/GPy/models/bayesian_gplvm_minibatch.py +++ b/GPy/models/bayesian_gplvm_minibatch.py @@ -128,115 +128,4 @@ class BayesianGPLVMMiniBatch(SparseGPMiniBatch): d = self.output_dim self._log_marginal_likelihood -= kl_fctr*self.variational_prior.KL_divergence(self.X)*self.stochastics.batchsize/d - self._Xgrad = self.X.gradient.copy() - - def plot_latent(self, labels=None, which_indices=None, - resolution=50, ax=None, marker='o', s=40, - fignum=None, plot_inducing=True, legend=True, - plot_limits=None, - aspect='auto', updates=False, predict_kwargs={}, imshow_kwargs={}): - import sys - assert "matplotlib" in sys.modules, "matplotlib package has not been imported." - from ..plotting.matplot_dep import dim_reduction_plots - - return dim_reduction_plots.plot_latent(self, labels, which_indices, - resolution, ax, marker, s, - fignum, plot_inducing, legend, - plot_limits, aspect, updates, predict_kwargs, imshow_kwargs) - - def do_test_latents(self, Y): - """ - Compute the latent representation for a set of new points Y - - Notes: - This will only work with a univariate Gaussian likelihood (for now) - """ - N_test = Y.shape[0] - input_dim = self.Z.shape[1] - - means = np.zeros((N_test, input_dim)) - covars = np.zeros((N_test, input_dim)) - - dpsi0 = -0.5 * self.input_dim / self.likelihood.variance - dpsi2 = self.grad_dict['dL_dpsi2'][0][None, :, :] # TODO: this may change if we ignore het. likelihoods - V = Y/self.likelihood.variance - - #compute CPsi1V - #if self.Cpsi1V is None: - # psi1V = np.dot(self.psi1.T, self.likelihood.V) - # tmp, _ = linalg.dtrtrs(self._Lm, np.asfortranarray(psi1V), lower=1, trans=0) - # tmp, _ = linalg.dpotrs(self.LB, tmp, lower=1) - # self.Cpsi1V, _ = linalg.dtrtrs(self._Lm, tmp, lower=1, trans=1) - - dpsi1 = np.dot(self.posterior.woodbury_vector, V.T) - - #start = np.zeros(self.input_dim * 2) - - - from scipy.optimize import minimize - - for n, dpsi1_n in enumerate(dpsi1.T[:, :, None]): - args = (input_dim, self.kern.copy(), self.Z, dpsi0, dpsi1_n.T, dpsi2) - res = minimize(latent_cost_and_grad, jac=True, x0=np.hstack((means[n], covars[n])), args=args, method='BFGS') - xopt = res.x - mu, log_S = xopt.reshape(2, 1, -1) - means[n] = mu[0].copy() - covars[n] = np.exp(log_S[0]).copy() - - X = NormalPosterior(means, covars) - - return X - - def dmu_dX(self, Xnew): - """ - Calculate the gradient of the prediction at Xnew w.r.t Xnew. - """ - dmu_dX = np.zeros_like(Xnew) - for i in range(self.Z.shape[0]): - dmu_dX += self.kern.gradients_X(self.grad_dict['dL_dpsi1'][i:i + 1, :], Xnew, self.Z[i:i + 1, :]) - return dmu_dX - - def dmu_dXnew(self, Xnew): - """ - Individual gradient of prediction at Xnew w.r.t. each sample in Xnew - """ - gradients_X = np.zeros((Xnew.shape[0], self.num_inducing)) - ones = np.ones((1, 1)) - for i in range(self.Z.shape[0]): - gradients_X[:, i] = self.kern.gradients_X(ones, Xnew, self.Z[i:i + 1, :]).sum(-1) - return np.dot(gradients_X, self.grad_dict['dL_dpsi1']) - - def plot_steepest_gradient_map(self, *args, ** kwargs): - """ - See GPy.plotting.matplot_dep.dim_reduction_plots.plot_steepest_gradient_map - """ - import sys - assert "matplotlib" in sys.modules, "matplotlib package has not been imported." - from ..plotting.matplot_dep import dim_reduction_plots - - return dim_reduction_plots.plot_steepest_gradient_map(self,*args,**kwargs) - - -def latent_cost_and_grad(mu_S, input_dim, kern, Z, dL_dpsi0, dL_dpsi1, dL_dpsi2): - """ - objective function for fitting the latent variables for test points - (negative log-likelihood: should be minimised!) - """ - mu = mu_S[:input_dim][None] - log_S = mu_S[input_dim:][None] - S = np.exp(log_S) - - X = NormalPosterior(mu, S) - - psi0 = kern.psi0(Z, X) - psi1 = kern.psi1(Z, X) - psi2 = kern.psi2(Z, X) - - lik = dL_dpsi0 * psi0.sum() + np.einsum('ij,kj->...', dL_dpsi1, psi1) + np.einsum('ijk,lkj->...', dL_dpsi2, psi2) - 0.5 * np.sum(np.square(mu) + S) + 0.5 * np.sum(log_S) - - dLdmu, dLdS = kern.gradients_qX_expectations(dL_dpsi0, dL_dpsi1, dL_dpsi2, Z, X) - dmu = dLdmu - mu - # dS = S0 + S1 + S2 -0.5 + .5/S - dlnS = S * (dLdS - 0.5) + .5 - - return -lik, -np.hstack((dmu.flatten(), dlnS.flatten())) + self._Xgrad = self.X.gradient.copy() \ No newline at end of file diff --git a/GPy/plotting/__init__.py b/GPy/plotting/__init__.py index 0b6c9c89..b90bf938 100644 --- a/GPy/plotting/__init__.py +++ b/GPy/plotting/__init__.py @@ -36,14 +36,20 @@ if config.get('plotting', 'library') is not 'none': GP.plot_samples = gpy_plot.gp_plots.plot_samples GP.plot = gpy_plot.gp_plots.plot GP.plot_f = gpy_plot.gp_plots.plot_f - GP.plot_magnificaion = gpy_plot.latent_plots.plot_magnification + GP.plot_magnification = gpy_plot.latent_plots.plot_magnification from ..core import SparseGP SparseGP.plot_inducing = gpy_plot.data_plots.plot_inducing from ..models import GPLVM + from ..models import BayesianGPLVM + from ..models import bayesian_gplvm_minibatch GPLVM.plot_prediction_fit = gpy_plot.latent_plots.plot_prediction_fit - #GPLVM.plot_latent = gpy_plot.latent_plots.plot_latent + GPLVM.plot_latent = gpy_plot.latent_plots.plot_latent + BayesianGPLVM.plot_latent = gpy_plot.latent_plots.plot_latent + BayesianGPLVM.plot_prediction_fit = gpy_plot.latent_plots.plot_prediction_fit + bayesian_gplvm_minibatch.BayesianGPLVMMiniBatch.plot_latent = gpy_plot.latent_plots.plot_latent + bayesian_gplvm_minibatch.BayesianGPLVMMiniBatch.plot_prediction_fit = gpy_plot.latent_plots.plot_prediction_fit from ..kern import Kern #Kern.plot_covariance = gpy_plot.kern_plots.plot_kern diff --git a/GPy/plotting/gpy_plot/__init__.py b/GPy/plotting/gpy_plot/__init__.py index cec60bcf..6a4b7391 100644 --- a/GPy/plotting/gpy_plot/__init__.py +++ b/GPy/plotting/gpy_plot/__init__.py @@ -1,3 +1,3 @@ from .. import plotting_library as pl -from . import data_plots, gp_plots, latent_plots +from . import data_plots, gp_plots, latent_plots, kernel_plots, plot_util diff --git a/GPy/plotting/gpy_plot/latent_plots.py b/GPy/plotting/gpy_plot/latent_plots.py index 23235c44..bd19fb29 100644 --- a/GPy/plotting/gpy_plot/latent_plots.py +++ b/GPy/plotting/gpy_plot/latent_plots.py @@ -33,6 +33,15 @@ from .plot_util import get_x_y_var, get_free_dims, get_which_data_ycols,\ get_which_data_rows, update_not_existing_kwargs, helper_predict_with_model,\ helper_for_plot_data import itertools +from GPy.plotting.gpy_plot.plot_util import scatter_label_generator, subsample_X + +def _wait_for_updates(view, updates): + if updates: + clear = raw_input('yes or enter to deactivate updates - otherwise still do updates - use plots[imshow].deactivate() to clear') + if clear.lower() in 'yes' or clear == '': + view.deactivate() + else: + view.deactivate() def plot_prediction_fit(self, plot_limits=None, which_data_rows='all', which_data_ycols='all', @@ -88,7 +97,7 @@ def _plot_prediction_fit(self, canvas, plot_limits=None, scatter_kwargs = {} update_not_existing_kwargs(scatter_kwargs, pl.defaults.data_y_1d) # @UndefinedVariable plots['output'] = pl.scatter(canvas, Y[rows, ycols[0]], Y[rows, ycols[1]], - c=X[rows, free_dims[0]], + color=X[rows, free_dims[0]], **scatter_kwargs) if predict_kw is None: predict_kw = {} @@ -108,7 +117,9 @@ def