def create_bernouilli(self, m):
"""
Create a random direction to estimate the stochastic gradient.
We use a Bernouilli distribution : bernouilli = (+1,+1,-1,+1,-1,.....)
"""
bernouilli = copy.deepcopy(m)
for (name, value) in m.items():
bernouilli[name]['value'] = 1 if random.randint(0, 1) else -1
g = utils.norm2(self.previous_gradient)
d = utils.norm2(bernouilli)
if g > 0.00001:
bernouilli = utils.linear_combinaison(0.55, bernouilli,
0.25 * d / g,
self.previous_gradient)
for (name, value) in m.items():
if bernouilli[name]['value'] == 0.0:
bernouilli[name][value] = 0.2
if abs(bernouilli[name]['value']) < 0.2:
bernouilli[name]['value'] = 0.2 * utils.sign_of(
bernouilli[name]['value'])
return bernouilli
def __call__(self, L, P, psf_only=False):
# compute
utils.convolve2d(L, P, output=self._J)
utils.dx(self._J, output=self._dxJ)
utils.dy(self._J, output=self._dyJ)
utils.dx(L, output=self._dxL)
utils.dy(L, output=self._dyL)
utils.dx_b(self._dxJ, output=self._dxxJ)
utils.dy_b(self._dyJ, output=self._dyyJ)
utils.dx_b(self._dyJ, output=self._dxyJ)
# enegery for data compatibility
R = self._J - self.I0
dxR = self._dxJ - self._dxI0
dyR = self._dyJ - self._dyI0
dxxR = self._dxxJ - self._dxxI0
dyyR = self._dyyJ - self._dyyI0
dxyR = self._dxyJ - self._dxyI0
E = self.w0 * utils.norm2(R)
E += self.w1 * utils.norm2(dxR)
E += self.w1 * utils.norm2(dyR)
#~ E += self.w2 * utils.norm2(dxxR)
#~ E += self.w2 * utils.norm2(dyyR)
#~ E += self.w2 * utils.norm2(dxyR)
if not psf_only:
# energy for global prior
E += self.lambda1 * utils.global_prior(self._dxL, self.a, self.b)
E += self.lambda1 * utils.global_prior(self._dyL, self.a, self.b)
# energy for local prior
E += self.lambda2 * utils.local_prior(self._dxL, self._dxI0, self.M)
E += self.lambda2 * utils.local_prior(self._dyL, self._dyI0, self.M)
return E/self.I0.size
def point_line_segment_distances2(points, linesA, linesB):
n_p = points.shape[0]
n_l = linesA.shape[0]
dir_line = utils.normalize(linesB - linesA).unsqueeze(0).expand(
n_p, -1, -1)
vecA = points.unsqueeze(1).expand(
-1, n_l, -1) - linesA.unsqueeze(0).expand(n_p, -1, -1)
vecB = points.unsqueeze(1).expand(
-1, n_l, -1) - linesB.unsqueeze(0).expand(n_p, -1, -1)
# Distances to first endpoint
dists2 = utils.norm2(vecA)
# Distances to second endpoint
dists2 = torch.min(dists2, utils.norm2(vecB))
# Points within segment
in_line = (utils.dot(dir_line, vecA) > 0) & (utils.dot(dir_line, vecB) < 0)
# Distances to line
line_dists2 = utils.norm2(
utils.project_to_tangent(vecA[in_line], dir_line[in_line]))
dists2[in_line] = line_dists2
return dists2
def __init__(self, origin=[0, 0, 0], u=[1, 0, 0], v=[0, 1, 0], w=[0, 0, 1], direction=1):
self.origin = toArray3(origin)
self.u = toArray3(u)
self.v = toArray3(v)
self.w = toArray3(w)
self.nw = Utils.norm2(numpy.cross(self.u, self.v))
self.nu = Utils.norm2(numpy.cross(self.v, self.w))
self.nv = Utils.norm2(numpy.cross(self.w, self.u))
def grad_l2(beta, rng=RandomUniform(0, 1)):
"""Sub-gradient of the function
f(x) = |x|_2,
where |x|_2 is the L2-norm.
