Commit 36ad66fa authored by Emmanuel PIGNAT's avatar Emmanuel PIGNAT
Browse files

changing name

parent 54cb6151
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%% Cell type:code id: tags:
``` python
import numpy as np
import matplotlib.pyplot as plt
import pbdlib as pbd
import os
%matplotlib inline
%load_ext autoreload
%autoreload 2
```
%% Cell type:markdown id: tags:
### Read data from file
%% Cell type:code id: tags:
``` python
filename = os.path.dirname(pbd.__file__) + '/data/gui/' + 'test_conditioning_002.npy'
data = np.load(filename)[()]
x = np.concatenate(data['x'], axis=0)[::3]
```
%% Cell type:code id: tags:
``` python
plt.plot(x[:, 0], x[:, 1], 'kx')
plt.axes().set_aspect('equal')
```
%%%% Output: display_data
![](data:image/png;base64,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)
%% Cell type:markdown id: tags:
### Learning a joint distribution
%% Cell type:code id: tags:
``` python
gmm = pbd.GMM(nb_dim=2, nb_states=6)
gmm.em(x, reg=0.1);
# based on sklearn.mixture.BayesianGaussianMixture
bgmm = pbd.VBayesianGMM({'n_components':15, 'n_init':5, 'reg_covar': 0.1 ** 2,
'covariance_prior': 10. ** 2 * np.eye(2),'mean_precision_prior':1e-9})
bgmm.posterior(x);
```
%% Cell type:code id: tags:
``` python
plt.plot(x[:, 0], x[:, 1], 'kx')
gmm.plot(color='steelblue')
bgmm.plot(color='gold')
plt.axes().set_aspect('equal')
```
%%%% Output: display_data
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)
%% Cell type:code id: tags:
``` python
x_in = np.linspace(-200, 200, 300)[:, None]
mu, sigma = gmm.condition(x_in, slice(0, 1), slice(1, 2))
bmu, bsigma = bgmm.condition(x_in, slice(0, 1), slice(1, 2))
```
%% Cell type:code id: tags:
``` python
plt.figure(figsize=(20, 5))
gmm.plot(color='steelblue')
plt.plot(x_in, mu, label='predictive distribution - frequentist', color='steelblue')
plt.fill_between(x_in[:, 0],
mu[:, 0] - sigma[:, 0, 0]**0.5,
mu[:, 0] + sigma[:, 0, 0]**0.5,
alpha=0.3, color='steelblue')
plt.fill_between(x_in[:, 0],
bmu[:, 0] - bsigma[:, 0, 0]**0.5,
bmu[:, 0] + bsigma[:, 0, 0]**0.5,
alpha=0.3, color='gold')
bgmm.plot(color='orangered')
plt.plot(x_in, bmu, label='posterior predictive distribution', color='gold')
plt.plot(x[:, 0], x[:, 1], 'kx')
plt.legend()
```
%%%% Output: execute_result
<matplotlib.legend.Legend at 0x7fc65645ef50>
%%%% Output: display_data
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)
%% Cell type:code id: tags:
``` python
```
%% Cell type:code id: tags:
``` python
```
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