import torch import torch.nn as nn from .deform_conv import DCN_layer_rgb import torch.nn.functional as F import math from torch.distributions.normal import Normal import numpy as np class SparseDispatcher(object): """Helper for implementing a mixture of experts. The purpose of this class is to create input minibatches for the experts and to combine the results of the experts to form a unified output tensor. There are two functions: dispatch - take an input Tensor and create input Tensors for each expert. combine - take output Tensors from each expert and form a combined output Tensor. Outputs from different experts for the same batch element are summed together, weighted by the provided "gates". The class is initialized with a "gates" Tensor, which specifies which batch elements go to which experts, and the weights to use when combining the outputs. Batch element b is sent to expert e iff gates[b, e] != 0. The inputs and outputs are all two-dimensional [batch, depth]. Caller is responsible for collapsing additional dimensions prior to calling this class and reshaping the output to the original shape. See common_layers.reshape_like(). Example use: gates: a float32 `Tensor` with shape `[batch_size, num_experts]` inputs: a float32 `Tensor` with shape `[batch_size, input_size]` experts: a list of length `num_experts` containing sub-networks. dispatcher = SparseDispatcher(num_experts, gates) expert_inputs = dispatcher.dispatch(inputs) expert_outputs = [experts[i](expert_inputs[i]) for i in range(num_experts)] outputs = dispatcher.combine(expert_outputs) The preceding code sets the output for a particular example b to: output[b] = Sum_i(gates[b, i] * experts[i](inputs[b])) This class takes advantage of sparsity in the gate matrix by including in the `Tensor`s for expert i only the batch elements for which `gates[b, i] > 0`. """ def __init__(self, num_experts, gates): """Create a SparseDispatcher.""" self._gates = gates self._num_experts = num_experts # sort experts sorted_experts, index_sorted_experts = torch.nonzero(gates).sort(0) # drop indices _, self._expert_index = sorted_experts.split(1, dim=1) # get according batch index for each expert self._batch_index = torch.nonzero(gates)[index_sorted_experts[:, 1], 0] # calculate num samples that each expert gets self._part_sizes = (gates > 0).sum(0).tolist() # expand gates to match with self._batch_index gates_exp = gates[self._batch_index.flatten()] self._nonzero_gates = torch.gather(gates_exp, 1, self._expert_index) def dispatch(self, D_Kernel, index_1): b, c = D_Kernel.shape D_Kernel_exp = D_Kernel[self._batch_index] list1 = torch.zeros((1, self._num_experts)) list1[0, index_1] = b return torch.split(D_Kernel_exp, list1[0].int().tolist(), dim=0) def combine(self, expert_out, multiply_by_gates=True): stitched = torch.cat(expert_out, 0).exp() if multiply_by_gates: stitched = stitched.mul(self._nonzero_gates.unsqueeze(1).unsqueeze(1)) zeros = torch.zeros( (self._gates.size(0), expert_out[-1].size(1), expert_out[-1].size(2), expert_out[-1].size(3)), requires_grad=True, device=stitched.device) combined = zeros.index_add(0, self._batch_index, stitched.float()) # add eps to all zero values in order to avoid nans when going back to log space combined[combined == 0] = np.finfo(float).eps # back to log space return combined.log() def expert_to_gates(self): """Gate values corresponding to the examples in the per-expert `Tensor`s. Returns: a list of `num_experts` one-dimensional `Tensor`s with type `tf.float32` and shapes `[expert_batch_size_i]` """ # split nonzero gates for each expert return torch.split(self._nonzero_gates, self._part_sizes, dim=0) class DecMoE(nn.Module): """Call a Sparsely gated mixture of experts layer with 1-layer Feed-Forward networks as experts. Args: input_size: integer - size of the input output_size: integer - size of the input num_experts: an integer - number of experts hidden_size: an integer - hidden size of the experts noisy_gating: a boolean k: an integer - how many experts to use for each batch element """ def __init__(self, ds_inputsize, input_size, output_size, num_experts, hidden_size, noisy_gating=True, k=2, trainingmode=True): super(DecMoE, self).