def classify(self,points):
""" Classify the points by computing probabilities
for each class and return most probable label. """
try:
if(len(self.states.mean)==len(self.states.var)):
mu = np.array(self.states.mean);
cv = np.array(self.states.var);
logProb = mixture.log_multivariate_normal_density(points, mu, cv, 'full');
ndx = logProb.argmax(axis=1);
est_labels = [];
for n in ndx:
for k,v in self.states.labels.items():
if v==n:
est_labels.append(k);
#print 'est prob',est_prob.shape,self.states.labels;
# get index of highest probability, this gives class label
return est_labels, logProb;
else:
raise NameError('ERROR_SIZE');
except NameError:
print('BayesClassifier.train :: Array size mismatch.\n');
traceback.print_exc(file=sys.stdout);
sys.exit(0);
def forcedAlignment(lmfcc, phoneHMMs, phoneTrans, filename):
""" forcedAlignmen: aligns a phonetic transcription at the state level
Args:
lmfcc: NxD array of MFCC feature vectors (N vectors of dimension D)
computed the same way as for the training of phoneHMMs
phoneHMMs: set of phonetic Gaussian HMM models
phoneTrans: list of phonetic symbols to be aligned including initial and
final silence
Returns:
list of strings in the form phoneme_index specifying, for each time step
the state from phoneHMMs corresponding to the viterbi path.
"""
utteranceHMM = concatHMMs(phoneHMMs, phoneTrans, digit=filename[:-1])
stateTrans = [
phone + '_' + str(stateid) for phone in phoneTrans
for stateid in range(nstates[phone])
]
from sklearn.mixture import log_multivariate_normal_density
import warnings
warnings.simplefilter('ignore')
obsloglik = log_multivariate_normal_density(lmfcc, utteranceHMM['means'],
utteranceHMM['covars'], 'diag')
_, viterbiStateIdTrans = viterbi(
obsloglik, np.log(utteranceHMM['startprob']),
np.log(utteranceHMM['transmat'][:-1, :-1]))
return [stateTrans[idx] for idx in viterbiStateIdTrans]
def _compute_log_weighted_gaussian_densities(self, X, i_comp):
cur_means = self.means_[i_comp]
cur_covs = self.covars_[i_comp]
if self.covariance_type == 'spherical':
cur_covs = cur_covs[:, np.newaxis]
log_cur_weights = np.log(self.weights_[i_comp])
return log_multivariate_normal_density(
X, cur_means, cur_covs, self.covariance_type) + log_cur_weights
def gaussian_log_likelihood(x, mean, covariance):
covariance_diag = []
for i in range(0, len(mean)):
covariance_diag.append(covariance[i][i])
likelihood = log_multivariate_normal_density(np.array([x]),
np.array([mean]),
np.array([covariance_diag]),
covariance_type = 'diag')
return likelihood[0][0]
def dup__div__(self, other):
x = np.array([self._semantics])
means = np.array([other._semantics])
m, n = x.shape
covars = np.ones((1, n))
# print x
# print means
# print covars
return log_multivariate_normal_density(x, means, covars)
def derGMMmodel(GMMmodel, UB):
"""
Compute derivates of GMM model, respect to each corner as:
sum(W*N(x,\mu,\Sigma)*(x - \mu).T inv(\Sigma))
f'(x) = -----------------------------------------------
sum(W*N(x,\mu,\Sigma))
"""
outUB = UB
U = UB[0:2]
B = UB[2:4]
#--- Compute deriv respect to Upper corner
denU = np.exp(GMMmodel['Upper'].score(U.reshape(1,-1)))
numU = np.sum(
np.exp(
mixture.log_multivariate_normal_density(
GMMmodel['Upper'].means_,
GMMmodel['Upper'].covars_,
GMMmodel['Upper'].covariance_type)
)
* GMMmodel['Upper'].weights_
* (GMMmodel['Upper'].mean_ - U).T
* np.linalg.inv(GMMmodel['Upper'].covars_),
