def predict_log_probs(self, test_data):
num_points = test_data["coordinates"].shape[0]
topic_log_prob_vector = np.zeros((self.num_topics, num_points))
# topic_prob_vector = np.ones((self.num_topics, num_points))
for z in range(self.num_topics):
try:
rv = stats.multivariate_normal(mean=self.topic_centers[z, :],
cov=self.topic_covar[z, :, :], allow_singular=True)
loc_log_prob = rv.logpdf(test_data["coordinates"]).reshape((num_points, 1)) # Nx1
# loc_prob = rv.pdf(test_data["coordinates"]).reshape((num_points, 1)) # Nx1
except:
print("Error while computing geo log probabilities for test, dumping data.", "\n",
self.topic_centers[z, :], "\n", self.topic_covar[z, :, :], file=sys.stderr)
traceback.print_stack(file=sys.stderr)
sys.exit(1)
feature_log_prob = np.zeros((num_points, 1))
# feature_prob = np.ones((num_points, 1))
for feature in self.beta_arrays.keys():
beta = self.beta_arrays[feature][z]
num_words = beta.shape[0]
feature_log_prob += test_data[feature] * np.log(beta.reshape((num_words, 1))) # (NxV * Vx1) = Nx1
# feature_prob *= np.prod(np.power(beta.reshape((num_words, 1)).T, test_data[feature].todense()), axis=1)
topic_log_prob_vector[z] = (loc_log_prob +
feature_log_prob +
np.tile(np.log(self.theta[0, z]), (num_points, 1))).flatten()
# topic_prob_vector[z] = np.multiply(np.multiply(loc_prob, feature_prob),
# np.tile(self.theta[0, z], (num_points, 1))).flatten()
# print("direct")
# print(np.sum(np.log(np.sum(topic_prob_vector, axis=0))))
return np.sum(utils.log_sum(topic_log_prob_vector, axis=0))
def compute_probabilities_from_mixture(model, data):
"""
Compute data probabilities, but by substituting Gaussian mixture of all topic distributions as geographical
distribution, so all points are drawn from the same distribution.
:param model:
:param coordinates:
:return:
"""
theta = model.theta
beta_arrays = model.beta_arrays
num_points = data["coordinates"].shape[0]
geo_log_prob = np.zeros((model.num_topics, num_points)) # kxN
feature_log_prob = np.zeros((model.num_topics, num_points)) # kxN
for z in range(model.num_topics):
# Compute feature probabilities
for feature in beta_arrays.keys():
beta = beta_arrays[feature] # kxV
feature_log_prob[z] += np.log(
beta[z]) * data[feature].T # kxV * NxV' = kxN
# Compute geographical probabilities
rv = multivariate_normal(mean=model.topic_centers[z, :],
cov=model.topic_covar[z, :, :],
allow_singular=True)
geo_log_prob[z] += rv.logpdf(data["coordinates"])
log_theta_for_z = np.log(theta[0, z])
geo_log_prob[z] += log_theta_for_z
feature_log_prob[z] += log_theta_for_z
# Log-sum-exp over topics, then sum over data points
final_geo_log_prob = log_sum(geo_log_prob, axis=0)
final_feature_log_prob = log_sum(feature_log_prob, axis=0)
return np.sum(final_geo_log_prob + final_feature_log_prob)
def compute_probabilities_from_mixture(model, data):
"""
Compute data probabilities, but by substituting Gaussian mixture of all topic distributions as geographical
distribution, so all points are drawn from the same distribution.
:param model:
:param coordinates:
:return:
"""
theta = model.theta
beta_arrays = model.beta_arrays
num_points = data["coordinates"].shape[0]
geo_log_prob = np.zeros((model.num_topics, num_points)) # kxN
feature_log_prob = np.zeros((model.num_topics, num_points)) # kxN
for z in range(model.num_topics):
# Compute feature probabilities
for feature in beta_arrays.keys():
beta = beta_arrays[feature] # kxV
feature_log_prob[z] += np.log(beta[z]) * data[feature].T # kxV * NxV' = kxN
# Compute geographical probabilities
rv = multivariate_normal(mean=model.topic_centers[z, :],
cov=model.topic_covar[z, :, :],
allow_singular=True)
geo_log_prob[z] += rv.logpdf(data["coordinates"])
log_theta_for_z = np.log(theta[0, z])
geo_log_prob[z] += log_theta_for_z
feature_log_prob[z] += log_theta_for_z
# Log-sum-exp over topics, then sum over data points
final_geo_log_prob = log_sum(geo_log_prob, axis=0)
final_feature_log_prob = log_sum(feature_log_prob, axis=0)
return np.sum(final_geo_log_prob + final_feature_log_prob)
def get_topic_unigram(m_array, h_array):
"""
m_array: 1 x V
h_array: k x V
beta_array: k x V
"""
beta_array = m_array + h_array
norm_sum = utils.log_sum(beta_array, axis=1)
try:
beta_array = np.exp(beta_array.T - norm_sum).T
except:
sys.stderr.write(str(beta_array))
sys.stderr.write("\n")
sys.stderr.write(str(norm_sum))
sys.stderr.write("\n")
return beta_array