__init__() self.noisy_gating = noisy_gating self.num_experts = num_experts self.output_size = output_size self.input_size = input_size self.hidden_size = hidden_size self.training = trainingmode self.k = k # instantiate experts self.experts = nn.ModuleList( [generateKernel(hidden_size, 3), generateKernel(hidden_size, 5), generateKernel(hidden_size, 7), generateKernel(hidden_size, 9)]) self.w_gate = nn.Parameter(torch.zeros(ds_inputsize, num_experts), requires_grad=True) self.w_noise = nn.Parameter(torch.zeros(ds_inputsize, num_experts), requires_grad=True) self.softplus = nn.Softplus() self.softmax = nn.Softmax(1) self.register_buffer("mean", torch.tensor([0.0])) self.register_buffer("std", torch.tensor([1.0])) assert (self.k <= self.num_experts) def cv_squared(self, x): """The squared coefficient of variation of a sample. Useful as a loss to encourage a positive distribution to be more uniform. Epsilons added for numerical stability. Returns 0 for an empty Tensor. Args: x: a `Tensor`. Returns: a `Scalar`. """ eps = 1e-10 # if only num_experts = 1 if x.shape[0] == 1: return torch.tensor([0], device=x.device, dtype=x.dtype) return x.float().var() / (x.float().mean() ** 2 + eps) def _gates_to_load(self, gates): """Compute the true load per expert, given the gates. The load is the number of examples for which the corresponding gate is >0. Args: gates: a `Tensor` of shape [batch_size, n] Returns: a float32 `Tensor` of shape [n] """ return (gates > 0).sum(0) def _prob_in_top_k(self, clean_values, noisy_values, noise_stddev, noisy_top_values): """Helper function to NoisyTopKGating. Computes the probability that value is in top k, given different random noise. This gives us a way of backpropagating from a loss that balances the number of times each expert is in the top k experts per example. In the case of no noise, pass in None for noise_stddev, and the result will not be differentiable. Args: clean_values: a `Tensor` of shape [batch, n]. noisy_values: a `Tensor` of shape [batch, n]. Equal to clean values plus normally distributed noise with standard deviation noise_stddev. noise_stddev: a `Tensor` of shape [batch, n], or None noisy_top_values: a `Tensor` of shape [batch, m]. "values" Output of tf.top_k(noisy_top_values, m). m >= k+1 Returns: a `Tensor` of shape [batch, n]. """ batch = clean_values.size(0) m = noisy_top_values.size(1) top_values_flat = noisy_top_values.flatten() threshold_positions_if_in = torch.arange(batch, device=clean_values.device) * m + self.k threshold_if_in = torch.unsqueeze(torch.gather(top_values_flat, 0, threshold_positions_if_in), 1) is_in = torch.gt(noisy_values, threshold_if_in) threshold_positions_if_out = threshold_positions_if_in - 1 threshold_if_out = torch.unsqueeze(torch.gather(top_values_flat, 0, threshold_positions_if_out), 1) # is each value currently in the top k. normal = Normal(self.mean, self.std) prob_if_in = normal.cdf((clean_values - threshold_if_in) / noise_stddev) prob_if_out = normal.cdf((clean_values - threshold_if_out) / noise_stddev) prob = torch.where(is_in, prob_if_in, prob_if_out) return prob def noisy_top_k_gating(self, x, train, noise_epsilon=1e-2): """Noisy