while iter_ < int(np.floor(x_valid.shape[0] / batch_size)):
batch_x = x_valid[iter_*batch_size: (iter_+1)*batch_size, :].T.reshape(1, sequence_len, batch_size)
batch_y = y_valid[np.newaxis, iter_*batch_size: (iter_+1)*batch_size]
errors_valid[iter_] = sess.run(prediction-batch_y, feed_dict={input_: batch_x,
target: batch_y})
iter_ += 1
# estimate mean and deviation of the errors' vector
# since we have a batch size that may be different from 1 and we consider
# the error of each last batch_y, we need to cut off the zero values
errors_valid = errors_valid[:iter_].flatten()
gaussian_mixture = mixture.GaussianMixture(n_components=n_mixtures)
gm = gaussian_mixture.fit(errors_valid.reshape(-1, 1))
means_valid = gm.means_[:,0]
stds_valid = gm.covariances_[:,0,0]**.5 # square it since it is the cov matrix
weights_valid = gm.weights_
# test
predictions = np.zeros(shape=(int(np.floor(x_test.shape[0] / batch_size)), batch_size))
y_test = y_test[:x_test.shape[0]]
# anomalies' statistics
gaussian_error_statistics = np.zeros(shape=(len(predictions), batch_size))
errors_test = np.zeros(shape=(len(predictions), batch_size))
threshold = [scistats.norm.pdf(mean-sigma_threshold*std, mean, std) for (mean, std) in zip(means_valid, stds_valid)]
anomalies = np.array([np.array([False for _ in range(batch_size)]) for _ in range(len(y_test))])
def make_graphical_experiments(algorithms=[],
n_samples=1500,
run_scikit_algorithms=True,
SAVE_PLOTS=False,
results_file_name=''):
noisy_circles = make_circles(n_samples=n_samples, factor=.5, noise=.05)
noisy_moons = make_moons(n_samples=n_samples, noise=.05)
noisy_square = np.random.rand(n_samples, 2), None
blobs = make_blobs(n_samples=n_samples, random_state=8)
random_state = 170
X, y = make_blobs(n_samples=n_samples, random_state=random_state)
transformation = [[0.6, -0.6], [-0.4, 0.8]]
X_aniso = np.dot(X, transformation)
anisotropic_blobs = (X_aniso, y)
varied_blobs = make_blobs(n_samples=n_samples,
cluster_std=[1.0, 2.5, 0.5],
random_state=random_state)
if run_scikit_algorithms:
scikit_algorithms = range(9)
else:
scikit_algorithms = []
plt.figure(figsize=((len(scikit_algorithms) + len(algorithms)) * 2 + 3,
12.5))
plt.subplots_adjust(left=.02,
right=.98,
bottom=.001,
top=.96,
wspace=.05,
hspace=.01)
plot_num = 1
default_base = {
'quantile': .3,
'eps': .3,
'damping': .9,
'preference': -200,
'n_neighbors': 50,
'n_clusters': 3
}
datasets = [(noisy_circles, {
'damping': .77,
'preference': -240,
'quantile': .2,
'n_clusters': 2
}), (noisy_moons, {
'damping': .75,
'preference': -220,
'n_clusters': 2
}), (varied_blobs, {
'eps': .18,
'n_neighbors': 2
}), (anisotropic_blobs, {
'eps': .15,
'n_neighbors': 2
}), (blobs, {}), (noisy_square, {})]
for i_dataset, (dataset, algo_params) in enumerate(datasets):
params = default_base.copy()
params.update(algo_params)
X, y = dataset
X = StandardScaler().fit_transform(X)
# estimate bandwidth for mean shift
bandwidth = cluster.estimate_bandwidth(X, quantile=params['quantile'])
# connectivity matrix for structured Ward
G, pos, labels = generate_dataset_from_euclidean_points(
X,
similarity_measure=lambda p, q: np.exp(-(np.linalg.norm(p - q) / 1.
)**2),
threshold=.8)
G, pos, labels = connect_dataset_connected_components(G, pos, labels)
connectivity = nx.to_scipy_sparse_matrix(G)
print("Dataset: ", i_dataset)
if run_scikit_algorithms:
ms = cluster.MeanShift(bandwidth=bandwidth, bin_seeding=True)
two_means = cluster.MiniBatchKMeans(
n_clusters=params['n_clusters'])
ward = cluster.AgglomerativeClustering(
n_clusters=params['n_clusters'],
linkage='ward',
connectivity=connectivity)
spectral = cluster.SpectralClustering(
n_clusters=params['n_clusters'],
eigen_solver='arpack',
affinity="nearest_neighbors")
dbscan = cluster.DBSCAN(eps=params['eps'])
affinity_propagation = cluster.AffinityPropagation(
damping=params['damping'], preference=params['preference'])
average_linkage = cluster.AgglomerativeClustering(
linkage="average",
affinity="cityblock",
n_clusters=params['n_clusters'],
connectivity=connectivity)
birch = cluster.Birch(n_clusters=params['n_clusters'])
gmm = mixture.GaussianMixture(n_components=params['n_clusters'],
covariance_type='full')
scikit_algorithms = [('MiniBatchKMeans', two_means),
('AffinityProp', affinity_propagation),
('MeanShift', ms),
('SpectralClustering', spectral),
('Ward', ward),
('AggloClustering', average_linkage),
('DBSCAN', dbscan), ('Birch', birch),
('GaussianMixture', gmm)]
for name, algorithm in scikit_algorithms:
t0 = time()
with warnings.catch_warnings():
warnings.filterwarnings(
"ignore",
message="the number of connected components of the " +
"connectivity matrix is [0-9]{1,2}" +
" > 1. Completing it to avoid stopping the tree early.",
category=UserWarning)
warnings.filterwarnings(
"ignore",
message=
"Graph is not fully connected, spectral embedding" +
" may not work as expected.",
category=UserWarning)
algorithm.fit(X)
t1 = time()
if hasattr(algorithm, 'labels_'):
y_pred = algorithm.labels_.astype(np.int)
else:
y_pred = algorithm.predict(X)
plt.subplot(len(datasets),
len(scikit_algorithms) + len(algorithms), plot_num)
if i_dataset == 0:
plt.title(name, size=18)
colors = np.array(
list(
islice(
cycle([
'#377eb8', '#ff7f00', '#4daf4a', '#f781bf',
'#a65628', '#984ea3', '#999999', '#e41a1c',
'#dede00'
]), int(max(y_pred) + 1))))
plt.scatter(X[:, 0], X[:, 1], s=10, color=colors[y_pred])
plt.xlim(-2.5, 2.5)
plt.ylim(-2.5, 2.5)
plt.xticks(())
plt.yticks(())
# plt.text(.99, .01, ('%.2fs' % (t1 - t0)).lstrip('0'),
# transform=plt.gca().transAxes, size=15,
# horizontalalignment='right')
plot_num += 1
for name, algorithm in algorithms:
t0 = time()
clusters = algorithm(G)
t1 = time()
y_pred = clusters_list2clusters_dict(clusters).values()
plt.subplot(len(datasets),
len(scikit_algorithms) + len(algorithms), plot_num)
if i_dataset == 0:
plt.title(name, size=18)
colors = np.array(
list(
islice(
cycle([
'#377eb8', '#ff7f00', '#4daf4a', '#f781bf',
'#a65628', '#984ea3', '#999999', '#e41a1c',
'#dede00'
]), int(max(y_pred) + 1))))
plt.scatter(X[:, 0], X[:, 1], s=10, color=colors[y_pred])
plt.xlim(-2.5, 2.5)
plt.ylim(-2.5, 2.5)
plt.xticks(())
plt.yticks(())
# plt.text(.99, .01, ('%.2fs' % (t1 - t0)).lstrip('0'),
# transform=plt.gca().transAxes, size=15,
# horizontalalignment='right')
plot_num += 1
if SAVE_PLOTS:
plt.savefig(results_file_name + ".pdf", bbox_inches='tight')
plt.savefig(results_file_name + ".png", bbox_inches='tight')
else:
plt.show()
M=64,
num_gpus=arguments.num_gpus,
arguments=arguments)
if arguments.cuda:
mdl.cuda()
mdl.load_state_dict(torch.load(path))
# train the base distribution
if 0 & os.path.exists(path2 + 'Kmog{}.gmm'.format(Kcomps)):
GMM = pickle.load(
open(path2 + 'Kmog{}.gmm'.format(Kcomps), 'rb'))
else:
if use_gmms[0]:
GMM = mix.GaussianMixture(n_components=Kcomps,
verbose=1,
n_init=3,
max_iter=200,
covariance_type='diag')
GMM.fit(all_hhats.data.cpu().numpy())
pickle.dump(
GMM, open(path2 + 'Kmog{}.gmm'.format(Kcomps), 'wb'))
mdl.initialize_GMMparams(GMM=GMM)
if use_gmms[1]:
BGMM = mix.GaussianMixture(n_components=Kcomps,
verbose=1,
n_init=3,
max_iter=200,
covariance_type='full')
BGMM.fit(all_hhats.data.cpu().numpy())
pickle.dump(
y.append(int(l.split(",")[-2]))
X = np.array(X, dtype=np.float32)
X = np.array(X, dtype=np.float32)
scaler = StandardScaler()
scaler.fit(X)
X = scaler.transform(X)
pca = PCA(n_components=2)
pca.fit(X)
dr_X = pca.transform(X)
#plot_bic(X)
gmm = mixture.GaussianMixture(n_components=2, covariance_type='tied')
gmm.fit(dr_X)
newX = []
for pt in dr_X:
newX.append(gmm.predict(pt.reshape(1, -1))[0])
newX = np.array(newX)
newX = to_categorical(newX)
y = to_categorical(y)
INIT_LR = 5E-4
EPOCHS = 500
BS = 50
def init_std(self,
x,
gmm_mu=None,
gmm_cv=None,
weights=None,
inv_maxstd=1e-1,
beta_constant=0.5,
component_overwrite=None,
beta_override=None,
n_samples=2,
z_override=None,
sigma=None):
if component_overwrite is not None:
self.num_components = component_overwrite
if z_override is None:
with torch.no_grad():
mu, lv = torch.chunk(self.encoder(x.to(self.device)),
chunks=2,
dim=-1)
z = td.Normal(loc=mu, scale=lv.mul(0.5).exp() + 1e-10).sample(
[n_samples])
z = z.reshape(int(x.shape[0] * n_samples), z.shape[-1])
else:
z = z_override
N, D = x.shape
d = z.shape[1]
inv_maxstd = inv_maxstd # 1.0 / x.std(dim=0).mean() # x.std(dim=0).mean() #D*x.var(dim=0).mean()
if gmm_mu is None and gmm_cv is None and weights is None:
from sklearn import mixture
clf = mixture.GaussianMixture(n_components=self.num_components,
covariance_type='spherical')
clf.fit(z.cpu().numpy())
self.gmm_means = clf.means_
self.gmm_covariances = clf.covariances_
self.clf_weights = clf.weights_
else:
print('loading weights...')
