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a simple code for the demonstration of deep learning in MR spectroscopy utilizing Pytorch
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 285
},
"id": "mpqsFMMMQm5x",
"outputId": "326b652b-48a5-45c1-eefb-c0fcc269aa14"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from numpy.fft import fft, fftshift\n",
"plt.style.use('fivethirtyeight')\n",
"\n",
"t=np.arange(0,1024)*.01\n",
"f = np.linspace(-1/0.01, 1/0.01,1024)\n",
"ampl = np.random.normal(1,0.2,(1000,1))\n",
"fr = np.random.normal(-15,0.1,(1000,1))\n",
"sig1 = ampl * np.exp(-2*t) *np.exp(2*np.pi*fr*t*1j)\n",
"\n",
"ampl2 = np.random.normal(1,0.2,(1000,1))\n",
"fr2 = np.random.normal(0,0.1,(1000,1))\n",
"sig2 = ampl2 * np.exp(-2*t) *np.exp(2*np.pi*fr2*t*1j)\n",
"\n",
"ampl3 = np.random.normal(1,0.2,(1000,1))\n",
"fr3 = np.random.normal(15,0.1,(1000,1))\n",
"sig3 = ampl3 * np.exp(-2*t) *np.exp(2*np.pi*fr3*t*1j)\n",
"\n",
"sig = sig1 + sig2 +sig3\n",
"noise = np.random.normal(0,1,(sig.shape)) + 1j*np.random.normal(0,1,(sig.shape))\n",
"sig = sig + 0.1*noise\n",
"\n",
"sig = fftshift(fft(sig,axis=1),axes=1)\n",
"\n",
"plt.plot(f,sig[0,:].T)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"source": [
"import os\n",
"\n",
"import torch\n",
"from torch import nn\n",
"from torch.utils.data import Dataset\n",
"from torch.utils.data import DataLoader"
],
"metadata": {
"id": "wVAIvlDdTKI7"
},
"execution_count": 66,
"outputs": []
},
{
"cell_type": "code",
"source": [
"sig_tensor = torch.from_numpy(sig.real).float()\n",
"\n",
"train_dataloader = DataLoader(sig_tensor, batch_size=64, shuffle=True)"
],
"metadata": {
"id": "Rd78TIXPTFlj"
},
"execution_count": 67,
"outputs": []
},
{
"cell_type": "code",
"source": [
"class AE(torch.nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
"\n",
" self.encoder = torch.nn.Sequential(\n",
" torch.nn.Linear(1024, 128),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(128, 32),\n",
" )\n",
" \n",
" self.decoder = torch.nn.Sequential(\n",
" torch.nn.Linear(32, 128),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(128, 1024),\n",
" )\n",
" \n",
" def forward(self, x):\n",
" encoded = self.encoder(x)\n",
" decoded = self.decoder(encoded)\n",
" return decoded"
],
"metadata": {
"id": "kiX1OhMTUtYV"
},
"execution_count": 68,
"outputs": []
},
{
"cell_type": "code",
"source": [
"\n",
"model = AE()\n",
" \n",
"loss_function = torch.nn.MSELoss()\n",
" \n",
"optimizer = torch.optim.Adam(model.parameters(),\n",
" lr = 1e-3,\n",
" weight_decay = 1e-8)"
],
"metadata": {
"id": "egbW0F_wVGeU"
},
"execution_count": 69,
"outputs": []
},
{
"cell_type": "code",
"source": [
"\n",
"epochs = 50\n",
"outputs = []\n",
"losses = []\n",
"\n",
"for epoch in range(epochs):\n",
" for signal in train_dataloader:\n",
"\n",
" optimizer.zero_grad() \n",
"\n",
" signal = signal.reshape(-1, 1024)\n",
" \n",
" reconstructed = model(signal)\n",
"\n",
" loss = loss_function(reconstructed, signal)\n",
" \n",
" \n",
" loss.backward()\n",
"\n",
" optimizer.step()\n",
" \n",
" losses.append(loss.detach().numpy())\n",
"\n",
" outputs.append((epochs, signal, reconstructed.detach()))\n",
" \n",
"plt.xlabel('Iterations')\n",
"plt.ylabel('Loss')\n",
"plt.plot(losses[-100:])"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 321
},
"id": "K2yYTVzMVKRs",
"outputId": "322d0445-de90-4464-c92f-ad65c1ab2d99"
},
"execution_count": 70,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7273d77100>]"
]
},
"metadata": {},
"execution_count": 70
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(f,150+outputs[-1][1][1].T)\n",
"plt.plot(f,outputs[-1][2][1].T)\n",
"plt.plot(f,100+outputs[-1][2][1].T - outputs[-1][1][1].T)\n",
"plt.legend(['Orginal', 'Reconstructed', 'Diffrence'],bbox_to_anchor=(1.04, 1), loc=\"upper left\")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "YV2FR7NTXAWT",
"outputId": "b5199647-13bc-4441-8397-cdb528f3fbf1"
},
"execution_count": 77,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
}
]
}
@amirshamaei
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