def test_TauEstimator_alone():
for i in range(2, TESTING_ITERATIONS):
# tests all regularizations
for reg in (lp.Tikhonov(), lp.Lasso()):
# tests all loss functions
for loss in LOSS_FUNCTIONS:
# intiates random inputs
lamb = randint(0, 20)
c1 = np.random.uniform(0.1, 5)
c2 = np.random.uniform(0.1, 5)
# clippings are randomly chosen between a random number or None with predominance for number
clipping_1 = random.choice([c1, c1, c1, None])
clipping_2 = random.choice([c2, c2, c2, None])
# creates a tau instance
tau_estimator = lp.TauEstimator(
loss_function=loss,
regularization=reg,
lamb=lamb,
clipping_1=clipping_1,
clipping_2=clipping_2
) # creates a tau-estimator with each of the loss functions
# random (A,y) tuple with i rows and A has a random number of columns between i and i+100
tau_estimator.estimate(
# A=np.random.rand(i, i + randint(0, 100)),
a=np.random.rand(i, i + randint(0, 100)),
y=np.random.rand(i).reshape(-1))
def test_score_function_is_odd():
for loss in LOSS_FUNCTIONS:
my_tau = lp.TauEstimator(loss_function=loss)
# print 'loss = ', loss
for i in range(2, TESTING_ITERATIONS):
# generates a random vector of size i with negative and positive values
y = np.random.randn(100)
score = my_tau.score_function(y)
# print y, score
for i in range(0, score.__len__()):
assert np.sign(score[i]) == np.sign(y[i])
def test_tau_scale():
for i in range(2, TESTING_ITERATIONS):
# generates random clipping between 0.1 and 5
clipping_1 = np.random.uniform(0.1, 5)
clipping_2 = np.random.uniform(0.1, 5)
# generates a random vector of size between 0 and 100
x = np.random.rand(randint(1, 100))
my_tau = lp.TauEstimator(loss_function=lp.Optimal,
clipping_1=clipping_1,
clipping_2=clipping_2)
linvpy_t = my_tau.tau_scale(x)
util_t = util_l.tauscale(x,
lossfunction='optimal',
b=0.5,
clipping=(clipping_1, clipping_2))
np.testing.assert_allclose(linvpy_t, util_t)
def test_scorefunction():
for i in range(2, TESTING_ITERATIONS):
# CLIPPINGS = two random numbers between 0.1 and 5
CLIPPINGS = (np.random.uniform(0.1, 5), np.random.uniform(0.1, 5))
# creates an instance of tau estimator with the two random clippings
tau = lp.TauEstimator(clipping_1=CLIPPINGS[0],
clipping_2=CLIPPINGS[1],
loss_function=lp.Optimal)
# y = random vector of size between 0 and 100
y = np.random.rand(randint(1, 100))
# toolbox's scorefunction
score_util = util.scorefunction(np.asarray(y), 'tau', CLIPPINGS)
# linvpy's scorefunction
score_lp = tau.score_function(y)
# returns an error if the toolbox's scorefunction and lp's scorefunction are not equal
np.testing.assert_allclose(score_lp, score_util)
def test_mscale():
for i in range(2, TESTING_ITERATIONS):
# generates a random clipping between 0.1 and 5
CLIPPING = np.random.uniform(0.1, 5)
# creates an instance of TauEstimator
tau = lp.TauEstimator(clipping_1=CLIPPING,
clipping_2=CLIPPING,
loss_function=lp.Optimal)
# generates a random vector of size between 0 and 100
y = np.random.rand(randint(1, 100))
# computes the mscale for linvpy and toolbox
linvpy_scale = tau.m_scale(y)
toolbox_scale = util.mscaleestimator(u=y,
tolerance=1e-5,
b=0.5,
clipping=CLIPPING,
kind='optimal')
# verifies that both results are the same
assert toolbox_scale == linvpy_scale
def test_TauEstimator_VS_Marta():
for i in range(2, TESTING_ITERATIONS):
# generates random clipping between 0.1 and 5
clipping_1 = np.random.uniform(0.1, 5)
clipping_2 = np.random.uniform(0.1, 5)
# generates a random n_initial_x
n_initial_x = 1
# generates a random matrix of size i x i + random(0,100)
A = np.random.rand(i, i + randint(0, 10))
# generates a random vector of size i
y = np.random.rand(i)
my_tau = lp.TauEstimator(loss_function=lp.Optimal,
clipping_1=clipping_1,
clipping_2=clipping_2)
linvpy_output = my_tau.estimate(a=A, y=y)
marta_t = lp_l.basictau(a=A,
y=np.matrix(y),
loss_function='optimal',
b=0.5,
clipping=(clipping_1, clipping_2),
ninitialx=n_initial_x)
# print 'LinvPy Tau result = ', linvpy_output
# print 'Marta Tau result = ', marta_t
# print '========================'
# print '========================'
# print '========================'
# print '========================'
# asserts xhat are the same
np.testing.assert_allclose(linvpy_output[0].reshape(-1, 1), marta_t[0])
return vfunc(array)
# Define your psi function as the derivative of the rho function : you can
# copy paste this and just change what's inside the unit_rho
def psi(self, array):
# rho function of your loss function on ONE single element
def unit_psi(element):
# Simply return the clipping for example
return 1
# Vectorize the function
vfunc = np.vectorize(unit_psi)
return vfunc(array)
custom_tau = lp.TauEstimator(loss_function=CustomLoss)
print custom_tau.estimate(a, y)
# Define your own regularization
class CustomRegularization(lp.Regularization):
pass
# Define your regularization function here
def regularize(self, a, y, lamb=0):
return np.ones(a.shape[1])
# Create your custom tau estimator with custom loss and regularization functions
# Pay attenation to pass the loss function as a REFERENCE (without the "()"
# after the name, and the regularization as an OBJECT, i.e. with the "()").
def cover_fast_tau():
my_tau = lp.TauEstimator()
A = np.matrix([[2, 2], [3, 4], [7, 6]])
y = np.array([1, 4, 3])
my_tau.fast_estimate(A, y)