"""
norm_beta = norm2(beta)
if norm_beta > TOLERANCE:
return beta * (1.0 / norm_beta)
else:
D = beta.shape[0]
u = (rng(D, 1) * 2.0) - 1.0 # [-1, 1]^D
norm_u = norm2(u)
a = rng() # [0, 1]
return u * (a / norm_u)
def grad(self, x):
"""Sub-gradient of the function
f(x) = |x|_2,
where |x|_2 is the L2-norm.
"""
norm_beta = norm2(x)
if norm_beta > TOLERANCE:
return x * (1.0 / norm_beta)
else:
D = x.shape[0]
u = (self.rng(D, 1) * 2.0) - 1.0 # [-1, 1]^D
norm_u = norm2(u)
a = self.rng() # [0, 1]
return (self.l * (a / norm_u)) * u
def grad(self, x):
"""Sub-gradient of the function
f(x) = |x|_2,
where |x|_2 is the L2-norm.
"""
norm_beta = norm2(x)
if norm_beta > TOLERANCE:
return x * (1.0 / norm_beta)
else:
D = x.shape[0]
u = (self.rng(D, 1) * 2.0) - 1.0 # [-1, 1]^D
norm_u = norm2(u)
a = self.rng() # [0, 1]
return (self.l * (a / norm_u)) * u
def grad_l2(beta, rng=RandomUniform(0, 1)):
"""Sub-gradient of the function
f(x) = |x|_2,
where |x|_2 is the L2-norm.
"""
norm_beta = norm2(beta)
if norm_beta > TOLERANCE:
return beta * (1.0 / norm_beta)
else:
D = beta.shape[0]
u = (rng(D, 1) * 2.0) - 1.0 # [-1, 1]^D
norm_u = norm2(u)
a = rng() # [0, 1]
return u * (a / norm_u)
def create_bernouilli(self, m):
'''
Create a random direction to estimate the stochastic gradient.
'''
bernouilli = {}
for (name, value) in m.items():
bernouilli[name] = 1 if random.randint(0, 1) else -1
g = utils.norm2(self.previous_gradient)
d = utils.norm2(bernouilli)
if g > 0.00001:
bernouilli = utils.linear_combinaison(0.55, bernouilli,
0.25 * d / g,
self.previous_gradient)
for (name, value) in m.items():
if bernouilli[name] == 0.0:
bernouilli[name] = 0.2
if abs(bernouilli[name]) < 0.2:
bernouilli[name] = 0.2 * utils.sign_of(bernouilli[name])
return bernouilli
def __call__(self, L, P, psf_only=False):
# compute
utils.convolve2d(L, P, output=self._J)
utils.dx(self._J, output=self._dxJ)
utils.dy(self._J, output=self._dyJ)
utils.dx(L, output=self._dxL)
utils.dy(L, output=self._dyL)
utils.dx_b(self._dxJ, output=self._dxxJ)
utils.dy_b(self._dyJ, output=self._dyyJ)
utils.dx_b(self._dyJ, output=self._dxyJ)
# enegery for data compatibility
R = self._J - self.I0
dxR = self._dxJ - self._dxI0
dyR = self._dyJ - self._dyI0
dxxR = self._dxxJ - self._dxxI0
dyyR = self._dyyJ - self._dyyI0
dxyR = self._dxyJ - self._dxyI0
E = self.w0 * utils.norm2(R)
E += self.w1 * utils.norm2(dxR)
E += self.w1 * utils.norm2(dyR)
#~ E += self.w2 * utils.norm2(dxxR)
#~ E += self.w2 * utils.norm2(dyyR)
#~ E += self.w2 * utils.norm2(dxyR)
if not psf_only:
# energy for global prior
E += self.lambda1 * utils.global_prior(self._dxL, self.a, self.b)
E += self.lambda1 * utils.global_prior(self._dyL, self.a, self.b)
# energy for local prior
E += self.lambda2 * utils.local_prior(self._dxL, self._dxI0,
self.M)
E += self.lambda2 * utils.local_prior(self._dyL, self._dyI0,
self.M)
return E / self.I0.size
def random(shape,
density=1.0,
rng=utils.RandomUniform(0, 1).rand,
sort=False,
normalise=False):
"""Generates a random p-by-1 vector.
