{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "ddeeaed1",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# netowrks\n",
"import networkx as nx\n",
"import igraph as ig\n",
"\n",
"# data processing\n",
"import pandas as pd\n",
"import numpy as np\n",
"import scipy.sparse as ss\n",
"\n",
"#some functions to make our lifes easier\n",
"import sys\n",
"sys.path.append(\"./\")\n",
"from common_functions import *\n",
"\n",
"# viz\n",
"import pylab as plt\n",
"import seaborn as sns\n",
"import matplotlib as mpl\n",
"%matplotlib inline\n",
"\n",
"#Change the default options of visualization (improving the defaults)\n",
"custom_params = {\"axes.spines.right\": False, \"axes.spines.top\": False, \"axes.spines.left\": False, \"axes.spines.bottom\":\n",
"False,\"lines.linewidth\": 2, \"grid.color\": \"lightgray\", \"legend.frameon\": False, \"xtick.labelcolor\": \"#484848\", \"ytick.labelcolor\":\n",
"\"#484848\", \"xtick.color\": \"#484848\", \"ytick.color\": \"#484848\",\"text.color\": \"#484848\", \"axes.labelcolor\": \"#484848\",\n",
"\"axes.titlecolor\":\"#484848\",\"figure.figsize\": [5,3],\n",
"\"axes.titlelocation\":\"left\",\"xaxis.labellocation\":\"left\",\"yaxis.labellocation\":\"bottom\"}\n",
"palette = [\"#3d348b\",\"#e6af2e\",\"#191716\",\"#e0e2db\"] #use your favourite colours\n",
"sns.set_theme(context='paper', style='white', palette=palette, font='Verdana', font_scale=1.3, color_codes=True,\n",
"rc=custom_params)\n",
"\n",
"from IPython.display import display, HTML\n",
"display(HTML(\"\"))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "5c5ec074",
"metadata": {},
"outputs": [],
"source": [
"path_data = \"../Data/\""
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "b5a40cd5",
"metadata": {},
"outputs": [],
"source": [
"def plot_network(G, a0 = None, values = None):\n",
" \"\"\"\n",
" Plots network with nice defaults\n",
" \"\"\"\n",
" if values is None:\n",
" values = nx.degree_centrality(G).values()\n",
" \n",
" norm = mpl.colors.Normalize(vmin=min(values), vmax=max(values), clip=True)\n",
" mapper = mpl.cm.ScalarMappable(norm=norm, cmap=mpl.cm.coolwarm)\n",
" mapper._A = []\n",
" cb = plt.colorbar(mapper, ax = a0, location=\"bottom\", shrink=0.8, pad = 0.02, label = \"Value\")\n",
" cb.outline.set_visible(False)\n",
"\n",
" # NEtwork\n",
" if nx.is_bipartite(G):\n",
" top = [_ for _ in G.nodes() if _[0] != \"S\"]\n",
" pos = nx.bipartite_layout(G, top)\n",
" node_color = [\"#e6af2e\" if node in top else \"#e0e2db\" for node in G]\n",
" else:\n",
" pos = nx.spring_layout(G, seed = 1)\n",
" node_color = [mapper.to_rgba(i) for i in values]\n",
"\n",
" nx.draw(G, pos = pos, with_labels = True, node_size=500*np.array(list(values)), edge_color = \"darkgray\", \n",
" node_color = node_color, ax = a0)\n",
" \n",
" \n",
"def plot_network_adj(G, values = None):\n",
" \"\"\"\n",
" Plots the graph (with color/node size adjusted according to values) and the adjacency matrix\n",
" \"\"\"\n",
" f, (a0, a1, a2) = plt.subplots(1, 3, gridspec_kw={'width_ratios': [1, 1, 0.5]}, figsize=(12,4))\n",
" \n",
" # Plot network\n",
" plot_network(G, a0, values = values)\n",
" \n",
" # Show adjacency table\n",
" df = nx.to_pandas_adjacency(G, nodelist=list(G.nodes()), dtype=int)\n",
" plot_table(a1, df.values, df.index, df.columns)\n",
"\n",
" A = nx.to_scipy_sparse_array(G, nodelist=list(G.nodes()), weight=1)\n",
" N = len(G.nodes())\n",
" \n",
" # Plot table as a heatmap\n",
" a2.spy(A)\n",
" sns.despine(bottom=\"True\", left=True)\n",
" plt.grid(True)\n",
" a2.set_xticks(range(N), G.nodes(), rotation=90)\n",
" a2.set_yticks(range(N), G.nodes())\n",
" \n",
" plt.tight_layout()\n",
"\n",
"def plot_table(a1, cellText, rowLabels, colLabels):\n",
" \"\"\"\n",
" Plots a table in a figure\n",
" \"\"\"\n",
" cellText = pd.DataFrame(cellText)\n",
" the_table = a1.table(cellText=cellText.values, rowLabels=rowLabels, colLabels=colLabels, loc='center', colLoc = \"left\", cellColours=(cellText>0).replace({False: \"white\", True:\"#e6af2e\"}).values)\n",
" a1.axis(False) \n",
" the_table.scale(0.8, 1.6)\n",
"\n",
" \n",
"def adj_to_net(A, d_names = {0: \"Alice\", 1: \"Bob\", 2: \"John\", 3:\"Amy\", 4:\"Mike\", 5:\"Rose\"}):\n",
" \"\"\"\n",
" Create graph from adjacency matrix, rename nodes\n",
" \"\"\"\n",
" G = nx.from_numpy_array(A, create_using=nx.DiGraph())\n",
" G = nx.relabel_nodes(G, d_names)\n",
" return G\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "c9ebce92",
"metadata": {},
"source": [
