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Changes in plotting functions.
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5 changed files with 71 additions and 31 deletions
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@ -84,7 +84,7 @@ def toy_linear_1d_classification(seed=default_seed):
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likelihood = GPy.likelihoods.EP(data['Y'][:, 0:1],distribution)
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# Model definition
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m = GPy.models.GP(data['X'],kernel,likelihood=likelihood)
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m = GPy.models.GP(data['X'],likelihood=likelihood,kernel=kernel)
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# Optimize
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"""
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@ -98,9 +98,9 @@ def toy_linear_1d_classification(seed=default_seed):
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# Plot
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pb.subplot(211)
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m.plot_GP()
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m.plot_internal()
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pb.subplot(212)
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m.plot_output()
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m.plot()
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print(m)
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return m
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@ -42,7 +42,7 @@ class Gaussian(likelihood):
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"""
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mean = mu*self._std + self._mean
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true_var = (var + self._variance)*self._std**2
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_5pc = mean + mean - 2.*np.sqrt(var)
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_5pc = mean + - 2.*np.sqrt(var)
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_95pc = mean + 2.*np.sqrt(var)
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return mean, _5pc, _95pc
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@ -52,8 +52,8 @@ class probit(likelihood_function):
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mu = mu.flatten()
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var = var.flatten()
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mean = stats.norm.cdf(mu/np.sqrt(1+var))
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p_05 = np.zeros([mu.size])
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p_95 = np.ones([mu.size])
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p_05 = np.zeros(mu.shape)#np.zeros([mu.size])
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p_95 = np.zeros(mu.shape)#np.ones([mu.size])
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return mean, p_05, p_95
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class Poisson(likelihood_function):
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@ -7,7 +7,7 @@ import pylab as pb
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from .. import kern
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from ..core import model
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from ..util.linalg import pdinv,mdot
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from ..util.plot import gpplot,x_frame, Tango
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from ..util.plot import gpplot,x_frame1D,x_frame2D, Tango
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from ..likelihoods import EP
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class GP(model):
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@ -175,7 +175,7 @@ class GP(model):
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return mean, _5pc, _95pc
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def plot_GP(self,samples=0,plot_limits=None,which_data='all',which_functions='all',resolution=None,full_cov=False):
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def plot_internal(self,samples=0,plot_limits=None,which_data='all',which_functions='all',resolution=None,full_cov=False):
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"""
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Plot the GP's view of the world, where the data is normalised and the likelihood is Gaussian
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@ -200,22 +200,49 @@ class GP(model):
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if which_data=='all':
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which_data = slice(None)
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Xnew, xmin, xmax = x_frame(self.X, plot_limits=plot_limits)
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if self.X.shape[1] == 1:
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Xnew, xmin, xmax = x_frame1D(self.X, plot_limits=plot_limits)
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m,v = self._raw_predict(Xnew, slices=which_functions)
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gpplot(Xnew,m,m-np.sqrt(v),m+np.sqrt(v))
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pb.plot(self.X[which_data],self.likelihood.Y[which_data],'kx',mew=1.5)
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pb.xlim(xmin,xmax)
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elif X.shape[1]==2:
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resolution = resolution or 50
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Xnew, xmin, xmax,xx,yy = x_frame2D(self.X, plot_limits=plot_limits)
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m,v = self._raw_predict(Xnew, slices=which_functions)
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m = m.reshape(resolution,resolution)
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pb.contour(xx,yy,zz,vmin=zz.min(),vmax=zz.max(),cmap=pb.cm.jet)
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pb.scatter(Xorig[:,0],Xorig[:,1],40,Yorig,linewidth=0,cmap=pb.cm.jet,vmin=zz.min(),vmax=zz.max())
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pb.xlim(xmin[0],xmax[0])
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pb.ylim(xmin[1],xmax[1])
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else:
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raise NotImplementedError, "Cannot define a frame with more than two input dimensions"
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m,v = self._raw_predict(Xnew, slices=which_functions)
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gpplot(Xnew,m,m-np.sqrt(v),m+np.sqrt(v))
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pb.plot(self.X[which_data],self.likelihood.Y[which_data],'kx',mew=1.5)
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pb.xlim(xmin,xmax)
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def plot_output(self,samples=0,plot_limits=None,which_data='all',which_functions='all',resolution=None,full_cov=False):
