Created
December 17, 2020 02:46
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| observed_stddev, observed_initial = (tf.convert_to_tensor(value=1, dtype=tf.float32), | |
| tf.convert_to_tensor(value=0., dtype=tf.float32)) | |
| level_scale_prior = tfd.LogNormal(loc=tf.math.log(0.05 * observed_stddev), scale=1, name='level_scale_prior') | |
| initial_state_prior = tfd.MultivariateNormalDiag(loc=observed_initial[..., tf.newaxis], | |
| scale_diag=(tf.abs(observed_initial) + observed_stddev)[..., tf.newaxis], | |
| name='initial_level_prior') | |
| ll_ssm = tfp.sts.LocalLevelStateSpaceModel(100, initial_state_prior=initial_state_prior, level_scale=level_scale_prior.sample()) | |
| ll_ssm_sample = np.squeeze(ll_ssm.sample().numpy()) | |
| x0 = 100 * np.random.rand(100) | |
| x1 = 90 * np.random.rand(100) | |
| y = 1.2 * x0 + 0.9 * x1 + ll_ssm_sample | |
| data = pd.DataFrame({'x0': x0, 'x1': x1, 'y': y}, columns=['y', 'x0', 'x1']) | |
| data.plot() | |
| plt.axvline(69, linestyle='--', color='k') | |
| plt.legend(); |
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