plot_magnification(self, labels=None, which_indices=None, plot_limits=None, updates=False, mean=True, covariance=True, - kern=None, marker='<>^vsd', imshow_kwargs=None, **kwargs): + kern=None, marker='<>^vsd', + num_samples=1000, + imshow_kwargs=None, **kwargs): """ Plot the magnification factor of the GP on the inputs. This is the density of the GP as a gray scale. @@ -124,95 +135,23 @@ def plot_magnification(self, labels=None, which_indices=None, :param bool covariance: use the covariance of the Wishart embedding for the magnification factor :param :py:class:`~GPy.kern.Kern` kern: the kernel to use for prediction :param str marker: markers to use - cycle if more labels then markers are given + :param int num_samples: the number of samples to plot maximally. We do a stratified subsample from the labels, if the number of samples (in X) is higher then num_samples. :param imshow_kwargs: the kwargs for the imshow (magnification factor) :param kwargs: the kwargs for the scatter plots """ input_1, input_2 = self.get_most_significant_input_dimensions(which_indices) - #fethch the data points X that we'd like to plot - X, _, _ = get_x_y_var(self) - - if plot_limits is None: - xmin, ymin = X[:, [input_1, input_2]].min(0) - xmax, ymax = X[:, [input_1, input_2]].max(0) - x_r, y_r = xmax-xmin, ymax-ymin - xmin -= .1*x_r - xmax += .1*x_r - ymin -= .1*y_r - ymax += .1*y_r - else: - try: - xmin, xmax, ymin, ymax = plot_limits - except (TypeError, ValueError) as e: - try: - xmin, xmax = plot_limits - ymin, ymax = xmin, xmax - except (TypeError, ValueError) as e: - raise e.__class__("Wrong plot limits: {} given -> need (xmin, xmax, ymin, ymax)".format(plot_limits)) - xlim = (xmin, xmax) - ylim = (ymin, ymax) - from .. import Tango Tango.reset() if labels is None: labels = np.ones(self.num_data) - - if X.shape[0] > 1000: - print("Warning: subsampling X, as it has more samples then 1000. X.shape={!s}".format(X.shape)) - subsample = np.random.choice(X.shape[0], size=1000, replace=False) - X = X[subsample] - labels = labels[subsample] - #======================================================================= - # <<>> - # <<>> - # plt.close('all') - # fig, ax = plt.subplots(1,1) - # from GPy.plotting.matplot_dep.dim_reduction_plots import most_significant_input_dimensions - # import matplotlib.patches as mpatches - # i1, i2 = most_significant_input_dimensions(m, None) - # xmin, xmax = 100, -100 - # ymin, ymax = 100, -100 - # legend_handles = [] - # - # X = m.X.mean[:, [i1, i2]] - # X = m.X.variance[:, [i1, i2]] - # - # xmin = X[:,0].min(); xmax = X[:,0].max() - # ymin = X[:,1].min(); ymax = X[:,1].max() - # range_ = [[xmin, xmax], [ymin, ymax]] - # ul = np.unique(labels) - # - # for i, l in enumerate(ul): - # #cdict = dict(red =[(0., colors[i][0], colors[i][0]), (1., colors[i][0], colors[i][0])], - # # green=[(0., colors[i][0], colors[i][1]), (1., colors[i][1], colors[i][1])], - # # blue =[(0., colors[i][0], colors[i][2]), (1., colors[i][2], colors[i][2])], - # # alpha=[(0., 0., .0), (.5, .5, .5), (1., .5, .5)]) - # #cmap = LinearSegmentedColormap('{}'.format(l), cdict) - # cmap = LinearSegmentedColormap.from_list('cmap_{}'.format(str(l)), [colors[i], colors[i]], 255) - # cmap._init() - # #alphas = .5*(1+scipy.special.erf(np.linspace(-2,2, cmap.N+3)))#np.log(np.linspace(np.exp(0), np.exp(1.), cmap.N+3)) - # alphas = (scipy.special.erf(np.linspace(0,2.4, cmap.N+3)))#np.log(np.linspace(np.exp(0), np.exp(1.), cmap.N+3)) - # cmap._lut[:, -1] = alphas - # print l - # x, y = X[labels==l].T - # - # heatmap, xedges, yedges = np.histogram2d(x, y, bins=300, range=range_) - # #heatmap, xedges, yedges = np.histogram2d(x, y, bins=100) - # - # im = ax.imshow(heatmap, extent=[xedges[0], xedges[-1], yedges[0], yedges[-1]], cmap=cmap, aspect='auto', interpolation='nearest', label=str(l)) - # legend_handles.append(mpatches.Patch(color=colors[i], label=l)) - # ax.set_xlim(xmin, xmax) - # ax.set_ylim(ymin, ymax) - # plt.legend(legend_handles, [l.get_label() for l in legend_handles]) - # plt.draw() - # plt.show() - #======================================================================= - + legend = False # No legend if there is no labels given canvas, kwargs = pl.get_new_canvas(xlabel='latent dimension %i' % input_1, ylabel='latent dimension %i' % input_2, **kwargs) - _, _, _, _, _, Xgrid, _, _, _, _, resolution = helper_for_plot_data(self, ((xmin, ymin), (xmax, ymax)), (input_1, input_2), None, resolution) + X, _, _, _, _, Xgrid, _, _, xmin, xmax, resolution = helper_for_plot_data(self, plot_limits, (input_1, input_2), None, resolution) + X, labels = subsample_X(X, labels) def plot_function(x): Xtest_full = np.zeros((x.shape[0], X.shape[1])) @@ -223,44 +162,79 @@ def plot_magnification(self, labels=None, which_indices=None, imshow_kwargs = update_not_existing_kwargs(imshow_kwargs, pl.defaults.magnification) Y = plot_function(Xgrid[:, [input_1, input_2]]).reshape(resolution, resolution).T[::-1, :] view = pl.imshow(canvas, Y, - (xmin, ymin, xmax, ymax), + (xmin[0], xmin[1], xmax[1], xmax[1]), None, plot_function, resolution, vmin=Y.min(), vmax=Y.max(), **imshow_kwargs) - - # make sure labels are in order of input: - ulabels = [] - for lab in labels: - if not lab in ulabels: - ulabels.append(lab) - marker = itertools.cycle(list(marker)) - scatters = [] - - for ul in ulabels: - if type(ul) is np.string_: - this_label = ul - elif type(ul) is np.int64: - this_label = 'class %i' % ul - else: - this_label = unicode(ul) - m = marker.next() - - index = np.nonzero(labels == ul)[0] - if self.input_dim == 1: - x = X[index, input_1] - y = np.zeros(index.size) - else: - x = X[index, input_1] - y = X[index, input_2] + scatters = [] + for x, y, this_label, _, m in scatter_label_generator(labels, X, input_1, input_2, marker): update_not_existing_kwargs(kwargs, pl.defaults.latent_scatter) scatters.append(pl.scatter(canvas, x, y, marker=m, color=Tango.nextMedium(), label=this_label, **kwargs)) - plots = pl.show_canvas(canvas, dict(scatter=scatters, imshow=view), legend=legend, xlim=xlim, ylim=ylim) - if updates: - clear = raw_input('yes or enter to deactivate updates - otherwise still do updates - use plots[imshow].deactivate() to clear') - if clear.lower() in 'yes' or clear == '': - view.deactivate() - else: - view.deactivate() + plots = pl.show_canvas(canvas, dict(scatter=scatters, imshow=view), legend=legend, xlim=(xmin[0], xmax[0]), ylim=(xmin[1], xmax[1])) + _wait_for_updates(view, updates) + return plots + + +def plot_latent(self, labels=None, which_indices=None, + resolution=60, legend=True, + plot_limits=None, + updates=False, + kern=None, marker='<>^vsd', + num_samples=1000, + imshow_kwargs=None, **kwargs): + """ + Plot the latent space of the GP on the inputs. This is the + density of the GP posterior as a grey scale and the + scatter plot of the input dimemsions selected by which_indices. + + :param array-like labels: a label for each data point (row) of the inputs + :param (int, int) which_indices: which input dimensions to plot against each other + :param int resolution: the resolution at which we predict the magnification factor + :param bool legend: whether to plot the legend on the figure + :param plot_limits: the plot limits for the plot + :type plot_limits: (xmin, xmax, ymin, ymax) or ((xmin, xmax), (ymin, ymax)) + :param bool updates: if possible, make interactive updates using