{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Minimax Linkage \n", "\n", "There is no minimax linkage implemented in ```scipy.cluster.hierarchy``` as of Feb 2021. There is a standalone package [pyprotoclust](https://github.com/andgoldschmidt/pyprotoclust), possibly the only python package available for minimax linkage, but a simple pip install doesn't always work. \n", "\n", "Below is a brute force implementation. \n", "\n", "There is a nearest neighbor chain algorithm which is used in scipy for complete linkage. Minimax linkage can be implemented in the same way. \n", "\n", "The update rule of minimax linkage is\n", "\n", "\\begin{align*}\n", "d(G_1 \\cup G_2, H) = \\min_{i\\in G_1\\cup G_2 \\cup H} \\max_{j\\in G_1\\cup G_2 \\cup H} d_{ij}.\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Brute Force" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ], "text/plain": [ " x y dist num_pts prototype\n", "0 0 1 1.000000 2 0\n", "1 2 12 1.000000 3 0\n", "2 3 4 1.000000 2 3\n", "3 5 14 1.000000 3 3\n", "4 6 7 1.000000 2 6\n", "5 8 16 1.000000 3 6\n", "6 9 10 1.000000 2 9\n", "7 11 18 1.000000 3 9\n", "8 13 15 3.162278 6 1\n", "9 17 19 3.162278 6 8\n", "10 20 21 5.000000 12 1" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%%time\n", "\n", "import math\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from itertools import combinations\n", "from pandas import DataFrame\n", "from scipy.cluster import hierarchy\n", "from scipy.spatial.distance import pdist\n", "\n", "def minimax_linkage(dist):\n", " n = int((np.sqrt(8*len(dist) + 1) + 1)/2)\n", " \n", " def d(i, j): return dist[n*i+j-((i+2)*(i+1))//2] if i" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "
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" ], "text/plain": [ " x y dist num_pts prototype\n", "0 0 1 1.000000 2 0\n", "1 2 12 1.000000 3 0\n", "2 3 4 1.000000 2 3\n", "3 6 7 1.000000 2 6\n", "4 5 14 1.000000 3 3\n", "5 8 15 1.000000 3 6\n", "6 9 10 1.000000 2 9\n", "7 11 18 1.000000 3 9\n", "8 13 16 3.162278 6 1\n", "9 17 19 3.162278 6 8\n", "10 20 21 5.000000 12 1" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import math\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from pandas import DataFrame\n", "from scipy.cluster import hierarchy\n", "from scipy.spatial.distance import pdist\n", "\n", "\n", "class LinkageUnionFind:\n", " \"\"\"Structure for fast cluster labeling in unsorted dendrogram.\"\"\"\n", "# cdef int[:] parent\n", "# cdef int[:] size\n", "# cdef int next_label\n", "\n", " def __init__(self, n):\n", " self.parent = np.arange(2 * n - 1)\n", " self.next_label = n\n", " self.size = np.ones(2 * n - 1)\n", "\n", " def merge(self, x, y):\n", " self.parent[x] = self.next_label\n", " self.parent[y] = self.next_label\n", " size = self.size[x] + self.size[y]\n", " self.size[self.next_label] = size\n", " self.next_label += 1\n", " return size\n", "\n", " def find(self, x):\n", " p = x\n", "\n", " while self.parent[x] != x:\n", " x = self.parent[x]\n", "\n", " while self.parent[p] != x:\n", " p, self.parent[p] = self.parent[p], x\n", "\n", " return x\n", "\n", "\n", "def label(Z, n):\n", " \"\"\"Correctly label clusters in unsorted dendrogram.\"\"\"\n", " uf = LinkageUnionFind(n)\n", " for i in range(n - 1):\n", " x, y = int(Z[i, 0]), int(Z[i, 1])\n", " x_root, y_root = uf.find(x), uf.find(y)\n", " if x_root < y_root:\n", " Z[i, 0], Z[i, 1] = x_root, y_root\n", " else:\n", " Z[i, 0], Z[i, 1] = y_root, x_root\n", " Z[i, 3] = uf.merge(x_root, y_root)\n", " \n", "\n", "\n", "def condensed_index(n, i, j):\n", " \"\"\"\n", " Calculate the condensed index of element (i, j) in an n x n condensed\n", " matrix.\n", " \"\"\"\n", " if i < j:\n", " return int(round(n * i - (i * (i + 1) / 2) + (j - i - 1)))\n", " elif i > j:\n", " return int(round(n * j - (j * (j + 1) / 2) + (i - j - 1)))\n", "\n", " \n", "# def nn_chain(dists, n, method):\n", "def minimax(dists):\n", " \"\"\"Perform hierarchy clustering using nearest-neighbor chain algorithm.\n", " Parameters\n", " ----------\n", " dists : ndarray\n", " A condensed matrix stores the pairwise distances of the observations.