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net_sphere.py
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net_sphere.py
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import torch
import torch.nn as nn
from torch.autograd import Variable
import torch.nn.functional as F
from torch.nn import Parameter
import math
def myphi(x,m):
x = x * m
return 1-x**2/math.factorial(2)+x**4/math.factorial(4)-x**6/math.factorial(6) + \
x**8/math.factorial(8) - x**9/math.factorial(9)
class AngleLinear(nn.Module):
def __init__(self, in_features, out_features, m = 4, phiflag=True):
super(AngleLinear, self).__init__()
self.in_features = in_features
self.out_features = out_features
self.weight = Parameter(torch.Tensor(in_features,out_features))
self.weight.data.uniform_(-1, 1).renorm_(2,1,1e-5).mul_(1e5)
self.phiflag = phiflag
self.m = m
self.mlambda = [
lambda x: x**0,
lambda x: x**1,
lambda x: 2*x**2-1,
lambda x: 4*x**3-3*x,
lambda x: 8*x**4-8*x**2+1,
lambda x: 16*x**5-20*x**3+5*x
]
def forward(self, input):
x = input # size=(B,F) F is feature len
w = self.weight # size=(F,Classnum) F=in_features Classnum=out_features
ww = w.renorm(2,1,1e-5).mul(1e5)
xlen = x.pow(2).sum(1).pow(0.5) # size=B
wlen = ww.pow(2).sum(0).pow(0.5) # size=Classnum
cos_theta = x.mm(ww) # size=(B,Classnum)
cos_theta = cos_theta / xlen.view(-1,1) / wlen.view(1,-1)
cos_theta = cos_theta.clamp(-1,1)
if self.phiflag:
cos_m_theta = self.mlambda[self.m](cos_theta)
theta = Variable(cos_theta.data.acos())
k = (self.m*theta/3.14159265).floor()
n_one = k*0.0 - 1
phi_theta = (n_one**k) * cos_m_theta - 2*k
else:
theta = cos_theta.acos()
phi_theta = myphi(theta,self.m)
phi_theta = phi_theta.clamp(-1*self.m,1)
cos_theta = cos_theta * xlen.view(-1,1)
phi_theta = phi_theta * xlen.view(-1,1)
output = (cos_theta,phi_theta)
return output # size=(B,Classnum,2)
class AngleLoss(nn.Module):
def __init__(self, gamma=0):
super(AngleLoss, self).__init__()
self.gamma = gamma
self.it = 0
self.LambdaMin = 5.0
self.LambdaMax = 1500.0
self.lamb = 1500.0
def forward(self, input, target):
self.it += 1
cos_theta,phi_theta = input
target = target.view(-1,1) #size=(B,1)
index = cos_theta.data * 0.0 #size=(B,Classnum)
index.scatter_(1,target.data.view(-1,1),1)
index = index.byte()
index = Variable(index)
self.lamb = max(self.LambdaMin,self.LambdaMax/(1+0.1*self.it ))
output = cos_theta * 1.0 #size=(B,Classnum)
output[index] -= cos_theta[index]*(1.0+0)/(1+self.lamb)
output[index] += phi_theta[index]*(1.0+0)/(1+self.lamb)
logpt = F.log_softmax(output)
logpt = logpt.gather(1,target)
logpt = logpt.view(-1)
pt = Variable(logpt.data.exp())
loss = -1 * (1-pt)**self.gamma * logpt
loss = loss.mean()
return loss
class sphere20a(nn.Module):
def __init__(self,classnum=10574,feature=False):
super(sphere20a, self).__init__()
self.classnum = classnum
self.feature = feature
#input = B*3*112*96
self.conv1_1 = nn.Conv2d(3,64,3,2,1) #=>B*64*56*48
self.relu1_1 = nn.PReLU(64)
self.conv1_2 = nn.Conv2d(64,64,3,1,1)
self.relu1_2 = nn.PReLU(64)
self.conv1_3 = nn.Conv2d(64,64,3,1,1)
self.relu1_3 = nn.PReLU(64)
self.conv2_1 = nn.Conv2d(64,128,3,2,1) #=>B*128*28*24
self.relu2_1 = nn.PReLU(128)
self.conv2_2 = nn.Conv2d(128,128,3,1,1)
self.relu2_2 = nn.PReLU(128)
self.conv2_3 = nn.Conv2d(128,128,3,1,1)
self.relu2_3 = nn.PReLU(128)
self.conv2_4 = nn.Conv2d(128,128,3,1,1) #=>B*128*28*24
self.relu2_4 = nn.PReLU(128)
self.conv2_5 = nn.Conv2d(128,128,3,1,1)
self.relu2_5 = nn.PReLU(128)
self.conv3_1 = nn.Conv2d(128,256,3,2,1) #=>B*256*14*12
self.relu3_1 = nn.PReLU(256)
self.conv3_2 = nn.Conv2d(256,256,3,1,1)
self.relu3_2 = nn.PReLU(256)
self.conv3_3 = nn.Conv2d(256,256,3,1,1)
self.relu3_3 = nn.PReLU(256)
self.conv3_4 = nn.Conv2d(256,256,3,1,1) #=>B*256*14*12
self.relu3_4 = nn.PReLU(256)
self.conv3_5 = nn.Conv2d(256,256,3,1,1)
self.relu3_5 = nn.PReLU(256)
self.conv3_6 = nn.Conv2d(256,256,3,1,1) #=>B*256*14*12
self.relu3_6 = nn.PReLU(256)
self.conv3_7 = nn.Conv2d(256,256,3,1,1)
self.relu3_7 = nn.PReLU(256)
self.conv3_8 = nn.Conv2d(256,256,3,1,1) #=>B*256*14*12
self.relu3_8 = nn.PReLU(256)
self.conv3_9 = nn.Conv2d(256,256,3,1,1)
self.relu3_9 = nn.PReLU(256)
self.conv4_1 = nn.Conv2d(256,512,3,2,1) #=>B*512*7*6
self.relu4_1 = nn.PReLU(512)
self.conv4_2 = nn.Conv2d(512,512,3,1,1)
self.relu4_2 = nn.PReLU(512)
self.conv4_3 = nn.Conv2d(512,512,3,1,1)
self.relu4_3 = nn.PReLU(512)
self.fc5 = nn.Linear(512*7*6,512)
self.fc6 = AngleLinear(512,self.classnum)
def forward(self, x):
x = self.relu1_1(self.conv1_1(x))
x = x + self.relu1_3(self.conv1_3(self.relu1_2(self.conv1_2(x))))
x = self.relu2_1(self.conv2_1(x))
x = x + self.relu2_3(self.conv2_3(self.relu2_2(self.conv2_2(x))))
x = x + self.relu2_5(self.conv2_5(self.relu2_4(self.conv2_4(x))))
x = self.relu3_1(self.conv3_1(x))
x = x + self.relu3_3(self.conv3_3(self.relu3_2(self.conv3_2(x))))
x = x + self.relu3_5(self.conv3_5(self.relu3_4(self.conv3_4(x))))
x = x + self.relu3_7(self.conv3_7(self.relu3_6(self.conv3_6(x))))
x = x + self.relu3_9(self.conv3_9(self.relu3_8(self.conv3_8(x))))
x = self.relu4_1(self.conv4_1(x))
x = x + self.relu4_3(self.conv4_3(self.relu4_2(self.conv4_2(x))))
x = x.view(x.size(0),-1)
x = self.fc5(x)
if self.feature: return x
x = self.fc6(x)
return x