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VBPLayer.py
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149 lines (116 loc) · 5.39 KB
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import torch as th
import torch.nn as nn
import torch.nn.functional as F
from torch.nn.modules.utils import _pair
import math
import numpy as np
class VBPLinear(nn.Module):
def __init__(self, in_features, out_features, prior_prec=10, isoutput=False):
super(VBPLinear, self).__init__()
self.n_in = in_features
self.n_out = out_features
self.prior_prec = prior_prec
self.isoutput = isoutput
self.bias = nn.Parameter(th.Tensor(out_features))
self.mu_w = nn.Parameter(th.Tensor(out_features, in_features))
self.logsig2_w = nn.Parameter(th.Tensor(out_features, in_features))
self.reset_parameters()
self.normal = False
self.reset_parameters()
def reset_parameters(self):
stdv = 1. / math.sqrt(self.mu_w.size(1))
self.mu_w.data.normal_(0, stdv)
self.logsig2_w.data.zero_().normal_(-9, 0.001)
self.bias.data.zero_()
def forward(self, data):
return F.linear(data, self.mu_w, self.bias)
def KL(self, loguniform=False):
if loguniform:
k1 = 0.63576; k2 = 1.87320; k3 = 1.48695
log_alpha = self.logsig2_w - 2 * th.log(self.mu_w.abs() + 1e-8)
kl = -th.sum(k1 * F.sigmoid(k2 + k3 * log_alpha) - 0.5 * F.softplus(-log_alpha) - k1)
else:
logsig2_w = self.logsig2_w.clamp(-11, 11)
kl = 0.5 * (self.prior_prec * (self.mu_w.pow(2) + logsig2_w.exp()) - logsig2_w - 1 - np.log(self.prior_prec)).sum()
return kl
def var(self, prev_mean, prev_var=None, C=100):
if self.isoutput:
m2s2_w = self.mu_w.pow(2) + self.logsig2_w.exp()
term1 = F.linear(prev_var, m2s2_w)
term2 = F.linear(prev_mean.pow(2), self.logsig2_w.exp())
return term1 + term2
else:
pZ = th.sigmoid(C * F.linear(prev_mean, self.mu_w, self.bias))
# Compute var[h]
if prev_var is None:
term1 = 0
else:
m2s2_w = self.mu_w.pow(2) + self.logsig2_w.exp()
term1 = F.linear(prev_var, m2s2_w)
term2 = F.linear(prev_mean.pow(2), self.logsig2_w.exp())
varh = term1 + term2
# Compute E[h]^2
term3 = F.linear(prev_mean, self.mu_w, self.bias).pow(2)
return pZ * varh + pZ * (1 - pZ) * term3
def __repr__(self):
return self.__class__.__name__ + ' (' \
+ str(self.n_in) + ' -> ' \
+ str(self.n_out) \
+ f', isoutput={self.isoutput})'
class VBPConv(VBPLinear):
def __init__(self, in_channels, out_channels, kernel_size, prior_prec=10, stride=1,
padding=0, dilation=1, groups=1, isoutput=False):
super(VBPLinear, self).__init__()
self.n_in = in_channels
self.n_out = out_channels
self.kernel_size = kernel_size
self.stride = _pair(stride)
self.padding = _pair(padding)
self.dilation = _pair(dilation)
self.groups = groups
self.prior_prec = prior_prec
self.isoutput = isoutput
self.bias = nn.Parameter(th.Tensor(out_channels))
self.mu_w = nn.Parameter(th.Tensor(out_channels, in_channels, kernel_size, kernel_size))
self.logsig2_w = nn.Parameter(th.Tensor(out_channels, in_channels, kernel_size, kernel_size))
self.reset_parameters()
def reset_parameters(self):
n = self.n_in
for k in range(1, self.kernel_size):
n *= k
self.mu_w.data.normal_(0, 1. / math.sqrt(n))
self.logsig2_w.data.zero_().normal_(-9, 0.001)
self.bias.data.zero_()
def forward(self, data):
return F.conv2d(data, self.mu_w, self.bias, self.stride, self.padding, self.dilation, self.groups)
def var(self, prev_mean, prev_var=None, C=100):
if self.isoutput:
m2s2_w = self.mu_w.pow(2) + self.logsig2_w.exp()
term1 = F.conv2d(prev_var, m2s2_w, None, self.stride, self.padding, self.dilation, self.groups)
term2 = F.conv2d(prev_mean.pow(2), self.logsig2_w.exp(), None, self.stride, self.padding, self.dilation, self.groups)
return term1 + term2
else:
pZ = th.sigmoid(C*F.conv2d(prev_mean, self.mu_w, self.bias, self.stride, self.padding, self.dilation, self.groups))
# Compute var[h]
if prev_var is None:
term1 = 0
else:
m2s2_w = self.mu_w.pow(2) + self.logsig2_w.exp()
term1 = F.conv2d(prev_var, m2s2_w, None, self.stride, self.padding, self.dilation, self.groups)
term2 = F.conv2d(prev_mean.pow(2), self.logsig2_w.exp(), None, self.stride, self.padding, self.dilation, self.groups)
varh = term1 + term2
# Compute E[h]^2
term3 = F.conv2d(prev_mean, self.mu_w, self.bias, self.stride, self.padding, self.dilation, self.groups).pow(2)
return pZ * varh + pZ * (1 - pZ) * term3
def __repr__(self):
s = ('{name}({n_in}, {n_out}, kernel_size={kernel_size}'
', stride={stride}')
if self.padding != (0,) * len(self.padding):
s += ', padding={padding}'
if self.dilation != (1,) * len(self.dilation):
s += ', dilation={dilation}'
if self.groups != 1:
s += ', groups={groups}'
s += ', bias=True'
s += ')'
return s.format(name=self.__class__.__name__, **self.__dict__)