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import numpy as np
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import torch
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import torch.nn as nn
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def get_filter_2d(kernel, kernel_size, channels, no_grad=True):
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# Reshape to 2d depthwise convolutional weight
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kernel = kernel.view(1, 1, kernel_size, kernel_size)
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kernel = kernel.repeat(channels, 1, 1, 1)
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filter = nn.Conv2d(in_channels=channels, out_channels=channels, kernel_size=kernel_size, groups=channels,
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bias=False, padding=kernel_size // 2)
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filter.weight.data = kernel
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if no_grad:
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filter.weight.requires_grad = False
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return filter
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def get_filter_1d(kernel, kernel_size, channels, no_grad=True):
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kernel = kernel.view(1, 1, kernel_size)
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kernel = kernel.repeat(channels, 1, 1)
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filter = nn.Conv1d(in_channels=channels, out_channels=channels, kernel_size=kernel_size, groups=channels,
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bias=False, padding=kernel_size // 2)
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filter.weight.data = kernel
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if no_grad:
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filter.weight.requires_grad = False
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return filter
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def get_gaussian_kernel_2d(kernel_size, sigma):
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# Create a x, y coordinate grid of shape (kernel_size, kernel_size, 2)
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x_coord = torch.arange(kernel_size)
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x_grid = x_coord.repeat(kernel_size).view(kernel_size, kernel_size)
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y_grid = x_grid.t()
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xy_grid = torch.stack([x_grid, y_grid], dim=-1).float()
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mean = (kernel_size - 1) / 2.
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variance = sigma ** 2.
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# Calculate the 2-dimensional gaussian kernel which is
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# the product of two gaussian distributions for two different
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# variables (in this case called x and y)
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gaussian_kernel = (1. / (2. * np.pi * variance)) * torch.exp(
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-torch.sum((xy_grid - mean) ** 2., dim=-1) / (2 * variance))
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# Make sure sum of values in gaussian kernel equals 1.
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gaussian_kernel = gaussian_kernel / torch.sum(gaussian_kernel)
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return gaussian_kernel
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def get_gaussian_kernel_1d(kernel_size, sigma):
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x_grid = torch.arange(kernel_size)
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mean = (kernel_size - 1) / 2.
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variance = sigma ** 2.
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gaussian_kernel = (1. / ((2. * np.pi) ** 0.5 * sigma)) * torch.exp(-(x_grid - mean) ** 2. / (2 * variance))
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gaussian_kernel = gaussian_kernel / torch.sum(gaussian_kernel)
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return gaussian_kernel
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def get_hann_kernel_1d(kernel_size, periodic=False):
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# periodic=False gives symmetric kernel, otherwise equivalent to hann(kernel_size + 1)
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return torch.hann_window(kernel_size, periodic)
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def get_triangle_kernel_1d(kernel_size):
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kernel = torch.zeros(kernel_size)
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for idx in range(kernel_size):
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kernel[idx] = 1 - abs((idx - (kernel_size - 1) / 2) / ((kernel_size - 1) / 2))
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return kernel
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def add_gaussian_noise(tensor, mean=0, std=1):
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noise = torch.randn(tensor.size()) * std + mean
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noisy_tensor = tensor + noise
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return noisy_tensor
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