self.gmm_means = gmm_mu
self.gmm_covariances = gmm_cv
self.clf_weights = weights
if beta_override is None:
beta = beta_constant.cpu() / torch.tensor(
self.gmm_covariances, dtype=torch.float, requires_grad=False)
else:
beta = beta_override
self.beta = beta.to(self.device)
self.dec_std = nnj.Sequential(
nnj.RBF(d,
self.num_components,
points=torch.tensor(self.gmm_means,
dtype=torch.float,
requires_grad=False),
beta=self.beta), # d --> num_components
nnj.PosLinear(self.num_components, 1,
bias=False), # num_components --> 1
nnj.Reciprocal(inv_maxstd), # 1 --> 1
nnj.PosLinear(1, D)).to(self.device) # 1 --> D
if sigma is not None:
self.dec_std[0] = nnj.RBF_variant(
d,
self.gmm_means.shape[0],
points=torch.tensor(self.gmm_means,
dtype=torch.float,
requires_grad=False),
beta=self.beta.requires_grad_(False),
boxwidth=sigma).to(self.device)
with torch.no_grad():
self.dec_std[1].weight[:] = (
(torch.tensor(self.clf_weights, dtype=torch.float).exp() -
1.0).log()).to(self.device)
def gmm(k):
model = mixture.GaussianMixture(n_components=k,
covariance_type='full',
random_state=100)
return model
ward = cluster.AgglomerativeClustering(n_clusters=params['n_clusters'],
linkage='ward',
connectivity=connectivity)
dbscan = cluster.DBSCAN(eps=params['eps'])
optics = cluster.OPTICS(min_samples=params['min_samples'],
xi=params['xi'],
min_cluster_size=params['min_cluster_size'])
affinity_propagation = cluster.AffinityPropagation(
damping=params['damping'], preference=params['preference'])
average_linkage = cluster.AgglomerativeClustering(
linkage="average",
affinity="cityblock",
n_clusters=params['n_clusters'],
connectivity=connectivity)
birch = cluster.Birch(n_clusters=params['n_clusters'])
gmm = mixture.GaussianMixture(n_components=params['n_clusters'],
covariance_type='full')
clustering_algorithms = (('My_KMeans', my_kmeans), ('My_GMM', my_gmm),
('My_SpectralClustering',
my_spectral), ('MiniBatchKMeans', two_means),
('AffinityPropagation', affinity_propagation),
('MeanShift', ms), ('Ward', ward),
('AgglomerativeClustering',
average_linkage), ('DBSCAN', dbscan), ('OPTICS',
optics),
('Birch', birch), ('GaussianMixture', gmm))
# 此处是内层循环，遍历每种算法
for name, algorithm in clustering_algorithms:
t0 = time.time()
def mixture_gaussian(param, n_samples, components=0, name=None, analyze=False):
if path.exists(f'{base_dir}/gm_{name}_samples.pkl'):
best_gmm = load_mixture_gaussian(name)
if not analyze and global_data.seed == 0:
print(f'Load samples from file {name}')
pickle_in = open(f'{base_dir}/gm_{name}_samples.pkl', "rb")
dict = pickle.load(pickle_in)
samples = dict['samples']
if samples.shape[0] == n_samples:
return samples
else:
name = f'{name}_{n_samples}'
if path.exists(f'{base_dir}/gm_{name}_samples.pkl'):
print(f'Load samples from file {name}')
pickle_in = open(f'{base_dir}/gm_{name}_samples.pkl', "rb")
dict = pickle.load(pickle_in)
return dict['samples']
else:
print('Load distribution')
best_gmm = load_mixture_gaussian(name)
else:
bic = []
lowest_bic = np.infty
max_components = param.shape[1] if param.shape[1] < 15 else 15
if components != 0:
gmm = mixture.GaussianMixture(n_components=components,
covariance_type='full',
max_iter=5000,
tol=1e-15,
n_init=20)
gmm.fit(param)
print(
f'Lowest bic with number of components {components}: {gmm.bic(param)}'
)
best_gmm = gmm
else:
for n_components in range(1, max_components):
# Fit a Gaussian mixture with EM
gmm = mixture.GaussianMixture(n_components=n_components,
covariance_type='full',
max_iter=5000,
tol=1e-15,
n_init=20)
gmm.fit(param)
bic.append(gmm.bic(param))
if bic[-1] < lowest_bic:
components = n_components
lowest_bic = bic[-1]
print(
f'Lowest bic with number of components {n_components}: {lowest_bic}'
)
best_gmm = gmm
samples = best_gmm.sample(n_samples)[0]
if name is not None and not analyze and global_data.seed == 0:
print(f'Save samples and mixture gaussian in file {name}')
dict = {'samples': samples}
pickle_out = open(f'{base_dir}/gm_{name}_samples.pkl', "wb")
pickle.dump(dict, pickle_out)
dict = {
'comp': components,
'weights': best_gmm.weights_,
'means': best_gmm.means_,
'cov': best_gmm.covariances_,
'precision': best_gmm.precisions_cholesky_
}
pickle_out = open(f'{base_dir}/gm_{name}_dist.pkl', "wb")
pickle.dump(dict, pickle_out)
if analyze:
centers = best_gmm.means_
if centers.shape[-1] == 9:
centers = centers.reshape(centers.shape[0], 3, 3)
centers = centers.reshape(1, centers.shape[0], 3, 3)
print(best_gmm.weights_)
# plot_weights(centers, name)
# mixture_analysis(best_gmm.weights_, best_gmm.means_, best_gmm.covariances_, name)
return best_gmm
# return samples
return samples
# np.savetxt("Data_train_rand_seed="+str(0)+".csv", complete_D_train,delimiter=",")
##Stack the test
complete_D_test = np.zeros([len(test_idx), num_stacked * n])
len_test = len(test_idx)
for i in range(len(sorted_test_idx)):
idx = sorted_test_idx[i]
idx_left = idx - 1
while idx_left not in sorted_training_idx:
idx_left -= 1
point_tr = sorted_training_idx.index(idx_left)
complete_D_test[i] = complete_D_train[point_tr]
complete_D_test[i][0:n] = Data[idx][0:n]
# np.savetxt("Data_test_rand_seed="+str(0)+".csv", complete_D_test,delimiter=",")
#####INITIALIZATION!!!
gmm = mixture.GaussianMixture(n_components=num_clusters,
covariance_type="full")
gmm.fit(complete_D_train)
clustered_points = gmm.predict(complete_D_train)
clustered_points_test = gmm.predict(complete_D_test)
gmm_clustered_pts_test = gmm.predict(complete_D_test)
gmm_clustered_pts = clustered_points + 0
gmm_covariances = gmm.covariances_
gmm_means = gmm.means_
##USE K-means
kmeans = KMeans(n_clusters=num_clusters,
random_state=0).fit(complete_D_train)
clustered_points_kmeans = kmeans.labels_
clustered_points_test_kmeans = kmeans.predict(complete_D_test)
def fit(self, input_file):
"""
Main method for TICC solver.
