{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Anomalous diffusion\n", "Diffusion processes are mostly used to describe the random motion of particles in fluids, but also apply to biological systems, like animals that search for food or cancer cells migrating through tissue. In an experimental setup, we may simply track the random motions of a particle/animal/cell over time and thereby use it as a probe to measure the diffusion coefficient of the fluid/habitat/tissue. However, by averaging over all measured movements, one may lose important information, as the diffusion coefficient may change over time or depending on the current position of the probe. Changes in the diffusion coefficient may be externally triggered, e.g. by a change in temperature for diffusing particles or a change in terrain within the foraging habitat of an animal. Furthermore, changes in diffusivity may be internally triggered, e.g. by the cell cycle of an invading cancer cell. Here, we present two examples of anomalous diffusion, one with a gradually changing diffusivity, and one with discrete regions of varying diffusivity.\n", "\n", "## Diffusion gradient\n", "Suppose we have a diffusion gradient, for example due to a temperature gradient across our sample, and we want to determine the diffusion coefficient for different positions along the axis of the gradient. To infer the spatially changing diffusion coefficient, we assume that the amplitude of the random walk of our particle changes gradually over time, as the particle moves through regions of varying diffusivity.\n", "\n", "For this example, we assume a positive, constant diffusion gradient, resulting in a linear increase of the diffusion coefficient $D$:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:11.438564Z", "iopub.status.busy": "2026-04-27T19:11:11.438404Z", "iopub.status.idle": "2026-04-27T19:11:11.741469Z", "shell.execute_reply": "2026-04-27T19:11:11.741020Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-v0_8-whitegrid') # plot styling\n", "\n", "D = np.linspace(0.0, 15., 500)\n", "x = np.arange(500)\n", "\n", "plt.figure(figsize=(8,2))\n", "plt.fill_between(x, D, 0)\n", "plt.xlabel('x position [a.u.]')\n", "plt.ylabel('D [a.u.]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Trajectory simulation\n", "For this example, we simply simulate a random walk of a particle assuming a Gaussian random walk with the standard deviation equal to the diffusion coefficient at the current position:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "execution": { "iopub.execute_input": "2026-04-27T19:11:11.761011Z", "iopub.status.busy": "2026-04-27T19:11:11.760812Z", "iopub.status.idle": "2026-04-27T19:11:11.780143Z", "shell.execute_reply": "2026-04-27T19:11:11.779578Z" } }, "outputs": [], "source": [ "np.random.seed(12337) # reproducable results\n", "trajectory = [[150., 150.]] # starting point\n", "\n", "for t in range(750):\n", " try:\n", " dc = D[int(trajectory[-1][0])] # look up diffusion coefficient\n", " except:\n", " if int(trajectory[-1][0]) >= 500: \n", " dc = 15. # constant diffusion coefficient on the far right\n", " else:\n", " dc = 0. # constant diffusion coefficient on the far left\n", " trajectory.append([p + np.random.normal(0, dc) for p in trajectory[-1]])\n", "\n", "trajectory = np.array(trajectory)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we plot this simulated