Skip to content

Instantly share code, notes, and snippets.

@cdw
Created April 6, 2020 17:38
Show Gist options
  • Save cdw/7eb05795dd3c8c22dbf96f80ea058937 to your computer and use it in GitHub Desktop.
Save cdw/7eb05795dd3c8c22dbf96f80ea058937 to your computer and use it in GitHub Desktop.
Clustering metrics for comparing colony clusteringh
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Clustering metrics for cell colonies over time\n",
"\n",
"\n",
"We want some metrics to describe how cluster-y or colony-y (colonial?) the cells in our data are. There are a couple of low hanging fruits:\n",
"\n",
"- Cluster size\n",
"- Fraction in cluster\n",
"- Mean nearest neighbor distance\n",
"- Hopikins statistic\n",
"\n",
"Let's start by creating some synthetic data with varying levels of colonality and then working through each of these metrics. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"import imageio\n",
"\n",
"import scipy as sp\n",
"import scipy.spatial\n",
"\n",
"import sklearn as skl\n",
"import sklearn.datasets\n",
"import sklearn.cluster\n",
"import sklearn.preprocessing"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def enforce_min_dist(locs, r=1):\n",
" for l in locs:\n",
" dists = np.linalg.norm(locs-l, axis=1)\n",
" locs = locs[np.logical_or(dists>r, dists==0)]\n",
" return locs\n",
"\n",
"locs, _ = skl.datasets.make_blobs(100, 2)\n",
"locs = enforce_min_dist(locs, .3)\n",
"plt.plot(locs[:, 0], locs[:, 1], 'o')\n",
"plt.title(\"Sample\");"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"putative_radii = 1\n",
"\n",
"llocs = []\n",
"centers = np.array(((25,25),(25,50),(50,25),(50,50)))\n",
"seps = np.linspace(3, 25, 4)\n",
"for sep in seps:\n",
" locs = skl.datasets.make_blobs(50, 2, centers, sep)[0]\n",
" locs = enforce_min_dist(locs, putative_radii)\n",
" llocs.append(locs)\n",
"\n",
"panel_size = (12,3)\n",
"fig, axs = plt.subplots(1, len(seps), True, True, figsize=panel_size)\n",
"limits = (np.min(np.concatenate(llocs))-1, \n",
" np.max(np.concatenate(llocs))+1)\n",
"for sep, ax, locs in zip(seps, axs, llocs):\n",
" ax.plot(locs[:, 0], locs[:, 1], 'o')\n",
" ax.set(xlim=limits, ylim=limits, \n",
" aspect=1, title=\"Sep/std 25/%0.0f\"%sep)\n",
"plt.tight_layout()\n",
"plt.savefig(\"cluster_01.png\", dpi=220)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Those are some nice synthetic cases of very highly colonyish to very dispersed. Let's look at them via our proposed metrics:\n",
"\n",
"## Cluster number"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def dbscan(locs, eps, min_samples=2):\n",
" \"\"\"Cluster using DBSCAN\"\"\"\n",
" return skl.cluster.DBSCAN(eps=eps, min_samples=min_samples).fit(locs)\n",
"\n",
"def cluster_count(clustering):\n",
" \"\"\"Try and determine the number of discrete clusters\"\"\"\n",
" labels = clustering.labels_\n",
" n_clusters = len(set(labels)) - (1 if -1 in labels else 0)\n",
" n_noise = list(labels).count(-1)\n",
" return n_clusters, n_noise\n",
"\n",
"def plot_clusters(locs, cluster, ax=None):\n",
" \"\"\"Plot clusters with coloring, from https://tinyurl.com/s6zj6w9 \"\"\"\n",
" labels = cluster.labels_\n",
" core_samples_mask = np.zeros_like(labels, dtype=bool)\n",
" core_samples_mask[cluster.core_sample_indices_] = True\n",
" if ax is None:\n",
" fig, ax = plt.subplots(1,1)\n",
" unique_labels = set(labels)\n",
" colors = [plt.cm.Spectral(each) for each in \n",
" np.linspace(0, 1, len(unique_labels))]\n",
" for k, col in zip(unique_labels, colors):\n",
" if k == -1:\n",
" # Black used for noise.\n",
" col = [0, 0, 0, 1]\n",
