def create_error_models(self):
"""
In order to calculate the total error of the individual GPs an error
model is created for each GP. The inputs to this are the error between
the individual GP predictions and the truth value at all available truth
data points. The prior_error value is subtracted from the difference to
ensure that the points are centred around 0.
"""
gp_error_models = []
for i in range(self.num_models):
gpmodel_mean, gpmodel_var = self.gp_models[i].predict_var(
self.x_true)
gpmodel_mean = gpmodel_mean * self.model_std[i] + self.model_mean[i]
error = np.abs(self.y_true - gpmodel_mean)
self.err_mean.append(np.mean(error))
self.err_std.append(np.std(error))
if self.err_std[i] == 0:
self.err_std[i] = 1
new_model = gp_model(self.x_true,
(error - self.err_mean[i]) / self.err_std[i],
self.err_model_hp["l"][i],
self.err_model_hp["sf"][i],
self.err_model_hp["sn"][i], self.num_dim,
self.kernel)
gp_error_models.append(new_model)
return gp_error_models
def setup(self):
data = pd.read_excel('data/rve_data.xlsx')
data.iloc[:, 0] = (data.iloc[:, 0] - 650) / 200
data.iloc[:, 2] = data.iloc[:, 2] / 3
data.iloc[:, 3] = data.iloc[:, 3] / 2
self.mean = np.mean(data.iloc[:, 5])
self.std = np.std(data.iloc[:, 5])
data.iloc[:, 5] = (data.iloc[:, 5] - self.mean) / self.std
self.gp = gp_model(
data.iloc[:, 0:4], data.iloc[:, 5],
np.array([0.12274117, 0.08612411, 0.65729583, 0.23342798]),
0.16578065, 0.1, 4, 'SE')
def create_gps(self):
"""
GPs need to be created for each of the lower dimension information sources
as used in the reification method. These can be multi-dimensional models.
As a result, the x_train and y_train data needs to be added to the class
as a list of numpy arrays.
"""
gp_models = []
for i in range(self.num_models):
new_model = gp_model(
self.x_train[i],
(self.y_train[i] - self.model_mean[i]) / self.model_std[i],
self.model_hp["l"][i], self.model_hp["sf"][i],
self.model_hp["sn"][i], self.num_dim, self.kernel)
gp_models.append(new_model)
return gp_models
def setup(self):
data = pd.read_excel("data/tc_data.xlsx")
x_train = np.array(data.iloc[:, 1:5])
x_train[:, 0] = (x_train[:, 0] - 650) / 200
x_train[:, 1] = 100 * x_train[:, 1]
x_train[:, 2] = 100 * x_train[:, 2] / 2
x_train[:, 3] = 100 * x_train[:, 3] / 3
l_param_list = [[
np.sqrt(0.28368),
np.sqrt(0.44255),
np.sqrt(0.19912),
np.sqrt(5.48465)
],
[
np.sqrt(2.86816),
np.sqrt(2.57049),
np.sqrt(0.64243),
np.sqrt(94.43864)
],
[
np.sqrt(6.41552),
np.sqrt(12.16391),
np.sqrt(7.16226),
np.sqrt(27.87327)
],
[
np.sqrt(34.57352),
np.sqrt(12.83549),
np.sqrt(4.73291),
np.sqrt(275.83489)
]]
sf_list = [4 * 1.57933, 4 * 5.5972, 4 * 78.32377, 4 * 14.79803]
for k in range(4):
self.y_mean.append(np.mean(np.array(data.iloc[:, k + 5])))
self.y_max.append(np.max(np.array(data.iloc[:, k + 5])))
self.y_std.append(np.std(np.array(data.iloc[:, k + 5])))
y_train = (np.array(data.iloc[:, k + 5]) -
self.y_mean[k]) / self.y_std[k]
l_param = l_param_list[k]
sf = sf_list[k]
self.tc_gp.append(
gp_model(x_train, y_train, np.array(l_param), sf, 0.05, 4,
'M52'))
def create_fused_GP(self, x_test, l_param, sigma_f, sigma_n, kernel):
model_mean = []
model_var = []
for i in range(len(self.gp_models)):
m_mean, m_var = self.gp_models[i].predict_var(x_test)
m_mean = m_mean * self.model_std[i] + self.model_mean[i]
m_var = m_var * (self.model_std[i]**2)
model_mean.append(m_mean)