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def plot(self,samples=0,plot_limits=None,which_data='all',which_functions='all',resolution=None,full_cov=False):
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if which_functions=='all':
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which_functions = [True]*self.kern.Nparts
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if which_data=='all':
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which_data = slice(None)
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Xnew, xmin, xmax = x_frame(self.X, plot_limits=plot_limits)
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m, lower, upper = self.predict(Xnew, slices=which_functions)
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gpplot(Xnew,m, lower, upper)
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pb.plot(self.X[which_data],self.likelihood.data[which_data],'kx',mew=1.5)
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ymin,ymax = self.likelihood.data.min()*1.2,self.likelihood.data.max()*1.2
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pb.xlim(xmin,xmax)
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pb.ylim(ymin,ymax)
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if self.X.shape[1] == 1:
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Xnew, xmin, xmax = x_frame1D(self.X, plot_limits=plot_limits)
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m, lower, upper = self.predict(Xnew, slices=which_functions)
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gpplot(Xnew,m, lower, upper)
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pb.plot(self.X[which_data],self.likelihood.data[which_data],'kx',mew=1.5)
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ymin,ymax = self.likelihood.data.min()*1.2,self.likelihood.data.max()*1.2
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pb.xlim(xmin,xmax)
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pb.ylim(ymin,ymax)
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elif X.shape[1]==2:
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resolution = resolution or 50
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Xnew, xmin, xmax,xx,yy = x_frame2D(self.X, plot_limits=plot_limits)
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m,v = self.predict(Xnew, slices=which_functions)
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m = m.reshape(resolution,resolution)
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pb.contour(xx,yy,zz,vmin=zz.min(),vmax=zz.max(),cmap=pb.cm.jet)
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pb.scatter(Xorig[:,0],Xorig[:,1],40,Yorig,linewidth=0,cmap=pb.cm.jet,vmin=zz.min(),vmax=zz.max())
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pb.xlim(xmin[0],xmax[0])
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pb.ylim(xmin[1],xmax[1])
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else:
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raise NotImplementedError, "Cannot define a frame with more than two input dimensions"
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@ -70,10 +70,11 @@ def align_subplots(N,M,xlim=None, ylim=None):
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else:
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removeUpperTicks()
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def x_frame(X,plot_limits=None,resolution=None):
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def x_frame1D(X,plot_limits=None,resolution=None):
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"""
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Internal helper function for making plots, returns a set of input values to plot as well as lower and upper limits
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"""
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assert X.shape[1] ==1, "x_frame1D is defined for one-dimensional inputs"
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if plot_limits is None:
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xmin,xmax = X.min(0),X.max(0)
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xmin, xmax = xmin-0.2*(xmax-xmin), xmax+0.2*(xmax-xmin)
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@ -82,12 +83,24 @@ def x_frame(X,plot_limits=None,resolution=None):
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else:
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raise ValueError, "Bad limits for plotting"
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if X.shape[1]==1:
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Xnew = np.linspace(xmin,xmax,resolution or 200)[:,None]
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elif X.shape[1]==2:
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resolution = resolution or 50
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xx,yy = np.mgrid[xmin[0]:xmax[0]:1j*resolution,xmin[1]:xmax[1]:1j*resolution]
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Xnew = np.vstack((xx.flatten(),yy.flatten())).T
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else:
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raise NotImplementedError, "Cannot define a frame with more than two input dimensions"
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Xnew = np.linspace(xmin,xmax,resolution or 200)[:,None]
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return Xnew, xmin, xmax
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def x_frame2D(X,plot_limits=None,resolution=None):
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"""
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Internal helper function for making plots, returns a set of input values to plot as well as lower and upper limits
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"""
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assert X.shape[1] ==2, "x_frame2D is defined for two-dimensional inputs"
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if plot_limits is None:
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xmin,xmax = X.min(0),X.max(0)
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xmin, xmax = xmin-0.2*(xmax-xmin), xmax+0.2*(xmax-xmin)
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elif len(plot_limits)==2:
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xmin, xmax = plot_limits
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else:
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raise ValueError, "Bad limits for plotting"
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resolution = resolution or 50
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xx,yy = np.mgrid[xmin[0]:xmax[0]:1j*resolution,xmin[1]:xmax[1]:1j*resolution]
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Xnew = np.vstack((xx.flatten(),yy.flatten())).T
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return Xnew, xx,yy,xmin, xmax
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