" class_member_mask = (labels == k)\n",
" xy = locs[class_member_mask & core_samples_mask]\n",
" ax.plot(xy[:, 0], xy[:, 1], 'o', \n",
" markerfacecolor=tuple(col),\n",
" markeredgecolor='k', \n",
" markersize=14)\n",
" xy = locs[class_member_mask & ~core_samples_mask]\n",
" ax.plot(xy[:, 0], xy[:, 1], 'o', \n",
" markerfacecolor=tuple(col),\n",
" markeredgecolor='k', \n",
" markersize=6)\n",
" return ax\n",
"\n",
"def plot_cluster_set(llocs, title_fn, eps=10, fig=None):\n",
" if fig is None:\n",
" fig, axs = plt.subplots(1, len(llocs), True, True, figsize=panel_size)\n",
" else:\n",
" axs = fig.axes\n",
" for ax, locs in zip(axs, llocs):\n",
" clustering = dbscan(locs, eps)\n",
" plot_clusters(locs, clustering, ax)\n",
" ax.set(xlim=limits, \n",
" ylim=limits, \n",
" aspect=1, \n",
" title=title_fn(clustering))\n",
" return fig"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plot_cluster_set(llocs, \n",
" lambda c:\"%i clusters, %i singles\"%(cluster_count(c))\n",
" )\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So the number of clusters isn't a great metric by itself as a whole bunch of small clusters isn't really very colonyish, so we would prefer to have a metric of cluster size.\n",
"\n",
"## Cluster indivdual count"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"def mean_cluster_size(clustering):\n",
" labels = clustering.labels_\n",
" labels = labels[labels!=-1] # noise points aren't in cluster\n",
" return np.mean(np.unique(labels, return_counts=True)[1])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plot_cluster_set(llocs, \n",
" lambda c:\"mean cluster is %0.1f\"%(mean_cluster_size(c))\n",
" )\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That certainly matches up better with our intuitions about which has more mature colonies. It doesn't normalize for the number of cells in our field of view, let's fix that. \n",
"\n",
"## Mean cluster size as fraction of detected"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def mean_cluster_fraction(clustering):\n",
" mean = mean_cluster_size(clustering)\n",
" total = clustering.labels_.size\n",
" return mean/total\n",
"\n",
"fig = plot_cluster_set(llocs, \n",
" lambda c:\"mean fraction is %0.2f\"%(mean_cluster_fraction(c))\n",
" )\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Or altogether:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def cluster_stats(clustering):\n",
" count = \"Count %i clusters, %i singles\"%(cluster_count(clustering))\n",
" size = \"mean cluster size is %0.1f\"%(mean_cluster_size(clustering))\n",
" fraction = \"mean fraction/cluster is %0.2f\"%(mean_cluster_fraction(clustering))\n",
" return '\\n'.join((count, size, fraction))\n",
" \n",
"fig, axs = plt.subplots(1, 4, True, True, figsize=panel_size)\n",
"plot_cluster_set(llocs, cluster_stats, fig=fig)\n",
"plt.tight_layout()\n",
"plt.savefig(\"cluster_02.png\", dpi=220)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That is starting to get a whole lot better. Let's take another approach and look at the distribution of nearest neighbor distances across these cases. This is a cluster-free metric in that we don't need to assign cluster identity before calculation. \n",
"\n",
"## Nearest neighbors"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def nearest_neighbor_distances(locs):\n",
" dist_grid = sp.spatial.distance.cdist(locs, locs)\n",
" masked_grid = np.ma.array(dist_grid, \n",
" mask=np.eye(len(locs)))\n",
" return np.min(masked_grid, axis=1).data"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ddists = [nearest_neighbor_distances(locs) for locs in llocs]\n",