Parameters:
- input_file: location of the data file
"""
assert self.maxIters > 0 # must have at least one iteration
self.log_parameters()
# Get data into proper format
times_series_arr, time_series_rows_size, time_series_col_size = self.load_data(
input_file)
############
# The basic folder to be created
str_NULL = self.prepare_out_directory()
# Train test split
training_indices = getTrainTestSplit(
time_series_rows_size, self.num_blocks,
self.window_size) # indices of the training samples
num_train_points = len(training_indices)
# Stack the training data
complete_D_train = self.stack_training_data(times_series_arr,
time_series_col_size,
num_train_points,
training_indices)
print("here")
# Initialization
# Gaussian Mixture
gmm = mixture.GaussianMixture(n_components=self.number_of_clusters,
covariance_type="full")
print("here maybe")
gmm.fit(complete_D_train)
print("here past gmmfit")
clustered_points = gmm.predict(complete_D_train)
gmm_clustered_pts = clustered_points + 0
# K-means
print("here at kmeans")
kmeans = KMeans(n_clusters=self.number_of_clusters,
random_state=0).fit(complete_D_train)
clustered_points_kmeans = kmeans.labels_ # todo, is there a difference between these two?
kmeans_clustered_pts = kmeans.labels_
print("here again")
train_cluster_inverse = {}
log_det_values = {} # log dets of the thetas
computed_covariance = {}
cluster_mean_info = {}
cluster_mean_stacked_info = {}
old_clustered_points = None # points from last iteration
empirical_covariances = {}
# PERFORM TRAINING ITERATIONS
pool = Pool(processes=self.num_proc) # multi-threading
for iters in range(self.maxIters):
print("\n\n\nITERATION ###", iters)
# Get the train and test points
train_clusters_arr = collections.defaultdict(
list) # {cluster: [point indices]}
for point, cluster_num in enumerate(clustered_points):
train_clusters_arr[cluster_num].append(point)
len_train_clusters = {
k: len(train_clusters_arr[k])
for k in range(self.number_of_clusters)
}
# train_clusters holds the indices in complete_D_train
# for each of the clusters
opt_res = self.train_clusters(
cluster_mean_info, cluster_mean_stacked_info, complete_D_train,
empirical_covariances, len_train_clusters,
time_series_col_size, pool, train_clusters_arr)
self.optimize_clusters(computed_covariance, len_train_clusters,
log_det_values, opt_res,
train_cluster_inverse)
# update old computed covariance
old_computed_covariance = computed_covariance
print("UPDATED THE OLD COVARIANCE")
self.trained_model = {
'cluster_mean_info': cluster_mean_info,
'computed_covariance': computed_covariance,
'cluster_mean_stacked_info': cluster_mean_stacked_info,
'complete_D_train': complete_D_train,
'time_series_col_size': time_series_col_size
}
clustered_points = self.predict_clusters()
# recalculate lengths
new_train_clusters = collections.defaultdict(
list) # {cluster: [point indices]}
for point, cluster in enumerate(clustered_points):
new_train_clusters[cluster].append(point)
len_new_train_clusters = {
k: len(new_train_clusters[k])
for k in range(self.number_of_clusters)
}
before_empty_cluster_assign = clustered_points.copy()
if iters != 0:
cluster_norms = [(np.linalg.norm(
old_computed_covariance[self.number_of_clusters, i]), i)
for i in range(self.number_of_clusters)]
norms_sorted = sorted(cluster_norms, reverse=True)
# clusters that are not 0 as sorted by norm
valid_clusters = [
cp[1] for cp in norms_sorted
if len_new_train_clusters[cp[1]] != 0
]
# Add a point to the empty clusters
# assuming more non empty clusters than empty ones
counter = 0
for cluster_num in range(self.number_of_clusters):
if len_new_train_clusters[cluster_num] == 0:
cluster_selected = valid_clusters[
counter] # a cluster that is not len 0
counter = (counter + 1) % len(valid_clusters)
print("cluster that is zero is:", cluster_num,
"selected cluster instead is:", cluster_selected)
start_point = np.random.choice(
new_train_clusters[cluster_selected]
) # random point number from that cluster
for i in range(0, self.cluster_reassignment):
# put cluster_reassignment points from point_num in this cluster
point_to_move = start_point + i
if point_to_move >= len(clustered_points):
break
clustered_points[point_to_move] = cluster_num
computed_covariance[
self.number_of_clusters,
cluster_num] = old_computed_covariance[
self.number_of_clusters, cluster_selected]
cluster_mean_stacked_info[
self.number_of_clusters,
cluster_num] = complete_D_train[
point_to_move, :]
cluster_mean_info[self.number_of_clusters, cluster_num] \
= complete_D_train[point_to_move, :][
(self.window_size - 1) * time_series_col_size:self.window_size * time_series_col_size]
for cluster_num in range(self.number_of_clusters):
print("length of cluster #", cluster_num, "-------->",
sum([x == cluster_num for x in clustered_points]))
self.write_plot(clustered_points, str_NULL, training_indices)
# TEST SETS STUFF
# LLE + swtiching_penalty
# Segment length
# Create the F1 score from the graphs from k-means and GMM
# Get the train and test points
train_confusion_matrix_EM = compute_confusion_matrix(
self.number_of_clusters, clustered_points, training_indices)
train_confusion_matrix_GMM = compute_confusion_matrix(
self.number_of_clusters, gmm_clustered_pts, training_indices)
train_confusion_matrix_kmeans = compute_confusion_matrix(
self.number_of_clusters, kmeans_clustered_pts,
training_indices)
###compute the matchings
matching_EM, matching_GMM, matching_Kmeans = self.compute_matches(
train_confusion_matrix_EM, train_confusion_matrix_GMM,
train_confusion_matrix_kmeans)
print("\n\n\n")
if np.array_equal(old_clustered_points, clustered_points):
print("\n\n\n\nCONVERGED!!! BREAKING EARLY!!!")
break
old_clustered_points = before_empty_cluster_assign
# end of training
if pool is not None:
pool.close()
pool.join()
train_confusion_matrix_EM = compute_confusion_matrix(
self.number_of_clusters, clustered_points, training_indices)
train_confusion_matrix_GMM = compute_confusion_matrix(
self.number_of_clusters, gmm_clustered_pts, training_indices)
train_confusion_matrix_kmeans = compute_confusion_matrix(
self.number_of_clusters, clustered_points_kmeans, training_indices)
self.compute_f_score(matching_EM, matching_GMM, matching_Kmeans,
train_confusion_matrix_EM,
train_confusion_matrix_GMM,
train_confusion_matrix_kmeans)
if self.compute_BIC:
bic = computeBIC(self.number_of_clusters, time_series_rows_size,
clustered_points, train_cluster_inverse,
empirical_covariances)
print("this is the val,", bic)
if iters > 998:
bic = 999999999
return clustered_points, train_cluster_inverse, bic
return clustered_points, train_cluster_inverse, bic
return clustered_points, train_cluster_inverse
def __init__(self,
data,
n_labels,
beta_init=1,
stencil=None,
normalize=True):
"""
Args:
data (:obj:`np.ndarray`): Multidimensional data array containing all observations (features) in the
following shape:
1D = (Y, F)
2D = (Y, X, F)
3D = (Y, X, Z, F)
n_labels (int): Number of labels representing the number of clusters to be segmented.
beta_init (float): Initial penalty value for Gibbs energy calculation.
stencil (int): Number specifying the stencil of the neighborhood system used in the Gibbs energy
calculation.
"""
# TODO: [DOCS] Main object description
# store initial data
self.data = data
# get shape for physical and feature dimensions
self.shape = np.shape(data)
self.phys_shp = np.array(self.shape[:-1])
# get number of features
self.n_feat = self.shape[-1]
# GRAPH COLORING
self.stencil = stencil
self.colors = pseudocolor(self.shape, self.stencil)
# ************************************************************************************************
# fetch dimensionality, coordinate and feature vector from input data
# 1D
if len(self.shape) == 2:
# 1d case
self.dim = 1
# create coordinate vector
# self.coords = np.array([np.arange(self.shape[0])]).T
# feature vector
self.feat = self.data
# 2D
elif len(self.shape) == 3:
# 2d case
self.dim = 2
# create coordinate vector
# y, x = np.indices(self.shape[:-1])
# print(y, x)
# self.coords = np.array([y.flatten(), x.flatten()]).T
# feature vector
self.feat = np.array(
[self.data[:, :, f].ravel() for f in range(self.n_feat)]).T
# 3D
elif len(self.shape) == 4:
# 3d case
raise Exception("3D segmentation not yet supported.")