shape : A tuple. The shape of the underlying data. E.g., beta may represent
an underlying 2-by-3-by-4 image, and will in that case be 24-by-1.
density : A scalar in (0, 1]. The density of the returned regression vector
(fraction of non-zero elements). Zero-elements will be randomly
distributed in the vector. Default is 1.0.
rng : The random number generator. Must be a function that takes *shape as
input. Default is utils.RandomUniform in the interval [0, 1).
sort : A boolean. Whether or not to sort the vector. The vector is sorted
along the dimensions in order from the first. Default is False.
normalise : A boolean. Whether or not to normalise the vector. Default is
False.
"""
if not isinstance(shape, (list, tuple)):
shape = (shape, )
density = max(0.0, min(density, 1.0))
p = np.prod(shape)
ps = int(density * p + 0.5)
beta = rng(p)
beta[ps:] = 0.0
beta = np.random.permutation(beta)
if sort:
beta = np.reshape(beta, shape)
for i in xrange(len(shape)):
beta = np.sort(beta, axis=i)
beta = np.reshape(beta, (p, 1))
if normalise:
beta *= 1.0 / utils.norm2(beta)
return beta
def run(self):
'''
Return a point which is (hopefully) a minimizer of the goal function f,
starting from point theta0
Returns:
the point (as a dict) which is (hopefully) a minimize of 'f'.
'''
k = 0
theta = self.theta0
while True:
if self.constraints is not None:
theta = self.constraints(theta)
print("theta = " + utils.pretty(theta))
c_k = self.c / ((k + 1)**self.gamma)
a_k = self.a / ((k + 1 + self.A)**self.alpha)
gradient = self.approximate_gradient(theta, c_k)
#For steepest descent we update via a constant small step in the gradient direction
mu = -0.01 / max(1.0, utils.norm2(gradient))
theta = utils.linear_combinaison(1.0, theta, mu, gradient)
## For RPROP, we update with information about the sign of the gradients
theta = utils.linear_combinaison(1.0, theta, -0.01,
self.rprop(theta, gradient))
#We then move to the point which gives the best average of goal
(avg_goal, avg_theta) = self.average_best_evals(30)
theta = utils.linear_combinaison(0.8, theta, 0.2, avg_theta)
k = k + 1
if k >= self.max_iter:
break
if (k % 100 == 0) or (k <= 1000):
(avg_goal, avg_theta) = self.average_evaluations(30)
print("iter = " + str(k))
print("mean goal (all) = " + str(avg_goal))
print("mean theta (all) = " + utils.pretty(avg_theta))
(avg_goal, avg_theta) = self.average_best_evals(30)
print('mean goal (best) = ' + str(avg_goal))
print('mean theta (best) = ' + utils.pretty(avg_theta))
print(
'-----------------------------------------------------------')
return theta
def random(shape, density=1.0, rng=utils.RandomUniform(0, 1).rand,
sort=False, normalise=False):
"""Generates a random p-by-1 vector.
shape : A tuple. The shape of the underlying data. E.g., beta may represent
an underlying 2-by-3-by-4 image, and will in that case be 24-by-1.
density : A scalar in (0, 1]. The density of the returned regression vector
(fraction of non-zero elements). Zero-elements will be randomly
distributed in the vector. Default is 1.0.
rng : The random number generator. Must be a function that takes *shape as
input. Default is utils.RandomUniform in the interval [0, 1).
sort : A boolean. Whether or not to sort the vector. The vector is sorted
along the dimensions in order from the first. Default is False.
normalise : A boolean. Whether or not to normalise the vector. Default is
False.