\n", " Returns\n", " -------\n", " Z : ndarray, shape (n - 1, 4)\n", " Computed linkage matrix.\n", " \"\"\"\n", " n = int((np.sqrt(8*len(dists) + 1) + 1)/2)\n", " \n", " Z_arr = np.empty((n - 1, 5))\n", " Z = Z_arr\n", "\n", " D = dists.copy() # Distances between clusters.\n", " size = np.ones(n, dtype=np.intc) # Sizes of clusters.\n", " \n", " indices = [set([i]) for i in range(n)]\n", "\n", "# new_dist = linkage_methods[method]\n", "\n", " # Variables to store neighbors chain.\n", " cluster_chain = np.ndarray(n, dtype=np.intc)\n", " chain_length = 0\n", "\n", "# cdef int i, j, k, x, y, nx, ny, ni\n", "# cdef double dist, current_min\n", "\n", " for k in range(n - 1):\n", " if chain_length == 0:\n", " chain_length = 1\n", " for i in range(n):\n", " if size[i] > 0:\n", " cluster_chain[0] = i\n", " break\n", "\n", " # Go through chain of neighbors until two mutual neighbors are found.\n", " while True:\n", " x = cluster_chain[chain_length - 1]\n", "\n", " # We want to prefer the previous element in the chain as the\n", " # minimum, to avoid potentially going in cycles.\n", " if chain_length > 1:\n", " y = cluster_chain[chain_length - 2]\n", " current_min = D[condensed_index(n, x, y)]\n", " else:\n", " current_min = np.inf # NPY_INFINITYF\n", "\n", " for i in range(n):\n", " if size[i] == 0 or x == i:\n", " continue\n", " \n", " dist = D[condensed_index(n, x, i)]\n", " if dist < current_min:\n", " current_min = dist\n", " y = i\n", "\n", " if chain_length > 1 and y == cluster_chain[chain_length - 2]:\n", " break\n", "\n", " cluster_chain[chain_length] = y\n", " chain_length += 1\n", "\n", " # Merge clusters x and y and pop them from stack.\n", " chain_length -= 2\n", "\n", " # This is a convention used in fastcluster.\n", " if x > y:\n", " x, y = y, x\n", "\n", " # get the original numbers of points in clusters x and y\n", " nx = size[x]\n", " ny = size[y]\n", "\n", " # merge x and y. Cluster x will be dropped, and y will be replaced with the new cluster\n", " indices[y] |= indices[x]\n", " indices[x] = set()\n", " \n", " prototype, minmax = min(((j, max(dists[condensed_index(n, j, k)] if j!=k else 0 for k in indices[y])) for j in indices[y]), key=lambda pt_max: pt_max[1])\n", " \n", " # Record the new node.\n", " Z[k, 0] = x\n", " Z[k, 1] = y\n", " Z[k, 2] = current_min\n", " Z[k, 3] = nx + ny\n", " Z[k, 4] = prototype\n", " size[x] = 0 # Cluster x will be dropped.\n", " size[y] = nx + ny # Cluster y will be replaced with the new cluster\n", "\n", " # Update the distance matrix.\n", " for i in range(n):\n", " ni = size[i]\n", " if ni == 0 or i == y:\n", " continue\n", " \n", " # D[condensed_index(n, i, y)] = max(D[condensed_index(n, i, x)], D[condensed_index(n, i, y)]) # complete linkage\n", " \n", " all_indices = indices[y] | indices[i]\n", " D[condensed_index(n, i, y)] = min(max(dists[condensed_index(n, j, k)] if j!=k else 0 for k in all_indices) for j in all_indices) # minimax linkage, 實測先抄到 np.array 再取 minmax 反而更慢\n", " \n", " # 要 implement minimax 需要知道 x y 裡各有哪些原本資料點的 index,\n", " # 原本的 distance matrix 要從 dists 裡拿,因為 D 裡的值會一直被覆蓋過去\n", "\n", " # Sort Z by cluster distances.\n", " order = np.argsort(Z_arr[:, 2], kind='mergesort')\n", " Z_arr = Z_arr[order]\n", "\n", " # Find correct cluster labels inplace.\n", " label(Z_arr, n)\n", "\n", " return Z_arr\n", "\n", "\n", "X = [[0, 0], [0, 1], [1, 0], [0, 4], [0, 3], [1, 4], [4, 0], [3, 0], [4, 1], [4, 4], [3, 4], [4, 3]]\n", "Z = minimax(pdist(X))\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(5, 8))\n", "hierarchy.dendrogram(Z[:, :4], ax=ax, orientation='left')\n", "ax.set(title='Dendrogram with Complete Linkage')\n", "plt.show()\n", "\n", "DataFrame(Z, columns=['x', 'y', 'dist', 'num_pts', 'prototype']).astype({'x': int, 'y': int, 'num_pts': int, 'prototype': int})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Performance\n", "\n", "用舊的 code 跑出來的(不計算 prototype)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "874 ms ± 92.6 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "\n", "# using np.max and np.min\n", "\n", "import numpy as np\n", "\n", "n = 100\n", "np.random.seed(0)\n", "X = np.random.rand(n, 2)\n", "Z = minimax(pdist(X))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "504 