axis=0
)
outUB[0:2] = numU/denU
#--- Compute deriv respect to Bottom corner
denB = np.exp(GMMmodel['Bottom'].score(B.reshape(1,-1)))
numB = np.sum(
np.exp(
mixture.log_multivariate_normal_density(
GMMmodel['Bottom'].means_,
GMMmodel['Bottom'].covars_,
GMMmodel['Bottom'].covariance_type)
)
* GMMmodel['Bottom'].weights_
* (GMMmodel['Bottom'].mean_ - U).T
* np.linalg.inv(GMMmodel['Bottom'].covars_),
axis=0
)
outUB[2:4] = numB/denB
return outUB
def _compute_log_weighted_gaussian_densities(self, X, i_comp):
cur_means = self.means_[i_comp]
cur_covs = self.covars_[i_comp]
if self.covariance_type == 'spherical':
cur_covs = cur_covs[:, np.newaxis]
log_cur_weights = np.log(self.weights_[i_comp])
return log_multivariate_normal_density(
X, cur_means, cur_covs, self.covariance_type
) + log_cur_weights
def pca_enc_score(pca_predy, pca_y, pca_cov):
samples = pca_predy.shape[0]
if samples != pca_y.shape[0]:
raise RuntimeError('X and y need to have the same number of samples')
log_likelihood = np.empty((samples,))
for i in xrange(samples):
log_likelihood[i] = log_multivariate_normal_density(
pca_y[i][None,:], pca_predy[i][None,:],
pca_cov[None,:,:], covariance_type='full')
return log_likelihood
def test_lmvnpdf_spherical():
n_features, n_components, n_samples = 2, 3, 10
mu = rng.randint(10) * rng.rand(n_components, n_features)
spherecv = rng.rand(n_components, 1)**2 + 1
X = rng.randint(10) * rng.rand(n_samples, n_features)
cv = np.tile(spherecv, (n_features, 1))
reference = _naive_lmvnpdf_diag(X, mu, cv)
lpr = mixture.log_multivariate_normal_density(X, mu, spherecv, 'spherical')
assert_array_almost_equal(lpr, reference)
def test_lmvnpdf_spherical():
n_features, n_components, n_samples = 2, 3, 10
mu = rng.randint(10) * rng.rand(n_components, n_features)
spherecv = rng.rand(n_components, 1) ** 2 + 1
X = rng.randint(10) * rng.rand(n_samples, n_features)
cv = np.tile(spherecv, (n_features, 1))
reference = _naive_lmvnpdf_diag(X, mu, cv)
lpr = mixture.log_multivariate_normal_density(X, mu, spherecv, "spherical")
assert_array_almost_equal(lpr, reference)
def posterior_prob(self, obs, with_noise=False):
"""posterior probabilities for data under the model
:type obs: ndarray
:param obs: observations to be evaluated [n, tf, nc]
:type with_noise: bool
:param with_noise: if True, include the noise cluster as component
in the mixture.
Default=False
:rtype: ndarray
:returns: matrix with per component posterior probabilities [n, c]
"""
# check obs
obs = sp.atleast_2d(obs)
if len(obs) == 0:
raise ValueError('no observations passed!')
data = []
if obs.ndim == 2:
if obs.shape[1] != self._tf * self._nc:
raise ValueError('data dimensions not compatible with model')
for i in xrange(obs.shape[0]):
data.append(obs[i])
elif obs.ndim == 3:
if obs.shape[1:] != (self._tf, self._nc):
raise ValueError('data dimensions not compatible with model')
for i in xrange(obs.shape[0]):
data.append(mcvec_to_conc(obs[i]))
data = sp.asarray(data, dtype=sp.float64)
# build comps
comps = self.get_template_set(mc=False)
if with_noise:
comps = sp.vstack((comps, sp.zeros((self._tf * self._nc))))
comps = comps.astype(sp.float64)
if len(comps) == 0:
return sp.zeros((len(obs), 1))
# build priors
prior = sp.array([self._lpr_s] * len(comps), dtype=sp.float64)
if with_noise:
prior[-1] = self._lpr_n
# get sigma
try:
sigma = self._ce.get_cmx(tf=self._tf).astype(sp.float64)
except:
return sp.zeros((len(obs), 1))
# calc log probs
lpr = log_multivariate_normal_density(data, comps, sigma,
'tied') + prior
logprob = logsumexp(lpr, axis=1)
return sp.exp(lpr - logprob[:, sp.newaxis])
def test_lmvnpdf_full():
n_features, n_components, n_samples = 2, 3, 10
mu = rng.randint(10) * rng.rand(n_components, n_features)
cv = (rng.rand(n_components, n_features) + 1.0) ** 2
X = rng.randint(10) * rng.rand(n_samples, n_features)
fullcv = np.array([np.diag(x) for x in cv])
reference = _naive_lmvnpdf_diag(X, mu, cv)
lpr = mixture.log_multivariate_normal_density(X, mu, fullcv, 'full')
assert_array_almost_equal(lpr, reference)
def test_lmvnpdf_diag():
# test a slow and naive implementation of lmvnpdf and
# compare it to the vectorized version (mixture.lmvnpdf) to test
# for correctness
n_features, n_components, n_samples = 2, 3, 10
mu = rng.randint(10) * rng.rand(n_components, n_features)
cv = (rng.rand(n_components, n_features) + 1.0)**2
X = rng.randint(10) * rng.rand(n_samples, n_features)
ref = _naive_lmvnpdf_diag(X, mu, cv)
lpr = mixture.log_multivariate_normal_density(X, mu, cv, 'diag')
assert_array_almost_equal(lpr, ref)
def test_lmvnpdf_full():
n_features, n_components, n_samples = 2, 3, 10
mu = rng.randint(10) * rng.rand(n_components, n_features)
cv = (rng.rand(n_components, n_features) + 1.0)**2
X = rng.randint(10) * rng.rand(n_samples, n_features)
fullcv = np.array([np.diag(x) for x in cv])
reference = _naive_lmvnpdf_diag(X, mu, cv)
lpr = mixture.log_multivariate_normal_density(X, mu, fullcv, 'full')
assert_array_almost_equal(lpr, reference)
def getGMMProbs(GMM,argument,embeddings):
#logs = mixture.log_multivariate_normal_density(np.array([embeddings[argument]]), GMM.means_, GMM.covars_, GMM.covariance_type)[0] + np.log(GMM.weights_)
X = np.array([embeddings[argument]])
lpr = (mixture.log_multivariate_normal_density(X, GMM.means_, GMM.covars_,
GMM.covariance_type))
probs = np.exp(lpr)
return probs[0]
def test_lmvnpdf_diag():
# test a slow and naive implementation of lmvnpdf and
# compare it to the vectorized version (mixture.lmvnpdf) to test
# for correctness
n_features, n_components, n_samples = 2, 3, 10
mu = rng.randint(10) * rng.rand(n_components, n_features)
cv = (rng.rand(n_components, n_features) + 1.0) ** 2
X = rng.randint(10) * rng.rand(n_samples, n_features)
ref = _naive_lmvnpdf_diag(X, mu, cv)
lpr = mixture.log_multivariate_normal_density(X, mu, cv, 'diag')
assert_array_almost_equal(lpr, ref)
def main():
a = concatHMMs(phoneHMMs, namelist=prondict['4'])
data = np.load('lab2_data.npz')['data'][10]
#loglik=example['obsloglik']
#print()
fakelog = log_multivariate_normal_density(data['lmfcc'], a['means'],
a['covars'])
#fakelog=log_multivariate_normal_density(example['lmfcc'],a['means'],a['covars'])
#print(fakelog)
#plt.pcolormesh(example['lmfcc'])
#plt.show()
#4.1
#plt.pcolormesh(fakelog.transpose())
#plt.colorbar()
#plt.show()
#4.2
log_alpha = forward(fakelog, np.log(a['startprob']), np.log(a['transmat']))
#print(log_alpha)
#4.3
x = viterbi(fakelog, np.log(a['startprob']), np.log(a['transmat']))
#4.4
log_beta = backward(fakelog, np.log(a['startprob']), np.log(a['transmat']))
#print(log_beta)
#5.1
# print(log_alpha)
# print("------------------------------")
# print(log_beta)
log_gamma = statePosteriors(log_alpha, log_beta)
#print(log_gamma)
#5.2
mu, covar = updateMeanAndVar(data['lmfcc'], log_gamma)