err_mean, err_var = self.gp_err_models[i].predict_var(x_test)
err_mean = err_mean * self.err_std[i] + self.err_mean[i]
model_var.append((err_mean)**2 + m_var)
fused_mean, fused_var = reification(model_mean, model_var)
self.fused_y_mean = np.mean(fused_mean[0:400:12])
self.fused_y_std = np.std(fused_mean[0:400:12])
if self.fused_y_std == 0:
self.fused_y_std = 1
fused_mean = (fused_mean - self.fused_y_mean) / self.fused_y_std
self.fused_GP = gp_model(x_test[0:400:12], fused_mean[0:400:12],
l_param, sigma_f,
abs(fused_var[0:400:12])**(0.5), self.num_dim,
kernel)
return self.fused_GP
def test_fit(self):
data = pd.read_excel('data/rve_data.xlsx')
data_1 = deepcopy(data)
data.iloc[:, 0] = (data.iloc[:, 0] - 650) / 200
data.iloc[:, 2] = data.iloc[:, 2] / 3
data.iloc[:, 3] = data.iloc[:, 3] / 2
test_data = [[], [], [], [], [], [], [], [], [], []]
train_data = [[], [], [], [], [], [], [], [], [], []]
count = 1
while count <= 1500:
new_num = np.random.randint(0, 1522)
if (new_num not in test_data[0]) and (len(test_data[0]) < 150):
test_data[0].append(new_num)
count += 1
elif (new_num not in test_data[1]) and (len(test_data[1]) < 150):
test_data[1].append(new_num)
count += 1
elif (new_num not in test_data[2]) and (len(test_data[2]) < 150):
test_data[2].append(new_num)
count += 1
elif (new_num not in test_data[3]) and (len(test_data[3]) < 150):
test_data[3].append(new_num)
count += 1
elif (new_num not in test_data[4]) and (len(test_data[4]) < 150):
test_data[4].append(new_num)
count += 1
elif (new_num not in test_data[5]) and (len(test_data[5]) < 150):
test_data[5].append(new_num)
count += 1
elif (new_num not in test_data[6]) and (len(test_data[6]) < 150):
test_data[6].append(new_num)
count += 1
elif (new_num not in test_data[7]) and (len(test_data[7]) < 150):
test_data[7].append(new_num)
count += 1
elif (new_num not in test_data[8]) and (len(test_data[8]) < 150):
test_data[8].append(new_num)
count += 1
elif (new_num not in test_data[9]) and (len(test_data[9]) < 150):
test_data[9].append(new_num)
count += 1
for i in range(1522):
if i not in test_data[0]:
train_data[0].append(i)
if i not in test_data[1]:
train_data[1].append(i)
if i not in test_data[2]:
train_data[2].append(i)
if i not in test_data[3]:
train_data[3].append(i)
if i not in test_data[4]:
train_data[4].append(i)
if i not in test_data[5]:
train_data[5].append(i)
if i not in test_data[6]:
train_data[6].append(i)
if i not in test_data[7]:
train_data[7].append(i)
if i not in test_data[8]:
train_data[8].append(i)
if i not in test_data[9]:
train_data[9].append(i)
test_data = np.array(test_data)
train_data = np.array(train_data)
self.mean = np.mean(data.iloc[:, 5])
self.std = np.std(data.iloc[:, 5])
data.iloc[:, 5] = (data.iloc[:, 5] - self.mean) / self.std
results = np.zeros((1500, 2))
for i in range(10):
self.gp = gp_model(
data.iloc[train_data[i],
[0, 1, 2, 3]], data.iloc[train_data[i], 5],
[0.12274117, 0.08612411, 0.65729583, 0.23342798], 0.16578065,
0.1, 4, 'SE')
out = self.predict(
np.array(data_1.iloc[test_data[i], [0, 1, 2, 3]]))
results[i * 150:(i + 1) * 150, 0] = out
results[i * 150:(i + 1) * 150,
1] = data.iloc[test_data[i], 5] * self.std + self.mean
self.setup()
results_all = np.zeros((1522, 2))
results_all[:, 1] = data.iloc[:, 5] * self.std + self.mean
results_all[:, 0] = self.predict(np.array(data_1.iloc[:,
[0, 1, 2, 3]]))
return results, results_all