top-k gating. See paper: https://arxiv.org/abs/1701.06538. Args: x: input Tensor with shape [batch_size, input_size] train: a boolean - we only add noise at training time. noise_epsilon: a float Returns: gates: a Tensor with shape [batch_size, num_experts] load: a Tensor with shape [num_experts] """ clean_logits = x @ self.w_gate if self.noisy_gating and train: raw_noise_stddev = x @ self.w_noise noise_stddev = ((self.softplus(raw_noise_stddev) + noise_epsilon)) noisy_logits = clean_logits + (torch.randn_like(clean_logits) * noise_stddev) logits = noisy_logits else: logits = clean_logits # calculate topk + 1 that will be needed for the noisy gates top_logits, top_indices = logits.topk(min(self.k + 1, self.num_experts), dim=1) top_k_logits = top_logits[:, :self.k] top_k_indices = top_indices[:, :self.k] top_k_gates = self.softmax(top_k_logits) zeros = torch.zeros_like(logits, requires_grad=True) gates = zeros.scatter(1, top_k_indices, top_k_gates) if self.noisy_gating and self.k < self.num_experts and train: load = (self._prob_in_top_k(clean_logits, noisy_logits, noise_stddev, top_logits)).sum(0) else: load = self._gates_to_load(gates) return gates, load, top_k_indices[0] def forward(self, x_ds, D_Kernel, loss_coef=1e-2): gates, load, index_1 = self.noisy_top_k_gating(x_ds, self.training) # calculate importance loss importance = gates.sum(0) loss = self.cv_squared(importance) + self.cv_squared(load) loss *= loss_coef dispatcher = SparseDispatcher(self.num_experts, gates) expert_kernel = dispatcher.dispatch(D_Kernel, index_1) expert_outputs = [self.experts[i](expert_kernel[i]) for i in range(self.num_experts)] return expert_outputs, loss def default_conv(in_channels, out_channels, kernel_size, bias=True): return nn.Conv2d(in_channels, out_channels, kernel_size, padding=(kernel_size // 2), bias=bias) class CALayer(nn.Module): def __init__(self, channel, reduction=16): super(CALayer, self).__init__() self.avg_pool = nn.AdaptiveAvgPool2d(1) self.conv_du = nn.Sequential( nn.Conv2d(channel, channel // reduction, 1, padding=0, bias=True), nn.ReLU(inplace=True), nn.Conv2d(channel // reduction, channel, 1, padding=0, bias=True), nn.Sigmoid() ) def forward(self, x): y = self.avg_pool(x) y = self.conv_du(y) return x * y class RCAB(nn.Module): def __init__( self, conv, n_feat, kernel_size, reduction, bias=True, bn=False, act=nn.ReLU(True), res_scale=1): super(RCAB, self).__init__() modules_body = [] for i in range(2): modules_body.append(conv(n_feat, n_feat, kernel_size, bias=bias)) if bn: modules_body.append(nn.BatchNorm2d(n_feat)) if i == 0: modules_body.append(act) modules_body.append(CALayer(n_feat, reduction)) self.body = nn.Sequential(*modules_body) self.res_scale = res_scale def forward(self, x): res = self.body(x) res += x return res class ResidualGroup(nn.Module): def __init__(self, conv, n_feat, kernel_size, reduction, n_resblocks): super(ResidualGroup, self).__init__() modules_body = [] modules_body = [ RCAB( conv, n_feat, kernel_size, reduction, bias=True, bn=False, act=nn.LeakyReLU(negative_slope=0.2, inplace=True), res_scale=1) \ for _ in range(n_resblocks)] modules_body.append(conv(n_feat, n_feat, kernel_size)) self.body = nn.Sequential(*modules_body) def forward(self, x): res = self.body(x) res += x return res class ResBlock(nn.Module): def __init__(self, in_feat, out_feat, stride=1): super(ResBlock, self).__init__() self.backbone = nn.Sequential( nn.Conv2d(in_feat, out_feat, kernel_size=3, stride=stride, padding=1, bias=False), nn.BatchNorm2d(out_feat), nn.LeakyReLU(0.1, True), nn.Conv2d(out_feat, out_feat, kernel_size=3, padding=1, bias=False), nn.BatchNorm2d(out_feat), ) self.shortcut = nn.Sequential( nn.Conv2d(in_feat, out_feat, kernel_size=1, stride=stride, bias=False), nn.BatchNorm2d(out_feat) ) def forward(self, x): return nn.LeakyReLU(0.1, True)(self.backbone(x) + self.shortcut(x)) class DaEncoder(nn.Module): def __init__(self, nfeats): super(DaEncoder, self).