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@mikk-c
Created August 6, 2024 11:39
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "d195bf63-1e40-4199-940a-61708b39378a",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import networkx as nx\n",
"import seaborn as sns\n",
"from numpy.linalg import svd\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "504f3af8-cccb-4b4d-b256-3bc763f56810",
"metadata": {},
"outputs": [],
"source": [
"def edge_pooling(emb, n):\n",
" edge_embeddings = np.zeros((n * (n - 1) // 2, 2))\n",
" k = 0\n",
" for u in range(n - 1):\n",
" for v in range(u + 1, n):\n",
" edge_embeddings[k] = np.multiply(emb[u], emb[v])\n",
" k += 1\n",
" return edge_embeddings"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "75a1c603-ff64-4305-acdd-a8714046eaa4",
"metadata": {},
"outputs": [],
"source": [
"H = nx.read_edgelist(\"1/data.txt\", delimiter = \"\\t\", nodetype = int)\n",
"G = nx.Graph()\n",
"G.add_nodes_from(sorted(H.nodes))\n",
"G.add_edges_from(H.edges)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7de7d664-2c19-4d29-be33-cfa93f5f7f68",
"metadata": {},
"outputs": [],
"source": [
"D = np.array(list(dict(G.degree).values())) ** (-1/2)\n",
"A = nx.adjacency_matrix(G).todense()\n",
"L = D * A * D\n",
"U, s, Vt = svd(L)\n",
"embeddings_1 = U[:,:2]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e6cc6899-7dac-4c0d-bfdb-1f0ed1dd714d",
"metadata": {},
"outputs": [],
"source": [
"I = np.eye(A.shape[0])\n",
"L = (I - A).T.dot(I - A)\n",
"vals, vects = np.linalg.eig(L)\n",
"embeddings_2 = vects[:,1:3]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "0c9e9ddf-a867-477e-a71d-81a556786260",
"metadata": {},
"outputs": [],
"source": [
"D = np.array(list(dict(G.degree).values())) ** (1/2)\n",
"L = nx.laplacian_matrix(G).todense()\n",
"L = D * L * D\n",
"vals, vects = np.linalg.eig(L)\n",
"embeddings_3 = vects[:,:2]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "f04076a7-4ed0-48f1-8aee-f0a6bfb9a513",
"metadata": {},
"outputs": [],
"source": [
"edge_embeddings_1 = edge_pooling(embeddings_1, A.shape[0])\n",
"edge_embeddings_2 = edge_pooling(embeddings_2, A.shape[0])\n",
"edge_embeddings_3 = edge_pooling(embeddings_3, A.shape[0])\n",
"\n",
"edge_exists = np.concatenate([np.array([A[u,v] for v in range(u + 1, A.shape[0])]) for u in range(A.shape[0] - 1)])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "8c3a1ab3-0f36-4e64-9783-c72eb9a5c8a3",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = sns.scatterplot(x = edge_embeddings_1[:,0], y = edge_embeddings_1[:,1], hue = edge_exists)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "7b2daa67-7fd7-4779-ad02-5044f444443a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = sns.scatterplot(x = edge_embeddings_2[:,0], y = edge_embeddings_2[:,1], hue = edge_exists)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "31fc3236-7c32-467c-a9a7-65d4f959ab27",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = sns.scatterplot(x = edge_embeddings_3[:,0], y = edge_embeddings_3[:,1], hue = edge_exists)\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.12.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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