# mismatch
else:
raise Exception(
"Data format appears to be wrong (neither 1-, 2- or 3-D).")
if normalize:
self.normalize_feature_vectors()
# ************************************************************************************************
# INIT GAUSSIAN MIXTURE MODEL
self.n_labels = n_labels
self.gmm = mixture.GaussianMixture(n_components=n_labels,
covariance_type="full")
self.gmm.fit(self.feat)
# do initial prediction based on fit and observations, store as first entry in labels
# ************************************************************************************************
# INIT LABELS, MU and COV based on GMM
# TODO: [GENERAL] storage variables from lists to numpy ndarrays
self.labels = np.array([self.gmm.predict(self.feat)])
# INIT MU (mean from initial GMM)
self.mus = np.array([self.gmm.means_])
# INIT COV (covariances from initial GMM)
self.covs = np.array([self.gmm.covariances_])
self.labels_probability = np.zeros(
(1, self.labels.shape[1], self.n_labels))
self.storage_gibbs_e = np.zeros(
[1, self.labels.shape[1], self.n_labels])
self.storage_like_e = np.zeros(
[1, self.labels.shape[1], self.n_labels])
self.storage_te = np.zeros([1, self.labels.shape[1], self.n_labels])
self.beta_acc_ratio = np.array([])
self.cov_acc_ratio = np.array([])
self.mu_acc_ratio = np.array([])
# ************************************************************************************************
# Initialize PRIOR distributions for beta, mu and covariance
# BETA
if self.dim == 1:
self.prior_beta = norm(beta_init, np.eye(1) * 100)
self.betas = [beta_init]
elif self.dim == 2:
if self.stencil == "4p":
beta_dim = 2
elif self.stencil == "8p" or self.stencil is None:
beta_dim = 4
self.betas = [[beta_init for i in range(beta_dim)]]
self.prior_beta = multivariate_normal(
[beta_init for i in range(beta_dim)],
np.eye(beta_dim) * 100)
elif self.dim == 3:
raise Exception("3D not yet supported.")
# MU
# generate distribution means for each label
prior_mu_means = [self.mus[0][label] for label in range(self.n_labels)]
# generate distribution covariances for each label
prior_mu_stds = [
np.eye(self.n_feat) * 100 for label in range(self.n_labels)
]
# use the above to generate multivariate normal distributions for each label
self.priors_mu = [
multivariate_normal(prior_mu_means[label], prior_mu_stds[label])
for label in range(self.n_labels)
]
# COV
# generate b_sigma
self.b_sigma = np.zeros((self.n_labels, self.n_feat))
for l in range(self.n_labels):
self.b_sigma[l, :] = np.log(
np.sqrt(np.diag(self.gmm.covariances_[l, :, :])))
# generate kesi
self.kesi = np.ones((self.n_labels, self.n_feat)) * 100
# generate nu
self.nu = self.n_feat + 1
def fit_gaus(masked_array, ras_fn, ncomp, sampleStep):
# http://stackoverflow.com/questions/10143905/python-two-curve-gaussian-fitting-with-non-linear-least-squares/19182915#19182915
X_compress = masked_array.compressed()
X_reshape = np.reshape(X_compress, (masked_array.compressed().size, 1))
clf = mixture.GaussianMixture(n_components=ncomp, covariance_type='full')
clf.fit(X_reshape)
ml = clf.means_
wl = clf.weights_
cl = clf.covariances_
ms = [m[0] for m in ml]
cs = [np.sqrt(c[0][0]) for c in cl]
ws = [w for w in wl]
i = 0
sampleStep_str = "%03d" % (sampleStep)
histo = matplotlib.pyplot.hist(masked_array.compressed(),
300,
normed=True,
color='gray',
alpha=0.5)
fig_name = ras_fn.split('/')[-1].strip('.tif') + "_" + str(
ncomp
) + "_" + sampleStep_str + '.png' ##'_pks' + str(ncomp) + '_' + 'hist' + str(sampleStep_str) +'.png'
# Delete out_peaksCSV if exists
out_dir = os.path.split(ras_fn)[0]
out_peaks_csv = os.path.join(out_dir, fig_name.strip('.png') + '.csv')
if os.path.isfile(out_peaks_csv):
os.remove(out_peaks_csv)
print "\tOutput gaussian peaks csv: %s" % (out_peaks_csv)
with open(out_peaks_csv, 'w') as outpk:
# Write hdr if new
outpk.write(
'ras_fn,gaus1_mean,gaus1_sd,gaus2_mean,gaus2_sd,gaus3_mean,gaus3_sd\n'
)
i = 0
gauss_num = ''
outpk.write(ras_fn) # Start writing the line
for w, m, c in zip(ws, ms, cs):
i += 1
matplotlib.pyplot.plot(
histo[1],
w * matplotlib.mlab.normpdf(histo[1], m, np.sqrt(c)),
linewidth=3)
matplotlib.pyplot.axis([-5, 15, 0, 1])
gauss_num = 'Gaussian peak #%s' % (i)
print '\t' + gauss_num + ' mean: ', m, ' std dev:', c
outpk.write(',' + str(m) + ',' + str(c)) # Finish writing the line
if i == ncomp:
outpk.write('\n')
matplotlib.pyplot.savefig(os.path.join(out_dir, fig_name))
matplotlib.pyplot.clf()
return (out_peaks_csv)
if pc_name == "vision-pc26-Ubuntu":
data_path = "/home/z2228wan/data/BSDS300/images"
else:
data_path = "BSDS300/images"
# load data
print("[*] Loading data ...\t", end="")
start = time.time()
train_data = read_data(os.path.join(data_path, "train"), num_samples)
test_data = read_data(os.path.join(data_path, "test"), num_samples)
np.save(f"train_gmm/train_data_{num_samples}.npy", train_data)
np.save(f"train_gmm/test_data_{num_samples}.npy", test_data)
sio.savemat(f"train_gmm/data_{num_samples}.mat", dict(train_data=train_data, test_data=test_data))
print(f"{time.time() - start:.3f} s")
# fit a GMM model with EM
gmm = mixture.GaussianMixture(n_components=n_components, covariance_type='full', max_iter=500, tol=1e-6, verbose=2, verbose_interval=1)
if is_train:
print("[*] Fitting ...")
