def test_summary(self):
# tests summary functions when time not given
results = pints.MCMCSummary(self.chains)
summary = np.array(results.summary())
self.assertEqual(summary.shape[0], 3)
self.assertEqual(summary.shape[1], 10)
text = str(results)
names = [
'param',
'mean',
'std.',
'2.5%',
'25%',
'50%',
'75%',
'97.5%',
'rhat',
'ess',
]
for name in names:
self.assertIn(name, text)
# tests summary functions when time is given
results = pints.MCMCSummary(self.chains, 20)
summary = np.array(results.summary())
self.assertEqual(summary.shape[0], 3)
self.assertEqual(summary.shape[1], 11)
text = str(results)
names.append('ess per sec.')
for name in names:
self.assertIn(name, text)
def test_single_chain(self):
# tests that single chain is broken up into two bits
xs = [self.real_parameters * 0.9]
mcmc = pints.MCMCController(self.log_posterior,
1,
xs,
method=pints.HaarioBardenetACMC)
mcmc.set_max_iterations(200)
mcmc.set_initial_phase_iterations(50)
mcmc.set_log_to_screen(False)
chains = mcmc.run()
results = pints.MCMCSummary(chains)
chains1 = results.chains()
self.assertEqual(chains[0].shape[0], chains1[0].shape[0])
self.assertEqual(chains[0].shape[1], chains1[0].shape[1])
self.assertEqual(chains[0][10, 1], chains[0][10, 1])
self.assertEqual(results.time(), None)
self.assertEqual(results.ess_per_second(), None)
self.assertTrue(len(results.ess()), 3)
self.assertTrue(len(results.mean()), 3)
self.assertTrue(len(results.rhat()), 3)
self.assertTrue(len(results.std()), 3)
# check positive quantities are so
for i in range(3):
self.assertTrue(results.ess()[i] > 0)
self.assertTrue(results.ess()[i] < 1000)
self.assertTrue(results.rhat()[i] > 0)
self.assertTrue(results.std()[i] > 0)
self.assertTrue(results.mean()[i] > 0)
# check means are vaguely near true values
self.assertTrue(np.abs(results.mean()[0] - 0.015) < 0.5)
self.assertTrue(np.abs(results.mean()[1] - 500) < 200)
self.assertTrue(np.abs(results.mean()[2] - 10) < 30)
# check quantiles object
quantiles = results.quantiles()
self.assertEqual(quantiles.shape[0], 5)
self.assertEqual(quantiles.shape[1], 3)
for i in range(5):
for j in range(3):
self.assertTrue(quantiles[i, j] > 0)
# Test with odd number of iterations
mcmc = pints.MCMCController(self.log_posterior,
1,
xs,
method=pints.HaarioBardenetACMC)
mcmc.set_max_iterations(99)
mcmc.set_initial_phase_iterations(40)
mcmc.set_log_to_screen(False)
chains = mcmc.run()
results = pints.MCMCSummary(chains)
def test_running(self):
# tests that object works as expected
results = pints.MCMCSummary(self.chains)
self.assertEqual(results.time(), None)
self.assertEqual(results.ess_per_second(), None)
self.assertTrue(len(results.ess()), 3)
self.assertTrue(len(results.mean()), 3)
self.assertTrue(len(results.rhat()), 3)
self.assertTrue(len(results.std()), 3)
# check positive quantities are so
for i in range(3):
self.assertTrue(results.ess()[i] > 0)
self.assertTrue(results.ess()[i] < 1000)
self.assertTrue(results.rhat()[i] > 0)
self.assertTrue(results.std()[i] > 0)
self.assertTrue(results.mean()[i] > 0)
# check means are vaguely near true values
self.assertTrue(np.abs(results.mean()[0] - 0.015) < 0.1)
self.assertTrue(np.abs(results.mean()[1] - 500) < 100)
self.assertTrue(np.abs(results.mean()[2] - 10) < 20)
# check quantiles object
quantiles = results.quantiles()
self.assertEqual(quantiles.shape[0], 5)
self.assertEqual(quantiles.shape[1], 3)
for i in range(5):
for j in range(3):
self.assertTrue(quantiles[i, j] > 0)
def plotting(old_model=False):
if old_model:
results_file = 'results2.pickle'
names = ['k0', 'E0', 'Cdl', 'Ru', 'alpha', 'omega', 'sigma']
else:
results_file = 'results.pickle'
names = ['k0', 'E0', 'a', 'Ru', 'Cdl', 'omega', 'sigma']
(xs, log_posterior, log_prior, chains, mcmc_method) = pickle.load(
open(results_file, 'rb'))
print(
'Found results using mcmc={} containing {} chains with {} samples'.format(
mcmc_method, len(chains), chains[0].shape[0]
)
)
print(chains.shape)
pints.plot.trace(chains)
plt.savefig('electrochem_pde_trace.pdf')
pints.plot.pairwise(chains[0, :, :])
plt.savefig('electrochem_pde_chains.pdf')
results = pints.MCMCSummary(chains, parameter_names=names)
print(results)
def test_ess_per_second(self):
# tests that ess per second is calculated when time is supplied
t = 10
results = pints.MCMCSummary(self.chains, t)
self.assertEqual(results.time(), t)
ess_per_second = results.ess_per_second()
ess = results.ess()
self.assertTrue(len(ess_per_second), 3)
for i in range(3):
self.assertEqual(ess_per_second[i], ess[i] / t)
def test_named_parameters(self):
# tests that parameter names are used when values supplied
parameters = ['rrrr', 'kkkk', 'ssss']
results = pints.MCMCSummary(self.chains, parameter_names=parameters)
text = str(results)
for p in parameters:
self.assertIn(p, text)
# with time supplied
results = pints.MCMCSummary(self.chains,
time=20,
parameter_names=parameters)
text = str(results)
for p in parameters:
self.assertIn(p, text)
# Number of parameter names must equal number of parameters
self.assertRaises(ValueError,
pints.MCMCSummary,
self.chains,
parameter_names=['a', 'b'])
def inference_problem_setup(self, times, num_iter, wd=1, wp=1):
"""
Runs the parameter inference routine for the PHE model.
Parameters
----------
times
(list) List of time points at which we have data for the
log-likelihood computation.
num_iter
Number of iterations the MCMC sampler algorithm is run for.
wd
Proportion of contribution of the deaths_data to the
log-likelihood.
wp
Proportion of contribution of the poritives_data to the
log-likelihood.
"""
# Starting points using optimisation object
x0 = [self.optimisation_problem_setup(times, wd, wp)[0].tolist()] * 3
# Create MCMC routine
mcmc = pints.MCMCController(self._log_posterior, 3, x0)
mcmc.set_max_iterations(num_iter)
mcmc.set_log_to_screen(True)
mcmc.set_parallel(True)
print('Running...')
chains = mcmc.run()
print('Done!')
param_names = ['initial_r']
for region in self._model.regions:
param_names.extend([
'beta_W{}_{}'.format(i + 1, region)
for i in range(len(np.arange(44, len(times), 7)))
])
param_names.extend(['sigma_b'])
# Check convergence and other properties of chains
results = pints.MCMCSummary(chains=chains,
time=mcmc.time(),
parameter_names=param_names)
print(results)
return chains