__init__() self.E_pre = nn.Sequential( ResBlock(in_feat=1, out_feat=nfeats // 2, stride=1), ResBlock(in_feat=nfeats // 2, out_feat=nfeats, stride=1), ResBlock(in_feat=nfeats, out_feat=nfeats, stride=1) ) self.E = nn.Sequential( nn.Conv2d(nfeats, nfeats * 2, kernel_size=3, stride=2, padding=1), nn.BatchNorm2d(nfeats * 2), nn.LeakyReLU(0.1, True), nn.Conv2d(nfeats * 2, nfeats * 4, kernel_size=3, stride=2, padding=1), nn.BatchNorm2d(nfeats * 4), nn.AdaptiveAvgPool2d(1) ) def forward(self, x): inter = self.E_pre(x) fea = self.E(inter) out = fea.squeeze(-1).squeeze(-1) return fea, out, inter class generateKernel(nn.Module): def __init__(self, nfeats, kernel_size=5): super(generateKernel, self).__init__() self.mlp = nn.Sequential( nn.Linear(nfeats * 4, nfeats), nn.LeakyReLU(0.1, True), nn.Linear(nfeats, kernel_size * kernel_size) ) def forward(self, D_Kernel): D_Kernel = self.mlp(D_Kernel) return D_Kernel class DAB(nn.Module): def __init__(self): super(DAB, self).__init__() self.relu = nn.LeakyReLU(0.1, True) self.conv = default_conv(1, 1, 1) def forward(self, x, D_Kernel): b, c, h, w = x.size() b1, l = D_Kernel.shape kernel_size = int(math.sqrt(l)) with torch.no_grad(): kernel = D_Kernel.view(-1, 1, kernel_size, kernel_size) out = F.conv2d(x.view(1, -1, h, w), kernel, groups=b * c, padding=(kernel_size - 1) // 2) out = out.view(b, -1, h, w) out = self.conv(self.relu(out).view(b, -1, h, w)) return out class DR(nn.Module): def __init__(self, nfeats, num_experts=4, k=3): super(DR, self).__init__() self.topK = k self.num_experts = num_experts self.start_idx = num_experts - k self.c1 = ResBlock(in_feat=1, out_feat=nfeats, stride=1) self.gap = nn.AdaptiveMaxPool2d(1) self.gap2 = nn.AdaptiveAvgPool2d(1) self.fc1 = nn.Linear(nfeats, nfeats * 4) self.dab = [DAB(), DAB(), DAB()] self.dab_list = nn.ModuleList(self.dab) self.DecoderMoE = DecMoE(ds_inputsize=nfeats * 4, input_size=1, output_size=1, num_experts=num_experts, hidden_size=nfeats, noisy_gating=True, k=k, trainingmode=True) self.conv = default_conv(1, 1, 1) def forward(self, lr, sr, D_Kernel): y1 = F.interpolate(lr, scale_factor=0.125, mode='bicubic', align_corners=True, recompute_scale_factor=True) y2 = self.c1(y1) y3 = self.gap(y2) + self.gap2(y2) y4 = y3.view(y3.shape[0], -1) y5 = self.fc1(y4) D_Kernel_list, aux_loss = self.DecoderMoE(y5, D_Kernel, loss_coef=0.02) sorted_D_Kernel_list = sorted(D_Kernel_list, key=lambda x: (x.size(0), x.size(1))) sum_result = None for iidx in range(self.start_idx, self.num_experts): res_d = self.dab_list[iidx - self.start_idx](sr, sorted_D_Kernel_list[iidx]) if sum_result is None: sum_result = res_d else: sum_result += res_d out = self.conv(sum_result) return out, aux_loss class DA_rgb(nn.Module): def __init__(self, channels_in, channels_out, kernel_size, reduction): super(DA_rgb, self).__init__() self.kernel_size = kernel_size self.channels_out = channels_out self.channels_in = channels_in self.dcnrgb = DCN_layer_rgb(self.channels_in, self.channels_out, kernel_size, padding=(kernel_size - 1) // 2, bias=False) self.rcab1 = RCAB(default_conv, channels_out, 3, reduction) self.relu = nn.LeakyReLU(0.1, True) self.conv = default_conv(channels_in, channels_out, 3) def forward(self, x, inter, fea): out1 = self.rcab1(x) out2 = self.dcnrgb(out1, inter, fea) out = self.conv(out2 + out1) return out class FusionBlock(nn.Module): def __init__(self, channels_in, channels_out): super(FusionBlock, self).