the specific library you are using + :param :py:class:`~GPy.kern.Kern` kern: the kernel to use for prediction + :param str marker: markers to use - cycle if more labels then markers are given + :param int num_samples: the number of samples to plot maximally. We do a stratified subsample from the labels, if the number of samples (in X) is higher then num_samples. + :param imshow_kwargs: the kwargs for the imshow (magnification factor) + :param kwargs: the kwargs for the scatter plots + """ + input_1, input_2 = self.get_most_significant_input_dimensions(which_indices) + + from .. import Tango + Tango.reset() + + if labels is None: + labels = np.ones(self.num_data) + legend = False # No legend if there is no labels given + + canvas, kwargs = pl.get_new_canvas(xlabel='latent dimension %i' % input_1, ylabel='latent dimension %i' % input_2, **kwargs) + + X, _, _, _, _, Xgrid, _, _, xmin, xmax, resolution = helper_for_plot_data(self, plot_limits, (input_1, input_2), None, resolution) + X, labels = subsample_X(X, labels) + + def plot_function(x): + Xtest_full = np.zeros((x.shape[0], X.shape[1])) + Xtest_full[:, [input_1, input_2]] = x + mf = np.log(self.predict(Xtest_full, kern=kern)[1]) + return mf + + imshow_kwargs = update_not_existing_kwargs(imshow_kwargs, pl.defaults.latent) + Y = plot_function(Xgrid[:, [input_1, input_2]]).reshape(resolution, resolution).T[::-1, :] + view = pl.imshow(canvas, Y, + (xmin[0], xmin[1], xmax[1], xmax[1]), + None, plot_function, resolution, + vmin=Y.min(), vmax=Y.max(), + **imshow_kwargs) + + scatters = [] + for x, y, this_label, _, m in scatter_label_generator(labels, X, input_1, input_2, marker): + update_not_existing_kwargs(kwargs, pl.defaults.latent_scatter) + scatters.append(pl.scatter(canvas, x, y, marker=m, color=Tango.nextMedium(), label=this_label, **kwargs)) + + plots = pl.show_canvas(canvas, dict(scatter=scatters, imshow=view), legend=legend, xlim=(xmin[0], xmax[0]), ylim=(xmin[1], xmax[1])) + _wait_for_updates(view, updates) return plots diff --git a/GPy/plotting/gpy_plot/plot_util.py b/GPy/plotting/gpy_plot/plot_util.py index 0defc9df..4f3fdaf2 100644 --- a/GPy/plotting/gpy_plot/plot_util.py +++ b/GPy/plotting/gpy_plot/plot_util.py @@ -30,6 +30,7 @@ import numpy as np from scipy import sparse +import itertools def helper_predict_with_model(self, Xgrid, plot_raw, apply_link, percentiles, which_data_ycols, predict_kw, samples=0): """ @@ -117,6 +118,102 @@ def helper_for_plot_data(self, plot_limits, visible_dims, fixed_inputs, resoluti Xgrid[:,i] = v return X, Xvar, Y, fixed_dims, free_dims, Xgrid, x, y, xmin, xmax, resolution +def scatter_label_generator(labels, X, input_1, input_2=None, marker=None): + ulabels = [] + for lab in labels: + if not lab in ulabels: + ulabels.append(lab) + + if marker is not None: + marker = itertools.cycle(list(marker)) + else: + m = None + + for ul in ulabels: + if type(ul) is np.string_: + this_label = ul + elif type(ul) is np.int64: + this_label = 'class %i' % ul + else: + this_label = unicode(ul) + + if marker is not None: + m = marker.next() + + index = np.nonzero(labels == ul)[0] + + if input_2 is None: + x = X[index, input_1] + y = np.zeros(index.size) + else: + x = X[index, input_1] + y = X[index, input_2] + yield x, y, this_label, index, m + +def subsample_X(X, labels, num_samples=1000): + """ + Stratified subsampling if labels are given. + This means due to rounding errors you might get a little differences between the + num_samples and the returned subsampled X. + """ + if X.shape[0] > num_samples: + print("Warning: subsampling X, as it has more samples then 1000. X.shape={!s}".format(X.shape)) + if