def test_forwardS_same_as_old(self):
self.forS.astep(0.)
pS0_Test = self.forS.compute_S0_GIVEN_X0(
self.forS.computeLikelihoodOfS(
self.myTestPoint['X'],
logistic.cdf(self.myTestPoint['B_logodds']),
logistic.cdf(self.myTestPoint['B0_logodds'])))
pS0_Correct = load(open('pS0_Test_data.pkl', 'rb'))
pSnt_Test = np.zeros((self.nObs, self.M))
for n in xrange(self.N):
n0 = self.zeroIndices[n]
for t in xrange(self.T[n] - 1):
pSnt_Test[n0 + t] = self.forS.compute_pSt_GIVEN_St1(
n0, t, self.myTestPoint['S'][n0 + t])
pSnt_Test = pSnt_Test / pSnt_Test.sum(axis=1)[:, np.newaxis]
pSnt_Correct = load(open('pSnt_Test_data.pkl', 'rb'))
pSnt_Correct = np.concatenate(
[pSnt_Correct[i, 0:self.T[i], :] for i in range(self.N)])
pSnt_Correct = pSnt_Correct / pSnt_Correct.sum(axis=1)[:, np.newaxis]
#import pdb; pdb.set_trace()
np.testing.assert_array_almost_equal(pS0_Test,
pS0_Correct,
err_msg="forwardS test off",
decimal=6)
np.testing.assert_array_almost_equal(pSnt_Test,
pSnt_Correct,
err_msg="forwardS test off",
decimal=6)
def sim_t_fixed_data():
n = 10000
np.random.seed(1011)
df = pd.DataFrame()
df['W1'] = np.random.normal(size=n)
df['W2'] = np.random.binomial(1, size=n, p=logistic.cdf(df['W1']))
df['W3'] = np.random.normal(size=n)
df['A'] = np.random.binomial(1,
size=n,
p=logistic.cdf(-1 + 2 * df['W1']**2))
df['Ya1'] = np.random.binomial(
1,
size=n,
p=logistic.cdf(-0.5 + 2 * df['W1']**2 + 0.5 * df['W2'] - 0.5 * 1 +
1.1 * df['W3']))
df['Ya0'] = np.random.binomial(
1,
size=n,
p=logistic.cdf(-0.5 + 2 * df['W1']**2 + 0.5 * df['W2'] +
1.1 * df['W3']))
df['Y'] = np.where(df['A'] == 1, df['Ya1'], df['Ya0'])
df['W1_sq'] = df['W1']**2
df['t'] = 1
df['t0'] = 0
df['id'] = df.index
return df
def train(iterations,confidence): #scratch implementation to train the ANN
no_units=6
no_features=4
W1,b1,W2,b2=init_para(no_units,no_features)
X,y=get_Xy() # X--->train_X , y--->test_y
m=5 #training examples
for i in range(iterations):
Z1 = np.dot(W1, X) + b1 # foreprop begins...
A1 = logistic.cdf(Z1)
Z2 = np.dot(W2, A1) + b2
A2 = logistic.cdf(Z2) # foreprop ends...
log = np.multiply(np.log(A2), y) + np.multiply((1 - y), np.log(1 - A2)) #cross entropy function
cost = -np.sum(log) / float(m) # cost function...
# dA2 = -(y/A2)+((1-y)/(1-A2)) #back prop begins...
dZ2 = A2 - y
dW2 = (np.dot(dZ2, A1.T)) / m
db2 = np.sum(dZ2, axis=1, keepdims=True)
# dA1 = dZ2*(W2)
dZ1 = np.multiply(np.dot(W2.T,dZ2),(1-np.power(A1,2)))
dW1 = (np.dot(dZ1, X.T)) / m
db1 = np.sum(dZ1, axis=1, keepdims=True) # backprop ends...
print (cost)
W1 = W1 - confidence * dW1 # update begins...
b1 = b1 - confidence * db1
W2 = W2 - confidence * dW2
b2 = b2 - confidence * db2 # update ends...
return W1,b1,W2,b2
def statin_dgm_truth(network, pr_a, shift=False, restricted=False):
graph = network.copy()
data = network_to_df(graph)
# Running Data Generating Mechanism for A
if shift: # If a shift in the Odds distribution is instead specified
prob = logistic.cdf(-5.3 + 0.2 * data['L'] + 0.15 * (data['A'] - 30) +
0.4 * np.where(data['R_1'] == 1, 1, 0) +
0.9 * np.where(data['R_2'] == 2, 1, 0) +
1.5 * np.where(data['R_3'] == 3, 1, 0))
odds = probability_to_odds(prob)
pr_a = odds_to_probability(np.exp(np.log(odds) + pr_a))
statin = np.random.binomial(n=1, p=pr_a, size=nx.number_of_nodes(graph))
data['statin'] = statin
if restricted: # removing other observations from the restricted set
attrs = exposure_restrictions(network=network.graph['label'],
exposure='statin')
exclude = list(attrs.keys())
data = data.loc[~data.index.isin(exclude)].copy()
# Running Data Generating Mechanism for Y
pr_y = logistic.cdf(-5.05 - 0.8 * data['statin'] + 0.37 *
(np.sqrt(data['A'] - 39.9)) + 0.75 * data['R'] +
0.75 * data['L'])
cvd = np.random.binomial(n=1, p=pr_y, size=data.shape[0])
return np.mean(cvd)
def sofrygin_observational(graph):
"""Simulates the exposure and outcome according to the mechanisms specified in Sofrygin & van der Laan 2017
A ~ Bernoulli(expit(-1.2 + 1.5*W + 0.6*map(W)))
Y ~ Bernoulli(expit(-2.5 + 1.5*W + 0.5*A + 1.5*map(A) + 1.5*map(W)))
Returns
-------
Network object with node attributes
"""
n = len(graph.nodes())
w = np.array([d['W'] for n, d in graph.nodes(data=True)])
# Calculating map(W), generating A, and adding to network
w_s = exp_map(graph, 'W', measure='sum')
a = np.random.binomial(n=1, p=logistic.cdf(-1.2 + 1.5*w + 0.6*w_s), size=n)
for node in graph.nodes():
graph.node[node]['A'] = a[node]
# Calculating map(A), generating Y, and adding to network
a_s = exp_map(graph, 'A', measure='sum')
y = np.random.binomial(n=1, p=logistic.cdf(-2.5 + 1.5*w + 0.5*a + 1.5*a_s + 1.5*w_s), size=n)
for node in graph.nodes():
graph.node[node]['Y'] = y[node]
return graph
def yardage_distribution_table(yds_increment):
#this creates a 3 dimmensional array that indicates the probability
#an offense gets a certain amount of yard chunks according to the offensive &
#defensive playcalls
global mu_array
mu = mu_array
global s_array
s = s_array
global turnover_array
global d_list
d = d_list
global zero_index
x_shape = np.shape(mu)[0]
y_shape = np.shape(mu)[1]
d_shape = np.shape(d)[0]
table1 = np.empty((x_shape, y_shape, d_shape))
for x in range(np.shape(mu)[0]):
for y in range(np.shape(mu)[1]):
for d_1 in range(np.shape(d)[0]):
table1[x,y,d_1] = (logistic.cdf((yds_increment)*d[d_1]+(yds_increment/2),mu[x,y],s[x,y]) - \
logistic.cdf((yds_increment)*d[d_1]-(yds_increment/2),mu[x,y],s[x,y]))
#the above line rounds yardage gained to the nearest chunk; note
#we are using a logistic fit for this data
normalizing_factor = sum(table1[x, y])
#ensures each table sums to 1 for probabilities sake
table1[x, y] = (table1[x, y] / normalizing_factor)
return table1
def vwma(vals: pd.Series,
mean_alpha: float = 0.125,
verbose: bool = False,
inverse: bool = False):
orig_idx = vals.index
diff_vals = vals / vals.shift(1)
if verbose:
print(diff_vals)
print(len(diff_vals))
diff_vals.dropna(inplace=True)
scaler_std = sk_prep.StandardScaler()
# normal_vol_ewma = vals.ewm(alpha=mean_alpha).std()
# if verbose:
# print(normal_vol_ewma)
normal_vol_ewma = [
v[0] for v in scaler_std.fit_transform(diff_vals.values.reshape(-1, 1))
]
if inverse:
normal_vol_ewma = [1 - logistic.cdf(v) for v in normal_vol_ewma]
else:
normal_vol_ewma = [logistic.cdf(v) for v in normal_vol_ewma]
avg_ewm_factor = mean_alpha / 0.5
alphas = [v * avg_ewm_factor for v in normal_vol_ewma]
alphas = [mean_alpha] + alphas