#new_fake_log=log_multivariate_normal_density(data['lmfcc'],mu,covar)
new_fake_log = fakelog
for x in range(1, 15):
log_alpha = forward(new_fake_log, np.log(a['startprob']),
np.log(a['transmat']))
log_beta = backward(new_fake_log, np.log(a['startprob']),
np.log(a['transmat']))
log_gamma = statePosteriors(log_alpha, log_beta)
mu, covar = updateMeanAndVar(data['lmfcc'], log_gamma)
#covar=a['covars']
new_fake_log = log_multivariate_normal_density_diag(
data['lmfcc'], mu, covar)
def logPdf(self, x):
x = np.array([x], ndmin=2)
return log_multivariate_normal_density(x, self.mean, self.covar)
reload(proto2)
tidigits = np.load('lab2_tidigits.npz')['tidigits']
models = np.load('lab2_models.npz')['models']
example = np.load('lab2_example.npz')['example'].item()
plt.figure(1)
# Plot Mfcc
plt.subplot(511)
plt.imshow(example['mfcc'].transpose(), origin='lower', interpolation='nearest', aspect='auto')
# Compute 4: Multivariate Gaussian Density
gmm_obsloglik = skm.log_multivariate_normal_density(example['mfcc'],
models[0]['gmm']['means'],
models[0]['gmm']['covars'], 'diag')
hmm_obsloglik = skm.log_multivariate_normal_density(example['mfcc'],
models[0]['hmm']['means'],
models[0]['hmm']['covars'], 'diag')
plt.subplot(512)
plt.imshow(gmm_obsloglik.transpose(), origin='lower', interpolation='nearest', aspect='auto')
plt.subplot(513)
plt.imshow(hmm_obsloglik.transpose(), origin='lower', interpolation='nearest', aspect='auto')
# Compute 5 : GMM Likelihood and Recognition
# Retrieve example['gmm_loglik']
gmmloglik = proto2.gmmloglik(gmm_obsloglik, models[0]['gmm']['weights'])
from sklearn.mixture import log_multivariate_normal_density
plt.rcParams['image.cmap'] = 'jet'
tidigits = np.load('lab2_tidigits.npz', encoding='latin1')['tidigits']
models = np.load('lab2_models.npz', encoding='latin1')['models']
example = np.load('lab2_example.npz', encoding='latin1')['example'].item()
# plt.pcolormesh(example['hmm_obsloglik'].T)
# plt.show()
# (( 4 ))
# example using hmm: probabilities of gaussianans in mixture given samples
hmm_obsloglik = log_multivariate_normal_density(example['mfcc'],
models[0]['hmm']['means'],
models[0]['hmm']['covars'])
print(np.sum(hmm_obsloglik - example['hmm_obsloglik']))
# example using gmm: probabilities of gaussianans in mixture given samples
gmm_obsloglik = log_multivariate_normal_density(example['mfcc'],
models[0]['gmm']['means'],
models[0]['gmm']['covars'])
print(np.sum(gmm_obsloglik - example['gmm_obsloglik']))
# print(tidigits[0].keys())
# print(tidigits[10]['digit'])
# print(models[5]['digit'])
# Utterances and model corresponding to digit 'Four' : probabilities of gaussianans in mixture given samples
# hmm_obsloglik4 = log_multivariate_normal_density(tidigits[10]['mfcc'], models[5]['hmm']['means'],models[5]['hmm']['covars'])
# gmm_obsloglik4 = log_multivariate_normal_density(tidigits[10]['mfcc'], models[5]['gmm']['means'],models[5]['gmm']['covars'])
#
wm_wcereb.set_index(df.index,inplace=True)
wm_wcereb.columns = ['wm_wcereb']
wm_vs_summary = wm_wcereb.merge(summary_wcereb, left_index=True, right_index=True)
# 1D GMM
input_df = summary_wcereb
g_1 = GMM(n_components=2,
covariance_type='full',
tol=1e-6,
n_iter=700,
params='wmc',
init_params='wmc')
g_1.fit(input_df)
# calculate prob, disregard weights
lpr = log_multivariate_normal_density(input_df,g_1.means_,g_1.covars_,g_1.covariance_type)
logprob = logsumexp(lpr,axis=1)