"# Let's start by example networks and visualize them\n",
"- Note the `create_using` parameter. What is it doing?"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7d193e37",
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Small directed network to understand matrix multiplication\n",
"G_dir = nx.from_edgelist([\n",
" (\"Alice\", \"Bob\"),\n",
" (\"John\", \"Alice\"),\n",
" (\"Bob\", \"John\"),\n",
" (\"Amy\", \"John\"),\n",
" (\"Mike\", \"John\"),\n",
" (\"Rose\", \"Alice\"),\n",
" (\"Mike\", \"Rose\")\n",
"], create_using=nx.DiGraph())\n",
"\n",
"plot_network_adj(G_dir)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "54585c50",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Small undirected network\n",
"G_undir = nx.from_edgelist([\n",
" (\"Alice\", \"Bob\"),\n",
" (\"John\", \"Alice\"),\n",
" (\"Bob\", \"John\"),\n",
" (\"Amy\", \"John\"),\n",
" (\"Mike\", \"John\"),\n",
" (\"Rose\", \"Alice\"),\n",
" (\"Mike\", \"Rose\")\n",
"], create_using=nx.Graph())\n",
"\n",
"\n",
"plot_network_adj(G_undir)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "51a04468",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" person | \n",
" children | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" Alice | \n",
" 2 | \n",
"
\n",
" \n",
" 1 | \n",
" Bob | \n",
" 0 | \n",
"
\n",
" \n",
" 2 | \n",
" John | \n",
" 2 | \n",
"
\n",
" \n",
" 3 | \n",
" Amy | \n",
" 0 | \n",
"
\n",
" \n",
" 4 | \n",
" Mike | \n",
" 1 | \n",
"
\n",
" \n",
" 5 | \n",
" Rose | \n",
" 5 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" person children\n",
"0 Alice 2\n",
"1 Bob 0\n",
"2 John 2\n",
"3 Amy 0\n",
"4 Mike 1\n",
"5 Rose 5"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create some metadata (number of children)\n",
"df = pd.DataFrame([[\"Alice\",2],\n",
" [\"Bob\",0],\n",
" [\"John\",2],\n",
" [\"Amy\",0],\n",
" [\"Mike\",1],\n",
" [\"Rose\",5]], columns=[\"person\",\"children\"])\n",
"\n",
"df"
]
},
{
"cell_type": "markdown",
"id": "7c01b51a",
"metadata": {},
"source": [
"# Exercise 1\n",
"__Goal__: Compare different ways to represent matrixes and convert between them \n",
"\n",
"Start from the `G_dir` network"
]
},
{
"cell_type": "markdown",
"id": "6f409eee",
"metadata": {},
"source": [
"## 1.1 Convert the directed network to different formats\n",
"- numpy_array\n",
"- scipy_sparse_array\n",
"- pandas_adjacency\n",
"- pandas_edgelist\n",
"\n",
"What are the advantages of each?\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "7cabece8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<6x6 sparse array of type ''\n",
"\twith 7 stored elements in Compressed Sparse Row format>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Example: \n",
"A = nx.to_scipy_sparse_array(G_dir, nodelist=list(G_dir.nodes()), weight=1)\n",
"A"
]
},
{
"cell_type": "markdown",
"id": "362161a0",
"metadata": {},
"source": [
"### 1.2 Use plt.spy() to visualize the scipy_sparse_array"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "a8f0b56d",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.spy(A)"
]
},
{
"cell_type": "markdown",
"id": "764792ab",
"metadata": {},
"source": [
"## 1.3 Create a network object from the pandas adjacency list (edgelist)\n",
"\n",
"Now starting from an edgelist (created below, `df_edg`), convert it to a graph. You have done this before in the morning"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "c6ac3f23",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
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" \n",
" \n",
" | \n",
" source | \n",
" target | \n",
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" \n",
" 0 | \n",
" Alice | \n",
" Bob | \n",
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" 1 | \n",
" Bob | \n",
" John | \n",
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" 2 | \n",
" John | \n",
" Alice | \n",
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" 3 | \n",
" Amy | \n",
" John | \n",
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" 4 | \n",
" Mike | \n",
" John | \n",
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],
"text/plain": [
" source target\n",
"0 Alice Bob\n",
"1 Bob John\n",
"2 John Alice\n",
"3 Amy John\n",
"4 Mike John"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Starting from an edgelist\n",
"df_edg = nx.to_pandas_edgelist(G_dir, nodelist=list(G_dir.nodes()))\n",
"df_edg.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "88866f25",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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