if verbose:
print('Length of alphas list: ', len(alphas))
print('Length of values list: ', len(vals))
final_data = pd.DataFrame(data=list(zip(vals, alphas)),
columns=['vals', 'alpha'],
index=orig_idx)
cume_alphas = None
last_vwma = None
for idx, val, alpha in final_data.itertuples():
if not cume_alphas:
cume_alphas = mean_alpha
vwma = val
else:
cume_alphas += (alpha * (1 - cume_alphas))
adj_alpha = alpha / cume_alphas
vwma = (val * adj_alpha) + (last_vwma * (1 - adj_alpha))
final_data.at[idx, 'cume_alphas'] = cume_alphas
final_data.at[idx, 'vwma'] = vwma
last_vwma = vwma
# print(val, alpha)
# print(sum(normal_vol_ewma)/len(normal_vol_ewma))
if verbose:
print('==== Head ====')
print(final_data.head(10))
print('==== Tail ====')
print(final_data.tail(10))
print(len(final_data['vwma']))
# final_data.set_index(orig_idx)
return final_data['vwma']
def test_forwardX_same_as_old(self):
Psi = self.forX.computePsi(self.myTestPoint['S'],logistic.cdf(self.myTestPoint['B_logodds']))
LikelihoodOfX = self.forX.computeLikelihoodOfX(self.myTestPoint['X'],self.Z_original,logistic.cdf(self.myTestPoint['L_logodds']))
beta = self.forX.computeBeta(Psi,LikelihoodOfX)
pX_Test = self.forX.computePX(beta,logistic.cdf(self.myTestPoint['B0_logodds']),self.myTestPoint['S'],self.myTestPoint['X'],LikelihoodOfX,Psi)
pX_Test = pX_Test[:,:,0] / (pX_Test[:,:,0]+pX_Test[:,:,1])
pX_Correct = load(open('pX_Test_data.pkl','rb'))
pX_Correct = np.concatenate([pX_Correct[i,0:self.T[i],:,:] for i in range(self.N)])
pX_Correct = pX_Correct[:,:,0] / (pX_Correct[:,:,0]+pX_Correct[:,:,1])
#import pdb; pdb.set_trace()
np.testing.assert_array_almost_equal(pX_Test, pX_Correct, err_msg="forwardX likelihood test off",decimal = 6)
def prediction(self, modfv):
"""For each altMod, multiples its feature vector with featureWeights,
subtracts featureBias, applies sigmoid, returns sum."""
assert len(modfv.sAltMods) == len(modfv.altModFvs)
numSoftMods = 0
for alt in xrange(len(modfv.sAltMods)):
dot = np.asscalar(np.dot(modfv.altModFvs[alt],
self.featureWeights))
numSoftMods += logistic.cdf(dot - self.featureBias)
# 1 - ... because we need to output noncomp confidence.
return (1. - logistic.cdf(numSoftMods / self.numSoftModsScale -
self.numSoftModsBias))
def continuous_data(self):
n = 10000
np.random.seed(1011)
df = pd.DataFrame()
df['W1'] = np.random.normal(size=n)
df['W2'] = np.random.binomial(1, size=n, p=logistic.cdf(df['W1']))
df['W3'] = np.random.normal(size=n)
df['A'] = np.random.binomial(1, size=n, p=logistic.cdf(-1 + 2 * df['W1'] ** 2))
df['Y'] = -0.5 + 2*df['W1'] + 0.5*df['W2'] - 0.5*df['A'] + 1.1*df['W3'] + np.random.normal(size=n)
df['t'] = 1
df['id'] = df.index
return df
def weight_matrix(x_data, y_data, model, phi, s, alpha):
"""
Function to calculate Wmap given the input data and corresponsing labels
Parameters:
x_data - Independent variables
y_data - labels
model - Type of model (logistic, poisson, ordinal)
phi - Threshold values for ordinal regression and empty list for others
s and alpha - Control parameter for the spread of the distribution
Returns:
Wmap for the given data and number of iterations it took to converge
"""
#y_data = y_data.reshape(-1,1)
w = np.zeros((x_data.shape[1], 1))
count = 0
while True:
a = x_data.dot(w)
if model == "logistic":
yi = logistic.cdf(a)
d = y_data - yi
r = yi * (1 - yi)
elif model == "poisson":
yi = np.exp(a)
d = np.subtract(y_data, yi)
r = yi
else:
yi = logistic.cdf(s * (phi - a))
d = [
yi[i][y_data[i]] + yi[i][y_data[i] - 1] - 1
for i in range(len(x_data))
]
d = np.array(d)
r = [
s**2 * ((yi[i][y_data[i]] * (1 - yi[i][y_data[i]])) +
(yi[i][y_data[i] - 1] * (1 - yi[i][y_data[i] - 1])))
for i in range(len(x_data))
]
r = np.array(r)
g = x_data.transpose().dot(d) - (alpha * w)
r = np.diagflat(r)
h_inv = inv(-x_data.transpose().dot(r).dot(x_data) -
(alpha * np.identity(x_data.shape[1])))
w_new = w - h_inv.dot(g)
if np.divide(norm(w_new - w, 2), norm(w, 2)) < 0.001 or count == 100:
break
w = w_new
count += 1
return w_new, count
def naloxone_dgm_truth(network, pr_a, shift=False, restricted=False):
graph = network.copy()
data = network_to_df(graph)
adj_matrix = nx.adjacency_matrix(graph, weight=None)
data['O_sum'] = fast_exp_map(adj_matrix,
np.array(data['O']),
measure='sum')
data['O_mean'] = fast_exp_map(adj_matrix,
np.array(data['O']),
measure='mean')
data['G_sum'] = fast_exp_map(adj_matrix,
np.array(data['G']),
measure='sum')
data['G_mean'] = fast_exp_map(adj_matrix,
np.array(data['G']),
measure='mean')
# Running Data Generating Mechanism for A
if shift: # If a shift in the Odds distribution is instead specified
prob = logistic.cdf(-1.3 - 1.5 * data['P'] +
1.5 * data['P'] * data['G'] +
0.95 * data['O_mean'] + 0.95 * data['G_mean'])
odds = probability_to_odds(prob)
pr_a = odds_to_probability(np.exp(np.log(odds) + pr_a))
naloxone = np.random.binomial(n=1, p=pr_a, size=nx.number_of_nodes(graph))
data['naloxone'] = naloxone
if restricted: # if we are in the restricted scenarios
attrs = exposure_restrictions(network=network.graph['label'],
exposure='naloxone')
data.update(
pd.DataFrame(list(attrs.values()),
index=list(attrs.keys()),
columns=['naloxone']))
exclude = list(attrs.keys())
# Creating network summary variables
data['naloxone_sum'] = fast_exp_map(adj_matrix,
np.array(data['naloxone']),
measure='sum')
# Running Data Generating Mechanism for Y
pr_y = logistic.cdf(-1.1 - 0.2 * data['naloxone_sum'] + 1.7 * data['P'] -
0.9 * data['G'] + 0.75 * data['O_mean'] -
0.75 * data['G_mean'])
overdose = np.random.binomial(n=1, p=pr_y, size=nx.number_of_nodes(graph))
if restricted:
data['overdose'] = overdose
data = data.loc[~data.index.isin(exclude)].copy()
overdose = np.array(data['overdose'])
return np.mean(overdose)
def naloxone_baseline_dgm(graph, number_of_nodes):
"""Simulates baseline variables for the naloxone & overdose data set
G ~ Bernoulli(0.325)
Uc ~ Bernoulli(0.65)
P ~ Bernoulli(expit(B + B*G + B*sum(G)))
O ~ Bernoulli(P==1: 0.1,
P==0: 0.3)
Returns
-------
pandas DataFrame with the distribution of W
"""
# Gender
g = np.random.binomial(
n=1, p=0.325, size=number_of_nodes
) # https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4454335/
for node, value in zip(graph.nodes(), g):
graph.node[node]['G'] = value
g_s = exp_map(graph, 'G', measure='mean')
# Trust in authorities (unobserved variable)
c = np.random.binomial(n=1, p=0.75, size=number_of_nodes)