trajectory, we see how the distance between two subsequent positions of the particle is significantly smaller on the left as compared to the right of our diffusion gradient (visible as gray shading):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:11.782004Z", "iopub.status.busy": "2026-04-27T19:11:11.781857Z", "iopub.status.idle": "2026-04-27T19:11:11.853265Z", "shell.execute_reply": "2026-04-27T19:11:11.852793Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 10))\n", "\n", "D_img = np.array([list(D)]*len(D))[:, :250]\n", "plt.imshow(D_img, cmap='Greys', alpha=0.9, zorder=0, interpolation='nearest')\n", "\n", "plt.scatter(*trajectory.T, lw=0.2, c='b', alpha=0.7, zorder=2, s=50)\n", "plt.plot(*trajectory.T, lw=1.5, c='k', zorder=1)\n", "plt.xlim([0, 250])\n", "plt.ylim([80, 250])\n", "plt.xlabel('x position [a.u.]')\n", "plt.ylabel('y position [a.u.]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modeling\n", "To model this example of anomalous diffusion, we first generate a low-level Gaussian observation model using `SymPy` random variables. Here, we assume that the velocity components of our particle are normally distributed, with zero mean. The current SymPy stack cannot derive the Jeffreys prior for this symbolic model, so *bayesloop* reports that it falls back to a flat parameter prior. As we further assume that the diffusion coefficient changes gradually across our sample, our particle should also gradually change its diffusivity as it moves across the sample. We therefore use a Gaussian random walk as the high-level model. As we do not know the amplitude of the change of diffusivity, we choose a `HyperStudy` as it enables the inference of this hyper-parameter." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:11.854425Z", "iopub.status.busy": "2026-04-27T19:11:11.854345Z", "iopub.status.idle": "2026-04-27T19:11:34.589688Z", "shell.execute_reply": "2026-04-27T19:11:34.589257Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ Created new study.\n", " --> Hyper-study\n", "+ Successfully imported array.\n", " + Trying to determine Jeffreys prior. This might take a moment...\n", " ! WARNING: Failed to determine Jeffreys prior. Will use flat prior instead.\n", "+ Observation model: normal. Parameter(s): ('D',)\n", "+ Transition model: Gaussian random walk. Hyper-Parameter(s): ['sigma']\n", "+ Set hyper-prior(s): ['uniform']\n", "+ Started new fit.\n", " + 20 analyses to run.\n", " + Cached observation likelihoods (28.6 MiB).\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a6e8d96263624e2393b54c528e716ba1", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/20 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,2))\n", "S.plot('D')\n", "plt.xlim([0, 750])\n", "plt.ylim([0, 8]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the diffusion coefficient changes quite irregularly over time, but this irregularity is just the result of the irregular path of our particle across the sample. However, this plot confirms that the chosen parameter boundaries for $D \\in (0, 15)$ suffice. We may re-plot the particle path from above, but this time color-code the particle positions with the corresponding inferred diffusivity values:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:34.860256Z", "iopub.status.busy": "2026-04-27T19:11:34.860175Z", "iopub.status.idle": "2026-04-27T19:11:34.961374Z", "shell.execute_reply": "2026-04-27T19:11:34.960892Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D_mean = S.get_parameter_mean_values('D') # extract posterior mean values of first (and only) parameter\n", "\n", "# prepare color coding\n", "m = plt.cm.ScalarMappable(cmap='RdYlBu')\n", "m.set_array(D_mean)\n", "m.autoscale()\n", "\n", "plt.figure(figsize=(8, 10))\n", "plt.imshow(D_img, cmap='Greys', alpha=0.9, zorder=0, interpolation='nearest')\n", "plt.scatter(*trajectory[1:].T, lw=0.2, c=[m.to_rgba(x) for x in D_mean], alpha=0.9, zorder=2, s=50)\n", "plt.plot(*trajectory[1:].T, lw=1.5, c='k', zorder=1)\n", "plt.xlim([0, 250])\n", "plt.ylim([80, 250])\n", "plt.xlabel('x position [a.u.]')\n", "plt.ylabel('y position [a.u.]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can directly compare the inferred mean values to the true values of the diffusion coefficient used in the simulation:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:34.962629Z", "iopub.status.busy": "2026-04-27T19:11:34.962519Z", "iopub.status.idle": "2026-04-27T19:11:34.998365Z", "shell.execute_reply": "2026-04-27T19:11:34.997934Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D = np.linspace(0.0, 15., 500)\n", "x = np.arange(500)\n", "\n", "plt.figure(figsize=(8,2))\n", "plt.fill_between(x, D, 0)\n", "plt.scatter(trajectory[1:, 0], D_mean, c='r', alpha=0.6)\n", "\n", "plt.xlim([0, 250])\n", "plt.ylim([0, 8])\n", "plt.xlabel('x position [a.u.]')\n", "plt.ylabel('D [a.u.]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To assess our choice for the hyper-parameter boundaries, we may further plot the inferred distribution of the magnitude of parameter changes between time steps. In this case, the distribution falls off to (approximately) zero on both sides, therefore the boundaries suffice." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:34.999730Z", "iopub.status.busy": "2026-04-27T19:11:34.999625Z", "iopub.status.idle": "2026-04-27T19:11:35.043294Z", "shell.execute_reply": "2026-04-27T19:11:35.042856Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,3))\n", "S.plot('sigma', alpha=0.7, facecolor='g')\n", "plt.xlim([0, 0.3]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regime-switch diffusion process\n", "\n", "While the first example investigated gradual variations, we now turn to abrupt jumps in diffusivity, as they may occur for proteins diffusing on a cell membrane. The binding and unbinding of the protein to other constituents of the membrane may inhibit or favor diffusion. In a very simplistic attempt to model this complex process, we assume only two different regimes of diffusivity, and arrange them spatially like a chessboard pattern. On the dark patches, the diffusivity reaches three times the value as on the light patches:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:35.044546Z", "iopub.status.busy": "2026-04-27T19:11:35.044451Z", "iopub.status.idle": "2026-04-27T19:11:35.097470Z", "shell.execute_reply": "2026-04-27T19:11:35.097180Z" } }, "outputs": [ { "data": { "image/png": 