labels is not None: + subsample = [] + for _, _, _, index, _ in scatter_label_generator(labels, X, 0): + subsample.append(np.random.choice(index, size=max(2, int(index.size*(float(num_samples)/X.shape[0]))), replace=False)) + subsample = np.hstack(subsample) + else: + subsample = np.random.choice(X.shape[0], size=1000, replace=False) + X = X[subsample] + labels = labels[subsample] + #======================================================================= + # <<>> + # <<>> + # plt.close('all') + # fig, ax = plt.subplots(1,1) + # from GPy.plotting.matplot_dep.dim_reduction_plots import most_significant_input_dimensions + # import matplotlib.patches as mpatches + # i1, i2 = most_significant_input_dimensions(m, None) + # xmin, xmax = 100, -100 + # ymin, ymax = 100, -100 + # legend_handles = [] + # + # X = m.X.mean[:, [i1, i2]] + # X = m.X.variance[:, [i1, i2]] + # + # xmin = X[:,0].min(); xmax = X[:,0].max() + # ymin = X[:,1].min(); ymax = X[:,1].max() + # range_ = [[xmin, xmax], [ymin, ymax]] + # ul = np.unique(labels) + # + # for i, l in enumerate(ul): + # #cdict = dict(red =[(0., colors[i][0], colors[i][0]), (1., colors[i][0], colors[i][0])], + # # green=[(0., colors[i][0], colors[i][1]), (1., colors[i][1], colors[i][1])], + # # blue =[(0., colors[i][0], colors[i][2]), (1., colors[i][2], colors[i][2])], + # # alpha=[(0., 0., .0), (.5, .5, .5), (1., .5, .5)]) + # #cmap = LinearSegmentedColormap('{}'.format(l), cdict) + # cmap = LinearSegmentedColormap.from_list('cmap_{}'.format(str(l)), [colors[i], colors[i]], 255) + # cmap._init() + # #alphas = .5*(1+scipy.special.erf(np.linspace(-2,2, cmap.N+3)))#np.log(np.linspace(np.exp(0), np.exp(1.), cmap.N+3)) + # alphas = (scipy.special.erf(np.linspace(0,2.4, cmap.N+3)))#np.log(np.linspace(np.exp(0), np.exp(1.), cmap.N+3)) + # cmap._lut[:, -1] = alphas + # print l + # x, y = X[labels==l].T + # + # heatmap, xedges, yedges = np.histogram2d(x, y, bins=300, range=range_) + # #heatmap, xedges, yedges = np.histogram2d(x, y, bins=100) + # + # im = ax.imshow(heatmap, extent=[xedges[0], xedges[-1], yedges[0], yedges[-1]], cmap=cmap, aspect='auto', interpolation='nearest', label=str(l)) + # legend_handles.append(mpatches.Patch(color=colors[i], label=l)) + # ax.set_xlim(xmin, xmax) + # ax.set_ylim(ymin, ymax) + # plt.legend(legend_handles, [l.get_label() for l in legend_handles]) + # plt.draw() + # plt.show() + #======================================================================= + return X, labels + def update_not_existing_kwargs(to_update, update_from): """ diff --git a/GPy/plotting/matplot_dep/plot_definitions.py b/GPy/plotting/matplot_dep/plot_definitions.py index f7d49fcb..46b67283 100644 --- a/GPy/plotting/matplot_dep/plot_definitions.py +++ b/GPy/plotting/matplot_dep/plot_definitions.py @@ -79,7 +79,7 @@ class MatplotlibPlots(AbstractPlottingLibrary): def scatter(self, ax, X, Y, Z=None, color=Tango.colorsHex['mediumBlue'], label=None, marker='o', **kwargs): if Z is not None: return ax.scatter(X, Y, c=color, zs=Z, label=label, marker=marker, **kwargs) - return ax.scatter(X, Y, c=color, label=label, **kwargs) + return ax.scatter(X, Y, c=color, label=label, marker=marker, **kwargs) def plot(self, ax, X, Y, color=None, label=None, **kwargs): return ax.plot(X, Y, color=color, label=label, **kwargs) diff --git a/GPy/testing/plotting_tests.py b/GPy/testing/plotting_tests.py index 3f8da666..4d2cb39d 100644 --- a/GPy/testing/plotting_tests.py +++ b/GPy/testing/plotting_tests.py @@ -31,6 +31,7 @@ import numpy as np import GPy, os from nose import SkipTest from matplotlib.testing.compare import compare_images +from matplotlib.testing.noseclasses import ImageComparisonFailure try: from matplotlib import cbook, pyplot as plt @@ -41,14 +42,15 @@ except: extensions = ['png'] -def _image_directories(func): +def _image_directories(): """ Compute the baseline and result image directories for testing *func*. Create the result directory if it doesn't exist. """ - module_name = func.