start = time.time()
gmm.fit(train_data)
print(f"Fitting takes {time.time() - start:.3f} s")
joblib.dump(gmm, f"train_gmm/gmm_{n_components}.joblib")
else:
gmm = joblib.load(f"train_gmm/gmm_{n_components}.joblib")
# testing this model
log_prob = gmm.score_samples(test_data)
neg_log_prob = - np.mean(log_prob)
print(f"[*] Negative log likeliohood on testing set: {neg_log_prob:.3f}")
print(df.shape, df.dtype)
dat = df[:, 0:64]
tar1 = df[:, 64]
X = dat
y = tar1
x1 = []
a1 = []
a2 = []
t1 = []
t2 = []
i1 = []
for k in range(2, 16, 2):
gmm = mixture.GaussianMixture(n_components=k,
covariance_type='full',
random_state=777)
gmm.fit(X)
cluster_labels = gmm.predict(X)
l1 = np.reshape(cluster_labels, (5619, 1))
print(cluster_labels.shape, l1.shape, X.shape)
print(cluster_labels)
X1 = np.hstack((l1, X))
X_train, X_test, y_train, y_test = train_test_split(X1,
y,
test_size=0.3,
random_state=20)
clf = MLPClassifier(solver='sgd',
activation='relu',
alpha=0.03,
momentum=0.9,
trimData = np.array(trimData[1:],dtype=np.float)
# %%
# %%
#labels.remove('STID')
labels = np.array(labels)
labels = np.delete(labels, 0) # remove first element in array
#labels = labels.astype(np.float)
# %% View data thus far
for i in range(3):
print "data " + str(data[i+1]) + "\n"
print "labels " + str(labels[i]) + "\n"
print "trim" + str(trimData[i]) + "\n"
# %%
start = time.time()
gmix = mixture.GaussianMixture(n_components=6, covariance_type='full')
gmix.fit(trimData)
end = time.time()
print(end - start)
print gmix.means_
predictions = gmix.predict(trimData)
# %%view data
kylabels = pd.DataFrame({'a':labels})
kylabels.head(10)
kylabels.tail(10)
kylabels['a'].value_counts()
# %%
# %%
cllabels = pd.DataFrame({'a':predictions})
if Fs == all_emotion_Fs:
features = extract_MFCCs(x, Fs, window * Fs,
window_overlap * Fs,
voiced_threshold_mul,
voiced_threshold_range,
calc_deltas)
all_emotion_data.append(features)
else:
print sample_file + " skipped due to mismatch in frame rate"
all_emotion_data = np.concatenate(all_emotion_data, 0)
#print all_emotion_data.shape
try:
gmm = mixture.GaussianMixture(
n_components=n_mixtures,
covariance_type='diag',
max_iter=max_iterations).fit(all_emotion_data)
except:
print "ERROR : Error while training model for file " + emotion
try:
joblib.dump(gmm, 'train_models/' + emotion_name + '.pkl')
except:
print "ERROR : Error while saving model for " + emotion_name
spct += 1
print "Training Completed"
confusion_matrix = np.zeros((total_sp, total_sp))
tct = 0
def cal(algo, labels_true, labels_pred):
print('%-30s\t%.3f\t%.3f\t%.3f' % (
algo,
metrics.normalized_mutual_info_score(
labels_true, labels_pred, average_method='arithmetic'),
metrics.homogeneity_score(labels_true, labels_pred),
metrics.completeness_score(labels_true, labels_pred),
))
labels_pred = cluster.KMeans(n_clusters=np.unique(tar).shape[0],
random_state=30).fit_predict(Data)
cal('K-Means', labels, labels_pred)
labels_pred = cluster.AffinityPropagation(damping=0.6,
preference=-2000).fit_predict(Data)
cal('AffinityPropagation', labels, labels_pred)
labels_pred = cluster.MeanShift(bandwidth=0.0005,
bin_seeding=True).fit_predict(Data)
cal('Mean-Shift', labels, labels_pred)
labels_pred = cluster.SpectralClustering(
n_clusters=np.unique(tar).shape[0]).fit_predict(Data)
cal('SpectralClustering', labels, labels_pred)
labels_pred = cluster.AgglomerativeClustering(
n_clusters=np.unique(tar).shape[0]).fit_predict(Data)
cal('AgglomerativeClustering', labels, labels_pred)
labels_pred = cluster.DBSCAN(eps=0.004, min_samples=6).fit_predict(Data)
cal('Dbscan', labels, labels_pred)
labels_pred = mixture.GaussianMixture(
n_components=np.unique(tar).shape[0]).fit_predict(Data)
cal('GaussianMixtures', labels, labels_pred)
angle = 180. * angle / np.pi # convert to degrees
ell = mpl.patches.Ellipse(mean, v[0], v[1], 180. + angle, color=color)
ell.set_clip_box(splot.bbox)
ell.set_alpha(0.5)
splot.add_artist(ell)
plt.xticks(())
plt.yticks(())
plt.title(title)
compnum = [2, 3, 4, 6, 8, 10]
for each in compnum:
t0= time.clock()
# Fit a Gaussian mixture with EM using n components
gmm = mixture.GaussianMixture(n_components= each, covariance_type='full')
gmm = gmm.fit(traindata)
# print(gmm.means_)
print(gmm.converged_)
print("Lower Bound: ")
print(gmm.lower_bound_)
t1= time.clock()
timetaken = str(t1-t0)
print("Computation Time: " + timetaken)
plot_results(traindata, gmm.predict(traindata), gmm.means_, gmm.covariances_, 0,
'Gaussian Mixture')
dpgmm = mixture.BayesianGaussianMixture(n_components=each,
covariance_type='full').fit(traindata)
plot_results(X, dpgmm.predict(X), dpgmm.means_, dpgmm.covariances_, 1,
def create_graph_with_weight(points, normCount):
'''
Returns a graph created from cell coordiantes.
edge weights set by normalized counts.
:param points: shape (n,2); normCount: shape (n)
:rtype: ndarray shape (n ,3)
'''
edges = {}
var = normCount.var()
delauny = Delaunay(points)
# cellGraph = np.zeros((delauny.simplices.shape[0]*delauny.simplices.shape[1], 4))
cellGraph = np.zeros((points.shape[0]*10, 4))
for simplex in delauny.simplices:
simplex.sort()
edge0 = str(simplex[0]) + " " + str(simplex[1])
edge1 = str(simplex[0]) + " " + str(simplex[2])
edge2 = str(simplex[1]) + " " + str(simplex[2])
edges[edge0] = 1
edges[edge1] = 1
edges[edge2] = 1
## remove repetitives edges among triangle
i = 0
for kk in edges.keys():
node0 = int(kk.split(sep=" ")[0])
node1 = int(kk.split(sep=" ")[1])
edgeDiff = normCount[node0] - normCount[node1]
energy = np.exp((0 - edgeDiff**2)/(2*var))
dist = distance.euclidean(points[node0,:], points[node1,:])
cellGraph[i] = [node0, node1, energy, dist]
i = i + 1
tempGraph = cellGraph[0:i]
n_components_range = range(1,5)
best_component = 1
lowest_bic=np.infty
temp_data = tempGraph[:,3].reshape(-1,1) ## GMM of dist
for n_components in n_components_range:
gmm = mixture.GaussianMixture(n_components = n_components)
gmm.fit(temp_data)
gmm_bic = gmm.bic(temp_data)
if gmm_bic < lowest_bic:
best_gmm = gmm
lowest_bic = gmm_bic
best_component = n_components
mIndex = np.where(best_gmm.weights_ == max(best_gmm.weights_))[0]
cutoff = best_gmm.means_[mIndex] + 2*np.sqrt(best_gmm.covariances_[mIndex])
for simplex in delauny.simplices:
simplex.sort()
dist0 = distance.euclidean(points[simplex[0],:], points[simplex[1],:])
dist1 = distance.euclidean(points[simplex[0],:], points[simplex[2],:])
dist2 = distance.euclidean(points[simplex[1],:], points[simplex[2],:])
tempArray = np.array((dist0, dist1, dist2))
badIndex = np.where(tempArray == max(tempArray))[0][0] ## remove longest edges among simplex taiangle.
if tempArray[badIndex] > cutoff:
edge0 = str(simplex[0]) + " " + str(simplex[1])
edge1 = str(simplex[0]) + " " + str(simplex[2])
edge2 = str(simplex[1]) + " " + str(simplex[2])
edgeCount = 0
if edge0 in edges and edge1 in edges and edge2 in edges:
if badIndex == 0:
del edges[edge0]
elif badIndex == 1:
del edges[edge1]
elif badIndex == 2:
del edges[edge2] ## remove longest edges from edges
i = 0
for kk in edges.keys(): ## recrete cellGraph with new edges
node0 = int(kk.split(sep=" ")[0])
node1 = int(kk.split(sep=" ")[1])
edgeDiff = normCount[node0] - normCount[node1]
energy = np.exp((0 - edgeDiff**2)/(2*var))
dist = distance.euclidean(points[node0,:], points[node1,:])
cellGraph[i] = [node0, node1, energy, dist]
i = i + 1
tempGraph = cellGraph[0:i]
temp_data = tempGraph[:,3].reshape(-1,1)
gmm = mixture.GaussianMixture(n_components = 1)
gmm.fit(temp_data)
cutoff = gmm.means_[0] + 2*np.sqrt(gmm.covariances_[0])
finalGraph = tempGraph.copy()
j=0
for i in np.arange(tempGraph.shape[0]):
if tempGraph[i, 3] < cutoff: ### re-test all edges' dist have similar distribution.