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K+fOf/xy77bZbruY6kyZNykHaMDwBAKgeFYvPtNgoLSBK53dOmzYtHnzwwbj88svjm9/8ZqWGBABAC6vYYfd0bsCNN94Yl156aRx55JGx/vrrx1e+8hXxCQBQxSp6zuc222wTN998cyWHAABArWwyDwBAbRGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAADxCQBA9THzCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQe/F50kknxXe/+91KDwMAgGqPz7vvvjsefPDBSg8DAIBqj885c+bE5ZdfHn379q30UAAAaGHtosJGjhwZhx12WPzjH/+o9FAAAKjm+JwwYUI8/vjjcdddd8XQoUP/7fNHjx4d8+bNKzI2KmfIkCE+/hoxbNiwSg+Bgvxs1w4/27WhS5cuseeee7aew+4LFy7M/yG6+OKLY7311qvUMAAAKKhi8Tlq1KjYaaedYo899qjUEAAAqJXD7mmF+8yZM6Nfv375/qJFi/Kf9957bzz55JOVGhYAANUYn2PGjIklS5bU37/yyivzn4MGDarUkAAAqNb47NWr1wr3119//fzn5ptvXqERAQBQ9ft8AgBQOyq+z2edyy67rNJDAACghZn5BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQCojfh89dVX48QTT4x+/frF5z73ubjhhhsqORwAAFpYu6iQZcuWxUknnRR9+/aNO++8M4fowIEDo2fPnnHIIYdUalgAAFTjzOfMmTNj++23j6FDh0bv3r3js5/9bPTv3z+eeOKJSg0JAIBqjc8PfehDcfXVV0fnzp1j+fLlOTofe+yx2HXXXSs1JAAAqvWwe0N77713zJgxI/baa6/Yf//9Kz0cAABaSJvladqxwp599tl8GD4dgt93331j8ODBK3x/wYIFMWnSpHyYvlOnThUbJ2UMGzbMR10jhgwZUukhUJCf7drhZ7s2LHiffbZWzHymRUfJwoULY9CgQXHeeedF+/btKz0sAACqacHR+PHjV3hs6623jsWLF8f8+fMrNSwAAKoxPqdPnx6nn356vPnmm/WPTZw4Mbp3755vAABUn7aVPNS+4447xoUXXhhTpkyJBx98MK644oo45ZRTKjUkAACqNT7XWWeduPbaa6Njx47x5S9/OS666KI49thj47jjjqvUkAAAaGEVXXCUrmY0atSoSg4BAIBaubY7AAC1RXwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAsHZdXnOfffZp8gu3adMmxo8f/37GBABALcfn66+/HhdeeGFssMEGa/Si8+bNi8suu+yDjg0AgFqMzy222CIOPfTQ6Nat2xq96OzZs2PcuHEfdGwAANRifN5zzz1NetENN9ywyX8HAIDq12wLjubPnx8XXHBBc70cAABVqNnic+nSpTF9+vTmejkAAKpQs8Vn165dY8yYMc31cgAAVCH7fAIAsHYtOGpou+22y3t4rs6kSZM+6JgAAKhSTY7PW2+9dZVzPV977bW4+eab46yzzmrOsQEAUOvxueuuu67yWP/+/aN3794xYsSIOOCAA5prbAAAVJlmO+eze/fuMW3atOZ6OQAAqlCTZz5//etfr/LYO++8E7/85S/j4x//eHONCwCAKtTk+LzmmmtWuJ8WH6277rrRt29f53wCANC88fmHP/yhqX8FAAAy+3wCAND64nPmzJmx/fbbN9fLAQBQhZotPjfYYIO49NJLm+vlAACoQs0Wnx06dIgjjjiiuV4OAIAq1OQFR3WX0HzppZdi2bJl+f7y5ctj0aJF8fzzz8ewYcOae4wAANRqfI4aNSrfevToEbNmzYqePXvm8z3TZTb33XfflhklAAC1edj9tttuy7ObDz30UHz4wx+OMWPGxMMPPxyf+tSnYrPNNmuZUQIAUJvxOXv27Nhjjz3y12l1+5NPPhldunSJs88+O373u9+1xBgBAKjV+EyH2f/2t7/lr7faaqt8nmfSuXPnePvtt5t/hAAA1O45n1/84hdj4MCBeVulAQMGxNe//vX40Ic+lA+9b7fddi0zSgAAajM+TznllNhkk02iY8eOsfPOO8cFF1wQ48aNi27dutnnEwCADx6f6VzONMvZvn37fP/www9fYSY03RpK2y6NHz8+DjrooDV5eQAAasQanfN5zjnnxPz589f4RefNm5f/DgAANHnmM20if+SRR0bbtmu2Pint+QkAAO8rPkeMGLEmTwMAgA8en67ZDgBARfb5BACA90t8AgBQjPgEAKAY8QkAwNp7haO0h+dNN90Uzz77bCxZsiRvw9TQrbfe2pzjAwCgluPzvPPOy+F5yCGHROfOnVtmVAAAVKUmx+fDDz8cY8eOzdd1BwCAFj3ns2fPnmt8pSMAAPjAh92HDh0aZ555Zmy++eax7rrrrvD9TTfdtKkvCQBAjWhyfJ5xxhn5z5NOOqn+sTZt2uSFR+nPSZMmNe8IAQCo3fi8//77W2YkAABUvSbHZ69evfKff/nLX2Lq1KmxbNmy2GKLLeJTn/rUKofgAQDgA8Xn3//+9zjttNPi5ZdfztG5dOnSePXVV/O5njfffHNekAQAAI1p8rL1YcOGxUYbbRR//OMf44477ojf/OY38cADD+T4vOSSS5r6cgAA1JAmx+df//rXOPfcc6Nr1671j2244YYxaNCgfCgeAACaLT5TdM6dO7fRy2465xMAgGaNz4MPPjgGDx4cEyZMiPnz5+dbmvH83ve+FwcddFBTXw4AgBrS5AVH3/nOd2LWrFlx4okn5r09k3XWWSe++MUv5g3oAQCg2eKzffv2cdlll8WFF14Yr7zySr6/2WabRadOnZr6UgAA1Jg1is/HHnss+vXrF+3atctfN7Rw4cJ47rnn6u//x3/8R/OPEgCA2onPY489Np/XmbZYSl+vjstrAgDwgePzhRdeaPRrAABo0dXu++yzT8yZM2eVx998883o379/U18OAIAaskYzn7///e/jwQcfzF+//vrr8f3vfz86dOiwwnPS42nVOwAAfKCZz1133XWF+3VbLDW0zTbbxLXXXrsmLwcAQI1ao5nP7t27x4gRI/LXvXr1ynt8duzYsaXHBgBArW+1tNtuu8XEiRNX+1xbLQEAsDq2WgIAoBhbLQEAsPZutZRMnTo1/vnPf+av//znP8ewYcPi9ttvb+6xAQBQ6/F52223xaGHHhqTJk2K559/Pk499dT429/+Fj/60Y/yDQAAmi0+b7jhhhg5cmTefulXv/pVbL/99vmxq666yuwnAADNG5/pSka77LJL/vqBBx6IAQMG5K832WSTeOedd5r6cgAA1JA1WnDU0JZbbhl33XVX3vtzxowZOT4XL14cN910U2y33XYtM0oAAGozPs8///w466yzYu7cuXH00UfHVlttlS+3ed9998X111/fMqMEAKA247N///4xYcKEvNq9a9eu+bHTTjstLrjgglh33XVbYowAANRqfCYzZ86Mn/70p3nLpaVLl8YWW2wRX/rSl6J3797NP0IAAGp3wdHjjz8e+++/fzzyyCPxkY98JN/SY4cddlg88cQTLTNKAABqc+bzsssui2OOOSbOOeecFR6/8sor44orrohx48Y15/gAAKjlmc+XXnopjjzyyFUeP+qoo/LG8wAA0Gzx2atXr3jmmWdWefzpp5+OHj16NPXlAACoIU0+7P7Nb34zhgwZEtOmTYudd965PjzHjBkTAwcObIkxAgBQq/H5hS98If85duzYuPnmm6NDhw55tfsll1wSBx54YEuMEQCAWt5qKQVoXYQCAECLxuftt98et912W97ns23btrHtttvmFfAHHXTQ+3k5AABqRJPjM11C84Ybbojjjz8+vv3tb+dN5p999tn43ve+F3PmzMmX3AQAgGaJz3Su58iRI2Offfapf2zAgAGxww47xIgRI8QnAADNt9XS4sWL83ZLK9tyyy3jnXfeaerLAQBQQ5ocn6effnoMHjw4XnzxxfrHZsyYka98lA7DAwBAsx12T+d7zpo1K1/LvVOnTtGuXbuYN29eLF++PB5++OF8SL6OKx4BAPCB4jNdvx0AAIrE56677vq+3ggAAJp8zicAALxf4hMAgGLEJwAAa298nn/++fGnP/0pX9kIAABadMFR586d46KLLsqbze+33375eu677bZbtGnTpqkvBQBAjWnyzGe6hnua+bzmmmvyHp+DBg2KPfbYIy655JJ46qmnWmaUAADU7jmfaZYzbbl08cUXx+9///s46qij4he/+EV89atfzdd8Hz16dCxcuLD5RwsAQG0ddk/SNdwfeOCBHJ4PPfRQ9OzZM0444YR8CP6tt96KK6+8Mh599NG48cYbm3/EAADUTnyeeuqp+TKaXbp0iQMPPDBuvfXW2Hnnneu/36dPn3y5zXReKAAAfKD47NGjRz6s/q8WGX3yk5+M22+/vakvDQBAlWtyfA4fPvzfPmfjjTfONwAAaMgm8wAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAALURn2+++WaceeaZ+Trxe+yxR4wYMcI14QEAqtj7urZ7c1i+fHkOz3SZzp/+9Kcxd+7cuPDCC6Nt27Zx/vnnV2pYAABU48zntGnT4qmnnsqzndtss02+JGeK0d/+9reVGhIAANUan+nymzfccEO+VnxD8+fPr9SQAACo1vhMh9vTeZ51li1bFmPHjo3dd9+9UkMCAKBaz/lc2RVXXBHPP/98/PKXv1ztc0aPHh3z5s0rOi7KGzJkiI+9RgwbNqzSQ6AgP9u1w892bejSpUvsueeerTM+U3jecsstcdVVV0WfPn0qPRwAAFpIxeNz+PDh8fOf/zwH6P7771/p4QAAUK3xOWrUqBg3blz88Ic/jAMOOKCSQwEAoJrjc+rUqXHttdfGSSedFLvssku89dZbK6yEBwCg+lQsPu+///5YunRpXHfddfnW0OTJkys1LAAAqjE+04xnugEAUDsqem13AABqi/gEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAA4hMAgOpj5hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAALUVn4sWLYrPf/7z8cgjj1R6KAAAVHN8Lly4MAYOHBgvvfRSpYcCAEA1x+eUKVPiS1/6Urz22muVHAYAALUQn48++mjstttucdttt1VyGAAAFNIuKujoo49u0vNPPvnk6NSpU4uNh7XDsGHDKj0EChkyZIjPuob42a4dfrZrw4IFC2LSpEmt75xPAABqh/gEAKAY8QkAQDHiEwCAYsQnAADFiE8AAGpjq6WGJk+eXOkhAADQwsx8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAMQnAADVx8wnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFCM+AQAoBjxCQBAMeITAIBixCcAAMWITwAAihGfAAAUIz4BABCfAABUHzOfAAAUIz4BAChGfAIAUIz4BACgGPEJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCAFAb8blw4cK48MIL45Of/GR85jOfiZtuuqmSwwEAoIW1iwq6/PLLY+LEiXHLLbfEjBkz4vzzz49NN900DjjggEoOCwCAaovPBQsWxO233x7/8z//EzvuuGO+vfTSS/HTn/5UfAIAVKmKHXZ/4YUXYsmSJdGvX7/6x3bZZZd4+umnY9myZZUaFgAA1Tjz+dZbb8WGG24Y7du3r3+sR48e+TzQOXPmRPfu3esfr4vRd999tyJjpawuXbr4yGtEOgJC7fCzXTv8bNeGd/9/lzV10rBdJQfcMDyTuvuLFi1a4fEUpMkrr7xScIRUyp577unDrxGTJk2q9BAoyM927fCzXVsWLlwYnTt3Xvvjs0OHDqtEZt399dZbb4XHu3btGr17985/p21bu0MBAFRamvFM4Zk6rSkqFp89e/aM2bNn5/M+27VrV38oPoXnyodm0vc32mijCo0UAIDGNGXGs07FphG33377HJVPPfVU/WNPPPFE9O3b1+wmAECVqlh8duzYMQ4//PAYOnRoPPPMMzF+/Pi8yfxxxx1XqSEBANDCKnoC5QUXXJD39zz++ONj2LBhccYZZ8R+++23wnNcBan2pHN/P//5z8cjjzxS6aHQQt58880488wzY9ddd4099tgjRowYUb+wkOrz6quvxoknnpi31vvc5z4XN9xwQ6WHRAs76aST4rvf/a7PuYrdd999se22265wS/9dX+uvcJRmP0eOHJlvq+MqSLUlBcg555yTLzhAdVq+fHn+D1Q6tztdVGLu3Ln5MrtpMWG6yhnVtyAhhUg6perOO+/MITpw4MB83v8hhxxS6eHRAu6+++548MEH44gjjvD5VrEpU6bEXnvtFcOHD69/LC0MX+vj899xFaTa+z/kFJ4pTqhe06ZNy+d6/+Uvf8l7+yYpRtMvoeKz+sycOTOf459OsUoLE9LOJf3798/n+IvP6pP26U6TRumXDarb1KlTo0+fPrHxxhs3+e+u1fsWuQpSbXn00Udjt912i9tuu63SQ6EFpf9QpcOudeFZZ/78+T73KvShD30orr766hye6RfLFJ2PPfZYPuWC6pN+iTzssMNi6623rvRQKBCf6ZfJ92OtnvlsylWQaP2OPvroSg+BAtLh9nSeZ8PDsmPHjo3dd9/d51/l9t5775gxY0Y+VLf//vtXejg0swkTJsTjjz8ed911V57ppnotX748Xn755XjooYdi9OjRsXTp0jjggAPyUayVLyDU6mY+m3IVJKB1uuKKK+L555+Ps88+u9JDoYVdc801cf311+er36RFZlSPNCk0ZMiQuPjii1e5UAzVZ8aMGfWNlo5spFOm0i8d6ZSLVj/z2ZSrIAGtMzxvueWWuOqqq/K5Q1S3uvMAU6gMGjQozjvvvDWaJWHtN2rUqNhpp51WOKpB9erVq1fekSZd2ahNmzb5vO50FOvcc8/NOxmts