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import numpy as np | |
from aif360.algorithms.inprocessing.celisMeta.General import General | |
class StatisticalRate(General): | |
def getExpectedGrad(self, dist, a, b, params, samples, mu, z_prior): | |
l_1, l_2 = params | |
t, c_1, c_2 = self.getValueForX(dist, a, b, params, z_prior, samples, | |
return_cs=True) | |
t1 = t * c_1/np.sqrt(t**2 + mu**2) | |
t2 = t * c_2/np.sqrt(t**2 + mu**2) | |
exp1 = np.mean(t1) | |
exp2 = np.mean(t2) | |
dl1 = exp1 - b + (b-a)/2 + (b-a)*l_1 / (2*np.sqrt(l_1**2 + mu**2)) | |
dl2 = exp2 - b + (b-a)/2 + (b-a)*l_2 / (2*np.sqrt(l_2**2 + mu**2)) | |
return dl1, dl2 | |
def getValueForX(self, dist, a, b, params, z_prior, x, return_cs=False): | |
l_1, l_2 = params | |
z_0, z_1 = 1-z_prior, z_prior | |
pos = np.ones(len(x)) | |
prob_1_1 = self.prob(dist, np.c_[x, pos, pos]) | |
prob_m1_1 = self.prob(dist, np.c_[x, -pos, pos]) | |
prob_1_0 = self.prob(dist, np.c_[x, pos, np.zeros(len(x))]) | |
prob_m1_0 = self.prob(dist, np.c_[x, -pos, np.zeros(len(x))]) | |
total = prob_1_1 + prob_1_0 + prob_m1_0 + prob_m1_1 | |
# if total == 0: | |
# return 0 | |
prob_y_1 = (prob_1_1 + prob_1_0) / total | |
prob_z_0 = (prob_m1_0 + prob_1_0) / total | |
prob_z_1 = (prob_m1_1 + prob_1_1) / total | |
c_0 = prob_y_1 - 0.5 | |
c_1 = prob_z_0 / z_0 | |
c_2 = prob_z_1 / z_1 | |
t = c_0 + c_1*l_1 + c_2*l_2 | |
if return_cs: | |
return t, c_1, c_2 | |
else: | |
return t | |
def getFuncValue(self, dist, a, b, params, samples, z_prior): | |
l_1, l_2 = params | |
exp = np.mean(np.abs(self.getValueForX(dist, a, b, params, z_prior, | |
samples))) | |
result = exp - b*l_1 - b*l_2 | |
if l_1 > 0: | |
result += (b-a)*l_1 | |
if l_2 > 0: | |
result += (b-a)*l_2 | |
return result | |
def num_params(self): | |
return 2 | |
def init_params(self, i): | |
return [i-5] * self.num_params | |
def gamma(self, y_true, y_pred, sens): | |
pos_0 = np.mean(y_pred[sens == 0] == 1) | |
pos_1 = np.mean(y_pred[sens == 1] == 1) | |
if pos_0 == 0 or pos_1 == 0: | |
return 0 | |
return min(pos_0/pos_1, pos_1/pos_0) | |