finalGraph[j] = tempGraph[i]
j = j + 1
return finalGraph
myML.plotML.plotparam_cluster(X,labels_true,"cluster.AgglomerativeClustering()",drawParam=1,n_clusters=nums)
# 测试 AgglomerativeClustering 的聚类结果随链接方式的影响
nums=range(1,50)
linkages=['ward','complete','average']
myML.plotML.plotparam_cluster(X,labels_true,"cluster.AgglomerativeClustering()",drawParam=2,n_clusters=nums,linkage=linkages)
# ---GMM
centers=[[1,1],[2,2],[1,2],[10,20]] # 用于产生聚类的中心点
X, labels_true = myML.DataPre.make_datasets("blobs", n_samples=1000, centers=centers, cluster_std=0.5 )
from sklearn import mixture
from sklearn.metrics import adjusted_rand_score
# 测试 GMM 的用法
clst=mixture.GaussianMixture()
clst.fit(X)
predicted_labels=clst.predict(X)
print("ARI:%s"% adjusted_rand_score(labels_true,predicted_labels))
# 测试 GMM 的聚类结果随 n_components 参数的影响
nums=range(1,20)
myML.plotML.plotparam_cluster(X,labels_true,"mixture.GaussianMixture()",n_components=nums)
# 测试 GMM 的聚类结果随协方差类型的影响
nums=range(1,20)
cov_types=['spherical','tied','diag','full']
myML.plotML.plotparam_cluster(X,labels_true,"mixture.GaussianMixture()",drawParam=2,n_components=nums,covariance_type=cov_types)
def LSTM_MYAP_TRAIN(Xtrain,ytrain):
everya, everyb = add_data(Xtrain,ytrain)
num_class = 2
num_features = 10
n_epoch = 20
n_batch = 10
look_back = 2
gmm1 = mixture.GaussianMixture(n_components = 2,covariance_type='full').fit(Xtrain)
nm1 = gmm1.predict(Xtrain)
#kmeans = KMeans(n_clusters=2, random_state=0).fit(Xtrain)
#nm1 = kmeans.labels_
nm1 = nm1.reshape(len(nm1),1)
Xtrain = np.concatenate((Xtrain, nm1),axis = 1);
Xtrainn = Xtrain ###
ytrainn = Xtrain[:,10 ]
Xtrain = Xtrain[:,0:Xtrain.shape[1]-1]
ytraina = ytrain[ytrainn==0]
ytrainb = ytrain[ytrainn==1]
################################################################
Xtraina = Xtrainn[Xtrainn[:,10]==0];
Xtraina = Xtraina[:,0:Xtraina.shape[1]-1]
Xtrainb = Xtrainn[Xtrainn[:,10]==1];
Xtrainb = Xtrainb[:,0:Xtrainb.shape[1]-1]
Xtraina = np.concatenate((everya,Xtraina),axis = 0)
Xtrainb = np.concatenate((everya,Xtrainb),axis = 0)
ytraina = np.concatenate((everyb,ytraina),axis = 0)
ytrainb = np.concatenate((everyb,ytrainb),axis = 0)
num_class = 4
num_features = 10
n_epoch = 20
n_batch = 10
look_back = 2
nb_samples = Xtraina.shape[0] - look_back
Xtrain2 = np.zeros((nb_samples,look_back,num_features))
y_train_reshaped2 = np.zeros((nb_samples,1,num_class))
one_hot_labels2 = np.zeros((nb_samples,1,num_class))
ytra = np.array(pd.get_dummies(np.array(ytraina.astype(int).reshape(-1))))
for i in range(nb_samples):
y_position = i + look_back
Xtrain2[i] = Xtraina[i:y_position]
one_hot_labels2[i] = ytra[y_position,:4]
model = Sequential()
opt = Adam(lr=0.001)
model.add(LSTM(4,input_shape=(None, num_features), return_sequences=True))
model.add(TimeDistributed(Dense(num_class,activation = 'tanh')))
model.add(Activation('softmax'))
model.compile(loss='categorical_crossentropy',
optimizer='adam',
metrics=['categorical_accuracy'])
filepath="weights-improvement1-{epoch:02d}-{categorical_accuracy:.2f}.hdf5"
checkpoint = ModelCheckpoint(filepath, monitor='categorical_accuracy', verbose=2, save_best_only=True, mode='max')
callbacks_list = [checkpoint]
cm1 = model.fit(Xtrain2,one_hot_labels2,epochs=n_epoch,batch_size=n_batch,verbose=2)
clf1 = model
nb_samples = Xtrainb.shape[0] - look_back
Xtrain2 = np.zeros((nb_samples,look_back,num_features))
y_train_reshaped2 = np.zeros((nb_samples,1,num_class))
one_hot_labels2 = np.zeros((nb_samples,1,num_class))
ytra = np.array(pd.get_dummies(np.array(ytrainb.astype(int).reshape(-1))))
for i in range(nb_samples):
y_position = i + look_back
Xtrain2[i] = Xtrainb[i:y_position]
one_hot_labels2[i] = ytra[y_position,:4]
model = Sequential()
opt = Adam(lr=0.001)
model.add(LSTM(4, input_shape=(None, num_features), return_sequences=True,kernel_initializer='random_uniform'))
model.add(TimeDistributed(Dense(num_class,activation = 'tanh')))
model.add(Activation('softmax'))
model.compile(loss='categorical_crossentropy',
optimizer='adam',
metrics=['categorical_accuracy'])
filepath="weights-improvement1-{epoch:02d}-{categorical_accuracy:.2f}.hdf5"
checkpoint = ModelCheckpoint(filepath, monitor='categorical_accuracy', verbose=2, save_best_only=True, mode='max')
callbacks_list = [checkpoint]
n_epoch = 20
cm2 = model.fit(Xtrain2,one_hot_labels2, epochs=n_epoch, batch_size=n_batch, verbose=2)
clf2 = model
po = ([len(list(group)) for key, group in groupby(np.sort(ytraina))])
pn = ([len(list(group)) for key, group in groupby(np.sort(ytrainb))])
return (clf1, clf2, po, pn, Xtraina, ytraina, Xtrainb, ytrainb)
def __init__(self, K, random_state=42):
self.gmm = mixture.GaussianMixture(n_components=K,
covariance_type='full')
def estimate(self, experiment, subset=None):
"""
Estimate the Gaussian mixture model parameters
"""
if not experiment:
raise util.CytoflowOpError("No experiment specified")
if self.xchannel not in experiment.data:
raise util.CytoflowOpError(
"Column {0} not found in the experiment".format(self.xchannel))
if self.ychannel not in experiment.data:
raise util.CytoflowOpError(
"Column {0} not found in the experiment".format(self.ychannel))
for b in self.by:
if b not in experiment.data:
raise util.CytoflowOpError("Aggregation metadata {0} not found"
" in the experiment".format(b))
if len(experiment.data[b].unique()) > 100: #WARNING - magic number
raise util.CytoflowOpError(
"More than 100 unique values found for"
" aggregation metadata {0}. Did you"
" accidentally specify a data channel?".format(b))
if self.num_components == 1 and self.posteriors:
raise util.CytoflowOpError(
"If num_components == 1, all posteriors are 1.")
if subset:
try:
experiment = experiment.query(subset)
except:
raise util.CytoflowViewError(
"Subset string '{0}' isn't valid".format(subset))
if len(experiment) == 0:
raise util.CytoflowViewError(
"Subset string '{0}' returned no events".format(subset))
if self.by:
groupby = experiment.data.groupby(self.by)
else:
# use a lambda expression to return a group that contains
# all the events
groupby = experiment.data.groupby(lambda x: True)
# get the scale. estimate the scale params for the ENTIRE data set,
# not subsets we get from groupby(). And we need to save it so that
# the data is transformed the same way when we apply()
self._xscale = util.scale_factory(self.xscale,
experiment,
channel=self.xchannel)
self._yscale = util.scale_factory(self.yscale,
experiment,
channel=self.ychannel)
gmms = {}
for group, data_subset in groupby:
if len(data_subset) == 0:
raise util.CytoflowOpError(
"Group {} had no data".format(group))
x = data_subset.loc[:, [self.xchannel, self.ychannel]]
x[self.xchannel] = self._xscale(x[self.xchannel])
x[self.ychannel] = self._yscale(x[self.ychannel])
# drop data that isn't in the scale range
x = x[~(np.isnan(x[self.xchannel]) | np.isnan(x[self.ychannel]))]
x = x.values
gmm = mixture.GaussianMixture(n_components=self.num_components,
covariance_type="full",
random_state=1)
gmm.fit(x)
if not gmm.converged_:
raise util.CytoflowOpError("Estimator didn't converge"
" for group {0}".format(group))
# in the 1D version, we sort the components by the means -- so
# the first component has the lowest mean, the second component
# has the next-lowest mean, etc. that doesn't work in a 2D area,
# obviously.
# instead, we assume that the clusters are likely (?) to be
# arranged along *one* of the axes, so we take the |norm| of the
# x,y mean of each cluster and sort that way.
norms = (gmm.means_[:, 0]**2 + gmm.means_[:, 1]**2)**0.5
sort_idx = np.argsort(norms)
gmm.means_ = gmm.means_[sort_idx]
gmm.weights_ = gmm.weights_[sort_idx]
gmm.covariances_ = gmm.covariances_[sort_idx]
gmms[group] = gmm
self._gmms = gmms
MFCC_GIRL = mfcc(SIG_GIRL, RATE_GIRL, numcep=16)
DELTA1_GIRL = delta(MFCC_GIRL, 2)
DELTA2_GIRL = delta(DELTA1_GIRL, 2)
GIRL_FEATURES = pd.concat([
pd.DataFrame(MFCC_GIRL),
pd.DataFrame(DELTA1_GIRL),
pd.DataFrame(DELTA2_GIRL)
],
axis=1)
GIRL_FEATURES = preprocessing.scale(GIRL_FEATURES)
##########################################################################################################################################
BOY_MODEL = mixture.GaussianMixture(n_components=20,
max_iter=1000,
tol=.01,
warm_start=True,
covariance_type='diag')
BOY_MODEL.fit(BOY_FEATURES)
GIRL_MODEL = mixture.GaussianMixture(n_components=20,
max_iter=1000,
tol=.01,
warm_start=True,
covariance_type='diag')
GIRL_MODEL.fit(GIRL_FEATURES)
##########################################################################################################################################
(RATE_INPUT, SIG_INPUT) = wav.read(
"/Users/abhishaikemahajan/Documents/VOICE/WORKSHOPTEST/SeshaTest.wav")
splot.add_artist(ell)
plt.xlim(-9., 5.)