846rTc+m3IVJKB1SSskf/7zn+cAdQi2uhccpQVmAwYMqH8snQ+4ePHifJ6v06eqZ4V7+t86bafVcKLo3nvvjSeffLLCo6MldOvWbYX7W221Vf7FMu1g8u9+rtfqw+6uggTVO0sybty4+OEPfxgHH3xwpYdDC5o+fXqcfvrpeW/XOhMnTsz/z0l4Vo8xY8bkw66//vWv8y2d35tu6Wuqz5///Oe8QDgdeq+TTqdJQbomP9drdXy6ChJU5wrJa6+9Nr71rW/FLrvsko9m1N2ozkPt6WIiaS/XtJ1a2v8xzXafcsoplR4azXwYdvPNN6+/rb/++vmWvqb69OvXL58aOXjw4Lx9Xvq5Tud7fvOb31yjv79WH3ZP0rkDadVcugpS2qqjsasgAa3H/fffn1dGXnfddfnW0OTJkys2LlpGOvcr/bKRTrP48pe/nCcVjj32WJdShlYs9diNN94Yl156aRx55JH5F42vfOUraxyfbZbb0RsAgELW6sPuAABUF/EJAEAx4hMAgGLEJwAAxYhPAACKEZ8AABQjPgEAKEZ8AgBQjPgE+AC23XbbeOSRR/LXs2bNinvuuafR7zWnO+64I792ut19993Rkg444ID8Puk63QDNYa2/vCbA2uyhhx6Krl275q+vvPLKSBeNO/DAA1f5XnPbZJNN4pe//GV06dIlWtLPfvazuOuuu+KWW25p0fcBaof4BPgANt544/qvV75accPvtcQ101vy9et07949NthggxZ/H6B2OOwOtEq333577LTTTvHqq6/m+1OnTo2+ffvG+PHjV3luOvS95557xq233hq77bZbfOpTn4rrrrtulUPZacZy5513ji984Qvx2GOP1X9vwoQJcdhhh+XX32effWLcuHGrHFr/8Y9/HHfeeWe+1R2ibnjYfeHChXHFFVfEZz/72fj4xz8ep5xySrzxxhv5e9OnT8/P/d///d8YMGBAfp+TTz455syZs0afRYre66+/Pr9v+kw+85nPxKhRo1b7/PS89O9t+Pmk9wcoQXwCrdJRRx0V/fr1ixEjRuT4uvjii2O//fbL8daYdD7mr3/967jpppvi+9//ftxwww3xi1/8In8vhdjw4cNz8KXnpDg96aST4s0334ylS5fGWWedlc99TOdzfuc734lhw4bFlClTVnj9b3zjGzle0y0dDl/ZkCFD4r777ouRI0fmeF2yZEmcdtppsWzZsvrnpID84Q9/GGPHjo1nn302br755jX6LNKY02HxSy65JH7/+9/Ht7/97RzDzz33XBM/VYCWJz6BVqlNmzY5Ih9++OEYNGhQvPzyy3HRRRet9vkp9i699NLYcccdc6Aef/zx9TOYY8aMiWOPPTYOP/zw2HLLLfPr9enTJ0fgP//5zzwD2aNHj/jIRz4Shx56aI7ClQ95r7/++rHeeuvlWzpU3dDcuXPjN7/5TQ7k3XffPbbbbrt8fmga81/+8pf655155pl55vVjH/tYHHLIITlA18SHP/zhHOH9+/fPY/zqV7+ax/fSSy818VMFaHniE2i1tthiizxD+dvf/jbOO++8VaKvoU6dOuXoq5MOT0+bNq3+kH2KvobSofH0eLdu3XLMDR48OPbaa68cvOkcyKYsJHrllVfyDGeKyjrpddP403vU2Xzzzeu/7ty5cyxevHiNXj8F7YYbbhg/+MEP8mxqGudbb721wqwqwNpCfAKt2gsvvJAX3/y7LY3atVtxfWUKszR7mnTo0GGV56fD7XXxNnTo0By4X/rSl+Lpp5/Ofz744INrPMbGXn/l90jWXXfdeL/nv37961/P55WmUw9+8pOf5NXwayqNA6AU8Qm0WmlxUdrOKJ0rmbYDSguDVmfevHl5YU+ddEi7bpFNmoFMUdlQup8eTzOI6RzPNCt56qmnxq9+9as80/iHP/xhlfeoi9mVffSjH83x+9RTT9U/Nnv27LxYKr3HB/Xzn/88n+d54YUX5lMH0ixoOsd15dX3DSP3nXfeqb//t7/97QOPAWBNiU+gVZo/f35eJJSCMK1kP+aYY/KinjT7tzrf+9734sUXX4x77703n+f5ta99LT+eZg3T+Z1p4U46DzOdj5lmVNOipnR4PS0USueLvvbaa3kVfPreDjvssMrrd+zYMV5//fW8UGnl80G/+MUv5vGmGdr0988999w8O/npT3/6A38WKTZTeKexT5w4Mc4+++x8yH7RokX5+++9916O6DppNX1aFJU+izSetAiroXSOazrXFaAliE+gVbrqqqvy4p4TTjgh3z/99NNjwYIF8V//9V+r/TspUo8++ui8KnzgwIF5UU9y0EEH5WC75ppr8oKiRx99NAfZVlttFe3bt49rr702B2P6Xlr5nqI0xeTK0nZMKQDT81aedTz//PPzKvq0qCidQ5oOxafD4+n1P6g045liPL3/GWeckWd0991335g0aVL+/u9+97u8/VKd9G9Im9OnLaXSZ5FW8DeUXiM9DtAS2ixf3XEZgCqRZveOO+64mDx5clSDtDVU2sezsUP/1fB+QHUz8wnQCqVFQulQ+r86zaA5vP322w7BA81KfAK0Qn//+9/zofTGrujUnNJpCul8V4Dm4rA7AADFmPkEAKAY8QkAQDHiEwCAYsQnAADFiE8AAIoRnwAAFCM+AQAoRnwCABCl/D97RmQl3SChFAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.patches as mpatches\n", "\n", "# helper function for chessboard pattern\n", "def check_region(x, y):\n", " if (int(x) % 2 == 0 and int(y) % 2 == 0) or (int(x) % 2 == 1 and int(y) % 2 == 1):\n", " return True\n", " else:\n", " return False\n", "\n", "# create chessboard pattern\n", "n = 5\n", "D_img = np.array([0, 1]*int(np.ceil(0.5*(n**2))))[:-1].reshape([n, n])\n", "\n", "# plot chessboard pattern\n", "plt.figure(figsize=(8,8))\n", "plt.imshow(D_img, cmap='Greys', alpha=0.5, extent=[0, n, 0, n], zorder=0, interpolation='nearest')\n", "plt.grid(visible=False, which='major')\n", "plt.xlabel('x position [a.u.]')\n", "plt.ylabel('y position [a.u.]')\n", "\n", "# legend\n", "white_patch = mpatches.Patch(color='white', label='D = 0.03 a.u.')\n", "gray_patch = mpatches.Patch(color='0.5', label='D = 0.09 a.u.')\n", "legend = plt.legend(handles=[white_patch, gray_patch], \n", " bbox_to_anchor=(0., 1.02, 1., .102), \n", " loc=3,\n", " borderaxespad=0.,\n", " frameon = 1)\n", "frame = legend.get_frame()\n", "frame.set_facecolor('0.85')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Trajectory simulation\n", "Again, we simulate a random walk of a particle assuming a Gaussian random walk with the standard deviation equal to the diffusion coefficient at the current position:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:35.098632Z", "iopub.status.busy": "2026-04-27T19:11:35.098554Z", "iopub.status.idle": "2026-04-27T19:11:35.169648Z", "shell.execute_reply": "2026-04-27T19:11:35.169224Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(1274)\n", "\n", "D1 = 0.03\n", "D2 = 0.09\n", "\n", "trajectory = [[2.5, 2.5]]\n", "\n", "for t in range(2000):\n", " dc = D1 if check_region(*trajectory[-1]) else D2\n", " trajectory.append([x + np.random.normal(0, dc) for x in trajectory[-1]])\n", "\n", "trajectory = np.array(trajectory)\n", "\n", "# plotting\n", "plt.figure(figsize=(8,8))\n", "plt.imshow(D_img, cmap='Greys', alpha=0.5, extent=[0, n, 0, n], zorder=0, interpolation='nearest')\n", "plt.grid(visible=False, which='major')\n", "plt.xlabel('x position [a.u.]')\n", "plt.ylabel('y position [a.u.]')\n", "\n", "plt.scatter(*trajectory.T, lw=0.2, c='b', alpha=0.7, zorder=2, s=50)\n", "plt.plot(*trajectory.T, lw=1.5, c='k', zorder=1)\n", "\n", "plt.xlim([1, 5])\n", "plt.ylim([0, 4]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modeling\n", "The low-level model stays the same as in the previous example, a Gaussian observation model. As the parameter changes are not gradual in this example, however, we assume a regime-switching process for the high-level model. Here, we assign a small probability to all possible parameter values in each time step to account for the rare, but possible event of an abrupt parameter change. As we do not know this minimal probability value a priori, we again use a hyper-study to test different values. Note that we may keep our study instance defined as above and just load new data, adjust the parameter boundaries and alter the high-level model:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:35.170754Z", "iopub.status.busy": "2026-04-27T19:11:35.170665Z", "iopub.status.idle": "2026-04-27T19:11:37.222742Z", "shell.execute_reply": "2026-04-27T19:11:37.222249Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ Successfully imported array.\n", " + Trying to determine Jeffreys prior. This might take a moment...\n", " ! WARNING: Failed to determine Jeffreys prior. Will use flat prior instead.\n", "+ Observation model: normal. Parameter(s): ('D',)\n", "+ Transition model: Regime-switching model. Hyper-Parameter(s): ['log10pMin']\n", "+ Set hyper-prior(s): ['uniform']\n", "+ Started new fit.\n", " + 20 analyses to run.\n", " + Cached observation likelihoods (30.5 MiB).