"max_dist = np.max([dists.max() for dists in ddists])\n",
"\n",
"fig, axs = plt.subplots(1, len(llocs), True, True, figsize=panel_size)\n",
"for ax, dists, std in zip(axs, ddists, seps):\n",
" sns.distplot(dists, ax=ax)\n",
" ax.set(xlim = (-1,30), \n",
" xlabel='NN dists', \n",
" title=\"NN dist \\n mean/median %0.1f/%0.1f\"%(np.mean(dists), np.median(dists))\n",
" )\n",
"axs[0].set(ylabel='Occurance rate')\n",
"plt.tight_layout()\n",
"plt.savefig(\"cluster_03.png\", dpi=220)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The distribution of nearest neighbor distances seems like a reasonable metric. I'll be interested to see it applied to real data. Let's take a look at it as a straight function of many more instantiations of our original synthetic data."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3de7xcZX3v8c+XsIFwDZFAQ0gIIk3LRRPcApraUhFBrlGORQQEWxs9LxU9YjwBsYQWKqd4rZ7aYlUoKMrNbQQVkatSSd0xCSFcDijhsokQLkGQHAzJr3+sNTB7M2v2zJqZNbP2/r5fr3ntmWdmrfXsFZjffm6/RxGBmZlZr9ms2xUwMzOrxQHKzMx6kgOUmZn1JAcoMzPrSQ5QZmbWkxygzMysJzlAWalICkmvSZ//q6RPt+GcB0t6pPXada8eknaRdKukZyV9rt116xZJZ0r6927Xw7rDAcraQtJqSY9J2qaq7P2Sbq56HZJWStqsquxcSRfluWZEfDAi/qHBur01zzXapYAgOB94Atg+Ik7v4HU6ptY9ioh/jIj3d6tO1l0OUNZOmwMfHeUzuwLvLqAu483uwF3RoyvvlfD3jTXF/8FYO10AfELSpDqf+SfgHEmbN3JCSQskrZH0qKS/HvHeRZLOTZ/vJOkaSeskPSXpZ5I2k3QJMAP4gaTnJH2yzrXOlPRE2uI6MS17Q9oy3Lzqc8dJWp5xjiMk3ZV2tQ1J+kTaqvwRsGtah+ck7SppYvo7PC3pLuANo9yLN0n6paRn0p9vqtwH4BTgk+m5X9FarFWvqveOkrQ8vXf/Kem1Ve+tlnRGeuzTkr4paav0vR3Te742fe8aSbtVHXuzpPMk3QY8D7xa0vsk3Z3W4zeSPpB+NuseLZJ0adU5j5G0Kq3rzZL+dERdPyHpjvQefbdSVyupiPDDj5YfwGrgrcDVwLlp2fuBm6s+E8BewFLg/WnZucBFGec8HHgM2BfYBvh2eo7XpO9fVHWtzwD/CvSljzcDqq5bnbofDLwIfB7YEvgL4PfArPT9u4C3V33+e8DpGedaA7w5fb4jsH/VNR4Z8dnzgZ8Bk4HpwJ0jP1P12cnA08DJJC3VE9LXrxp5L5qs1/7A48CBwASSQLca2LLq3t2Z1m8ycFvVPX8VcBywNbAdcAUwUHXNm4GHgH3SOvcBRwJ7Akrv8/Oj3KNFwKXp8z9O/10OTc/1SeB+YIuquv4XSSt9MnA38MFu/7/hR/6HW1DWbn8HfETSlIz3A/g08HeSthzlXH8FfDMi7oyI35N8WWXZAEwFdo+IDRHxs0i/tZrw6Yh4ISJuAa5Nrw9wMXASgKTJwGEkwTKrHntL2j4ino6IX9W53l8B50XEUxHxMPDPdT57JHBfRFwSES9GxGXAPcDRDf5uWfX6W+DfImJJRGyMiIuBF4CDqo79SkQ8HBFPAeeRBEci4smIuCoino+IZ9P3/mLEdS+KiFVpnTdExLUR8etI3AL8hOSPiUYcD1wbEddHxAbgs8BE4E1Vn/nniHg0resPgNkNntt6kAOUtVVE3AlcAyys85kfkvxlPX+U0+0KPFz1+sE6n72A5K/pn6RdR5nXz/B0GgSrr7Vr+vxS4GhJ25IElZ9FxJqM8xwHHAE8KOkWSW+sc81mfr9da7z/IDCtzjGN1Gt34PS0y2ydpHUkraVdq44dWcddASRtLenfJD0o6XfArcAkSRMyjkXS2yXdnnbDrkvrtFODv8OwexARm9LzV9+D31Y9fx7YtsFzWw9ygLJOOJvkL/N6X55nAZ8i6R7Ksobky7JiRtYHI+LZiDg9Il5N0qr4uKRDKm83UOcdVTUDMb3Wo+m5h4BfAO8g6WK7pE49fhkRxwI7AwPA5XXq0PDvl9Zl9xFlM4ChOsc0Uq+HSVpxk6oeW6cttIqRdXw0fX46MAs4MCK2B/48LVf1pStP0hbzVSQtn10iYhLww6rPj/bvNOweSFJat4bugZWPA5S1XUTcD3wXOK3OZ24GVpKMeWS5HDhV0t6StiYJfDWlA/2vSb+0fgdsTB+QjGO9uoGqnyNpC0lvBo4iGVOp+A+SMY/9SMagatVhC0knStoh7YKq1KNSh1dJ2mHE73dGOtlgN+Ajder2Q+CPJb1H0uaSjgf2Jmmt1jVKvb4GfFDSgUpsI+lISdtVneJDknZLuzfPJPm3hWTcaT2wLn0v898ntQXJGN9a4EVJbwfeVvV+rXtU7XLgSEmHSOojCZAvAP852j2wcnKAsk75e5KJDfWcRTKYXVNE/Aj4InAjSffdjXXOtRfwU+A5ktbOv6RBEJIJFGelXVifyDj+tySTDh4FvkUyuH5P1fvfI/nr/XsjugJHOhlYnXZ5fZB07Co912XAb9J67AqcQ9Jl9QDJWEy9ltmTJEHzdOBJkmB5VEQ8UacujdRrkKS1+5X0978fOHXEsd9O6/eb9HFuWv5FkjGgJ4DbgR/Xq0A6TnUaSaB5GngPsLjq/Vr3qPr4e9N6fzm95tHA0RHxhwbvgZVMZZaTmY1C0q+BD0TET7tdl6JIWk0y43Lc/M7WO9yCMmuApONIxkjqteLMrI0aWixpNp4pSde0N3ByOnPMzArgLj4zM+tJ7uIzM7OeVIouvp122ilmzpzZ7WqYmVkHLF269ImIeEX2mVIEqJkzZzI4ONjtapiZWQdIqplFpeNdfJImSFom6Zr09WRJ10u6L/25Y6frYGZm5VPEGNRHSbIKVywEboiIvYAbqJOzzczMxq+OBqg0fcuRQPWWzceSZIcm/Tmvk3UwM7Ny6nQL6oskKVmq147sUskEnf7cucN1MDOzEupYgJJ0FPB4RCzNefx8SYOSBteuXdvm2pmZWa/r5Cy+ucAxko4AtgK2T7dufkzS1IhYI2kqyW6erxARFwIXAvT393s1sZlZjxhYNsQF193Lo+vWs+ukiSw4bBbz5jS6NVnjOtaCiogzImK3iJgJvBu4MSJOIsleXNli4RTg+52qg5mZtdfAsiHOuHolQ+vWE8DQuvWccfVKBpa1f1uubmSSOB84VNJ9wKHpazMzK4ELrruX9Rs2Ditbv2EjF1x3b9uvVchC3XRfnpvT508Ch9T7vJmZ9aZH161vqrwVzsVnZmYN23XSxKbKW+EAZWZmDVtw2Cwm9k0YVjaxbwILDpvV9muVIhefmZn1hspsvSJm8TlAmZlZU+bNmdaRgDSSu/jMzKwnOUCZmVlPcoAyM7Oe5ABlZmY9yQHKzMx6kgOUmZn1JAcoMzPrSQ5QZmbWkxygzMysJzlAmZlZT3KqIzMza0pRO+o6QJmZWcMqO+pWNi2s7KgLtD1IuYvPzMwaVuSOug5QZmbWMO+oa2ZmPWlM7KgraStJ/yVphaRVks5JyxdJGpK0PH0c0ak6mJlZe42VHXVfAN4SEc9J6gN+LulH6XtfiIjPdvDaZmbWAWNiR92ICOC59GVf+ohOXc/MzIoxJnbUlTRB0nLgceD6iFiSvvVhSXdI+oakHTOOnS9pUNLg2rVrO1lNMzNrwsCyIeaefyN7LLyWueffyMCyoY5cp6MBKiI2RsRsYDfgAEn7Al8F9gRmA2uAz2Uce2FE9EdE/5QpUzpZTTMza1BlHdTQuvUEL6+D6kSQKmQWX0SsA24GDo+Ix9LAtQn4GnBAEXUwM7PWjYl1UJKmSJqUPp8IvBW4R9LUqo+9A7izU3UwM7P2KnIdVCdn8U0FLpY0gSQQXh4R10i6RNJskgkTq4EPdLAOZmbWRjtM7GPd+g01y9utk7P47gDm1Cg/uVPXNDOzzpKaK2+FM0mYmVnD1j3/ytZTvfJWOECZmVnDsrryOtHF5wBlZmYNcxefmZn1JHfxmZlZTxoT2czNzKw5RaUQasVYyWZuZmYNKnIr9VaMiWzmZmbWuHophHopQEFx2cwdoMzMekArKYQGlg0V0qIpmsegzMx6QN7JB0VmFy+aA5SZWQ1FT1jIO/mgyOziRXMXn5nZCN2YsJB38sFQRhdgVnmZOECZmY3QrQkLeSYfTJDYGFGzvOzcxWdmNkKRex61qlZwqldeJg5QZmYjFJktoVXTMuqUVV4mDlBmZiMUmS2hWp6JGd2qaxE8BmVmNkKR2RIq8k7M6EZdi6IoQT9lf39/DA4OdrsaZmajyrtodu75N9aceTdt0kRuW/iWTlS1Z0haGhH9I8s71oKStBVwK7Blep0rI+JsSZOB7wIzgdXAX0XE052qh5lZUVqZnt6NTBK9noGik2NQLwBviYjXAbOBwyUdBCwEboiIvYAb0tdmZqXXyqLZojNJlCEDRccCVCSeS1/2pY8AjgUuTssvBuZ1qg5mZkVqZdFs0ZkkypCBoqOz+CRNkLQceBy4PiKWALtExBqA9OfOGcfOlzQoaXDt2rWdrKaZWVtkLY5tZNHsvDnT+Mw792PapImIZOzpM+/cr2OZJMqw1qujASoiNkbEbGA34ABJ+zZx7IUR0R8R/VOmTOlcJc3M2qQbi2bzBsUyrPUqZB1URKwDbgYOBx6TNBUg/fl4EXUwM+u0VhbN5h0TyhsUy7B+qmMBStIUSZPS5xOBtwL3AIuBU9KPnQJ8v1N1MDMrUitf+nnHhPIGxbxdikXq5ELdqcDFkiaQBMLLI+IaSb8ALpf0N8BDwLs6WAczs8K0smg271jSgsNmDZvaDo0HxaJ2xs2rYwEqIu4A5tQofxI4pFPXNTPrprxf+nmzko/lTBJOdWRm1gNamWDR6y2hvBygzGxMK0uWhWmTJmamOuqU8ZxJwsysq8qUZaHoWXXjOpOEmVm3dSPLQp4tM6D4WXVlyCThLj4zK4U83VF5syXkPa6VZLGVzxTVxTbuM0mYmbVD3u6ovNkS8h5XhlZJxQ4T+5oq7wYHKDPreXm/+POO6+Q9rgytkoqs2esNpA0sjLv4zKwweWeN5f3iz7tGKO9xu2bMxOul/HYV657f0FR5NzhAmVkhWhmfaeWLP++4Tp7jWsnqULQyBFN38ZlZIVoZnylDYlMoR367igWHzaJvwvD+vL4J6ql76haUmRWilc38ypTOp5WZeIUvnB2ZpKJzu4Lk4gBlZoXIm2uuouh0PkUHi1anqDfrguvuZcOm4f8eGzYFF1x3b88E/lG7+CT9n0bKzMzq6cZmfnl1I8tC0VPUyzDjsJExqENrlL293RUxs7Gtlc38itaN9UxFB4xS76gr6X9KWgnMknRH1eMB4I7iqmhmY0FZJjpAd1oXRQeMMvx71GtBfRs4mmQH3KOrHq+PiJMKqJuZjSFlmuHWjdZF0QGjDP8eilH6fyXtCTwSES9IOhh4LfAfEbGugPoB0N/fH4ODg0VdzszGuZETFiAJFp3+Au/17S86RdLSiOh/RXkDAWo50A/MBK4jaVHNiogjOlDPmhygzKxo4zVYdENWgGpkmvmmiHhR0juBL0bElyUta+CC04H/AP4I2ARcGBFfkrQI+FtgbfrRMyPih43+ImZmRRiru9SWSSMBaoOkE4D3koxBATSS7vZF4PSI+JWk7YClkq5P3/tCRHy2+eqaWS8oU+uiTHW14RoJUO8DPgicFxEPSNoDuHS0gyJiDbAmff6spLsB/1dhVnJFLyhtxcCyIRZcuYING5OhjKF161lw5Qqgc3UtU0Ds9bqOOgbVlotIM4FbgX2BjwOnAr8DBklaWU/XOGY+MB9gxowZr3/wwQc7Xk8zG93c82+smZ5o2qSJ3LbwLV2oUbY5f/8Tnq6RnXvHrftY9ndva/v1BpYNseCKFcMyNPRtJi541+t66osfujcRpJasMah666AuT3+uHLEO6g5JDa+DkrQtcBXwsYj4HfBVYE9gNkkL63O1jouICyOiPyL6p0yZ0ujlzKzDypCBoKJWcKpXXi3P1u2LFq+qmT5o0eJVjVW4QGXYXLFeF99H059H5T25pD6S4PStiLgaICIeq3r/a8A1ec9vZsUrwzYNrcrbjblufcYeSxnl3VSGPzQyW1DpGBIR8WCtx2gnliTg68DdEfH5qvKpVR97B3Bn/uqbWdHKkIGgIisN7WjpacvQuqiWp7VXhlRHmS0oSc9SJ/l6RGw/yrnnAicDK9O1VABnAidImp2eezXwgWYqbGbdVaatL7K+wEYbec+7NciOW/dljnl1St7WXhk2V8wMUBGxHYCkvwd+C1xC8ofHicB2o504In5O7T9UvObJrOTKskZoWkZ35GgJavNuDXL20fsMmzUIySaAZx+9T4M1bl691l69f6My/KHRyDTzwyLiwKrXX5W0BPinDtXJzOwV8kyJzttKyLs1SDe+9FsZS+r1PzQaCVAbJZ0IfIekZXwCsLH+IWZm7ZO3GytvwMjb8qpcs8gv/bE8aaWRAPUe4EvpI4Db0jIzs6bkXRiatxsL8gWMMozPVJSprs0aNUBFxGrg2M5XxczGslYyUBQ9JboM4zMVZaprsxppQZmZtayVVlA3urF6fXymWpnq2oxGtnw3M2tZK62gVtZe5VkjZL3BAcrMCtHKwtB5c6ax/4wdhpXtP2OHUVsNlW7FoXXrCV7uVnSQKod6ufjeW+9RZCXNrPxaaQWdNbCS23791LCy2379FGcNrKx7XNkyQthw9cag3lCjTCR7Qk0j2YzQzKwhrQzmX7bk4czyc+ftl3lcGfLNWbZ6mSQ+Unme5tU7EfjfwO3AeZ2vmpmNNXkH8/MunB3La4TGg7pjUJI2l/R+4C7grcD/iIjjI6Lh7TbMzFqVlWJotNRDZUpsa69UbwzqQySB6fXA4RFxakS449bMCnfCgdObKq+YN2can3nnfkybNBGRZILoxoZ8lk/mjrqSNgGPA2sZnvxXQETEaztfvUR/f38MDg4WdTkz60FnDazksiUPszGCCRInHDi97viTlUfWjrr1AtTu9U7YyJ5Q7eIAZWY2dmUFqHqTJAoLQGbWHXlz45kVod6GhQ9Qo2svfR4RsWcnK2ZmnTWwbIgFV6xgw6bkf+uhdetZcMUKYPTceGZFqDeLr59kLVTlcQDwOZJAtbzOcWZWAosWr3opOFVs2BQsWryqSzUyG65eF9+TAJI2I9m6fQFJYDoyIu4qpnpm1inr1r9ya/J65e3QSpeiuyPHn3rTzPskfYBkqvmbgWMj4qRGg5Ok6ZJuknS3pFWSPpqWT5Z0vaT70p87tuU3MbOe1kpePOfUG5/qdfE9AJwB/CvwQ+B1kt5ZeTRw7heB0yPiT4GDgA9J2htYCNwQEXsBN6SvzaxgO27d11R5q1rJi+eceuNTvVx8PyWZFPG69FEtgKvrnTgi1gBr0ufPSrqbJIffscDB6ccuBm4mSaFkZgU6++h9WHDlCjZsfHkcqm+COPvofUY9Nk93Wyt58ZxTb3yqNwZ1arsuImkmMAdYAuySBi8iYo2knTOOmQ/MB5gxY0a7qmLWs4oeY8mbvDXv7L9W8uI5p974lLlQt20XkLYFbgHOi4irJa2LiElV7z8dEXXHobxQ18a6kduhQ5IzrhfT8sw+5yc1J1JMmtjH8rPflnlcK79jme6PNS9roW5HNyyU1AdcBXwrIipdgo9Jmpq+P5UknZLZuFamMZa8s/9ayYvnnHrjU70xqJakW3R8Hbg7Ij5f9dZi4BTg/PTn9ztVB7OyaHWMpSx56vJut9HqsVZODQUoSW8CZlZ/PiJG27BwLsn6qZWSKgt7zyQJTJdL+hvgIeBdTdbZbMxpZYzlrIGVXHr7Qy+93hjx0utOBCkJao0MjLLzhVnTRg1Qki4B9iRZpFvpgwhG2VE3In5OknWilkOaqKNZVxQ5aWHBYbNqjrE0sm9R3t1m88oatu7wcLaNQ420oPqBvaPTsynMesjIQfnKwlDoTJ66VrZDz7vbbF7TMlp70xpo7TkbhDWjkUkSdwJ/1OmKmPWSMk1ayLvbbF55d6l1NghrViMBaifgLknXSVpceXS6YmbdVPTC0IFlQyy4csWwL+8FV65o6Ms7726zeeWdUVemoG+9oZEuvkWdroRZryl6Yeg5P1g1LKMDwIaNwTk/WDXqF3//7pP59pKHqE5MvpmS8k7JM6PO2SCsWaMGqIi4pYiKmPWSViYt5PH087XXEGWVV7vgunsZsWsGmyIpb2QBbFFjQs4GYc0atYtP0kGSfinpOUl/kLRR0u+KqJxZt5RpYWjelknRY0J5x65s/Gqki+8rwLuBK0hm9L0X2KuTlTLrBUUuDJ3YtxnrN2yqWT6avC2TemNCvTZT0canhhbqRsT9kiZExEbgm5L+s8P1MmuLskxr3qpvQs0AtdWIFkctCw6bVTMr+Wgtk26MCTkbhDWjkQD1vKQtgOWS/olkC41tOlsts9YVvZapFesyxpqyyl9h5JKnBpZAeUzIel0j08xPTj/3YeD3wHTguE5WyqwdujWteWDZEHPPv5E9Fl7L3PNvbGhMJysoNBIsLrju3pe2vqjYsClG/T3/8k+mNFVuVrRRA1REPEiSsmhqRJwTER+PiPs7XzWz1nSjCyvvxINWJhDk/T1vumdtU+VmRWtkFt/RJHn4fpy+nu2FulYGrbRK8srbamtl1uAOE2tv0Z5VXuF1SdbrGl2oewDJ1uxExPJ0h1yznlb0Wiag5phOvfJqeScQZGU0Gi3TkcegrNc1Mgb1YkQ80/GamLXZvDnTOO71017KSTdB4rjXd3YWWdF58SD/BAuvS7Je10gL6k5J7wEmSNoLOA3wNHPreQPLhrhq6dBLWb03RnDV0iH6d5/cUJDKM0W9lczieafE520JtbIuqSzT963cGglQHwE+BbwAXAZcB/xDJytl1g6tLEStJG+trC2qJG+F+lPU825F0cqU+Fa6MvN0K5Zp+r6VWyOz+J6PiE9FxBsioj99/v+LqJxZK1qZBFAveWs9eadutzIlvpUJFnmmxDsruRUlswU12ky9iDim/dUxa59WJgHkTd56zYo1meX1drdtdUZdkS0hz/6zotRrQb0R2A34GfBZ4HMjHnVJ+oakxyXdWVW2SNKQpOXp44jWqm+WrRuTANatz5iwkFFeUaYp8d2oq41P9QLUHwFnAvsCXwIOBZ6IiFsa3ILjIuDwGuVfiIjZ6eOHzVbYrFGtzOKblLGGKKu8Vd0IpnlbQp79Z0XJDFARsTEifhwRpwAHAfcDN0v6SCMnjohbgafaU02z5mXN4mtknGXRMfvQt9nwqeF9m4lFx+xT97gdt64dwLLKK7qxvUfellCZtiKxcqs7i0/SlsCRwAnATOCfgatbvOaHJb0XGAROj4inM649H5gPMGPGjBYvaeNRK7P48k7BPvK1U7n09odqlo+m6EzfRc/+M2tWvUkSF5N07/0IOCci7sz6bBO+SjJFPdKfnwP+utYHI+JC4EKA/v7+BnIz21iWZ91NNyYelCm/nfdnsl5XrwV1Mkn28j8GTtPLK+EFRERs3+zFIuKxl04ifQ24ptlz2PiTd7ZZN1L5lG2Gm1tC1svqjUFtFhHbpY/tqx7b5QlOAJKq+zneAbSjVWZjXN7ZZt3YTsIz3Mzap6EddfOQdBlwMLCTpEeAs4GDJc0m6eJbDXygU9e3saNb20nk6VbsRoJas7GqYwEqIk6oUfz1Tl3Pxq4dJvbVXEfUye0k8qY68riOWft0LECZtUs3tpOol+qokRmADkhmrWtkuw2ztsmT+60b20nkTXVkZu3jFpQVpujZeO5uMys3BygrTN6Fs91YUDopY9yrU6mOzOyV3MVnhck7aaEbqXXypjoys/ZxC8oK08qkhaInHrh70Kz7HKCsMN1YI9TK1uSejWfWXQ5QVpiiWyXemtys3BygrFBFtkpayWZuZt3nAGWFaqXLrVllS9xqZsN5Fp8VptLlNrRuPcHLXW6NLNbNw4lbzcrNAcpyyZMRIm9W8ry8NblZubmLz5qWd/JBrSnm9cpb5aniZuXmAGVN68bkg7xjV54qblZeDlDWtKInH3i6uNn45DEoa1reyQcTMvbHyCqvKHrsysx6gwOUNS3vVuonHDi9qfIKTxc3G58coKxpebdSP3fefszdc/Kwsrl7TubcefvVPW7S1rUziGeVm9nY0LEAJekbkh6XdGdV2WRJ10u6L/25Y6eub52Tt0UzsGyIXz30zLCyXz30zKhT1COaKzezsaGTLaiLgMNHlC0EboiIvYAb0tdWMnnHoPKOJT1TY1+meuVmNjZ0LEBFxK3AUyOKjwUuTp9fDMzr1PWtc/KOQeVteTkjhNn4VPQY1C4RsQYg/blz1gclzZc0KGlw7dr6YxtWrGvvWNNUeUXeQOOMEGbjU89OkoiICyOiPyL6p0yp/5e5Fevp52t3rWWVV+QNNN3YUdfMuq/ohbqPSZoaEWskTQUeL/j61kVOPWRmzSg6QC0GTgHOT39+v+DrWxtItWfQjbLeFsiXesiZJMzGp05OM78M+AUwS9Ijkv6GJDAdKuk+4ND0tZVM0dO+nUnCbHzqWAsqIk7IeOuQTl3TmpM3Aeu0SRNrZiCf1qFZdc4kYTY+9ewkCeusgWVDLLhyxbDNAxdcuaKhfZ2KnlXnaeZm45MD1Dh1zg9WsWHj8D65DRuDc36watRji55V52nmZuOTt9sYp/JOFa8ocp8lz/4zG58coKwUvPGg2fjjLr5xatLEjAzhGeVmZkVzC6qHnDWwksuWPMzGCCZInHDg9FG3ooB8s/EWHbMPC65YwYZNL49D9W0mFh2zT8u/h5lZO7gF1SPOGljJpbc/xMZ0MdHGCC69/SHOGlhZ97iBZUN8/PLlw2bjffzy5aPOxps3ZxrHHzD9pd1sJ0gcf8B0d6OZWc9wgOoRly15uKnyijOvvoNNIxbIboqkvJ6BZUNctXRoWEC8aulQQ9PMzcyK4ADVIzZmpGHIKq94fsOmpsornJ3BzHqdA1SPmJCRyC6rvFXOzmBmvc4BqkeccOD0pspb5ewMZtbrHKA6YGDZEHPPv5E9Fl7L3PNv7Mlxnby74pqZFcUBqs0qW0NUz6o74+qVowapvJMk8rrpntq7FGeVm5kVzQGqzfJOPsg7SSIrg/homcVrZSOvV25mVjQHqDYrevJB3kSqRU/KMDNrlgNUmxU9+SBvZvG8LTYzs6I41VGbLThs1rDtyaGxFk0rmwDmSaRa9KaDZmbNcguqzebNmcb+M3D0JiIAAAilSURBVHYYVrb/jB1GDSBF73nkPZbMrNd1JUBJWi1ppaTlkga7UYdOOWtgJbf9+qlhZbf9+qlRc+oVvQlg0dczM2uWogtjDpJWA/0R8UQjn+/v74/BwXLEsT0WXkutOyrggfOPLLo6ZmY9T9LSiOgfWe4uvjbLCveeemBm1pxuTZII4CeSAvi3iLhw5AckzQfmA8yYMaPg6uXbY8nMzNqnWwFqbkQ8Kmln4HpJ90TErdUfSIPWhZB08RVZuUo2iMpMvEo2CMBBysysIF3p4ouIR9OfjwPfAw7oRj2ytLIVxUkH1W7tZZWbmVlthQcoSdtI2q7yHHgbcGfR9ainlTRA587bj5MOmjFsp9qTDprR0NbtZmb2sm508e0CfE/JF/jmwLcj4sddqEemzcQrdqmtlDfi3Hn7OSCZmbWo8AAVEb8BXlf0dZtRKzjVKzczs/bzNHMzM+tJDlBmZtaTHKBqyBpranQMyszMWjfms5nnWXDrMSgzs+4b0y2ogWVDLLhixbDt1xdcsWLU7dfz7lJrZmbtM6YD1KLFq9gwotmzYVOwaPGqusd5Kwozs+4b011869ZvaKq8otIF6Fx8ZmbdM6YDVCvy7FJrZmbtM6a7+MzMrLwcoMzMrCeN6QCVtWzJy5nMzHrfmA5QJ2ZscZFVbmZmvWNMT5KoZBS/bMnDbIxggsQJB053pnEzsxJQRO+nR+jv74/BwcFuV8PMzDpA0tKI6B9ZPqa7+MzMrLwcoMzMrCc5QJmZWU9ygDIzs57kAGVmZj2pFLP4JK0FHqzx1k7AEwVXpyx8b7L53tTm+5LN96a2dt2X3SNiysjCUgSoLJIGa01NNN+benxvavN9yeZ7U1un74u7+MzMrCc5QJmZWU8qe4C6sNsV6GG+N9l8b2rzfcnme1NbR+9LqcegzMxs7Cp7C8rMzMYoBygzM+tJpQ1Qkg6XdK+k+yUt7HZ9ukXSdEk3Sbpb0ipJH03LJ0u6XtJ96c8du13XbpE0QdIySdekr31vAEmTJF0p6Z70v583+t6ApP+V/r90p6TLJG01Xu+LpG9IelzSnVVlmfdC0hnpd/K9kg5r9fqlDFCSJgD/F3g7sDdwgqS9u1urrnkROD0i/hQ4CPhQei8WAjdExF7ADenr8eqjwN1Vr31vEl8CfhwRfwK8juQejet7I2kacBrQHxH7AhOAdzN+78tFwOEjymrei/R7593APukx/5J+V+dWygAFHADcHxG/iYg/AN8Bju1ynboiItZExK/S58+SfMlMI7kfF6cfuxiY150adpek3YAjgX+vKh7390bS9sCfA18HiIg/RMQ6fG8g2ch1oqTNga2BRxmn9yUibgWeGlGcdS+OBb4TES9ExAPA/STf1bmVNUBNAx6uev1IWjauSZoJzAGWALtExBpIghiwc/dq1lVfBD4JbKoq872BVwNrgW+m3Z//Lmkbxvm9iYgh4LPAQ8Aa4JmI+Anj/L6MkHUv2v69XNYApRpl43q+vKRtgauAj0XE77pdn14g6Sjg8YhY2u269KDNgf2Br0bEHOD3jJ9uq0zpeMqxwB7ArsA2kk7qbq1Ko+3fy2UNUI8A06te70bSDB+XJPWRBKdvRcTVafFjkqam708FHu9W/bpoLnCMpNUk3cBvkXQpvjeQ/D/0SEQsSV9fSRKwxvu9eSvwQESsjYgNwNXAm/B9qZZ1L9r+vVzWAPVLYC9Je0jagmRgbnGX69QVkkQyjnB3RHy+6q3FwCnp81OA7xddt26LiDMiYreImEny38iNEXESvjdExG+BhyXNSosOAe7C9+Yh4CBJW6f/bx1CMq473u9Ltax7sRh4t6QtJe0B7AX8VysXKm0mCUlHkIwvTAC+ERHndblKXSHpz4CfASt5eZzlTJJxqMuBGST/070rIkYOdo4bkg4GPhERR0l6Fb43SJpNMnlkC+A3wPtI/mgd1/dG0jnA8SQzZJcB7we2ZRzeF0mXAQeTbKvxGHA2MEDGvZD0KeCvSe7dxyLiRy1dv6wByszMxraydvGZmdkY5wBlZmY9yQHKzMx6kgOUmZn1JAcoMzPrSQ5QZk2S9Kk02/UdkpZLOjAt/5ikrTOOOVXSV5q4xpaSfpqe//h21d2sTDbvdgXMykTSG4GjgP0j4gVJO5GsIwL4GHAp8HwbLjUH6IuI2W04l1kpuQVl1pypwBMR8QJARDwREY9KOo0kd9tNkm4CkPQ+Sf9P0i0kaZdeId1bZyBtjd0u6bWSdiYJdLPTFtSeI445TdJd6THfScu2Sffu+WWa/PXYtPxUSd+X9ON0j56zO3VjzNrNC3XNmpAm5f05yTYMPwW+GxG3pO+tJtlH6Ik0R9kS4PXAM8BNwLKI+PCI832ZJOCdI+ktwOcjYnZ15osadXgU2CNtwU2KiHWS/hG4KyIulTSJJMXMHOBdwGeAfUladr8ETo2IwTbfGrO2cwvKrAkR8RxJ0JlPsl3FdyWdWuOjBwI3p0lH/wB8N+OUfwZckp77RuBVknYYpRp3AN9Ks2y/mJa9DVgoaTlwM7AVSSoagOsj4smIWE+S/PTPRv1FzXqAx6DMmhQRG0mCwM2SVpIkzLyo1kcbOF2eLQqOJNls8Bjg05L2Sc9zXETcO+zkyQSOkedzt4mVgltQZk2QNEvSXlVFs4EH0+fPAtulz5cAB0t6VbodyrsyTnkrcGJ67oNJuvsy9/OStBkwPSJuItmIcRJJItPrgI+kGbiRNKfqsEPTsa6JJLuf3tbo72vWTW5BmTVnW+DL6TjPiyTbWs9P37sQ+JGkNRHxl5IWAb8g2Zn1VySZ90daRLKr7R0kY0Sn1PhMtQnApWk3oIAvpGNQ/0CS3f+ONEitJpltCMmY2SXAa4Bve/zJysKTJMzGsHR8rH/k5AyzMnAXn5mZ9SS3oMzMrCe5BWVmZj3JAcrMzHqSA5SZmfUkBygzM+tJDlBmZtaT/huGiN6Q63PmmAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mean_sep_data = []\n",
"for sep in np.linspace(3, 100, 25):\n",
" for rep in range(5):\n",
" locs = skl.datasets.make_blobs(50, 2, centers, sep)[0]\n",
" locs = enforce_min_dist(locs, putative_radii)\n",
" mean_nn_sep = np.mean(nearest_neighbor_distances(locs))\n",
" mean_sep_data.append((sep, mean_nn_sep))\n",
"mean_sep_data = np.array(mean_sep_data)\n",
"\n",
"fig, ax = plt.subplots(1,1)\n",
"ax.plot(mean_sep_data[:,0], mean_sep_data[:,1],'o')\n",
"ax.set(title='NN dist by std of separation', \n",
" xlabel='Std of sep', \n",
" ylabel='Mean NN dist',\n",
" )\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like a straight forward relationship. Last but not least, let's try out the [Hopkins statistic](https://en.wikipedia.org/wiki/Hopkins_statistic).\n",
"\n",
"## Hopkins statistic\n",
"\n",
"The Hopkins statistic attempts to be a measurment of the cluster tendency of a dataset without assigning cluster identity. Really it is testing how uniformly distributed a dataset is. It ranges from 0 for uniformly distributed data, to 0.5 for random, to 1.0 for highly clustered. Unfortunetly, there isn't a ready implementation of such. The Hopkins statistic, as described in [Banerjee 2004](https://doi.org/10.1109/FUZZY.2004.1375706), for a set values $X$ with $n$ samples in a $d$ dimensional space is given as $H$. To compute $H$ we need to take $Y$, $m$ random points in our $d$ dimensional space (not from $X$) where $m<<n$. We'll compute distance metrics using $X$ and $Y$. The minimum distance from $y_j$ to any point in $X$ is given as $u_j$ and the distance from a random point in $X$ to the nearest neighbor in $X$ is given as $w_j$. With these we'll find:\n",
"\n",
"$$ H = \\frac{\\sum ^m _{j=1} u^d_j}{\\sum ^m _{j=1} u^d_j + \\sum ^m _{j=1} w^d_j} $$"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"def hopkins(locs, m):\n",
" n, dims = locs.shape\n",
" assert m<n, \"Sample fewer points than exist in locs\"\n",
" X = skl.preprocessing.MinMaxScaler().fit_transform(locs)\n",
" Y = np.random.random((m, dims))\n",
" rand_dist_sum = sp.spatial.distance.cdist(Y, X).min(1).sum()\n",
" X_samp = X[np.random.choice(range(n), size=m, replace=False), :]\n",
" X_dists = sp.spatial.distance.cdist(X_samp, X)\n",
" X_dists[X_dists==0.0] = X_dists.max() # eliminate self as nearest neighbor\n",
" X_dist_sum = X_dists.min(1).sum()\n",
" return rand_dist_sum / (rand_dist_sum + X_dist_sum)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The only complicating factor is that we really want $m<<n$ and our $n$s aren't ever going to be that big. (Here they are in the 30-50 range.) Let's try bootstrapping out way to a trustworthy Hopkins and check the results for our four original cases. "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x216 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"hopkins_orig_data = []\n",
"for sep, locs in zip(seps, llocs):\n",
" for rep in range(100):\n",
" hopkins_orig_data.append((sep, hopkins(locs, 5)))\n",