responsibilities = np.exp(lpr - logprob[:, np.newaxis])
probs = pd.DataFrame(responsibilities)
probs.set_index(input_df.index,inplace=True)
probs.columns = ['prob_0','prob_1']
probs.loc[:,'color'] = 'k'
probs.loc[probs.prob_0>=0.90, 'color'] = 'r'
probs.loc[probs.prob_1>=0.90, 'color'] = 'b'
# plot 1D GMM
delta= 0.0001
x = np.arange(0.5, 1.2, delta)
mu_1, sigma_1 = (g_1.means_[0][0],np.sqrt(g_1.covars_[0][0]))
mu_2, sigma_2 = (g_1.means_[1][0],np.sqrt(g_1.covars_[1][0]))
intervals_1 = norm.interval(0.95,loc=mu_1,scale=sigma_1)
intervals_2 = norm.interval(0.95,loc=mu_2,scale=sigma_2)
def _compute_log_likelihood(self, X):
return log_multivariate_normal_density(X, self.means_, self._covars_,
self.covariance_type)
s_val = np.vstack((s_val, (classifier.weights_*temp_val).sum(axis =1)))
x_train = pd.DataFrame(s_train.T)
x_test = pd.DataFrame(s_test.T)
x_val = pd.DataFrame(s_val.T)
x_train = x_train.drop(x_train.columns[[0]],axis = 1)
x_test = x_test.drop(x_test.columns[[0]],axis = 1)
x_val = x_val.drop(x_val.columns[[0]],axis = 1)
return x_train, x_test, x_val
s = classifier.score(X_train.todense())
from sklearn.utils.extmath import logsumexp
from sklearn import mixture
lpr = (mixture.log_multivariate_normal_density(X_train.todense(), classifier.means_, classifier.covars_, classifier.covariance_type) + np.log(classifier.weights_)) # probabilities of components
logprob = logsumexp(lpr, axis=1) # logsum to get probability of GMM
probs = np.exp(logprob) # 0 < probs < 1
p = prior(y_train)
x = x_train + np.log(p)
x = x.astype(float)
z = x
r = logsumexp(d,axis = 1)
d = x.as_matrix()
x['logsum'] = r
z = np.exp(x.subtract(x['logsum'],axis=0).drop('logsum',1))
checkAccuracy(z,y_train)
tw = open(dir_dataset + "topic_sanders_twitter.txt", "r")
for l in tw:
labels.append(l)
i = 0
num_topics = dict()
for tp in set(labels):
num_topics[tp] = i
i = i + 1
labels = [num_topics[x] for x in labels]
words = [w for w, v in model.vocab.items()]
word_vectors = model.syn0
gmm_model = mix.GMM(n_components = k, n_iter = 1000, covariance_type = 'diag')
gmm_model.fit(word_vectors)
log_probs = mix.log_multivariate_normal_density(word_vectors, gmm_model.means_, gmm_model.covars_,
gmm_model.covariance_type)
word_topic = list()
_, num_col = log_probs.shape
for col in range(num_col):
top_n = 10
log_component_probs = (log_probs[:, col]).T
sorted_indexes = np.argsort(log_component_probs)[::-1][:top_n]
ordered_word_probs = [(model.index2word[idx], log_component_probs[idx]) for idx in sorted_indexes]
word_topic.append([model.index2word[idx] for idx in sorted_indexes])
print('---')
print("Topic {0}".format(col + 1))
print("Total prob:" + str(sum(log_component_probs)))
print(", ".join(["{w}: {p}".format(w = w, p = p) for w, p in ordered_word_probs]))
def _compute_log_likelihood(self, obs):
return log_multivariate_normal_density(
obs, self._means_, self._covars_, self._covariance_type)
def adjust(x, mu): means = np.array([mu]) m,n = x.shape covars = 0.01*np.ones((1,n)) p = log_multivariate_normal_density(x, means, covars) return np.sum((p > -0.5 )* 1)
def select(x, mu): means = np.array([mu]) m,n = x.shape covars = 0.01*np.ones((1,n)) p = log_multivariate_normal_density(x, means, covars) return p > -0.5
def normal(x, mu): means = np.array([mu]) m,n = x.shape covars = 0.01*np.ones((1,n)) return log_multivariate_normal_density(x, means, covars)
