From d28c6e1720235ca78764f5727528b83b4d52205e Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Jon=20Haitz=20Legarreta=20Gorro=C3=B1o?= Date: Mon, 4 Nov 2024 19:25:50 -0500 Subject: [PATCH] ENH: Add GP estimation notebook Add GP estimation notebook. --- docs/notebooks/dwi_gp_estimation.ipynb | 715 +++++++++++++++++++++++++ 1 file changed, 715 insertions(+) create mode 100644 docs/notebooks/dwi_gp_estimation.ipynb diff --git a/docs/notebooks/dwi_gp_estimation.ipynb b/docs/notebooks/dwi_gp_estimation.ipynb new file mode 100644 index 00000000..bff6305e --- /dev/null +++ b/docs/notebooks/dwi_gp_estimation.ipynb @@ -0,0 +1,715 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "d11e5969ed6af8a5", + "metadata": {}, + "source": [ + "Estimate a DWI signal using the eddymotion Gaussian Process (GP) regressor estimator." + ] + }, + { + "cell_type": "markdown", + "id": "3476a8e9cfefd4b8", + "metadata": {}, + "source": [ + "Download the \"Sherbrooke 3-shell\" dataset using DIPY and select the b=1000 s/mm^2 shell data." + ] + }, + { + "cell_type": "code", + "id": "69a3bc6b4fbe7036", + "metadata": { + "ExecuteTime": { + "end_time": "2024-11-05T12:49:16.660435Z", + "start_time": "2024-11-05T12:48:57.764579Z" + } + }, + "source": [ + "import dipy.data as dpd\n", + "import nibabel as nib\n", + "import numpy as np\n", + "from dipy.core.gradients import get_bval_indices\n", + "from dipy.io import read_bvals_bvecs\n", + "from dipy.segment.mask import median_otsu\n", + "\n", + "seed = 1234\n", + "rng = np.random.default_rng(seed)\n", + "\n", + "name = \"sherbrooke_3shell\"\n", + "\n", + "dwi_fname, bval_fname, bvec_fname = dpd.get_fnames(name=name)\n", + "dwi_data = nib.load(dwi_fname).get_fdata()\n", + "bvals, bvecs = read_bvals_bvecs(bval_fname, bvec_fname)\n", + "\n", + "_, brain_mask = median_otsu(dwi_data, vol_idx=[0])\n", + "\n", + "bval = 1000\n", + "indices = get_bval_indices(bvals, bval, tol=20)\n", + "\n", + "bvecs_shell = bvecs[indices]\n", + "shell_data = dwi_data[..., indices]" + ], + "outputs": [], + "execution_count": 25 + }, + { + "cell_type": "markdown", + "id": "9bd417117afaad49", + "metadata": {}, + "source": [ + "Visualize a slice of the data for a given DWI volume." + ] + }, + { + "cell_type": "code", + "id": "d8547475686958f3", + "metadata": { + "ExecuteTime": { + "end_time": "2024-11-05T12:49:16.719540Z", + "start_time": "2024-11-05T12:49:16.664199Z" + } + }, + "source": [ + "# Plot a slice\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "import numpy as np\n", + "\n", + "dwi_vol_idx = len(indices) // 2\n", + "slice_idx = list(map(int, np.divide(dwi_data.shape[:-1], 2)))\n", + "\n", + "x_slice = dwi_data[slice_idx[0], :, :, dwi_vol_idx]\n", + "y_slice = dwi_data[:, slice_idx[1], :, dwi_vol_idx]\n", + "z_slice = dwi_data[:, :, slice_idx[2], dwi_vol_idx]\n", + "slices = [x_slice, y_slice, z_slice]\n", + "\n", + "fig, axes = plt.subplots(1, len(slices))\n", + "for i, _slice in enumerate(slices):\n", + " axes[i].imshow(_slice.T, cmap=\"gray\", origin=\"lower\", aspect='equal')\n", + " axes[i].set_axis_off()\n", + "\n", + "plt.show()" + ], + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ], + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 26 + }, + { + "cell_type": "markdown", + "id": "9dcab811fe667617", + "metadata": {}, + "source": [ + "Define the EddyMotionGPR instance." + ] + }, + { + "cell_type": "code", + "id": "7d5d9562339bc849", + "metadata": { + "ExecuteTime": { + "end_time": "2024-11-05T12:49:16.749160Z", + "start_time": "2024-11-05T12:49:16.746586Z" + } + }, + "source": [ + "from eddymotion.model.gpr import EddyMotionGPR, SphericalKriging\n", + "\n", + "beta_a = 1.38\n", + "beta_l = 1 / 2.1\n", + "kernel = SphericalKriging(beta_a=beta_a, beta_l=beta_l)\n", + "\n", + "alpha = 0.1\n", + "disp = True\n", + "optimizer = None\n", + "gpr = EddyMotionGPR(kernel=kernel, alpha=alpha, disp=disp, optimizer=optimizer)\n" + ], + "outputs": [], + "execution_count": 27 + }, + { + "cell_type": "markdown", + "id": "ea5cc8036fa0ab48", + "metadata": {}, + "source": [ + "Do not optimize the parameters in the fitting. " + ] + }, + { + "cell_type": "code", + "id": "7e93b99c3b072d99", + "metadata": { + "ExecuteTime": { + "end_time": "2024-11-05T12:49:17.117261Z", + "start_time": "2024-11-05T12:49:16.788596Z" + } + }, + "source": [ + "X_train = bvecs_shell\n", + "# Consider only brain voxels\n", + "dwi_mask = np.repeat(brain_mask[..., np.newaxis], shell_data.shape[-1], axis=-1)\n", + "y = shell_data[dwi_mask].reshape((X_train.shape[0], -1))\n", + "gpr.fit(X_train, y)" + ], + "outputs": [ + { + "data": { + "text/plain": [ + "EddyMotionGPR(alpha=0.1, disp=True,\n", + " kernel=SphericalKriging (a=1.38, λ=0.47619047619047616),\n", + " optimizer=None)" + ], + "text/html": [ + "
EddyMotionGPR(alpha=0.1, disp=True,\n",
+       "              kernel=SphericalKriging (a=1.38, λ=0.47619047619047616),\n",
+       "              optimizer=None)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 28 + }, + { + "cell_type": "markdown", + "id": "dfdd82afbdb22790", + "metadata": {}, + "source": [ + "Predict on a randomly chosen direction." + ] + }, + { + "cell_type": "code", + "id": "ae3407b31b14928d", + "metadata": { + "ExecuteTime": { + "end_time": "2024-11-05T12:49:17.185297Z", + "start_time": "2024-11-05T12:49:17.173132Z" + } + }, + "source": [ + "# Pick a direction to predict\n", + "idx = rng.integers(0, len(indices))\n", + "X_test = bvecs_shell[idx][np.newaxis, :]\n", + "y_pred = gpr.predict(X_test)\n", + "\n", + "rmse = np.sqrt(np.mean(np.square(y[idx, ...] - y_pred.squeeze())))\n", + "_rmse_element = np.sqrt(np.square(y[idx, ...] - y_pred.squeeze()))\n", + "\n", + "print(f\"RMSE: {rmse}\")\n", + "threshold = 10\n", + "n_error_thr = len(_rmse_element[_rmse_element > threshold])\n", + "ratio = n_error_thr / len(_rmse_element) * 100\n", + "print(f\"Number of RMSE values above {threshold}: {n_error_thr} ({ratio:.2f}%)\")" + ], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RMSE: 20.177777097314834\n", + "Number of RMSE values above 10: 97093 (61.20%)\n" + ] + } + ], + "execution_count": 29 + }, + { + "cell_type": "markdown", + "id": "74b040c05621f2d9", + "metadata": {}, + "source": [ + "Visualize the prediction." + ] + }, + { + "cell_type": "code", + "id": "a130de2a03dff2b5", + "metadata": { + "ExecuteTime": { + "end_time": "2024-11-05T12:49:17.332312Z", + "start_time": "2024-11-05T12:49:17.279198Z" + } + }, + "source": [ + "# Reconstruct the data array\n", + "brain_mask_idx = np.where(brain_mask)\n", + "_y = np.zeros((shell_data.shape[:-1]), dtype=y.dtype)\n", + "_y[brain_mask_idx] = y_pred.squeeze()\n", + "\n", + "x_slice = _y[slice_idx[0], :, :]\n", + "y_slice = _y[:, slice_idx[1], :]\n", + "z_slice = _y[:, :, slice_idx[2]]\n", + "slices = [x_slice, y_slice, z_slice]\n", + "\n", + "fig, axes = plt.subplots(1, len(slices))\n", + "for i, _slice in enumerate(slices):\n", + " axes[i].imshow(_slice.T, cmap=\"gray\", origin=\"lower\", aspect='equal')\n", + " axes[i].set_axis_off()\n", + "\n", + "plt.show()" + ], + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ], + "image/png": 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" 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