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udpdated Unet
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philouc committed Feb 12, 2025
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8 changes: 3 additions & 5 deletions src/14.example_fastMRI_Unet.ipynb
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"repository, which is a collaborative research project aimed at advancing\n",
"the field of medical imaging using machine learning techniques.\n",
"\n",
".. math::\n",
"$$\\mathbf{\\hat{x}} = \\mathrm{arg} \\min_{\\mathbf{x}} || \\mathcal{U}_\\mathbf{\\theta}(\\mathbf{y}) - \\mathbf{x} ||_2^2$$\n",
"\n",
" \\mathbf{\\hat{x}} = \\mathrm{arg} \\min_{\\mathbf{x}} || \\mathcal{U}_\\mathbf{\\theta}(\\mathbf{y}) - \\mathbf{x} ||_2^2\n",
"\n",
"where :math:`\\mathbf{\\hat{x}}` is the reconstructed MRI image, :math:`\\mathbf{x}` is the ground truth image,\n",
":math:`\\mathbf{y}` is the input MRI image (e.g., k-space data), and :math:`\\mathcal{U}_\\mathbf{\\theta}` is the U-Net model parameterized by :math:`\\theta`.\n",
"where $\\mathbf{\\hat{x}}$ is the reconstructed MRI image, $\\mathbf{x}$ is the ground truth image,\n",
"$\\mathbf{y}$ is the input MRI image (e.g., k-space data), and $\\mathcal{U}_\\mathbf{\\theta}$ is the U-Net model parameterized by $\\theta$.\n",
"\n",
".. warning::\n",
" We train on a single image here. In practice, this should be done on a database like fastMRI [fastmri]_.\n",
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