__init__() self.conv1 = default_conv(channels_in, channels_in // 4, 1) self.conv2 = default_conv(channels_in, channels_in // 4, 1) self.conv3 = default_conv(channels_in // 4, channels_in, 1) self.sigmoid = nn.Sigmoid() self.conv = default_conv(2 * channels_in, channels_out, 3) def forward(self, rgb, dep, inter): inter1 = self.conv1(inter) rgb1 = self.conv2(rgb) w = torch.sigmoid(inter1) rgb2 = rgb1 * w rgb3 = self.conv3(rgb2) + rgb cat1 = torch.cat([rgb3, dep], dim=1) out = self.conv(cat1) return out class DOFT(nn.Module): def __init__(self, channels_in, channels_out, kernel_size, reduction): super(DOFT, self).__init__() self.channels_out = channels_out self.channels_in = channels_in self.kernel_size = kernel_size self.DA_rgb = DA_rgb(channels_in, channels_out, kernel_size, reduction) self.fb = FusionBlock(channels_in, channels_out) self.relu = nn.LeakyReLU(0.1, True) def forward(self, x, inter, rgb, fea): rgb = self.DA_rgb(rgb, inter, fea) out1 = self.fb(rgb, x, inter) out = x + out1 return out class DSRN(nn.Module): def __init__(self, nfeats=64, reduction=16, conv=default_conv): super(DSRN, self).__init__() kernel_size = 3 n_feats = nfeats # head module modules_head = [conv(1, n_feats, kernel_size)] self.head = nn.Sequential(*modules_head) modules_head_rgb = [conv(3, n_feats, kernel_size)] self.head_rgb = nn.Sequential(*modules_head_rgb) self.dgm1 = DOFT(n_feats, n_feats, 3, reduction) self.dgm2 = DOFT(n_feats, n_feats, 3, reduction) self.dgm3 = DOFT(n_feats, n_feats, 3, reduction) self.dgm4 = DOFT(n_feats, n_feats, 3, reduction) self.dgm5 = DOFT(n_feats, n_feats, 3, reduction) self.c_d1 = ResidualGroup(conv, n_feats, 3, reduction=reduction, n_resblocks=2) self.c_d2 = ResidualGroup(conv, n_feats, 3, reduction=reduction, n_resblocks=2) self.c_d3 = ResidualGroup(conv, n_feats, 3, reduction=reduction, n_resblocks=2) self.c_d4 = ResidualGroup(conv, n_feats, 3, reduction=reduction, n_resblocks=2) modules_d5 = [conv(5 * n_feats, n_feats, 1), ResidualGroup(conv, n_feats, 3, reduction=reduction, n_resblocks=2)] self.c_d5 = nn.Sequential(*modules_d5) self.c_r1 = conv(n_feats, n_feats, kernel_size) self.c_r2 = conv(n_feats, n_feats, kernel_size) self.c_r3 = conv(n_feats, n_feats, kernel_size) self.c_r4 = conv(n_feats, n_feats, kernel_size) self.act = nn.LeakyReLU(0.1, True) # tail modules_tail = [conv(n_feats, 1, kernel_size)] self.tail = nn.Sequential(*modules_tail) def forward(self, x, inter, rgb, fea): # head x = self.head(x) rgb = self.head_rgb(rgb) rgb1 = self.c_r1(rgb) rgb2 = self.c_r2(self.act(rgb1)) rgb3 = self.c_r3(self.act(rgb2)) rgb4 = self.c_r4(self.act(rgb3)) dep10 = self.dgm1(x, inter, rgb, fea) dep1 = self.c_d1(dep10) dep20 = self.dgm2(dep1, inter, rgb1, fea) dep2 = self.c_d2(self.act(dep20)) dep30 = self.dgm3(dep2, inter, rgb2, fea) dep3 = self.c_d3(self.act(dep30)) dep40 = self.dgm4(dep3, inter, rgb3, fea) dep4 = self.c_d4(self.act(dep40)) dep50 = self.dgm5(dep4, inter, rgb4, fea) cat1 = torch.cat([dep1, dep2, dep3, dep4, dep50], dim=1) dep6 = self.c_d5(cat1) res = dep6 + x out = self.tail(res) return out class Net(nn.Module): def __init__(self, tiny_model=False): super(Net, self).__init__() if tiny_model: n_feats = 24 reduction = 4 else: n_feats = 64 reduction = 16 # Restorer self.R = DSRN(nfeats=n_feats, reduction=reduction) self.training = False # Encoder self.Enc = DaEncoder(nfeats=n_feats) self.Dab = DR(nfeats=n_feats) def forward(self, x_query, rgb): fea, d_kernel, inter = self.Enc(x_query) restored = self.R(x_query, inter, rgb, fea) if self.training: d_lr_, aux_loss = self.Dab(x_query, restored, d_kernel) return restored, d_lr_, aux_loss else: return restored