"hopkins_orig_data = np.array(hopkins_orig_data)\n",
"\n",
"fig, ax = plt.subplots(1,1, figsize=panel_size)\n",
"sns.violinplot(hopkins_orig_data[:,0], hopkins_orig_data[:,1], ax=ax)\n",
"ax.set(title = 'Hopkins by std of cluster scatter', \n",
" xlabel = 'Cluster scatter std', \n",
" ylabel = 'Hopkins',\n",
" ylim = (0,1), \n",
" )\n",
"ax.set_xticklabels([\"%0.1f\"%float(label.get_text()) for label in ax.get_xticklabels()])\n",
"\n",
"\n",
"plt.tight_layout()\n",
"plt.savefig(\"cluster_04.png\", dpi=220)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Oh ho ho, the problem here is that as we get to a really large std for our clusters in the synthetic data it starts to look *normally* distributed, i.e. like one big cluster, rather than *uniformly* distributed. So, while this doesn't work well on our synthetic data, I think it may yet be useful on our real datasets. \n",
"\n",
"We, of course, have only the limited dataset at the moment, but let's apply it there. \n",
"\n",
"# Application to extant data"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x432 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fns = ('./20170711_I01_001_position1merge_8bit_RGBpt33_10fps/frame01.',\n",
" './20170711_I01_001_position1merge_8bit_RGBpt33_10fps/frame71.')\n",
"imgs = [imageio.imread(fn+'png') for fn in fns]\n",
"llocs = [np.loadtxt(fn+'csv') for fn in fns]\n",
"\n",
"fig, axs = plt.subplots(2, 2, True, True, figsize=(6, 6))\n",
"for ax, im in zip(axs[0], imgs):\n",
" ax.imshow(im)\n",
"for ax, locs in zip(axs[1], llocs):\n",
" ax.plot(locs[:,0], locs[:, 1], 'o')\n",
" ax.set(aspect=1)\n",
"axs[0,0].set(title=\"Timepoint 0\")\n",
"axs[0,0].axis('off')\n",
"axs[0,1].set(title=\"Timepoint 71\")\n",
"axs[0,1].axis('off')\n",
"plt.tight_layout()\n",
"plt.savefig(\"cluster_05.png\", dpi=220)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"limits = (0, 800)\n",
" \n",
"panel_size = (7,4)\n",
"fig, axs = plt.subplots(1, len(llocs), True, True, figsize=panel_size)\n",
"fig = plot_cluster_set(llocs, cluster_stats, 20, fig)\n",
"axs[0].set(xlabel='x', ylabel='y', ylim=(limits[1], limits[0]))\n",
"axs[1].set(xlabel='x')\n",
"plt.tight_layout()\n",
"plt.savefig(\"cluster_06.png\", dpi=220)\n",
"\n",
"ddists = [nearest_neighbor_distances(locs) for locs in llocs]\n",
"max_dist = np.max([dists.max() for dists in ddists])\n",
"fig, axs = plt.subplots(1, len(llocs), True, True, figsize=panel_size)\n",
"for ax, dists in zip(axs, ddists):\n",
" sns.distplot(dists, ax=ax)\n",
" ax.set(xlabel='NN dists', \n",
" title=\"NN dist \\n mean/median %0.1f/%0.1f\"%(np.mean(dists), np.median(dists))\n",
" )\n",
"axs[0].set(ylabel='Count')\n",
"plt.tight_layout()\n",
"plt.savefig(\"cluster_07.png\", dpi=220)\n",
"\n",
"\n",
"hopkins_orig_data = []\n",
"for i, locs in enumerate(llocs):\n",
" for rep in range(100):\n",
" hopkins_orig_data.append((i, hopkins(locs, 5)))\n",
"hopkins_orig_data = np.array(hopkins_orig_data)\n",
"\n",
"fig, ax = plt.subplots(1, 1, True, True, figsize=panel_size)\n",
"sns.violinplot(hopkins_orig_data[:,0], hopkins_orig_data[:,1], ax=ax)\n",
"ax.set(title='Hopkins by first/last frame', \n",
" xlabel='First/last frame', \n",
" ylabel='Hopkins',\n",
" )\n",
"plt.tight_layout()\n",
"plt.savefig(\"cluster_08.png\", dpi=220)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All of those metrics change with the increase in clustering/cluster size that we see over the course of the movie. I'd need to have more data to see which ones are robust across trials."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment