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Python

import torch
from torch import nn
import numpy as np
class SineLayer(nn.Module):
# See paper sec. 3.2, final paragraph, and supplement Sec. 1.5 for discussion of omega_0.
# If is_first=True, omega_0 is a frequency factor which simply multiplies the activations before the
# nonlinearity. Different signals may require different omega_0 in the first layer - this is a
# hyperparameter.
# If is_first=False, then the weights will be divided by omega_0 so as to keep the magnitude of
# activations constant, but boost gradients to the weight matrix (see supplement Sec. 1.5)
def __init__(self, in_features, out_features, bias=True,
is_first=False, omega_0=30):
super().__init__()
self.omega_0 = omega_0
self.is_first = is_first
self.in_features = in_features
self.linear = nn.Linear(in_features, out_features, bias=bias)
self.init_weights()
def init_weights(self):
with torch.no_grad():
if self.is_first:
self.linear.weight.uniform_(-1 / self.in_features,
1 / self.in_features)
else:
self.linear.weight.uniform_(-np.sqrt(6 / self.in_features) / self.omega_0,
np.sqrt(6 / self.in_features) / self.omega_0)
def forward(self, input):
return torch.sin(self.omega_0 * self.linear(input))
class Siren(nn.Module):
def __init__(self, in_features, hidden_features, hidden_layers, out_features, outermost_linear=False,
first_omega_0=30, hidden_omega_0=30.):
super().__init__()
self.net = []
self.net.append(SineLayer(in_features, hidden_features[0],
is_first=True, omega_0=first_omega_0))
for i in range(hidden_layers):
self.net.append(SineLayer(hidden_features[i], hidden_features[i + 1],
is_first=False, omega_0=hidden_omega_0))
if outermost_linear:
final_linear = nn.Linear(hidden_features[-1], out_features)
with torch.no_grad():
final_linear.weight.uniform_(-np.sqrt(6 / hidden_features[-1]) / hidden_omega_0,
np.sqrt(6 / hidden_features[-1]) / hidden_omega_0)
self.net.append(final_linear)
else:
self.net.append(SineLayer(hidden_features[-1], out_features,
is_first=False, omega_0=hidden_omega_0))
self.net = nn.Sequential(*self.net)
def forward(self, x):
shape = x.shape[:-1]
output = self.net(x.view(-1, x.shape[-1]))
return output.view(*shape, -1)