# Recently released from prison
beta_p = {0: -1.1, 1: 0.5, 2: 0.1} # Beta parameters
mp = logistic.cdf(beta_p[0] + beta_p[1] * g + beta_p[2] * g_s) # model
p = np.random.binomial(
n=1, p=mp, size=number_of_nodes) # Generating values from above
# Prior overdose
beta_o = {0: -1.7, 1: 0.1, 2: 0.1, 3: 0.6} # Beta parameters
mo = logistic.cdf(beta_o[0] + beta_o[1] * g + beta_o[2] * g_s +
beta_o[3] * p) # model
o = np.random.binomial(
n=1, p=mo, size=number_of_nodes) # Generating values from above
# Output W distribution data set
nodes = []
for nod, d in graph.nodes(data=True):
nodes.append(nod)
data = pd.DataFrame()
data['id'] = nodes
data['G'] = g
data['Uc'] = c
data['P'] = p
data['O'] = o
return data
def test_calc_b():
from scipy.stats import logistic
from update_params_linear_regression import calc_b
p_2_new = np.array([1.0, 2.0, 3.0])
p_3 = np.array([2.0, 1.0, 1.0])
m_1 = np.array([2.0, 4.0, 3.0])
v_1 = np.array([1.0, 1.0, 1.0])
v_s = np.array([3.0, 1.0, 2.0])
res = calc_b(p_2_new, p_3, m_1, v_1, v_s)
expected_res = np.array([0.0, 3.5, 2.0 / 3.0]) * logistic.cdf(np.array([3.0, 3.0, 4.0])) + \
np.array([3.0, 15.0, 8.0]) * logistic.cdf(np.array([-3.0, -3.0, -4.0]))
np.testing.assert_array_almost_equal(res, expected_res)
def run(self, x, y):
# N: # of Examples, k: # of features
(N, k) = x.shape
cumu_false = 0.0
cumu_false_negative = 0.0
if self.w is None:
self.w = csc_matrix(np.zeros((k, 1)))
# Start PA
for i in range(N):
if i % 100 == 0:
print('step: ', i)
print('Cumulative Error Rate in this day', cumu_false / (i + 1))
print('Cumulative False Negative Rate in this day', cumu_false_negative / (i + 1))
xi = x[i, :].T
yi = y[i, :][0]
tmp = (self.w.T).dot(xi)
prob_of_positive = logistic.cdf(tmp[0, 0])
predict = 1 if prob_of_positive >= 0.5 else -1
mistake = 1 if (predict != yi) else 0
false_negative = 1 if yi == 1 and mistake else 0
cumu_false += mistake
cumu_false_negative += false_negative
# update w
self.w = self.w + self.gamma * xi * ((yi + 1) / 2 - prob_of_positive)
return (cumu_false, cumu_false_negative)
def label_generator(problem, X, param, difficulty=1, beta=None, important=None):
if important is None or important > X.shape[-1]:
important = X.shape[-1]
dim_latent = sum([important**i for i in range(1, difficulty+1)])
if beta is None:
beta = np.random.normal(size=[1, dim_latent])
important_dims = np.random.choice(X.shape[-1], important, replace=False)
funct_init = lambda inp: np.sum(beta * generate_features(inp[:,important_dims], difficulty), -1)
batch_size = max(100, min(len(X), 10000000//dim_latent))
y_true = np.zeros(len(X))
while True:
try:
for itr in range(int(np.ceil(len(X)/batch_size))):
y_true[itr * batch_size: (itr+1) * batch_size] = funct_init(
X[itr * batch_size: (itr+1) * batch_size])
break
except MemoryError:
batch_size = batch_size//2
mean, std = np.mean(y_true), np.std(y_true)
funct = lambda x: (np.sum(beta * generate_features(
x[:, important_dims], difficulty), -1) - mean) / std
y_true = (y_true - mean)/std
if problem is 'classification':
y_true = logistic.cdf(param * y_true)
y = (np.random.random(X.shape[0]) < y_true).astype(int)
elif problem is 'regression':
y = y_true + param * np.random.normal(size=len(y_true))
else:
raise ValueError('Invalid problem specified!')
return beta, y, y_true, funct
def getProblems(self):
problems = {}
def cycleGen(items, speed):
i = 0
while True:
item = items[i]
for s in range(speed):
yield i, item
i += 1
if i >= len(items):
i = 0
getQuestionDifficulty = cycleGen(self.questionDifficulty, 1)
getQuestionSkill = cycleGen(self.questionSkill, 2)
for pid in range(1, self.questionCount + 1):
questionDifficultyGroup, questionDifficulty = next(
getQuestionDifficulty)
questionSkillGroup, questionSkill = next(getQuestionSkill)
problem = {
'id': pid,
'title': str(pid),
'statement': 'none',
'performance': {},
'difficulty': np.random.normal(questionDifficulty),
'difficultyGroup': questionDifficultyGroup,
'skillGroup': questionSkillGroup
}
problems[pid] = problem
userSkills = np.random.normal(size=(self.userCount,
len(self.questionSkill)))
for u in range(self.userCount):
if self.lambdaSolvedLevels:
groups = self.lambdaSolvedLevels(u)
else:
groups = []
allGroups = list(range(len(self.questionDifficulty)))
shuffle(allGroups)
for group in allGroups:
groups.append(group)
if random() > self.probabilitySolvingNextLevel:
break
for problem in problems.values():
if problem['difficultyGroup'] not in groups:
continue
a = np.random.random()
r = logistic.cdf(userSkills[u, problem['skillGroup']] -
problem['difficulty'])
problem['performance'][u] = 1.0 if a >= r else 0.0
return problems
def RF(self, args): ## Random Forest
logger.info("Running Random Forest... ")
if args.predictor.lower() == 'classifier':
from sklearn.ensemble import RandomForestClassifier as randomforest
rf = randomforest( #n_estimators = 5000,
criterion='entropy', random_state=42)
elif args.predictor.lower() == 'regressor':
from sklearn.ensemble import RandomForestRegressor as randomforest
## Initialize RandomForest
rf = randomforest(n_estimators=5000,
min_samples_leaf=0.12,
criterion='entropy',
warm_start=True,
max_depth=8)
rf.fit(self.X_train, self.y_train)
# Get the predicted values
self.y_pred = rf.predict(self.X_data)
if args.predictor.lower() == 'regressor':
self.y_pred = logistic.cdf(self.y_pred)
self.data['boosting_score'] = self.y_pred
self.model = rf
return self
def predict_proba(self, X):
try:
X = RegressionModel.augment_matrix(X)
proba_y = logistic.cdf(np.matmul(X, self.w_))
return proba_y
except TypeError:
raise RuntimeError("Unfitted model")
def diet_baseline_dgm(graph, number_of_nodes):
"""Simulates baseline variables for the diet & BMI data set
Returns
-------
pandas DataFrame with the distribution of W
"""
# Gender
g = np.random.binomial(n=1, p=0.5, size=number_of_nodes)
# Baseline BMI
b = np.random.lognormal(3.4, sigma=0.2, size=number_of_nodes)
# Exercise
pe = logistic.cdf(
-0.25) # logistic.cdf(-0.25 + 0.3*g + -0.0515*b + 0.001*b*b)
e = np.random.binomial(
n=1, p=pe, size=number_of_nodes) # Generating values from above
# Output W distribution data set
nodes = []
for nod, d in graph.nodes(data=True):
nodes.append(nod)
data = pd.DataFrame()
data['id'] = nodes
data['G'] = g
data['B'] = b
data['E'] = e
return data
def _sigmoid(self, sigmoid_spacing, n_drifts):
"""
Funkcja, która generuje okresowy sigmoid zgodnie z wymaganiami.