"""
if not isinstance(shape, (list, tuple)):
shape = (shape,)
density = max(0.0, min(density, 1.0))
p = np.prod(shape)
ps = int(density * p + 0.5)
beta = rng(p)
beta[ps:] = 0.0
beta = np.random.permutation(beta)
if sort:
beta = np.reshape(beta, shape)
for i in xrange(len(shape)):
beta = np.sort(beta, axis=i)
beta = np.reshape(beta, (p, 1))
if normalise:
beta /= utils.norm2(beta)
return beta
def threat_level(vip_pos, guard_pos, hostile_pos):
tv = utils.sub(hostile_pos, vip_pos)
gv = utils.sub(guard_pos, vip_pos)
if utils.norm2(tv) == 0:
return 0
dst_threat = 70 * math.exp(-math.sqrt(utils.dst2(vip_pos, hostile_pos)))
coverage = 0
if utils.norm2(gv) != 0 and utils.norm2(gv) < utils.norm2(tv):
coverage = 10 * max(utils.dot(tv, gv), 0) / \
math.sqrt(utils.norm2(tv) * utils.norm2(gv))
return dst_threat - coverage
def kernel(params_i, params_j, const):
n = norm2(params_i, params_j)
return np.exp(-const * n)
def main(lambda2):
X = get_input("input_pos_neg.txt")
m = 0
m_pos = 0
m_neg = 0
m_distinct_X = len(X)
for (pos,neg,s) in X:
m_pos += pos
m_neg += neg
m += pos + neg
print 'm,m_pos,m_neg=',m,m_pos,m_neg
theta_max_pos = 1.0*m_neg/m
theta_max_neg = 1.0*m_pos/m
tmp = Xtheta_mapper(X)
# Z = X' * theta_max
Z = Xtheta_reducer(tmp,theta_max_pos,theta_max_neg)
lambda_max = max([abs(w)for w in Z.itervalues()])/m
print 'lambda_max = ',lambda_max,'lambda2 = ',lambda2
'''
sum_b= [e[0]for e in X]
for i in range(m-1):
sum_b[i+1] += sum_b[i]
'''
if lambda2>=lambda_max:
print "lambda2 >= lambda_max"
return
print "get len_of_X_column"
tmp = projection_scale_mapper(X) #PX
len_of_X_column = projection_scale_reducer(tmp)
j0 = 0
sign_j0 = 0
mi = m
for (k,v) in Z.items():
#print abs(v),m*lambda_max
if abs(abs(v)-m*lambda_max)<1e-10: # theta*Xj == m*lambda_max
if len_of_X_column[k]<mi: # find j0 with the sparsest column
mi = len_of_X_column[k]
j0 = k
if v > 0:
sign_j0 = 1
elif v < 0:
sign_j0 = -1
else:
sign_j0 = 0
print 'j0 = ',j0
X_raw_star = tmp[j0] # j0th column of X, list of instance_id
L_X_star = mi
#print 'length of X_raw_star', len(X_raw_star)
P_X_star = [(instance_id,sign_j0*(1.0-1.0*L_X_star/m),pos+neg) for (pos,neg,instance_id) in X_raw_star] #PX*, list of (instance_id, a, b)
sign_P_X_star_b = -1.0*sign_j0*L_X_star/m
hash_P_X_star = [0] * m_distinct_X
hash_P_X_star_a = [0] * m_distinct_X
sum_a_star_p_n = 0
sum_a_star_square_p_n = 0
for (idx,a,p_n) in P_X_star:
sum_a_star_p_n += a*p_n
sum_a_star_square_p_n+=a*a*p_n
hash_P_X_star_a[idx] = a
for (pos,neg,index) in X_raw_star:
hash_P_X_star[index]=1
print 'sum_a_star_p_n ', sum_a_star_p_n, ' sum_a_star_square_p_n ',sum_a_star_square_p_n
print 'sign_P_X_star_b ', sign_P_X_star_b
P_X_star_norm2 = norm2(P_X_star,sign_P_X_star_b,m)
print 'P_X_star_norm2 ',P_X_star_norm2
print 'length of P_X_star = ',len(P_X_star)
#X_raw_star = [feature_key,feature_key,...]