ms ± 23.6 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "\n", "# using python built-in\n", "\n", "import numpy as np\n", "\n", "n = 100\n", "\n", "np.random.seed(0)\n", "X = np.random.rand(n, 2)\n", "Z = minimax(pdist(X))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2min 32s, sys: 127 ms, total: 2min 32s\n", "Wall time: 2min 33s\n" ] }, { "data": { "image/png": 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" ], "text/plain": [ " 0 1 2 3 4 5 6 7 8 9 10 11\n", "0 \n", "1 0 \n", "2 1 11 \n", "3 2 12 21 \n", "4 3 13 22 30 \n", "5 4 14 23 31 38 \n", "6 5 15 24 32 39 45 \n", "7 6 16 25 33 40 46 51 \n", "8 7 17 26 34 41 47 52 56 \n", "9 8 18 27 35 42 48 53 57 60 \n", "10 9 19 28 36 43 49 54 58 61 63 \n", "11 10 20 29 37 44 50 55 59 62 64 65 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pandas import DataFrame\n", "\n", "n = len(X)\n", "\n", "DataFrame([[condensed_index(12, i, j) if i>j else '' for j in range(12)] for i in range(12)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Demonstration \n", "\n", "顏色會亂跳" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "ef73f2a0cdcc4082a05eb96305872429", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=1.8, description='cut', max=5.0, step=0.2), Output()), _dom_classes=('…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.spatial.distance import pdist\n", "from scipy.cluster.hierarchy import complete, single, dendrogram, fcluster, median\n", "from pandas import DataFrame\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "from ipywidgets import interact\n", "\n", "data = [[0, 0], [0, 1], [1, 0], [0, 4], [0, 3], [1, 4], [4, 0], [3, 0], [4, 1], [4, 4], [3, 4], [4, 3]]\n", "dist = pdist(data)\n", "\n", "Z = complete(dist)\n", "df = DataFrame(data, columns=['x', 'y'])\n", "\n", "@interact(cut=(0, 5, 0.2))\n", "def f(cut=1.8):\n", " df['hue'] = [cm.tab20(idx) for idx in fcluster(Z, t=cut, criterion='distance')]\n", " fx, (ax1, ax2) = plt.subplots(1, 2, figsize=(20, 5))\n", "\n", " dendrogram(Z, ax=ax1, link_color_func=lambda _: 'black')\n", " ax1.axhline(y=cut, c='r')\n", "\n", " sns.scatterplot(x='x', y='y', data=df, ax=ax2, hue='hue', legend=None, s=200)\n", " ax2.set(aspect=1, xlim=(-1, 5), ylim=(-1, 5))\n", " for i, (x, y) in enumerate(data):\n", " ax2.text(x+0.2, y+0.2, i)\n", "\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: pyminimax in /srv/conda/envs/notebook/lib/python3.7/site-packages (0.1.2)\n", "Requirement already satisfied: numpy>=1.6.5 in /srv/conda/envs/notebook/lib/python3.7/site-packages (from pyminimax) (1.21.1)\n", "Requirement already satisfied: scipy>=1.6.0 in /srv/conda/envs/notebook/lib/python3.7/site-packages (from pyminimax) (1.7.1)\n", "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "pip install pyminimax" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "from pandas import DataFrame\n", "from pyminimax import minimax, fcluster_prototype\n", "from scipy.spatial.distance import pdist\n", "from scipy.cluster.hierarchy import dendrogram\n", "from ipywidgets import interact\n", "from matplotlib import cm\n", "\n", "np.random.seed(0)\n", "X = np.random.rand(20, 2)\n", "\n", "Z = minimax(pdist(X), return_prototype=True)\n", "\n", "plt.figure(figsize=(10, 4))\n", "dendrogram(Z[:, :4])\n", "plt.show()\n", "\n", "max_dist = max(Z[:, 2])\n", "\n", "@interact(cut=(0, max_dist+0.1, 0.05))\n", "def f(cut=0.35):\n", " clust_proto = fcluster_prototype(Z, t=cut, criterion='distance')\n", " protos = np.unique(clust_proto, axis=0).T[1]\n", "\n", " fig = plt.figure(figsize=(6, 6))\n", " df = DataFrame(np.concatenate([X, clust_proto], axis=1), columns=['x', 'y', 'clust', 'proto'])\n", " df['hue'] = df['clust'].map(int).map(cm.tab20)\n", "# ax = sns.scatterplot(data=df, x='x', y='y', hue='hue', legend=None)\n", " ax = sns.scatterplot(data=df, x='x', y='y', hue='clust', legend=None)\n", " ax.set(xlim=(-0.5, 1.5), ylim=(-0.5, 1.5), aspect=1)\n", " \n", " for proto in protos:\n", " circle = plt.Circle(X[proto], cut, edgecolor='g', facecolor='none', clip_on=False)\n", " ax.add_patch(circle)\n", " plt.show()\n", "\n", "f(cut=0.3)\n", "f(cut=0.35)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "from pandas import DataFrame\n", "from pyminimax import minimax, fcluster_prototype\n", "from scipy.spatial.distance import pdist\n", "\n", "np.random.seed(0)\n", "X = np.random.rand(20, 2)\n", "Z = minimax(pdist(X), return_prototype=True)\n", "\n", "cuts = [0.1, 0.25, 0.3, 0.35, 0.6, 0.7]\n", "\n", "fig, axs = plt.subplots(3, 2, figsize=(10, 15))\n", "\n", "for ax, cut in zip(axs.ravel(), cuts):\n", " clust_proto = fcluster_prototype(Z, t=cut, criterion='distance') \n", " \n", " df = DataFrame(np.concatenate([X, clust_proto], axis=1), columns=['x', 'y', 'clust', 'proto']) \n", " sns.scatterplot(data=df, x='x', y='y', hue='clust', legend=None, ax=ax)\n", " \n", " ax.set(xlim=(-0.5, 1.5), ylim=(-0.5, 1.5), aspect=1, title=f'Threshold {cut}')\n", " protos = np.unique(df['proto'].map(int).values)\n", " for proto in protos:\n", " circle = plt.Circle(X[proto], cut, edgecolor='g', facecolor='none', clip_on=False)\n", " ax.add_patch(circle)\n", " \n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "\n", "digits = datasets.load_digits()\n", "\n", "_, axes = plt.subplots(nrows=1, ncols=4, figsize=(10, 3))\n", "for ax, image, label in zip(axes, digits.images, digits.target): # 原來 zip 裡各 list 長度可以不一致!for loop 應該是取最短的\n", " ax.set_axis_off()\n", " ax.imshow(image, cmap=plt.cm.gray_r, interpolation='nearest')\n", " ax.set_title('Training: %i' % label)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pyminimax import minimax, fcluster_prototype\n", "from scipy.spatial.distance import pdist\n", "from scipy.cluster.hierarchy import dendrogram\n", "from sklearn import datasets\n", "import matplotlib.pyplot as plt\n", "\n", "df = datasets.load_digits(as_frame=True)['frame']\n", "\n", "df147 = df[(df['target']==1) | (df['target']==4) | (df['target']==7)]\n", "X = df147.drop('target', axis=1).values" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 35.3 s, sys: 899 ms, total: 36.2 s\n", "Wall time: 36.5 s\n" ] } ], "source": [ "%%time\n", "\n", "Z = minimax(pdist(X), return_prototype=True)\n", "\n", "plt.figure(figsize=(10, 4))\n", "dendrogram(Z[:, :4])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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xydistancen_ptsprototype
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" ], "text/plain": [ " x y distance n_pts prototype\n", "0 1072.0 1078.0 50.338852 182.0 135.0\n", "1 1077.0 1080.0 54.488531 360.0 137.0\n", "2 1079.0 1081.0 57.122675 542.0 22.0" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pandas import DataFrame\n", "\n", "DataFrame(Z[-3:, :], columns=['x', 'y', 'distance', 'n_pts', 'prototype'])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "clust, proto = fcluster_prototype(Z, t=52, criterion='distance').T" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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targetclustproto
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............
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542 rows × 3 columns

\n", "
" ], "text/plain": [ " target clust proto\n", "1 1 3 135\n", "517 1 3 135\n", "527 1 3 135\n", "537 1 3 135\n", "1264 1 3 135\n", "... ... ... ...\n", "1381 7 1 341\n", "429 7 1 341\n", "1046 7 1 341\n", "472 7 1 341\n", "467 7 1 341\n", "\n", "[542 rows x 3 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res = df147.assign(clust=clust, proto=proto)\n", "df = res[['target', 'clust', 'proto']].sort_values(by='target')\n", "df" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "\n", "sns.heatmap(df[['target', 'clust']])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([135, 341, 464], dtype=int32)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "protos = np.unique(df['proto'])\n", "protos" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(nrows=1, ncols=3, figsize=(10, 3))\n", "\n", "for ax, proto in zip(axs, protos):\n", " ax.set_axis_off()\n", " image = df147.drop('target', axis=1).iloc[proto].values.reshape(8, 8)\n", " ax.imshow(image, cmap=plt.cm.gray_r, interpolation='nearest')" ] } ], "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": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 4 }