""" Weights normalization modules """ import torch import torch.nn as nn import torch.nn.functional as F from torch.nn import Parameter def get_var_maybe_avg(namespace, var_name, training, polyak_decay): """ utility for retrieving polyak averaged params Update average """ v = getattr(namespace, var_name) v_avg = getattr(namespace, var_name + '_avg') v_avg -= (1 - polyak_decay) * (v_avg - v.data) if training: return v else: return v_avg def get_vars_maybe_avg(namespace, var_names, training, polyak_decay): """ utility for retrieving polyak averaged params """ vars = [] for vn in var_names: vars.append(get_var_maybe_avg( namespace, vn, training, polyak_decay)) return vars class WeightNormLinear(nn.Linear): """ Implementation of "Weight Normalization: A Simple Reparameterization to Accelerate Training of Deep Neural Networks" :cite:`DBLP:journals/corr/SalimansK16` As a reparameterization method, weight normalization is same as BatchNormalization, but it doesn't depend on minibatch. NOTE: This is used nowhere in the code at this stage Vincent Nguyen 05/18/2018 """ def __init__(self, in_features, out_features, init_scale=1., polyak_decay=0.9995): super(WeightNormLinear, self).__init__( in_features, out_features, bias=True) self.V = self.weight self.g = Parameter(torch.Tensor(out_features)) self.b = self.bias self.register_buffer( 'V_avg', torch.zeros(out_features, in_features)) self.register_buffer('g_avg', torch.zeros(out_features)) self.register_buffer('b_avg', torch.zeros(out_features)) self.init_scale = init_scale self.polyak_decay = polyak_decay self.reset_parameters() def reset_parameters(self): return def forward(self, x, init=False): if init is True: # out_features * in_features self.V.data.copy_(torch.randn(self.V.data.size()).type_as( self.V.data) * 0.05) # norm is out_features * 1 v_norm = self.V.data / \ self.V.data.norm(2, 1).expand_as(self.V.data) # batch_size * out_features x_init = F.linear(x, v_norm).data # out_features m_init, v_init = x_init.mean(0).squeeze( 0), x_init.var(0).squeeze(0) # out_features scale_init = self.init_scale / \ torch.sqrt(v_init + 1e-10) self.g.data.copy_(scale_init) self.b.data.copy_(-m_init * scale_init) x_init = scale_init.view(1, -1).expand_as(x_init) \ * (x_init - m_init.view(1, -1).expand_as(x_init)) self.V_avg.copy_(self.V.data) self.g_avg.copy_(self.g.data) self.b_avg.copy_(self.b.data) return x_init else: v, g, b = get_vars_maybe_avg(self, ['V', 'g', 'b'], self.training, polyak_decay=self.polyak_decay) # batch_size * out_features x = F.linear(x, v) scalar = g / torch.norm(v, 2, 1).squeeze(1) x = scalar.view(1, -1).expand_as(x) * x + \ b.view(1, -1).expand_as(x) return x class WeightNormConv2d(nn.Conv2d): def __init__(self, in_channels, out_channels, kernel_size, stride=1, padding=0, dilation=1, groups=1, init_scale=1., polyak_decay=0.9995): super(WeightNormConv2d, self).__init__(in_channels, out_channels, kernel_size, stride, padding, dilation, groups) self.V = self.weight self.g = Parameter(torch.Tensor(out_channels)) self.b = self.bias self.register_buffer('V_avg', torch.zeros(self.V.size())) self.register_buffer('g_avg', torch.zeros(out_channels)) self.register_buffer('b_avg', torch.zeros(out_channels)) self.init_scale = init_scale self.polyak_decay = polyak_decay self.reset_parameters() def reset_parameters(self): return def forward(self, x, init=False): if init is True: # out_channels, in_channels // groups, * kernel_size self.V.data.copy_(torch.randn(self.V.data.size() ).type_as(self.V.data) * 0.05) v_norm = self.V.data / self.V.data.view(self.out_channels, -1)\ .norm(2, 1).view(self.out_channels, *( [1] * (len(self.kernel_size) + 1))).expand_as(self.V.data) x_init = F.conv2d(x, v_norm, None, self.stride, self.padding, self.dilation, self.groups).data t_x_init = x_init.transpose(0, 1).contiguous().view( self.out_channels, -1) m_init, v_init = t_x_init.mean(1).squeeze( 1), t_x_init.var(1).squeeze(1) # out_features scale_init = self.init_scale / \ torch.sqrt(v_init + 1e-10) self.g.data.copy_(scale_init) self.b.data.copy_(-m_init * scale_init) scale_init_shape = scale_init.view( 1, self.out_channels, *([1] * (len(x_init.size()) - 2))) m_init_shape = m_init.view( 1, self.out_channels, *([1] * (len(x_init.size()) - 2))) x_init = scale_init_shape.expand_as( x_init) * (x_init - m_init_shape.expand_as(x_init)) self.V_avg.copy_(self.V.data) self.g_avg.copy_(self.g.data) self.b_avg.copy_(self.b.data) return x_init else: v, g, b = get_vars_maybe_avg( self, ['V', 'g', 'b'], self.training, polyak_decay=self.polyak_decay) scalar = torch.norm(v.view(self.out_channels, -1), 2, 1) if len(scalar.size()) == 2: scalar = g / scalar.squeeze(1) else: scalar = g / scalar w = scalar.view(self.out_channels, * ([1] * (len(v.size()) - 1))).expand_as(v) * v x = F.conv2d(x, w, b, self.stride, self.padding, self.dilation, self.groups) return x # This is used nowhere in the code at the moment (Vincent Nguyen 05/18/2018) class WeightNormConvTranspose2d(nn.ConvTranspose2d): def __init__(self, in_channels, out_channels, kernel_size, stride=1, padding=0, output_padding=0, groups=1, init_scale=1., polyak_decay=0.9995): super(WeightNormConvTranspose2d, self).__init__( in_channels, out_channels, kernel_size, stride, padding, output_padding, groups) # in_channels, out_channels, *kernel_size self.V = self.weight self.g = Parameter(torch.Tensor(out_channels)) self.b = self.bias self.register_buffer('V_avg', torch.zeros(self.V.size())) self.register_buffer('g_avg', torch.zeros(out_channels)) self.register_buffer('b_avg', torch.zeros(out_channels)) self.init_scale = init_scale self.polyak_decay = polyak_decay self.reset_parameters() def reset_parameters(self): return def forward(self, x, init=False): if init is True: # in_channels, out_channels, *kernel_size self.V.data.copy_(torch.randn(self.V.data.size()).type_as( self.V.data) * 0.05) v_norm = self.V.data / self.V.data.transpose(0, 1).contiguous() \ .view(self.out_channels, -1).norm(2, 1).view( self.in_channels, self.out_channels, *([1] * len(self.kernel_size))).expand_as(self.V.data) x_init = F.conv_transpose2d( x, v_norm, None, self.stride, self.padding, self.output_padding, self.groups).data # self.out_channels, 1 t_x_init = x_init.tranpose(0, 1).contiguous().view( self.out_channels, -1) # out_features m_init, v_init = t_x_init.mean(1).squeeze( 1), t_x_init.var(1).squeeze(1) # out_features scale_init = self.init_scale / \ torch.sqrt(v_init + 1e-10) self.g.data.copy_(scale_init) self.b.data.copy_(-m_init * scale_init) scale_init_shape = scale_init.view( 1, self.out_channels, *([1] * (len(x_init.size()) - 2))) m_init_shape = m_init.view( 1, self.out_channels, *([1] * (len(x_init.size()) - 2))) x_init = scale_init_shape.expand_as(x_init)\ * (x_init - m_init_shape.expand_as(x_init)) self.V_avg.copy_(self.V.data) self.g_avg.copy_(self.g.data) self.b_avg.copy_(self.b.data) return x_init else: v, g, b = get_vars_maybe_avg( self, ['V', 'g', 'b'], self.training, polyak_decay=self.polyak_decay) scalar = g / \ torch.norm(v.transpose(0, 1).contiguous().view( self.out_channels, -1), 2, 1).squeeze(1) w = scalar.view(self.in_channels, self.out_channels, *([1] * (len(v.size()) - 2))).expand_as(v) * v x = F.conv_transpose2d(x, w, b, self.stride, self.padding, self.output_padding, self.groups) return x