#len_of_X_column = {column_id:len}
r = g(theta_max_pos,theta_max_neg,m_pos,m_neg,lambda2/lambda_max) - g(theta_max_pos,theta_max_neg,m_pos,m_neg,1)
r += (1-lambda2/lambda_max)*(m_pos*math.log(theta_max_pos/(1.0 - theta_max_pos))*theta_max_pos + m_neg*math.log(theta_max_neg/(1.0 - theta_max_neg))*theta_max_neg)/m
r = math.sqrt(r*m/2.0)
print 'r ',r
#print j0,sign_j0
print "final step"
tmp = final_mapper(X,len_of_X_column,hash_P_X_star,hash_P_X_star_a)
rejection_features = final_reducer(tmp,m,P_X_star,sign_P_X_star_b,lambda2,lambda_max,sign_j0,r,Z,P_X_star_norm2,L_X_star,sum_a_star_p_n,sum_a_star_square_p_n)
print 'rejection length = ',len(rejection_features)
Y = []
length_feature_before = 0
length_feature_after = 0
for (pos,neg,s) in X:
nt = []
for t in s:
if not t in rejection_features:
nt.append(t)
Y.append([pos,neg,nt])
length_feature_after+=len(nt)
length_feature_before +=len(s)
print 'average length of feature before',length_feature_before*1.0/len(X),'after',length_feature_after*1.0/len(X),
save_X(Y,'input_after_filter.txt')
def getDepth(self):
return Utils.norm2(self.u)
def run(self):
"""
Return a point which is (hopefully) a minimizer of the goal
function f, starting from point theta0.
Returns:
The point (as a dict) which is (hopefully) a minimizer of "f".
"""
k = 0
theta = self.theta0
while True:
k = k + 1
self.iter = k
if self.constraints is not None:
theta = self.constraints(theta)
#print("theta = " + utils.pretty(theta))
c_k = self.c / (k**self.gamma)
a_k = self.a / ((k + self.A)**self.alpha)
gradient = self.approximate_gradient(theta, c_k)
#print(str(k) + " gradient = " + utils.pretty(gradient))
# if k % 1000 == 0:
# print(k + utils.pretty(theta) + "norm2(g) = " + str(utils.norm2(gradient)))
# print(k + " theta = " + utils.pretty(theta))
## For SPSA we update with a small step (theta = theta - a_k * gradient)
## theta = utils.linear_combinaison(1.0, theta, -a_k, gradient)
## For steepest descent we update via a constant small step in the gradient direction
mu = -0.01 / max(1.0, utils.norm2(gradient))
theta = utils.linear_combinaison(1.0, theta, mu, gradient)
## For RPROP, we update with information about the sign of the gradients
theta = utils.linear_combinaison(1.0, theta, -0.01,
self.rprop(theta, gradient))
## We then move to the point which gives the best average of goal
(avg_goal, avg_theta) = self.average_best_evals(30)
theta = utils.linear_combinaison(0.98, theta, 0.02, avg_theta)
if (k % 10 == 0):
(avg_goal, avg_theta) = self.average_evaluations(30)
print("iter = " + str(k))
print("mean goal (all) = " + str(avg_goal))
print("mean theta (all) = " + utils.pretty(avg_theta))
(avg_goal, avg_theta) = self.average_best_evals(30)
print("mean goal (best) = " + str(avg_goal))
print("mean theta (best) = " + utils.pretty(avg_theta))
print(
"-----------------------------------------------------------------"
)
if k >= self.max_iter:
break
return theta
def getWidth(self):
return Utils.norm2(self.u)
def getHeight(self):
return Utils.norm2(self.v)
def gkernel(params_i, params_j, const):
n = norm2(params_i, params_j)
return -2.0 * const * (params_i - params_j) * np.exp(-const * n)
def final_reducer(tmp,m,P_X_star,sign_P_X_star_b,lambda2,lambda_max,sign_j0,r,Z,P_X_star_norm2,L_X_star,sum_a_star_p_n,sum_a_star_square_p_n):
dic = {}
print "enter final_reducer"
print 'number of distinct features = ',len(tmp.keys())
for (feature_id,v) in tmp.items(): # k = column id
#print feature_id
done = True
##########################################
# check PXj = 0
for (idx,p_n,l,package) in v:
if l!= m:
done = False
break
if done == True:
dic[feature_id] = 1
continue
#print "PXj=0 done "
##########################################
cnt_1_1 = 0
cnt_1_0 = 0
cnt_0_1 = 0
cnt_0_0 = 0
dot_PX_P_X_star = 0
PX = []
sum_a_star_p_n_1_1 = 0
for (idx,p_n,l,package) in v:
a = (1.0-1.0*l/m)
PX.append((idx,a,p_n))
if package[0]==1:
cnt_1_1+=p_n
dot_PX_P_X_star+=a*package[1]*p_n #a_star = package[1]
sum_a_star_p_n_1_1+=package[1]*p_n
else:
cnt_1_0+=p_n
dot_PX_P_X_star+=a*sign_P_X_star_b*p_n
sign_PX_b = -1.0*l/m
cnt_0_1 = L_X_star - cnt_1_1
cnt_0_0 = m - cnt_1_1 - cnt_0_1 - cnt_1_0
dot_PX_P_X_star += cnt_0_0*sign_PX_b*sign_P_X_star_b
dot_PX_P_X_star += sign_PX_b*(sum_a_star_p_n-sum_a_star_p_n_1_1)
#print cnt_0_0,cnt_0_1,cnt_1_0,cnt_1_1
#PX = [(idx,b*(1.0-1.0*l/m),b) for (idx,b,l,package) in v]
#print "length of PX = ",len(PX)
#PX = [(instance_id, a,label),..]
#print 'done P_X_star_norm2'
d = m*(lambda_max-lambda2)*1.0/r/P_X_star_norm2
PX_norm2 = norm2(PX,sign_PX_b,m)
#print sign_PX_b,dot_PX_P_X_star,PX_norm2
#print len(PX),len(P_X_star),m
'''
dot_PX_P_X_star2 = dot(PX,sign_PX_b,P_X_star,sign_P_X_star_b,m)
if not abs(dot_PX_P_X_star - dot_PX_P_X_star2)<1e-10:
print "dot failed"
else:
print "succeed ",feature_id
'''
#print "PX* done"
z = dot_PX_P_X_star/PX_norm2/P_X_star_norm2
a2 = pow(P_X_star_norm2,4)*(1.0-d*d)
a1 = 2*dot_PX_P_X_star*pow(P_X_star_norm2,2)*(1.0-d*d)
a0 = pow(dot_PX_P_X_star,2) - d*d*pow(PX_norm2,2)*pow(P_X_star_norm2,2)
delta = a1*a1 - 4.0*a2*a0
if abs(delta) < 1e-10: #border case
delta = 0
u2 = (-a1 + math.sqrt(delta))/(2.0 * a2)
#print "a0a1a.. done"