\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "fedd1578992f4529a3b026d4e786a28f", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/20 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,2))\n", "S.plot('D')\n", "plt.xlim([0, 2000])\n", "plt.ylim([0, .2]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The irregular spacing of the parameter jumps in time gets more regular once the parameter evolution is plotted on the chessboard pattern:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:37.557547Z", "iopub.status.busy": "2026-04-27T19:11:37.557467Z", "iopub.status.idle": "2026-04-27T19:11:37.748618Z", "shell.execute_reply": "2026-04-27T19:11:37.748143Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D_mean = S.get_parameter_mean_values('D')\n", "\n", "# prepare color coding\n", "m = plt.cm.ScalarMappable(cmap='RdYlBu')\n", "m.set_array([0.03, 0.09])\n", "m.autoscale()\n", "m.set_clim(0.03, 0.09)\n", "\n", "# plotting\n", "plt.figure(figsize=(8,8))\n", "plt.imshow(D_img, cmap='Greys', alpha=0.5, extent=[0, n, 0, n], zorder=0, interpolation='nearest')\n", "plt.grid(visible=False, which='major')\n", "plt.xlabel('x position [a.u.]')\n", "plt.ylabel('y position [a.u.]')\n", "\n", "plt.scatter(*trajectory[1:].T, lw=0.2, c=[m.to_rgba(x) for x in D_mean], alpha=0.9, zorder=2, s=50)\n", "plt.plot(*trajectory[1:].T, lw=1.5, c='k', zorder=1)\n", "\n", "cb = plt.colorbar(m, ax=plt.gca(), shrink=0.75)\n", "cb.set_label('diffusivity [a.u.]')\n", "\n", "plt.xlim([1, 5])\n", "plt.ylim([0, 4]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above shows that we can nicely reconstruct the spatial pattern in diffusivity for the region covered by the diffusing particle. Finally, we may plot a histogram to confirm that the inferred values for the diffusion coefficient (green histogram) align with the true values used in the simulation (red lines):" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:37.749777Z", "iopub.status.busy": "2026-04-27T19:11:37.749684Z", "iopub.status.idle": "2026-04-27T19:11:37.789307Z", "shell.execute_reply": "2026-04-27T19:11:37.788923Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,3))\n", "plt.hist(D_mean, 20, alpha=0.7, facecolor='g', density=True)\n", "plt.axvline(0.03, 0, 1600, lw=1, c='r')\n", "plt.axvline(0.09, 0, 1600, lw=1, c='r')\n", "plt.xlabel('diffusivity [a.u.]')\n", "plt.ylabel('probability density [a.u.]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model selection\n", "In the example above, we a priori assumed abrupt changes of the diffusion coefficient, because we knew the parameter dynamics from the simulation of our trajectory. In an experimental setup, however, one hardly knows the exact nature of the parameter dynamics beforehand. The big advantage of *bayesloop* is to compute the model evidence, i.e. the probability (density) of observing the data given the model one assumes. For a simple demonstration, we again choose the high-level model of the first example and assume gradual parameter fluctuations (we only adjust the scale for this example) and re-run the fit:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2026-04-27T19:11:37.790474Z", "iopub.status.busy": "2026-04-27T19:11:37.790401Z", "iopub.status.idle": "2026-04-27T19:12:01.147414Z", "shell.execute_reply": "2026-04-27T19:12:01.146949Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ Transition model: Gaussian random walk. Hyper-Parameter(s): ['sigma']\n", "+ Set hyper-prior(s): ['uniform']\n", "+ Started new fit.\n", " + 20 analyses to run.\n", " + Cached observation likelihoods (30.5 MiB).\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d8ed157904144860a93b5ec6355ec350", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/20 [00:00