"""
period = (
int((self.n_samples) / (n_drifts)) if n_drifts > 0 else int(self.n_samples)
)
css = sigmoid_spacing if sigmoid_spacing is not None else 9999
_probabilities = (
logistic.cdf(
np.concatenate(
[
np.linspace(
-css if i % 2 else css, css if i % 2 else -css, period
)
for i in range(n_drifts)
]
)
)
if n_drifts > 0
else np.ones(self.n_samples)
)
# Szybka naprawa, żeby dało się przepuścić podzielną z resztą liczbę dryfów
probabilities = np.ones(self.n_chunks * self.chunk_size) * _probabilities[-1]
probabilities[: _probabilities.shape[0]] = _probabilities
return (period, probabilities)
def sigmoid(x):
""" Activation function for LSTM gate layers
x: a vector, to pass through the sigmoid, squashing it to the range [0,1]
"""
# Could experiment with more activation functions:
#return np.tanh(x)
return logistic.cdf(x)
def cal_single_user_error(self, r):
err = 0.0
row = self.matrix[r]
poshidprobs = np.zeros(self.numhids)
poshidprobs += self.hidbiaises
for i in range(len(row)):
poshidprobs += self.Wijk[row[i][1] - 1][row[i][0]]
poshidprobs = logistic.cdf(poshidprobs)
#end of positive phase
poshidstates = poshidprobs > np.random.rand(self.numhids)
#print 'poshidstates', np.mean(poshidstates)
for en in self.matrix1[r]:
item = en[0]
pred = en[1]
negdata = np.zeros(self.five)
for tmp in range(self.five):
negdata[tmp] = np.sum(self.Wijk[tmp][item] * poshidstates)
negdata[tmp] += self.visbiaises[tmp][item]
negdata = np.exp(negdata)
sum1 = np.sum(negdata)
negdata /= sum1
tmp = np.zeros(self.five)
for i in range(self.five):
tmp[i] = i + 1
score = np.sum(negdata * tmp)
err += abs(pred - score)
return err
def diet_dgm(network, restricted=False):
"""
Parameters
----------
network:
input network
restricted:
whether to use the restricted treatment assignment
"""
graph = network.copy()
data = network_to_df(graph)
adj_matrix = nx.adjacency_matrix(graph, weight=None)
data['G_mean'] = fast_exp_map(adj_matrix,
np.array(data['G']),
measure='mean')
data['E_mean'] = fast_exp_map(adj_matrix,
np.array(data['E']),
measure='mean')
data['E_sum'] = fast_exp_map(adj_matrix,
np.array(data['E']),
measure='sum')
data['B_mean_dist'] = fast_exp_map(adj_matrix,
np.array(data['B']),
measure='mean_dist')
data['B_mean'] = fast_exp_map(adj_matrix,
np.array(data['B']),
measure='mean')
# Running Data Generating Mechanism for A
pr_a = logistic.cdf(-0.5 + 0.05 * (data['B'] - 30) +
0.25 * data['G'] * data['E'] + 0.05 * data['E_mean'])
diet = np.random.binomial(n=1, p=pr_a, size=nx.number_of_nodes(graph))
data['diet'] = diet
if restricted: # if we are in the restricted scenarios
attrs = exposure_restrictions(network=network.graph['label'],
exposure='diet')
data.update(
pd.DataFrame(list(attrs.values()),
index=list(attrs.keys()),
columns=['diet']))
data['diet_sum'] = fast_exp_map(adj_matrix,
np.array(data['diet']),
measure='sum')
data['diet_t3'] = np.where(data['diet_sum'] > 3, 1, 0)
# Running Data Generating Mechanism for Y
bmi = (3 + data['B'] - 5 * data['diet'] - 5 * data['diet_t3'] +
3 * data['G'] - 3 * data['E'] - 0.5 * data['E_sum'] +
data['B_mean_dist'] +
np.random.normal(0, scale=1, size=nx.number_of_nodes(graph)))
data['bmi'] = bmi
# Adding node information back to graph
for n in graph.nodes():
graph.nodes[n]['diet'] = int(data.loc[data.index == n, 'diet'].values)
graph.nodes[n]['bmi'] = float(data.loc[data.index == n, 'bmi'].values)
return graph
def weightWithDropslop(self, weighted, scale):
'weight the adjacency matrix with the sudden drop of ts for each col'
if weighted:
colWeights = np.multiply(self.tspim.dropslops,
self.tspim.dropfalls)
else:
colWeights = self.tspim.dropslops
if scale == 'logistic':
from scipy.stats import logistic
from sklearn import preprocessing
'zero mean scale'
colWeights = preprocessing.scale(colWeights)
colWeights = logistic.cdf(colWeights)
elif scale == 'linear':
from sklearn import preprocessing
#add a base of suspecious for each edge
colWeights = preprocessing.minmax_scale(colWeights) + 1
elif scale == 'plusone':
colWeights += 1
elif scale == 'log1p':
colWeights = np.log1p(colWeights) + 1
else:
print '[Warning] no scale for the prior weight'
n = self.nV
colDiag = lil_matrix((n, n))
colDiag.setdiag(colWeights)
self.graphr = self.graphr * colDiag.tocsr()
self.graph = self.graphr.tocoo(copy=False)
self.graphc = self.graph.tocsc(copy=False)
print "finished computing weight matrix"
def RF(self, args): ## Random Forest
logger.info("Running Random Forest... ")
if args.predictor.lower() == 'classifier':
from sklearn.ensemble import RandomForestClassifier as randomforest
rf = randomforest(criterion='entropy',
class_weight='balanced',
random_state=42)
elif args.predictor.lower() == 'regressor':
from sklearn.ensemble import RandomForestRegressor as randomforest
## Initialize RandomForest
rf = randomforest(n_estimators=20000,
max_depth=4,
random_state=42,
max_samples=0.6,
n_jobs=-1)
rf.fit(self.X_train, self.y_train)
# Get the predicted values
self.y_pred = rf.predict(self.X_data)
if args.predictor.lower() == 'regressor':
self.y_pred = logistic.cdf(self.y_pred)
self.data['boosting_score'] = self.y_pred
self.model = rf
return self
def run(self, x, y, U):
# N: # of Examples, k: # of features
(N, k) = x.shape
(tmp, kNew) = U.shape
UT = U.T
if self.w is None:
self.w = csc_matrix(np.zeros((kNew, 1)))
# Start PA
for i in range(N):
if i % 100 == 0:
print ('step: ', i)
print ('Cumulative Error Rate', self.cumu_false / self.cumu_data)
print ('Cumulative False Negative Rate', self.cumu_false_negative / self.cumu_data)
xi = x[i, :].T
yi = y[i, :][0]
xiNew = UT.dot(xi)
tmp = (self.w.T).dot(xiNew)
prob_of_positive = logistic.cdf(tmp[0, 0])
predict = 1 if prob_of_positive >= 0.5 else -1
mistake = 1 if (predict != yi) else 0
false_negative = 1 if yi == 1 and mistake else 0
self.cumu_false += mistake
self.cumu_false_negative += false_negative
self.cumu_data += 1
# update w
self.w = self.w + self.gamma * xiNew * ((yi + 1) / 2 - prob_of_positive)
return (self.cumu_false, self.cumu_false_negative, self.w)
def random_data(N=5000, K=3, unobservables=False, **kwargs):
"""
Function that generates data according to one of two simple models that
satisfies the Unconfoundedness assumption.