if z >= d:
T = r*PX_norm2 - Z[feature_id]
else:
P_new_norm2 = 0
sum_a_star_square_p_n_1_1=0
sum_a_star_p_n_1_1=0
for (idx,p_n,l,package) in v:
a = (1.0-1.0*l/m)
if package[0]==1:
P_new_norm2 += pow(a + u2*package[1],2) * p_n #a_star = package[1]
sum_a_star_square_p_n_1_1 += package[1]*package[1]*p_n
sum_a_star_p_n_1_1 = package[1]*p_n
else:
P_new_norm2 += pow(a + u2*sign_P_X_star_b,2)*p_n
P_new_norm2 += pow(sign_PX_b+u2*sign_P_X_star_b,2)*cnt_0_0
P_new_norm2 += cnt_0_1*sign_PX_b*sign_PX_b+u2*u2*(sum_a_star_square_p_n - sum_a_star_square_p_n_1_1)+2*sign_PX_b*u2*(sum_a_star_p_n-sum_a_star_p_n_1_1)
P_new_norm2 = math.sqrt(P_new_norm2)
'''
P_new = get_P_new(PX,sign_PX_b,P_X_star,sign_P_X_star_b,u2)
sign_P_new_b = sign_PX_b+u2*sign_P_X_star_b
P_new_norm2_2 = math.sqrt(dot(P_new,sign_P_new_b,P_new,sign_P_new_b,m))
if abs(P_new_norm2 - P_new_norm2_2) < 1e-10:
print "P_new_norm2 succeed",feature_id
else:
print P_new_norm2,P_new_norm2_2,'failed1'
'''
T = r*P_new_norm2-u2*m*(lambda_max-lambda2) - Z[feature_id]
#print "T done"
"""
There are several differences between T(1) and T(-1)
1. z done
2. a1 (u2) done
3. <theta_max, X'> Z[feature_id] done
4. PX' (a,sign_PX_b)
"""
z2 = -z
if z2>=d:
T2 = r*PX_norm2 + Z[feature_id]
else:
u2 = (a1 + math.sqrt(delta))/(2.0 * a2)
P_new_norm2 = 0
sum_a_star_square_p_n_1_1=0
sum_a_star_p_n_1_1=0
for (idx,p_n,l,package) in v:
a = -(1.0-1.0*l/m)
if package[0]==1:
P_new_norm2 += pow(a + u2*package[1],2) * p_n #a_star = package[1]
sum_a_star_square_p_n_1_1 += package[1]*package[1]*p_n
sum_a_star_p_n_1_1 = package[1]*p_n
else:
P_new_norm2 += pow(a + u2*sign_P_X_star_b,2)*p_n
P_new_norm2 += pow(-sign_PX_b+u2*sign_P_X_star_b,2)*cnt_0_0
P_new_norm2 += cnt_0_1*sign_PX_b*sign_PX_b+u2*u2*(sum_a_star_square_p_n - sum_a_star_square_p_n_1_1) - 2*sign_PX_b*u2*(sum_a_star_p_n-sum_a_star_p_n_1_1)
P_new_norm2 = math.sqrt(P_new_norm2)
'''
P_new = get_P_new([(idx,-a,b) for (idx,a,b) in PX],-sign_PX_b,P_X_star,sign_P_X_star_b,u2)
sign_P_new_b = -sign_PX_b+u2*sign_P_X_star_b
P_new_norm2_2 = math.sqrt(dot(P_new,sign_P_new_b,P_new,sign_P_new_b,m))
if abs(P_new_norm2 - P_new_norm2_2) < 1e-10:
print "P_new_norm2 succeed",feature_id
else:
print P_new_norm2,P_new_norm2_2,'failed2'
'''
T2 = r*P_new_norm2-u2*m*(lambda_max-lambda2) + Z[feature_id]
#print "T2 done"
TT = max(T,T2)
#print TT,m*lambda2
if TT<m*lambda2:
dic[feature_id] = 1
return dic
def run(self):
"""
Return a point which is (hopefully) a minimizer of the goal
function f, starting from point theta0.
Returns:
The point (as a dict) which is (hopefully) a minimizer of "f".