plt.ylim(-3., 6.)
plt.xticks(())
plt.yticks(())
plt.title(title)
# Number of samples per component
n_samples = 500
# Generate random sample, two components
np.random.seed(0)
C = np.array([[0., -0.1], [1.7, .4]])
X = np.r_[np.dot(np.random.randn(n_samples, 2), C),
.7 * np.random.randn(n_samples, 2) + np.array([-6, 3])]
# Fit a Gaussian mixture with EM using five components
gmm = mixture.GaussianMixture(n_components=5, covariance_type='full').fit(X)
plot_results(X, gmm.predict(X), gmm.means_, gmm.covariances_, 0,
'Gaussian Mixture')
# Fit a Dirichlet process Gaussian mixture using five components
dpgmm = mixture.BayesianGaussianMixture(n_components=5,
covariance_type='full').fit(X)
plot_results(X, dpgmm.predict(X), dpgmm.means_, dpgmm.covariances_, 1,
'Bayesian Gaussian Mixture with a Dirichlet process prior')
plt.show()
plt.suptitle(("Silhouette analysis for KMeans clustering on tic tac toe dataset "
"with n_clusters = %d" % n_clusters),
fontsize=14, fontweight='bold')
plt.show()
##em
lowest_bic = np.infty
bic = []
n_components_range = range(2, 14,2)
cv_types = ['spherical', 'tied', 'full']
for cv_type in cv_types:
for n_components in n_components_range:
# Fit a Gaussian mixture with EM
gmm = mixture.GaussianMixture(n_components=n_components,
covariance_type=cv_type, random_state=777)
gmm.fit(X12)
gmm_labels = gmm.predict(X12)
bic.append(gmm.bic(X12))
if abs(bic[-1]) < lowest_bic:
lowest_bic = abs(bic[-1])
best_gmm = gmm
bic = np.array(bic)
color_iter = itertools.cycle(['navy', 'turquoise', 'cornflowerblue',
'darkorange'])
clf = best_gmm
bars = []
# Plot the BIC scores
plt.figure(figsize=(8, 6))
# In[6]:
from sklearn import mixture
import itertools
Xgmm = Xmat
lowest_bic = np.infty
bic = []
n_components_range = range(1, 6)
cv_types = ['tied']
for cv_type in cv_types:
for n_components in n_components_range:
# Fit a Gaussian mixture with EM
gmm = mixture.GaussianMixture(n_components=n_components,
covariance_type=cv_type)
gmm.fit(Xgmm)
bic.append(gmm.bic(Xgmm))
if n_components == 5:
bic[-1] = bic[-2] + 1000
if bic[-1] < lowest_bic:
lowest_bic = bic[-1]
best_gmm = gmm
bic = np.array(bic)
color_iter = itertools.cycle(['cornflowerblue'])
clf = best_gmm
bars = []
# Plot the BIC scores
def maintask(task):
data = np.load('lab2_data.npz')['data']
phoneHMMs = np.load('lab2_models_onespkr.npz')['phoneHMMs'].item()
phoneHMMs_all = np.load('lab2_models_all.npz')['phoneHMMs'].item()
if task == '4':
hmm1 = phoneHMMs['ah']
hmm2 = phoneHMMs['ao']
twohmm = concatTwoHMMs(hmm1, hmm2)
"""5 HMM Likelihood and Recognition"""
example = np.load('lab2_example.npz')['example'].item()
isolated = {}
for digit in prondict.keys():
isolated[digit] = ['sil'] + prondict[digit] + ['sil']
wordHMMs = {}
wordHMMs_all = {}
for digit in prondict.keys():
wordHMMs[digit] = concatHMMs(phoneHMMs, isolated[digit])
# for 11 digits
for digit in prondict.keys():
wordHMMs_all[digit] = concatHMMs(phoneHMMs_all, isolated[digit])
# example
lpr = log_multivariate_normal_density_diag(example['lmfcc'],
wordHMMs['o']['means'],
wordHMMs['o']['covars'])
diff = example['obsloglik'] - lpr # 0
# same digit 'o'
lpr_o = log_multivariate_normal_density_diag(data[22]['lmfcc'],
wordHMMs_all['o']['means'],
wordHMMs_all['o']['covars'])
if task == '5.1':
plt.figure()
plt.subplot(2, 1, 1)
plt.pcolormesh(lpr.T)
plt.title('example "o" ')
plt.colorbar()
plt.subplot(2, 1, 2)
plt.pcolormesh(lpr_o.T)
plt.title('test "o" from data22')
plt.colorbar()
plt.show()
"""
5.2
"""
lalpha = forward(lpr, np.log(wordHMMs['o']['startprob']),
np.log(wordHMMs['o']['transmat']))
diff1 = example['logalpha'] - lalpha # 0
# log-likelihood
loglike = logsumexp(lalpha[-1])
diff0 = example['loglik'] - loglike # 0
# score all the 44 utterances in the data array with each of the 11 HMM
# models in wordHMMs.
scores_1 = np.zeros((44, 11))
scores_2 = np.zeros((44, 11))
labels_ori = []
labels_pre = []
labels_pre2 = []
keys = list(prondict.keys())
acc_1 = 0
acc_2 = 0
if task == '5.2':
for i in range(44):
for j, key in enumerate(keys):
lpr = log_multivariate_normal_density_diag(
data[i]['lmfcc'], wordHMMs_all[key]['means'],
wordHMMs_all[key]['covars'])
alpha = forward(lpr, np.log(wordHMMs_all[key]['startprob']),
np.log(wordHMMs_all[key]['transmat']))
scores_2[i, j] = logsumexp(alpha[-1])
lpr_1 = log_multivariate_normal_density_diag(
data[i]['lmfcc'], wordHMMs[key]['means'],
wordHMMs[key]['covars'])
alpha_1 = forward(lpr_1, np.log(wordHMMs[key]['startprob']),
np.log(wordHMMs[key]['transmat']))
scores_1[i, j] = logsumexp(alpha_1[-1])
ori = data[i]['digit']
pre_1 = keys[int(np.argmax(scores_1[i, :]))]
pre_2 = keys[int(np.argmax(scores_2[i, :]))]
#labels_ori.append(ori)
labels_pre.append(pre_1)
labels_pre2.append(pre_2)
if ori == pre_1:
acc_1 += 1
if ori == pre_2:
acc_2 += 1
print(
"Accuracy(trained on all speakers): {0}; Accuracy(trained on one speaker):{1} "
.format(acc_2, acc_1))
print(labels_pre, labels_pre2)
"""
5.3 Viterbi
"""
viterbi_loglik, viterbi_path = viterbi(lpr,
np.log(wordHMMs['o']['startprob']),
np.log(wordHMMs['o']['transmat']))
if task == '5.3':
plt.pcolormesh(lalpha.T)
plt.plot(viterbi_path, 'r')
plt.title(
'alpha array overlaid with best path obtained by Viterbi decoding '
)
plt.colorbar()
plt.show()
diff3 = example['vloglik'] - viterbi_loglik.T # 0
# Score all 44 utterances in the data with each of the 11 HMM models in wordHMMs
for i in range(44):
for j, key in enumerate(keys):
lpr = log_multivariate_normal_density_diag(
data[i]['lmfcc'], wordHMMs_all[key]['means'],
wordHMMs_all[key]['covars'])
viterbi_2, viterbi_path_2 = viterbi(
lpr, np.log(wordHMMs_all[key]['startprob']),
np.log(wordHMMs_all[key]['transmat']))
scores_2[i, j] = viterbi_2
lpr_1 = log_multivariate_normal_density_diag(
data[i]['lmfcc'], wordHMMs[key]['means'],
wordHMMs[key]['covars'])
viterbi_1, viterbi_path_1 = viterbi(
lpr_1, np.log(wordHMMs[key]['startprob']),
np.log(wordHMMs[key]['transmat']))
scores_1[i, j] = viterbi_1
ori = data[i]['digit']
pre_1 = keys[int(np.argmax(scores_1[i, :]))]
pre_2 = keys[int(np.argmax(scores_2[i, :]))]
#labels_ori.append(ori)
labels_pre.append(pre_1)
labels_pre2.append(pre_2)
if ori == pre_1:
acc_1 += 1
if ori == pre_2:
acc_2 += 1
print(
"Accuracy(trained on all speakers): {0}; Accuracy(trained on one speaker):{1} "
.format(acc_2, acc_1))
print(labels_pre, labels_pre2)
"""
5.4
"""
lbeta = backward(lpr, np.log(wordHMMs['o']['startprob']),
np.log(wordHMMs['o']['transmat']))
diff2 = example['logbeta'] - lbeta
# log-likelihood
loglike = logsumexp(lbeta[0])
diff4 = example['loglik'] - loglike # 0
if task == '5.4':
plt.figure()
plt.subplot(1, 3, 1)
plt.pcolormesh(lbeta)
