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Added option to plot the transformed link function (posterior once the link function has been applied)
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parent
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commit
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2 changed files with 77 additions and 17 deletions
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@ -1,4 +1,4 @@
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# Copyright (c) 2012, GPy authors (see AUTHORS.txt).
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# Copyright (c) 2012-2015, GPy authors (see AUTHORS.txt).
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# Licensed under the BSD 3-clause license (see LICENSE.txt)
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try:
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@ -16,7 +16,8 @@ def plot_fit(model, plot_limits=None, which_data_rows='all',
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which_data_ycols='all', fixed_inputs=[],
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levels=20, samples=0, fignum=None, ax=None, resolution=None,
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plot_raw=False,
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linecol=Tango.colorsHex['darkBlue'],fillcol=Tango.colorsHex['lightBlue'], Y_metadata=None, data_symbol='kx'):
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linecol=Tango.colorsHex['darkBlue'],fillcol=Tango.colorsHex['lightBlue'], Y_metadata=None, data_symbol='kx',
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apply_link=False, samples_f=0, plot_uncertain_inputs=True):
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"""
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Plot the posterior of the GP.
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- In one dimension, the function is plotted with a shaded region identifying two standard deviations.
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@ -38,7 +39,7 @@ def plot_fit(model, plot_limits=None, which_data_rows='all',
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:type resolution: int
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:param levels: number of levels to plot in a contour plot.
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:type levels: int
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:param samples: the number of a posteriori samples to plot
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:param samples: the number of a posteriori samples to plot p(y*|y)
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:type samples: int
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:param fignum: figure to plot on.
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:type fignum: figure number
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@ -49,6 +50,10 @@ def plot_fit(model, plot_limits=None, which_data_rows='all',
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:type linecol:
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:param fillcol: color of fill
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:param levels: for 2D plotting, the number of contour levels to use is ax is None, create a new figure
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:param apply_link: apply the link function if plotting f (default false)
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:type apply_link: boolean
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:param samples_f: the number of posteriori f samples to plot p(f*|y)
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:type samples_f: int
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"""
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#deal with optional arguments
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if which_data_rows == 'all':
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@ -88,8 +93,14 @@ def plot_fit(model, plot_limits=None, which_data_rows='all',
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#make a prediction on the frame and plot it
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if plot_raw:
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m, v = model._raw_predict(Xgrid)
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lower = m - 2*np.sqrt(v)
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upper = m + 2*np.sqrt(v)
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if apply_link:
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lower = model.likelihood.gp_link.transf(m - 2*np.sqrt(v))
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upper = model.likelihood.gp_link.transf(m + 2*np.sqrt(v))
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#Once transformed this is now the median of the function
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m = model.likelihood.gp_link.transf(m)
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else:
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lower = m - 2*np.sqrt(v)
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upper = m + 2*np.sqrt(v)
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else:
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if isinstance(model,GPCoregionalizedRegression) or isinstance(model,SparseGPCoregionalizedRegression):
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meta = {'output_index': Xgrid[:,-1:].astype(np.int)}
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@ -110,13 +121,31 @@ def plot_fit(model, plot_limits=None, which_data_rows='all',
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plots['posterior_samples'] = ax.plot(Xnew, yi[:,None], Tango.colorsHex['darkBlue'], linewidth=0.25)
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#ax.plot(Xnew, yi[:,None], marker='x', linestyle='--',color=Tango.colorsHex['darkBlue']) #TODO apply this line for discrete outputs.
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if samples_f: #NOTE not tested with fixed_inputs
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Fsim = model.posterior_samples_f(Xgrid, samples_f)
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for fi in Fsim.T:
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plots['posterior_samples_f'] = ax.plot(Xnew, fi[:,None], Tango.colorsHex['darkBlue'], linewidth=0.25)
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#ax.plot(Xnew, yi[:,None], marker='x', linestyle='--',color=Tango.colorsHex['darkBlue']) #TODO apply this line for discrete outputs.
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#add error bars for uncertain (if input uncertainty is being modelled)
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if hasattr(model,"has_uncertain_inputs") and model.has_uncertain_inputs():
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plots['xerrorbar'] = ax.errorbar(X[which_data_rows, free_dims].flatten(), Y[which_data_rows, which_data_ycols].flatten(),
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xerr=2 * np.sqrt(X_variance[which_data_rows, free_dims].flatten()),
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ecolor='k', fmt=None, elinewidth=.5, alpha=.5)
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if hasattr(model,"has_uncertain_inputs") and model.has_uncertain_inputs() and plot_uncertain_inputs:
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if plot_raw:
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#add error bars for uncertain (if input uncertainty is being modelled), for plot_f
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#Hack to plot error bars on latent function, rather than on the data
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vs = model.X.mean.values.copy()
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for i,v in fixed_inputs:
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vs[:,i] = v
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m_X, _ = model._raw_predict(vs)
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if apply_link:
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m_X = model.likelihood.gp_link.transf(m_X)
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plots['xerrorbar'] = ax.errorbar(X[which_data_rows, free_dims].flatten(), m_X[which_data_rows, which_data_ycols].flatten(),
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xerr=2 * np.sqrt(X_variance[which_data_rows, free_dims].flatten()),
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ecolor='k', fmt=None, elinewidth=.5, alpha=.5)
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else:
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plots['xerrorbar'] = ax.errorbar(X[which_data_rows, free_dims].flatten(), Y[which_data_rows, which_data_ycols].flatten(),
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xerr=2 * np.sqrt(X_variance[which_data_rows, free_dims].flatten()),
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ecolor='k', fmt=None, elinewidth=.5, alpha=.5)
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#set the limits of the plot to some sensible values
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ymin, ymax = min(np.append(Y[which_data_rows, which_data_ycols].flatten(), lower)), max(np.append(Y[which_data_rows, which_data_ycols].flatten(), upper))
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@ -186,3 +215,29 @@ def plot_fit_f(model, *args, **kwargs):
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"""
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kwargs['plot_raw'] = True
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plot_fit(model,*args, **kwargs)
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def fixed_inputs(model, non_fixed_inputs, fix_routine='median'):
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"""
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Convenience function for returning back fixed_inputs where the other inputs
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are fixed using fix_routine
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:param model: model
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:type model: Model
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:param non_fixed_inputs: dimensions of non fixed inputs
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:type non_fixed_inputs: list
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:param fix_routine: fixing routine to use, 'mean', 'median', 'zero'
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:type fix_routine: string
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"""
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f_inputs = []
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if hasattr(model, 'has_uncertain_inputs') and model.has_uncertain_inputs():
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X = model.X.mean.values.copy()
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else:
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X = model.X.values.copy()
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for i in range(X.shape[1]):
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if i not in non_fixed_inputs:
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if fix_routine == 'mean':
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f_inputs.append( (i, np.mean(X[:,i])) )
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if fix_routine == 'median':
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f_inputs.append( (i, np.median(X[:,i])) )
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elif fix_routine == 'zero':
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f_inputs.append( (i, 0) )
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return f_inputs
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