"""
is_spsa = True
is_steep_descent = False
is_rprop = False
k = 0
theta = self.theta0
while True:
k = k + 1
self.iter = k
print(f'starting iter {k} ...')
if self.constraints is not None:
theta = self.constraints(theta)
print('current param:')
for name, value in utils.true_param(theta).items():
print(f' {name}: {value["value"]}')
c_k = self.c / (k**self.gamma)
a_k = self.a / ((k + self.A)**self.alpha)
# print(f' ck: {c_k:0.5f}')
# print(f' ak: {a_k:0.5f}')
# Run the engine match here to get the gradient
print('Run engine match ...')
gradient = self.approximate_gradient(theta, c_k, k)
# For SPSA we update with a small step (theta = theta - a_k * gradient)
if is_spsa:
theta = utils.linear_combinaison(1.0, theta, -a_k, gradient)
logging.info(f'{__file__} > theta from spsa: {theta}')
# print(f'new param after application of gradient:')
# for n, v in theta.items():
# print(f' {n}: {int(v["value"] * v["factor"])}')
# For steepest descent we update via a constant small step in the gradient direction
elif is_steep_descent:
mu = -0.01 / max(1.0, utils.norm2(gradient))
theta = utils.linear_combinaison(1.0, theta, mu, gradient)
# For RPROP, we update with information about the sign of the gradients
elif is_rprop:
theta = utils.linear_combinaison(1.0, theta, -0.01,
self.rprop(theta, gradient))
# Apply parameter limits
theta = utils.apply_limits(theta)
logging.info(f'{__file__} > theta with limits: {theta}')
# print(f'new param after application of limits:')
# for n, v in theta.items():
# print(f' {n}: {int(v["value"] * v["factor"])}')
# We then move to the point which gives the best average of goal
(avg_goal, avg_theta) = self.average_best_evals(30)
logging.info(
f'{__file__} > avg_theta from average_best_evals: {avg_theta}')
theta = utils.linear_combinaison(0.98, theta, 0.02, avg_theta)
logging.info(f'{__file__} > theta with avg_theta: {theta}')
# print(f'new param after application of best average param:')
# for n, v in theta.items():
# print(f' {n}: {int(v["value"] * v["factor"])}')
# Apply parameter limits
theta = utils.apply_limits(theta) # This is the best param.
logging.info(f'{__file__} > best param: {theta}')
# print(f'new param after application of limits:')
# for n, v in theta.items():
# print(f' {n}: {int(v["value"] * v["factor"])}')
# Log best param values
for kv, vv in theta.items():
logging.info(
f'<best> iter: {k}, param: {kv}, value: {int(vv["value"]*vv["factor"])}'
)
print('best param:')
for n, v in theta.items():
print(f' {n}: {int(v["value"] * v["factor"])}')
mean_all_goal, _ = self.average_evaluations(30)
print(f'mean all goal: {mean_all_goal}')
mean_best_goal, _ = self.average_best_evals(30)
print(f'mean best goal: {mean_best_goal}')
# Save data in csv for plotting.
plot_data = {}
plot_data.update({'iter': k})
plot_data.update({'meanbestgoal': mean_best_goal})
plot_data.update({'meanallgoal': mean_all_goal})
plot_theta = utils.true_param(theta)
for name, value in plot_theta.items():
plot_data.update({name: value["value"]})
with open(self.plot_data_file, 'a') as f:
cnt = 0
for name, value in plot_data.items():
cnt += 1
if cnt == len(plot_data):
f.write(f'{value}\n')
else:
f.write(f'{value},')
print(f'done iter {k} / {self.max_iter}')
logging.info(f'{__file__} > done iter {k} / {self.max_iter}')
print('=========================================')
# Stopping rule 1: Average goal and iteration meet the
# stop_all_mean_goal and stop_min_iter criteria.
if k >= self.stop_min_iter and mean_all_goal <= self.stop_all_mean_goal:
print('Stop opimization due to good average all goal!')
break
# Stopping rule 2: Average best goal and iteration meet the
# stop_best_mean_goal and stop_min_iter criteria.
if k >= self.stop_min_iter and mean_best_goal <= self.stop_best_mean_goal:
print('Stop opimization due to good average best goal!')
break
# Stopping rule 3: Max iteration is reached.
if k >= self.max_iter:
print('Stop opimization due to max iteration!')
break
return utils.true_param(theta)