plt.title('log-beta')
plt.subplot(1, 3, 2)
plt.pcolormesh(example['logbeta'])
plt.title('example')
plt.subplot(1, 3, 3)
plt.pcolormesh(example['logalpha'])
plt.title('log-alpha')
plt.show()
"""6 HMM Retraining(emission probability distributions)"""
"""
6.1
"""
lgamma = statePosteriors(lalpha, lbeta)
N = lgamma.shape[0]
K = 9
lgamma_gmm = np.zeros((N, K))
total = log_multivariate_normal_density_diag(example['lmfcc'],
wordHMMs['o']['means'],
wordHMMs['o']['covars'])
if task == '6.1':
print('HMM posteriors')
print('each time step sum along state axis',
np.sum(np.exp(lgamma), axis=1)) #=1
print('each state sum along time axis',
np.sum(np.exp(lgamma) / 71, axis=0))
print('sum over both states and time steps',
np.sum(np.sum(
np.exp(lgamma)))) # =length of obs sequence/time steps
print('length of observation sequence', lalpha.shape[0])
print('GMM posteriors')
# for k in range(K):
#lgamma_gmm[:, k] = 1 / K * total[:, k] / np.sum(total[:, k])
gmm = mixture.GaussianMixture(n_components=9)
gmm.fit(example['lmfcc'])
gmm_post = gmm.predict_proba(example['lmfcc'])
plt.subplot(2, 1, 1)
plt.pcolormesh(gmm_post.T)
plt.title('GMM posteriors')
plt.colorbar()
plt.subplot(2, 1, 2)
plt.pcolormesh(lgamma.T)
plt.title('HMM posteriors')
plt.colorbar()
plt.show()
"""6.2"""
if task == '6.2':
plt.figure()
L = {}
for d in prondict:
# initialization
log_pi = np.log(wordHMMs_all[d]['startprob'])
log_tr = np.log(wordHMMs_all[d]['transmat'])
means = wordHMMs_all[d]['means']
covars = wordHMMs_all[d]['covars']
l = []
# repitation:
for i in range(20):
lpr = log_multivariate_normal_density_diag(
data[10]['lmfcc'], means, covars)
# Expectation
lalpha = forward(lpr, log_pi, log_tr)
lbeta = backward(lpr, log_pi, log_tr)
log_gamma = statePosteriors(lalpha, lbeta)
# Maximization
means, covars = updateMeanAndVar(data[10]['lmfcc'], log_gamma)
# Estimate likelihood
log_like = logsumexp(lalpha[-1])
if i > 2 and log_like - l[-1] < 0.1:
l.append(log_like)
L[d] = l
break
else:
l.append(log_like)
L[d] = l
plt.plot(l, label=d)
plt.legend()
plt.title('log-likelihood (data[10] with different wordHMMs)')
plt.show()
def compute_paa(self, targets, target_labels, anchors, labels_all,
loss_all, matched_idx_all):
"""
criteria: 'PAA' or 'GMM'
Args:
labels_all (batch_size x num_anchors): assigned labels
loss_all (batch_size x numanchors): calculated loss
"""
cls_labels = []
reg_targets = []
matched_gts = []
for im_i in range(len(targets)):
targets_per_im = targets[im_i].tensor
bboxes_per_im = targets_per_im
labels_per_im = target_labels[im_i]
anchors_per_im = Boxes.cat(anchors[im_i]).tensor
num_gt = bboxes_per_im.shape[0]
labels = labels_all[im_i]
loss = loss_all[im_i]
matched_idx = matched_idx_all[im_i]
assert labels.shape == matched_idx.shape
num_anchors_per_level = [
len(anchors_per_level) for anchors_per_level in anchors[im_i]
]
# select candidates based on IoUs between anchors and GTs
candidate_idxs = []
for gt in range(num_gt):
candidate_idxs_per_gt = []
star_idx = 0
for level, anchors_per_level in enumerate(anchors[im_i]):
end_idx = star_idx + num_anchors_per_level[level]
loss_per_level = loss[star_idx:end_idx]
labels_per_level = labels[star_idx:end_idx]
matched_idx_per_level = matched_idx[star_idx:end_idx]
match_idx = ((matched_idx_per_level == gt) &
(labels_per_level > 0)).nonzero()[:, 0]
if match_idx.numel() > 0:
_, topk_idxs = loss_per_level[match_idx].topk(
min(match_idx.numel(), self.cfg.MODEL.PAA.TOPK),
largest=False)
topk_idxs_per_level_per_gt = match_idx[topk_idxs]
candidate_idxs_per_gt.append(
topk_idxs_per_level_per_gt + star_idx)
star_idx = end_idx
if candidate_idxs_per_gt:
candidate_idxs.append(torch.cat(candidate_idxs_per_gt))
else:
candidate_idxs.append(None)
# fit 2-mode GMM per GT box
n_labels = anchors_per_im.shape[0]
cls_labels_per_im = torch.zeros(n_labels, dtype=torch.long).cuda()
matched_gts_per_im = torch.zeros_like(anchors_per_im)
fg_inds = matched_idx >= 0
matched_gts_per_im[fg_inds] = bboxes_per_im[matched_idx[fg_inds]]
is_grey = None
for gt in range(num_gt):
if candidate_idxs[gt] is not None:
if candidate_idxs[gt].numel() > 1:
candidate_loss = loss[candidate_idxs[gt]]
candidate_loss, inds = candidate_loss.sort()
candidate_loss = candidate_loss.view(-1,
1).cpu().numpy()
min_loss, max_loss = candidate_loss.min(
), candidate_loss.max()
means_init = [[min_loss], [max_loss]]
weights_init = [0.5, 0.5]
precisions_init = [[[1.0]], [[1.0]]]
gmm = skm.GaussianMixture(
2,
weights_init=weights_init,
means_init=means_init,
precisions_init=precisions_init)
gmm.fit(candidate_loss)
components = gmm.predict(candidate_loss)
scores = gmm.score_samples(candidate_loss)
components = torch.from_numpy(components).to("cuda")
scores = torch.from_numpy(scores).to("cuda")
fgs = components == 0
bgs = components == 1
if fgs.nonzero().numel() > 0:
fg_max_score = scores[fgs].max().item()
fg_max_idx = (
fgs &
(scores == fg_max_score)).nonzero().min()
is_neg = inds[fgs | bgs]
is_pos = inds[:fg_max_idx + 1]
else:
# just treat all samples as positive for high recall.
is_pos = inds
is_neg = is_grey = None
else:
is_pos = 0
is_neg = None
is_grey = None
if is_grey is not None:
grey_idx = candidate_idxs[gt][is_grey]
cls_labels_per_im[grey_idx] = -1
if is_neg is not None:
neg_idx = candidate_idxs[gt][is_neg]
cls_labels_per_im[neg_idx] = 0
pos_idx = candidate_idxs[gt][is_pos]
cls_labels_per_im[pos_idx] = labels_per_im[gt].view(-1, 1)
matched_gts_per_im[pos_idx] = bboxes_per_im[gt].view(-1, 4)
reg_targets_per_im = self.box_coder.get_deltas(
anchors_per_im, matched_gts_per_im)
cls_labels.append(cls_labels_per_im)
reg_targets.append(reg_targets_per_im)
matched_gts.append(matched_gts_per_im)
return cls_labels, reg_targets, matched_gts
for i in range(0, len(idx_positive[0])):
positive_features[i] = gen_features[idx_positive[0][i]]
print("positive features: ", type(positive_features),
positive_features.shape)
for i in range(0, len(idx_negative[0])):
negative_features[i] = gen_features[idx_negative[0][i]]
print("negative features: ", type(negative_features),
negative_features.shape)
n_components = np.arange(1, 10)
models = [
mixture.GaussianMixture(n, covariance_type='full', random_state=0)
for n in n_components
]
aics = [
model.fit(positive_features).aic(positive_features) for model in models
]
bics = [
model.fit(positive_features).bic(positive_features) for model in models
]
plt.plot(n_components, aics, label="AIC-positive")
plt.plot(n_components, bics, label="BIC-positive")
plt.legend(loc='best')
plt.xlabel('n_components')
plt.savefig("/path/to/save/results/positive_data.png")
print("Plot saved")
gmm_positive = mixture.GaussianMixture(4,