__module__ - mods = module_name.split('.') - basedir = os.path.join(*mods) + basedir = os.path.splitext(os.path.relpath(os.path.abspath(__file__)))[0] + #module_name = __init__.__module__ + #mods = module_name.split('.') + #basedir = os.path.join(*mods) result_dir = os.path.join(basedir, 'testresult') baseline_dir = os.path.join(basedir, 'baseline') if not os.path.exists(result_dir): @@ -56,45 +58,44 @@ def _image_directories(func): return baseline_dir, result_dir -def sequenceEqual(a, b): +def _sequenceEqual(a, b): assert len(a) == len(b), "Sequences not same length" for i, [x, y], in enumerate(zip(a, b)): assert x == y, "element not matching {}".format(i) -def notFound(path): +def _notFound(path): raise IOError('File {} not in baseline') -class test_image_comparison(object): - def __init__(self, baseline_images=[], extensions=['pdf','svg','ong']): - self.baseline_images = baseline_images - self.extensions = extensions - self.f = None - - def __call__(self, func): - self.baseline_dir, self.result_dir = _image_directories(func) - def test_wrap(): - func() - for num, base in zip(plt.get_fignums(), self.baseline_images): - for ext in self.extensions: - fig = plt.figure(num) - fig.axes[0].set_axis_off() - fig.set_frameon(False) - fig.savefig(os.path.join(self.result_dir, "{}.{}".format(base, ext)), frameon=False) - actual = os.path.join(self.result_dir, "{}.{}".format(base, ext)) - expected = os.path.join(self.baseline_dir, "{}.{}".format(base, ext)) - yield compare_images, actual, expected, 1e-3 - plt.close('all') - #with open(os.path.join(self.result_dir, "{}.{}".format(base, ext)), 'r') as f: - # try: - # with open(os.path.join(self.baseline_dir, "{}.{}".format(base, ext)), 'r') as b: - # except: - # yield notFound, os.path.join(self.baseline_dir, "{}.{}".format(base, ext)) - #plt.close(num) +def _image_comparison(baseline_images, extensions=['pdf','svg','ong'], tol=1e-3): + baseline_dir, result_dir = _image_directories() + for num, base in zip(plt.get_fignums(), baseline_images): + for ext in extensions: + fig = plt.figure(num) + fig.axes[0].set_axis_off() + fig.set_frameon(False) + fig.canvas.draw() + fig.savefig(os.path.join(result_dir, "{}.{}".format(base, ext))) + for num, base in zip(plt.get_fignums(), baseline_images): + for ext in extensions: + #plt.close(num) + actual = os.path.join(result_dir, "{}.{}".format(base, ext)) + expected = os.path.join(baseline_dir, "{}.{}".format(base, ext)) + def do_test(): + err = compare_images(actual, expected, tol) + try: + if not os.path.exists(expected): + raise ImageComparisonFailure( + 'image does not exist: %s' % expected) + if err: + raise ImageComparisonFailure( + 'images not close: %(actual)s vs. %(expected)s ' + '(RMS %(rms).3f)'%err) + except ImageComparisonFailure: + pass + yield do_test + plt.close('all') - return test_wrap - -@test_image_comparison(baseline_images=['gp_{}'.format(sub) for sub in ["data", "mean", 'conf', 'density', 'error']], extensions=extensions) -def Plot(self=None): +def test_plot(self=None): np.random.seed(11111) X = np.random.uniform(0, 1, (40, 1)) f = .2 * np.sin(1.3*X) + 1.3*np.cos(2*X) @@ -106,24 +107,22 @@ def Plot(self=None): m.plot_confidence() m.plot_density() m.plot_errorbars_trainset() + m.plot_samples() + for do_test in _image_comparison(baseline_images=['gp_{}'.format(sub) for sub in ["data", "mean", 'conf', 'density', 'error', 'samples']], extensions=extensions): + yield (do_test, ) -@test_image_comparison(baseline_images=['sparse_gp_{}'.format(sub) for sub in ["data", "mean", 'conf', 'density', 'error', 'inducing']], extensions=extensions) -def PlotSparse(self=None): +def test_plot_sparse(self=None): np.random.seed(11111) - X = np.random.uniform(0, 1, (40, 1)) + X = np.random.uniform(-1, 1, (40, 1)) f = .2 * np.sin(1.3*X) + 1.3*np.cos(2*X) Y = f+np.random.normal(0, .1, f.shape) m = GPy.models.SparseGPRegression(X, Y) m.optimize() - m.plot_data() - m.plot_mean() - m.plot_confidence() - m.plot_density() - m.plot_errorbars_trainset() m.plot_inducing() + for do_test in _image_comparison(baseline_images=['sparse_gp_{}'.format(sub) for sub in ['inducing']], extensions=extensions): + yield (do_test, ) -@test_image_comparison(baseline_images=['gp_class_{}'.format(sub) for sub in ["", "raw", 'link', 'raw_link']], extensions=extensions) -def PlotClassification(self=None): +def test_plot_classification(self=None): np.random.seed(11111) X = np.random.uniform(0, 1, (40, 1)) f = .2 * np.sin(1.3*X) + 1.3*np.cos(2*X) @@ -134,9 +133,11 @@ def PlotClassification(self=None): m.plot(plot_raw=True) m.plot(plot_raw=False, apply_link=True) m.plot(plot_raw=True, apply_link=True) + for do_test in _image_comparison(baseline_images=['gp_class_{}'.format(sub) for sub in ["", "raw", 'link', 'raw_link']], extensions=extensions): + yield (do_test, ) -@test_image_comparison(baseline_images=['sparse_gp_class_{}'.format(sub) for sub in ["", "raw", 'link', 'raw_link']], extensions=extensions) -def PlotSparseClassification(self=None): + +def test_plot_sparse_classification(self=None): np.random.seed(11111) X = np.random.uniform(0, 1, (40, 1)) f = .2 * np.sin(1.3*X) + 1.3*np.cos(2*X) @@ -147,3 +148,29 @@ def PlotSparseClassification(self=None): m.plot(plot_raw=True) m.plot(plot_raw=False, apply_link=True) m.plot(plot_raw=True, apply_link=True) + for do_test in _image_comparison(baseline_images=['sparse_gp_class_{}'.format(sub) for sub in ["", "raw", 'link', 'raw_link']], extensions=extensions): + yield (do_test, ) + +def test_gplvm_plot(self=None): + from ..examples.dimensionality_reduction import _simulate_matern + from ..kern import RBF + from ..models import GPLVM + Q = 3 + _, _, Ylist = _simulate_matern(5, 1, 1, 100, num_inducing=5, plot_sim=False) + Y = Ylist[0] + k = RBF(Q, ARD=True) # + kern.white(Q, _np.exp(-2)) # + kern.bias(Q) + # k = kern.RBF(Q, ARD=True, lengthscale=10.) + m = GPLVM(Y, Q, init="PCA", kernel=k) + m.likelihood.variance = .1 + m.optimize(messages=0) + labels = np.random.multinomial(1, np.random.dirichlet([.3333333, .3333333, .3333333]), size=(m.Y.shape[0])).nonzero()[1] + m.plot_prediction_fit(which_data_ycols=(0,1)) # ignore this test, as plotting is not consistent!! + plt.close('all') + m.plot_latent() + m.plot_magnification(labels=labels) + for do_test in _image_comparison(baseline_images=['gplvm_{}'.format(sub) for sub in ["latent", "magnification"]], extensions=extensions): + yield (do_test, ) + +if __name__ == '__main__': + import nose + nose.main() diff --git a/GPy/testing/plotting_tests/baseline/gp_class_-failed-diff.png b/GPy/testing/plotting_tests/baseline/gp_class_-failed-diff.png deleted file mode 100644 index e6f3f30875354e1014e584a5eaa521cc43c87973..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 1391 zcmeAS@N?(olHy`uVBq!ia0y~yV4MKNIvi|3k+<8Q9s*J<#ZI0f96(URkbz7g^d{fC^;GP^g z?XP`p%&U&pT{{2cW;~r$t@B{VUuB?z{V&dNy6_+jkc%pI5pPIAM 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