The covariates and error terms are generated according to
X ~ N(mu, Sigma), epsilon ~ N(0, Gamma).
The counterfactual outcomes are generated by
Y0 = X*beta + epsilon_0,
Y1 = delta + X*(beta+theta) + epsilon_1,
Selection is done according to the following propensity score function:
P(D=1|X) = Lambda(X*beta),
where Lambda is the standard logistic CDF.
Expected args
-------------
N: integer
Number of units to draw. Defaults to 5000.
K: integer
Number of covariates. Defaults to 3.
unobservables: Boolean
Returns potential outcomes and true propensity score
in addition to observed outcome and covariates if True.
Defaults to False.
mu, Sigma, Gamma, beta, delta, theta: NumPy ndarrays
Parameter values appearing in data generating process.
Returns
-------
Tuple (Y, D, X) or (Y, D, X, Y0, Y1), where
Y: N-dimensional array of observed outcomes
D: N-dimensional array of treatment indicator,
with 1=treated, 0=control
X: N-by-K matrix of covariates
Y0: N-dimensional array of non-treated outcomes
Y1: N-dimensional array of treated outcomes
"""
mu = kwargs.get('mu', np.zeros(K))
beta = kwargs.get('beta', np.ones(K))
theta = kwargs.get('theta', np.ones(K))
delta = kwargs.get('delta', 3)
Sigma = kwargs.get('Sigma', np.identity(K))
Gamma = kwargs.get('Gamma', np.identity(2))
X = np.random.multivariate_normal(mean=mu, cov=Sigma, size=N)
Xbeta = X.dot(beta)
pscore = logistic.cdf(Xbeta)
D = np.array([np.random.binomial(1, p, size=1) for p in pscore]).flatten()
epsilon = np.random.multivariate_normal(mean=np.zeros(2), cov=Gamma, size=N)
Y0 = Xbeta + epsilon[:,0]
Y1 = delta + X.dot(beta+theta) + epsilon[:,1]
Y = (1-D)*Y0 + D*Y1
if unobservables:
return Y, D, X, Y0, Y1, pscore
else:
return Y, D, X
def vaccine_baseline_dgm(graph, number_of_nodes):
"""Simulates baseline variables for the vaccine & infection data set
A ~ Bernoulli(0.12)
H ~ Bernoulli(0.65)
Returns
-------
pandas DataFrame with the distribution of W
"""
data = pd.DataFrame()
nodes = []
for nod, d in graph.nodes(data=True):
nodes.append(nod)
data['id'] = nodes
# Asthma
a = np.random.binomial(n=1, p=0.15, size=number_of_nodes)
data['A'] = a
# Hand hygiene
d = np.random.binomial(n=1,
p=logistic.cdf(-0.15 + 0.1 * a),
size=number_of_nodes)
data['H'] = d
# Output W distribution data set
return data
def get_data():
np.random.seed(0)
beta0 = 2
beta = np.array([1] * 10 + [-1] * 10 + [0] * 80)[None, :]
X = np.random.uniform(0, 1, p * n).reshape((p, n))
f_true = logistic.cdf(beta0 + beta @ X)[0]
return X, f_true
def random_data(N=5000, K=3, unobservables=False, **kwargs):
"""
Function that generates data according to one of two simple models that
satisfies the unconfoundedness assumption.
The covariates and error terms are generated according to
X ~ N(mu, Sigma), epsilon ~ N(0, Gamma).
The counterfactual outcomes are generated by
Y0 = X*beta + epsilon_0,
Y1 = delta + X*(beta+theta) + epsilon_1.
Selection is done according to the following propensity score function:
P(D=1|X) = Lambda(X*beta).
Here Lambda is the standard logistic CDF.
Parameters
----------
N: int
Number of units to draw. Defaults to 5000.
K: int
Number of covariates. Defaults to 3.
unobservables: bool
Returns potential outcomes and true propensity score
in addition to observed outcome and covariates if True.
Defaults to False.
mu, Sigma, Gamma, beta, delta, theta: NumPy ndarrays, optional
Parameter values appearing in data generating process.
Returns
-------
tuple
A tuple in the form of (Y, D, X) or (Y, D, X, Y0, Y1) of
observed outcomes, treatment indicators, covariate matrix,
and potential outomces.
"""
mu = kwargs.get('mu', np.zeros(K))
beta = kwargs.get('beta', np.ones(K))
theta = kwargs.get('theta', np.ones(K))
delta = kwargs.get('delta', 3)
Sigma = kwargs.get('Sigma', np.identity(K))
Gamma = kwargs.get('Gamma', np.identity(2))
X = np.random.multivariate_normal(mean=mu, cov=Sigma, size=N)
Xbeta = X.dot(beta)
pscore = logistic.cdf(Xbeta)
D = np.array([np.random.binomial(1, p, size=1) for p in pscore]).flatten()
epsilon = np.random.multivariate_normal(mean=np.zeros(2),
cov=Gamma,
size=N)
Y0 = Xbeta + epsilon[:, 0]
Y1 = delta + X.dot(beta + theta) + epsilon[:, 1]
Y = (1 - D) * Y0 + D * Y1
if unobservables:
return Y, D, X, Y0, Y1, pscore
else:
return Y, D, X
def plot_logistic_fit(models, data, CV_info,num_columns = 2):
num_cv = CV_info.n_folds
num_rows = int(np.ceil(float(num_cv)/float(num_columns)))
fig_temp = plot.subplots(nrows=num_rows, ncols=num_columns)
fig = fig_temp[0]
fig.tight_layout()
axes = fig_temp[1]
cv = 0
#
for train,test in CV_info:
row_n = int(np.ceil(cv/num_columns))
col_n = int(np.mod(float(cv),float(num_columns)))
axes[row_n,col_n].set_title('CV fold %i' % (cv+1))
intercept = models[cv].intercept_
parameters = np.squeeze(np.asarray(models[cv].coef_))
#------------------------------------------------------------------------------
# For plotting data along collapsed dimension
collapsed_x_data = intercept + np.dot(parameters,data[test].transpose())
y_data = models[cv].predict(data[test])
y_data = np.asarray(y_data)
axes[row_n,col_n].scatter(collapsed_x_data,y_data)
#------------------------------------------------------------------------------
# For plotting function
x_func = np.linspace(np.min(collapsed_x_data),np.max(collapsed_x_data),100)
y_func = logistic.cdf(x_func)
axes[row_n,col_n].plot(x_func,y_func)
#------------------------------------------------------------------------------
cv += 1
#------------------------------------------------------------------------------
plot.show()
def SGBoost(self, args): ## Stochastic gradient Boosting
logger.info("Running Stochastic Gradient Boosting ... ")
if args.predictor.lower() == 'classifier':
from sklearn.ensemble import GradientBoostingClassifier as sgbt
elif args.predictor.lower() == 'regressor':
from sklearn.ensemble import GradientBoostingRegressor as sgbt
## Initialize model
sgbt = sgbt(max_depth=6,
subsample= 0.6,
n_estimators = 5000)
## Fit regressor to the training set
sgbt.fit(self.X_train, self.y_train)
## Predict the labels
self.y_pred = sgbt.predict(self.X_data)
if args.predictor.lower() == 'regressor':
self.y_pred = logistic.cdf(self.y_pred)
self.data['boosting_score'] = self.y_pred
self.model = sgbt
return self
def fit(self, X, y, beta=0., max_iter=10000, eps=10e-6):
X, num_features = self.init_params_(X)
n_iter = 0
conv_criterion = True
l_w = LogisticRegression.log_likelihood(
self.eta_, X, y) + beta * np.inner(self.w_, self.w_) / 2
while conv_criterion and n_iter < max_iter:
nabla_l_w = LogisticRegression.grad_log_likelihood(
self.eta_, X, y) + beta * self.w_
Hl_w = LogisticRegression.hess_log_likelihood(
self.eta_, X) + beta * np.eye(num_features + 1)
inv_Hl_w = np.linalg.inv(Hl_w)
self.w_ = self.w_ - np.matmul(inv_Hl_w, nabla_l_w)
n_iter += 1
conv_criterion = l_w
self.eta_ = logistic.cdf(np.matmul(X, self.w_))
l_w = LogisticRegression.log_likelihood(
self.eta_, X, y) + beta * np.inner(self.w_, self.w_) / 2
det_H = np.linalg.det(Hl_w)
conv_criterion = (np.abs(conv_criterion - l_w) >
eps) and (np.abs(det_H) > eps)
def sigmoid(x):
""" Activation function for LSTM gate layers
x: a vector, to pass through the sigmoid, squashing it to the range [0,1]
"""
# Could experiment with more activation functions:
#return np.tanh(x)
return logistic.cdf(x)
def precompute_single_recommendations(self, user, N):
user_ratings_so_far = self.matrix[user]
#positive phase
poshidprobs = np.zeros(self.numhids)
poshidprobs += self.hidbiaises
for i in range(len(user_ratings_so_far)):
poshidprobs += self.Wijk[user_ratings_so_far[i][1] -
1][user_ratings_so_far[i][0]]
poshidprobs = logistic.cdf(poshidprobs)
poshidstates = poshidprobs > np.random.rand(self.numhids)
print np.mean(poshidstates)
#start negative phase
negdata = np.zeros([self.five, self.numdims])
for tmp in range(self.five):
negdata[tmp] = np.dot(self.Wijk[tmp], poshidstates)
negdata[tmp] += self.visbiaises[tmp]
negdata = np.exp(negdata)
sum1 = np.sum(negdata, axis=0)
negdata /= sum1
tmp = np.zeros([self.five, self.numdims])
for i in range(self.five):
tmp[i] = i + 1
score = np.sum(negdata * tmp, axis=0)
self.score[user] = score
print np.mean(score)
for en in user_ratings_so_far:
score[en[0]] = -1
return list(np.argsort(score)[-N:])
def XGBoost(self, args): ## Gradient Boosting
logger.info("Running Gradient Boosting ... ")
if args.predictor.lower() == 'classifier':
from xgboost import XGBClassifier as xgb
elif args.predictor.lower() == 'regressor':
from xgboost import XGBRegressor as xgb
xg_regression_model = xgb(objective='binary:logistic',
n_estimator=20000,
colsample_bytree=0.6,
max_depth=6)
## Fit the regressor to the training set
xg_regression_model.fit(self.X_train, self.y_train)
## Predict the labels
self.y_pred = xg_regression_model.predict(self.X_data)
if args.predictor.lower() == 'regressor':
self.y_pred = logistic.cdf(self.y_pred)
self.data['boosting_score'] = self.y_pred
self.model = xg_regression_model
return self
def diff_to_prob(
differentials,
sigmoid_mean = 0,
sigmoid_slope = .19
):
# Ted's slope is 1/scale
prob = logistic.cdf(differentials,loc=sigmoid_mean,scale=1/sigmoid_slope)
return prob
def test(self, data):
(rows, columns) = data.shape
data = numpy.insert(data, 0, numpy.ones(rows), axis=1)
(rows, columns) = data.shape
y = logistic.cdf(numpy.dot(data,self.w))
pred = numpy.around(y)
return (y, pred)
def train(self):
self.theta = np.random.rand(self.Ndim)
if self.wk_rank == 0:
self.push_vector("theta", self.theta)
self.sync()
for i in range(self.iter_num):
# print('iter: %d' % i)
self.local_theta = np.zeros(self.Ndim)
for x, y in self.train_set:
coef = self.learning_rate * (y - logistic.cdf(np.inner(x, self.theta)))
self.local_theta += (coef * x)
self.push_vector("theta", self.local_theta)
self.sync()
self.theta = self.pull_vector("theta")
if self.wk_rank == 0:
print(self.theta)
def forward(x0, w):
""" NN forward propagation algorithm.
Inputs (x0, w):
x0: Network input values
w: Tuple of weights, one for each layer
Outputs (zL, xl_list):
zL: Output neuron discriminative function (NOT passed through sigmoid)
xl_list: list of activation values for each layer (YES passed through sigmoids)
"""
xl = x0
xl_list = [xl]
for wl in w:
zl = np.dot(wl, xl)
xl = logistic.cdf(zl)
xl_list.append(xl)
return np.asscalar(zl), xl_list
def get_hull(x, y, n_bins):
bins = np.linspace(-5., 5., n_bins)
bins = logistic.cdf(bins) * (2) - 1
bins = np.linspace(x.min(), x.max(), n_bins)
down_hull = np.zeros((n_bins-1, ))
up_hull = np.zeros((n_bins-1, ))
x_hull = np.zeros((n_bins-1, ))
for i in range(n_bins-1):
down, up = bins[i], bins[i+1]
bin_ids = (x >= down) & (x < up)
down_id = y[bin_ids].argmin()
up_id = y[bin_ids].argmax()
down_hull[i] = y[bin_ids][down_id]
up_hull[i] = y[bin_ids][up_id]
x_hull[i] = x[bin_ids][down_id]
x_hull = bins[:-1] + (bins[1] - bins[0])/2
return x_hull, down_hull, up_hull
def calc_log_evidence(m, v_2, sigma_0, X, y, m_1, v_1, m_2, v, p, p_3, p_2, v_s, bias):
## TODO: Calculate properly with the bias!!
sigma_0_inv = 1. / sigma_0
V_2 = np.diag(v_2)
v_2_inv = 1. / v_2
V_2_inv = np.diag(v_2_inv)
v_1_inv = 1. / v_1
v_inv = 1. / v
m_1_s_v_1 = np.multiply(m_1 ** 2, v_1_inv)
m_2_s_v_2 = np.multiply(m_2 ** 2, v_2_inv)
m_s_v = np.multiply(m ** 2, v_inv)
n, d = X.shape
try:
alpha = scipy.linalg.det(np.identity(d) + sigma_0_inv * np.dot(V_2, np.dot(X.T, X)))
except ValueError:
import ipdb;
ipdb.set_trace()
cdf_p3 = log.cdf(p_3)
cdf_m_p3 = log.cdf(-p_3)
cdf_p2 = log.cdf(p_2)
cdf_m_p2 = log.cdf(-p_2)
# import ipdb; ipdb.set_trace()
c = cdf_p3 * norm.pdf(0, m_1[:d - bias], np.sqrt(v_1 + v_s)[: d - bias]) + \
cdf_m_p3 * norm.pdf(0, m_1[: d - bias], np.sqrt(v_1)[: d - bias])
c[np.where(c == 0)[0]] = 0.0000000001
log_s1 = 0.5 * (np.dot(m.T, np.dot(V_2_inv, m_2) + sigma_0_inv * np.dot(X.T, y)) -
n * np.log(2 * np.pi * sigma_0) - sigma_0_inv * np.dot(y.T, y) -
np.dot(m_2.T, np.dot(V_2_inv, m_2)) - np.log(alpha) +
np.sum(np.log(1. + np.multiply(v_2, v_1_inv)) + m_1_s_v_1 + m_2_s_v_2 - m_s_v))
# import ipdb; ipdb.set_trace()
log_s2 = 0.5 * np.sum(2. * np.log(c) + np.log(1. + np.multiply(v_1, v_2_inv)[: d - bias]) +
m_1_s_v_1[: d - bias] + m_2_s_v_2[: d - bias] - m_s_v[: d - bias] +
2. * np.log(log.cdf(p) * cdf_m_p3 + log.cdf(-p) * cdf_p3)
- 2. * np.log(cdf_m_p3 * cdf_p3))
res = log_s1 + log_s2 + 0.5 * d * np.log(2. * np.pi) + \
0.5 * np.sum(np.log(v) + m_s_v - m_1_s_v_1 - m_2_s_v_2) + \
np.sum(np.log(np.multiply(cdf_p2, cdf_p3) + np.multiply(cdf_m_p2, cdf_m_p3)))
if np.isinf(res) or np.isnan(res):
import ipdb;
ipdb.set_trace()
return res
def train(self, data, target, lamda, iterations, tolerance, learning_rate):
(rows, columns) = data.shape
data = numpy.insert(data, 0, numpy.ones(rows), axis=1)
(rows, columns) = data.shape
self.w = numpy.zeros(columns)
ew_old = -numpy.inf
for i in range(iterations):
yx = numpy.dot(data, self.w)
s = logistic.cdf(yx)
ew = (target*numpy.log(s) + (1-target)*numpy.log(1-s)).sum() - (0.5*lamda)*(numpy.matmul(numpy.transpose(self.w), self.w))
print('Iteration: {}, Cost function: {}'.format(i, ew));
if abs(ew - ew_old) < tolerance:
break;
gradient = numpy.matmul(numpy.transpose(data), target-s) - lamda*self.w
self.w = self.w + learning_rate*gradient
ew_old = ew
def calc_b(p_2_new, p_3, m_1, v_1, v_s):
tmp_1 = logistic.cdf(p_2_new + p_3) * (m_1 ** 2 - v_1 - v_s) / (v_1 + v_s) ** 2
tmp_2 = logistic.cdf(- p_2_new - p_3) * (m_1 ** 2 * v_1 ** -2 - 1.0 / v_1)
return tmp_1 + tmp_2
def sigmoid(value):
return logistic.cdf(value)
def test_forwardS_same_as_old(self):
self.forS.astep(0.)
pS0_Test = self.forS.compute_S0_GIVEN_X0(self.forS.computeLikelihoodOfS(self.myTestPoint['X'],logistic.cdf(self.myTestPoint['B_logodds']),logistic.cdf(self.myTestPoint['B0_logodds'])))
pS0_Correct = load(open('pS0_Test_data.pkl', 'rb'))
pSnt_Test = np.zeros((self.nObs,self.M))
for n in xrange(self.N):
n0 = self.zeroIndices[n]
for t in xrange(self.T[n]-1):
pSnt_Test[n0+t] = self.forS.compute_pSt_GIVEN_St1(n0,t,self.myTestPoint['S'][n0+t])
pSnt_Test = pSnt_Test / pSnt_Test.sum(axis=1)[:,np.newaxis]
pSnt_Correct = load(open('pSnt_Test_data.pkl', 'rb'))
pSnt_Correct = np.concatenate([pSnt_Correct[i,0:self.T[i],:] for i in range(self.N)])
pSnt_Correct = pSnt_Correct / pSnt_Correct.sum(axis=1)[:,np.newaxis]
#import pdb; pdb.set_trace()
np.testing.assert_array_almost_equal(pS0_Test, pS0_Correct, err_msg="forwardS test off",decimal = 6)
np.testing.assert_array_almost_equal(pSnt_Test, pSnt_Correct, err_msg="forwardS test off",decimal = 6)
def sigmoid(z):
"""# Notice that z can be a scalar, a vector or a matrix
# return the sigmoid of input z"""
return logistic.cdf(z)#your code here
def __init__(self, num_features, num_output=1, hidden_layer=None,
activation=("expit", 1), learn_rate=1, default_bias="random",
max_epochs=10, scale=1, verbose=False, temperature=1,
online=True):
"""Constructor for the NeuralNet class.
num_features: The number of features that each sample has. This will
equal the number of neurons in the input layer.
num_output: The number of output labels each sample has. This will
equal the number of neurons in the output layer.
hidden_layer: A list containing the number of nodes in the (i+1)th
hidden layer (for i starting at 0). If set to None (default
value), then the neural network will have one hidden
layer with num_features * 1.5 hidden nodes.
activation: The default activation function to use in each neuron.
Default is the inverse logistic function with
temperature = 1:
s(x) = 1/(1 + e^(-x)).
This uses scipy for optimization purposes.
learn_rate: The learning rate applied to the training process. Default
value is 1.
default_bias: The default weight assigned to the weight vector. Default
value is random, uniformly between (-scale, scale).
max_epochs: The max number of iterations on the training set. Default
value is 10.
scale: Determines the range of random values for the initial
weights of the model. The value of the weights will range
from (-scale, scale). For example, if scale=2, then the
initial weights can range from (-scale, scale). Default
value is 1.
verbose: Used to see how fast the neural network is being trained.
Indicates when an epoch has finished.
online: Indicates that the weights should be updated
for every training example.
"""
self.verbose = verbose
self.num_features = num_features
self.num_output = num_output
self.hidden_layer = hidden_layer
self.learn_rate = learn_rate
self.default_bias = default_bias
self.max_epochs = max_epochs
self.scale = scale
self.online = online
# NOTE: There is no proven evidence that the ideal number of
# nodes in the hidden layer is 1.5, but it is suggested. Citation needed.
if self.hidden_layer is None:
num_nodes = int(math.floor(num_features * 1.5))
self.hidden_layer = [num_nodes]
# TODO: Address this.
if len(self.hidden_layer) > 1:
raise NotImplementedError(one_line("""Neural network containing
more than one hidden layer has not been implemented yet."""))
# TODO: Address this.
if self.num_output != 1:
raise NotImplementedError(one_line("""Neural network containing more
than one output label has not been implemented yet."""))
# Assign activation function here, depending on the argument.
if activation[0] == "expit":
temp = activation[1]
# This is just an optimization using scipy
if temp == 1:
self.default_act = expit
self.default_deriv = np.vectorize(lambda x: x * (1 - x))
else:
self.default_act = lambda x: logistic.cdf(x, scale=temp)
self.default_deriv = np.vectorize(lambda x: temp * x * (1 - x))
# elif activation[0] == "tanh":
# if activation[1] != 1: print(one_line("""Warning: other temperatures
# for the tanh activation function have not been implemented."""))
# self.default_act = lambda x: 2 * expit(x) - 1
# self.default_deriv = np.vectorize(lambda x: 2 * x * (1 - x))
else:
raise NotImplementedError(one_line("""Activation function not
supported yet: {0}""".format(activation)))
self.init_weights()
import os
from scipy.stats import logistic
flag = "prod"
conf = Config(flag, "prod" , 300)
model = np.load(conf.path_model_npy + ".npy")
word_embed = model[0]
prod_embed = model[1]
transfer_w = model[2]
transfer_b = model[3]
dp = DataProvider(conf)
weight = np.dot(word_embed, transfer_w)
weight = logistic.cdf(np.add(weight, transfer_b))
for topic_id in range(conf.dim_item):
word_ids = weight[:,topic_id]
word_ids = np.argsort(word_ids)[::-1][:50]
words = [(dp.idx2word[word_id], weight[word_id, topic_id]) for word_id in word_ids if weight[word_id, topic_id] > .9]
print("Topic", topic_id)
print(words)
print("=========================\n")
print("finish")
def sigmoid(x):
return logistic.cdf(x)
import numpy as np
import matplotlib.pyplot as plt
from scipy.stats import logistic
from sat_exp import saturating_exp
F = lambda x, (a,b,l): 0.5 + (1-0.5-l)*logistic.cdf(x, loc=a, scale=b)
Finv = lambda thresh_val, (a,b,l): logistic.ppf((thresh_val - 0.5)/(1-0.5-l), loc=a, scale=b)
def color_list(n, cmap=None):
cm = plt.get_cmap("RdYlGn" if cmap is None else cmap)
colors = [cm(i) for i in np.linspace(0, 1, n)]
return colors*(n/len(colors)) + colors[:n%len(colors)]
def plot_pmf(cohs, pcor, res):
cmap = color_list(len(res)+1, 'cool')
xs = np.array(cohs)
xsf = np.linspace(min(xs), max(xs), 50)
for i, (theta, thresh) in enumerate(res):
plt.scatter(cohs, pcor[i, :]/100.0, color=cmap[i])
plt.plot(xsf, F(xsf, theta), color=cmap[i], linestyle='-')
plt.xlim([0.01, None])
plt.ylim([0.45, 1.05])
plt.xscale('log')
plt.xlabel('signal strength')
plt.ylabel('accuracy')
plt.show()
def plot_pmf_thresh(reses):
cmap = color_list(len(reses)+1, 'Greens')
for i, res in enumerate(reses):
durs = np.arange(1, len(res)+1)
filename = "skeletons & matching cropped pics/cropped pics/v018-penn.9-1uB2D2-cropm.png"
img = io.imread(filename)
img = (img - np.mean(img)) / np.std(img)
sigma = .75
Hxx, Hxy, Hyy = hessian_matrix(img, sigma=sigma, mode="wrap")
e1, e2 = hessian_matrix_eigvals(Hxx, Hxy, Hyy)
# How much bigger is the first eigenvalue's magnitude
# compared with the second?
log_condition = np.log(abs(e1/e2))
log_condition = log_condition / np.std(log_condition)
out = logistic.cdf(log_condition)
markers = np.zeros_like(out)
markers[out < 0] = 1
markers[out > np.percentile(out, 90)] = 2
plt.imshow(out)
plt.set_cmap('binary')
plt.colorbar()
plt.show()
def trainProx(wRows, wData, n, b, X, y, eta, l1, l2, outputFreq):
nr,nc = X.shape
nl = y.shape[1]
assert y.shape[0] == nr
assert b.size == nl
if useAdaGrad:
if useSharedStep:
assert n.size == nc
else:
assert n.shape == (nc,nl)
# vector of time step at which each coordinate is up-to-date
tVec = np.zeros(nc, dtype=np.int64)
onlineLoss = 0
totalOnlineLoss = 0
subEpoch = 0
for t in range(nr):
if t % 100 == 0:
print "training row: " + str(t)
(row, xInds, xVals) = getSample(X, t)
if xInds.size == 0:
continue
# 1. Lazily update relevant rows of w, storing them in tempW
totalNnzW = sum(wRows[xInd].size for xInd in xInds)
tempW = np.ndarray(totalNnzW)
kVec = np.ndarray(totalNnzW, dtype=np.int64)
if useAdaGrad:
etaVec = np.ndarray(totalNnzW)
else:
etaVec = eta
pos = 0
for xInd in xInds:
numW = wRows[xInd].size
endPos = pos+numW
kVec[pos:endPos] = t - tVec[xInd]
if useAdaGrad:
if useSharedStep:
etaVec[pos:endPos] = eta / (1 + math.sqrt(n[xInd]))
else:
etaVec[pos:endPos] = eta / (1 + np.sqrt(n[xInd,wRows[xInd]]))
tempW[pos:endPos] = wData[xInd]
pos = endPos
tempW = iteratedProx(tempW, kVec, l1*etaVec, l2*etaVec)
tVec[xInds] = t
# 2. Compute scores
scores = b.copy()
pos = 0
for (xInd, xVal) in zip(xInds, xVals):
numW = wRows[xInd].size
endPos = pos+numW
scores[wRows[xInd]] += tempW[pos:endPos] * xVal
pos = endPos
# 3. Compute loss and subtract labels from (transformed) scores for gradient
(startY, endY) = y.indptr[row], y.indptr[row+1]
yCols = y.indices[startY:endY]
yVals = y.data[startY:endY]
if useSqErr:
# linear probability model
# quadratic loss for incorrect prediction, no penalty for invalid (out of range) correct prediction
scores[yCols] = yVals - scores[yCols]
scores = np.clip(scores, 0, np.inf)
scores[yCols] *= -1
loss = 0.5 * np.dot(scores, scores)
onlineLoss += loss
totalOnlineLoss += loss
else:
pos = logistic.logcdf(scores)
neg = logistic.logcdf(-scores)
pos -= neg
scores = logistic.cdf(scores)
loss = -np.dot(pos[yCols], yVals)-neg.sum()
scores[yCols] -= yVals
onlineLoss += loss
totalOnlineLoss += loss
# 4. Compute gradient as outer product
# this will be dense in general, unfortunately
g = np.outer(xVals, scores)
# 5. Compute updated point (store it in g)
if useAdaGrad:
if useSharedStep:
n[xInds] += np.square(g).sum(1)
etaVec = np.tile(eta/(1+np.sqrt(n[xInds])), (nl,1)).T
else:
n[xInds,:] += np.square(g)
etaVec = eta/(1+np.sqrt(n[xInds,:]))
else:
etaVec = eta
g *= -etaVec
pos = 0
for xI in range(xInds.size):
xInd = xInds[xI]
numW = wRows[xInd].size
endPos = pos+numW
g[xI,wRows[xInd]] += tempW[pos:endPos]
pos = endPos
# 6. Sparsify updated point and store it back to W
# now g holds dense (over labels) W - eta*g
reassignToConvertedW(wRows, wData, xInds, g)
# Print output periodically
if (t+1) % outputFreq == 0:
bringAllUpToDate(wRows, wData, tVec, t+1)
tVec = np.tile(t+1, nc)
printOutputLine(subEpoch, wRows, wData, b, testX, testY, l1, l2, onlineLoss / outputFreq)
subEpoch += 1
onlineLoss = 0
# print output for whole epoch
if nr % outputFreq != 0: # otherwise we are already up to date
bringAllUpToDate(wRows, wData, tVec, nr)
printOutputLine("*", wRows, wData, b, testX, testY, l1, l2, totalOnlineLoss / nr)
print
def _make_weight(year):
scaled = 2*(year-YEARS[0]) / (YEARS[-1] - YEARS[0]) - 1
scaled *= -4
return logistic.cdf(scaled)
def calc_a(p_2_new, p_3, m_1, v_1, v_s):
tmp_1 = logistic.cdf(p_2_new + p_3) * m_1 / (v_1 + v_s)
tmp_2 = logistic.cdf(-p_2_new - p_3) * m_1 / v_1
return tmp_1 + tmp_2
def sigmoid(self):
return FeatureObj(logistic.cdf(self.v), True) # TODO pay attention to rounding errors
#!/usr/bin/env python3 # -*- coding: utf-8 -*- """ Created on Fri Dec 15 15:16:27 2017 @author: michellezhao """ from scipy.stats import logistic import matplotlib.pyplot as plt import numpy as np fig, ax = plt.subplots(1,1) x = np.linspace(0,50) ax.plot(x, logistic.cdf(x, loc = 3, scale = 1), 'r-', lw=5, alpha=0.6, label= 'gompertz cdf') plt.show()