def get_topic_unigram(m_array, h_array):
"""
m_array: 1 x V
h_array: k x V
beta_array: k x V
"""
beta_array = m_array + h_array
norm_sum = utils.log_sum(beta_array, axis=1)
try:
beta_array = np.exp(beta_array.T - norm_sum).T
except:
sys.stderr.write(str(beta_array))
sys.stderr.write("\n")
sys.stderr.write(str(norm_sum))
sys.stderr.write("\n")
return beta_array
def __update_phi(data, beta_arrays, theta, topic_centers, topic_covar):
"""
:param data: a dictionary containing coordinates and sparse N x V_F matrices for features
:param beta_arrays: F x k x V
:param theta: 1 x k
:param topic_centers: k x 2
:param topic_covar: k x 2 x 2
"""
k, _ = topic_centers.shape
N, _ = data["coordinates"].shape
G = np.zeros((k, N))
Z = np.zeros((k, N))
# Compute geographical probabilities
for z in range(k):
# setup distribution variable
rv = stats.multivariate_normal(mean=topic_centers[z, :],
cov=topic_covar[z, :, :],
allow_singular=True)
log_probabilities = rv.logpdf(data["coordinates"])
G[z, :] = log_probabilities
# TODO: @MM, I think we can move this out of the loop, no? There can be a minor performance increase. - Emre
Z[z, :] = np.log(theta[0, z])
# Compute new phi
# TODO: @MM, please check this. - Emre
F = np.zeros((k, N))
for feature in beta_arrays.keys():
# (k x V) x (N x V)' + k x N
F += np.log(beta_arrays[feature]) * data[feature].transpose()
F += G + Z
S = utils.log_sum(F, axis=0) # 1 x N
F = F - S
phi = np.exp(F) # k x N
return phi
def __update_phi(data, beta_arrays, theta, topic_centers, topic_covar):
"""
:param data: a dictionary containing coordinates and sparse N x V_F matrices for features
:param beta_arrays: F x k x V
:param theta: 1 x k
:param topic_centers: k x 2
:param topic_covar: k x 2 x 2
"""
k, _ = topic_centers.shape
N, _ = data["coordinates"].shape
G = np.zeros((k, N))
Z = np.zeros((k, N))
# Compute geographical probabilities
for z in range(k):
# setup distribution variable
rv = stats.multivariate_normal(mean=topic_centers[z, :],
cov=topic_covar[z, :, :], allow_singular=True)
log_probabilities = rv.logpdf(data["coordinates"])
G[z, :] = log_probabilities
# TODO: @MM, I think we can move this out of the loop, no? There can be a minor performance increase. - Emre
Z[z, :] = np.log(theta[0, z])
# Compute new phi
# TODO: @MM, please check this. - Emre
F = np.zeros((k, N))
for feature in beta_arrays.keys():
# (k x V) x (N x V)' + k x N
F += np.log(beta_arrays[feature]) * data[feature].transpose()
F += G + Z
S = utils.log_sum(F, axis=0) # 1 x N
F = F - S
phi = np.exp(F) # k x N
return phi
def predict_log_probs(self, test_data):
num_points = test_data["coordinates"].shape[0]
topic_log_prob_vector = np.zeros((self.num_topics, num_points))
# topic_prob_vector = np.ones((self.num_topics, num_points))
for z in range(self.num_topics):
try:
rv = stats.multivariate_normal(mean=self.topic_centers[z, :],
cov=self.topic_covar[z, :, :],
allow_singular=True)
loc_log_prob = rv.logpdf(test_data["coordinates"]).reshape(
(num_points, 1)) # Nx1
# loc_prob = rv.pdf(test_data["coordinates"]).reshape((num_points, 1)) # Nx1
except:
print(
"Error while computing geo log probabilities for test, dumping data.",
"\n",
self.topic_centers[z, :],
"\n",
self.topic_covar[z, :, :],
file=sys.stderr)
traceback.print_stack(file=sys.stderr)
sys.exit(1)
feature_log_prob = np.zeros((num_points, 1))
# feature_prob = np.ones((num_points, 1))
for feature in self.beta_arrays.keys():
beta = self.beta_arrays[feature][z]
num_words = beta.shape[0]
feature_log_prob += test_data[feature] * np.log(
beta.reshape((num_words, 1))) # (NxV * Vx1) = Nx1
# feature_prob *= np.prod(np.power(beta.reshape((num_words, 1)).T, test_data[feature].todense()), axis=1)
topic_log_prob_vector[z] = (loc_log_prob + feature_log_prob +
np.tile(np.log(self.theta[0, z]),
(num_points, 1))).flatten()
# topic_prob_vector[z] = np.multiply(np.multiply(loc_prob, feature_prob),
# np.tile(self.theta[0, z], (num_points, 1))).flatten()
# print("direct")
# print(np.sum(np.log(np.sum(topic_prob_vector, axis=0))))
return np.sum(utils.log_sum(topic_log_prob_vector, axis=0))
def compute_log_beta(h_matrix):
beta_array = m_array + h_matrix
norm_sum = utils.log_sum(beta_array, axis=1)
return beta_array - norm_sum[:, np.newaxis]
def compute_log_beta(h_matrix):
beta_array = m_array + h_matrix
norm_sum = utils.log_sum(beta_array, axis=1)
return beta_array - norm_sum[:, np.newaxis]
