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@ricsi98
Last active June 27, 2024 20:41
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Spectral Convolution on Graphs
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import networkx as nx\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"graph = nx.karate_club_graph()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# plot the graph\n",
"A = nx.adjacency_matrix(graph).toarray()\n",
"D = np.diag(1 / np.sum(A, axis=1))\n",
"D_12 = np.diag(1 / np.sqrt(np.sum(A, axis=1)))\n",
"L = np.eye(len(A)) - D_12 @ A @ D_12\n",
"U, S, _ = np.linalg.svd(L, hermitian=True)\n",
"L /= np.max(S)\n",
"U, S, _ = np.linalg.svd(L, hermitian=True)\n",
"# sort the eigenvectors by eigenvalues\n",
"idx = S.argsort()\n",
"U = U[:, idx]\n",
"S = S[idx]\n",
"\n",
"layout = nx.spring_layout(graph)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Spectrum of the Laplacian')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(5,3))\n",
"plt.plot(S)\n",
"plt.xlabel('Eigenvalue index')\n",
"plt.ylabel('Eigenvalue (\\lambda)')\n",
"plt.title('Spectrum of the Laplacian')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Low pass filter on noisy signal"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"signal = U[:, 1] + np.random.uniform(-0.5, 0.5, len(U[:, 1]))\n",
"# low pass filter\n",
"g = np.where(S < 0.15, 1, 0)\n",
"\n",
"\n",
"s_freq = U.T @ signal\n",
"s_filtered_freq = g * s_freq\n",
"s_filtered = U @ s_filtered_freq"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_136987/3457587824.py:6: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n",
" plt.colorbar(sm)\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'amplitude')"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x400 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax2, ax1) = plt.subplots(1,2, figsize=(10,4))\n",
"nx.draw(graph, layout, ax=ax1, node_size=50, node_color=signal, edge_color='gray')\n",
"# set colorbar\n",
"sm = plt.cm.ScalarMappable(cmap='viridis', norm=plt.Normalize(vmin=min(signal), vmax=max(signal)))\n",
"sm._A = []\n",
"plt.colorbar(sm)\n",
"\n",
"ax2.plot(S, s_freq)\n",
"ax2.scatter(S, s_freq, c=\"red\", s=20, marker='x')\n",
"ax2.set_xlabel(\"\\lambda\")\n",
"ax2.set_ylabel(\"amplitude\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_136987/3295860322.py:6: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n",
" plt.colorbar(sm)\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'amplitude')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x400 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax2, ax1) = plt.subplots(1,2, figsize=(10,4))\n",
"nx.draw(graph, layout, ax=ax1, node_size=50, node_color=s_filtered, edge_color='gray')\n",
"# set colorbar\n",
"sm = plt.cm.ScalarMappable(cmap='viridis', norm=plt.Normalize(vmin=min(s_filtered), vmax=max(s_filtered)))\n",
"sm._A = []\n",
"plt.colorbar(sm)\n",
"\n",
"ax2.plot(S, s_filtered_freq, label=\"filtered signal\")\n",
"ax2.plot(S, U.T @ U[:, 1], label=\"target\")\n",
"ax2.scatter(S, s_filtered_freq, c=\"red\", s=20, marker='x')\n",
"ax2.legend()\n",
"ax2.set_xlabel(\"\\lambda\")\n",
"ax2.set_ylabel(\"amplitude\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Signal completion with spectral regularization"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"# signal = U[:, 1] + np.random.uniform(-0.5, 0.5, len(U[:, 1])) * 0.1\n",
"# signal is the graph distance from node 0\n",
"distances = nx.single_source_shortest_path_length(graph, 0)\n",
"signal = np.array([distances[i] for i in range(len(distances))])\n",
"mask = np.random.choice([0, 1], len(S), p=[0.2, 0.8])\n",
"y = mask * signal\n"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" message: Desired error not necessarily achieved due to precision loss.\n",
" success: False\n",
" status: 2\n",
" fun: 1.0286457194751377\n",
" x: [ 1.069e-01 5.851e-01 ... 2.180e+00 2.194e+00]\n",
" nit: 13\n",
" jac: [-6.135e-04 -1.481e-02 ... 7.324e-03 7.343e-03]\n",
" hess_inv: [[ 1.007e+00 1.404e-01 ... 1.008e-03 1.205e-03]\n",
" [ 1.404e-01 3.662e+00 ... 3.881e-03 7.768e-03]\n",
" ...\n",
" [ 1.008e-03 3.881e-03 ... 1.002e+00 2.536e-03]\n",
" [ 1.205e-03 7.768e-03 ... 2.536e-03 1.003e+00]]\n",
" nfev: 83\n",
" njev: 71\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# low pass filter\n",
"g = np.where(S < 0.15, 1, 0)\n",
"# high pass filter\n",
"h = np.where(S > 0.3, 1, 0)\n",
"\n",
"# completion\n",
"def objective(y, x, mask, mu):\n",
" x_freq = U.T @ x\n",
" x_filtered_freq = h * x_freq\n",
" x_filtered = U @ x_filtered_freq\n",
" # what about ||x_filtered - x||^2 regularization?\n",
" return np.linalg.norm(mask * (y - x)) + mu * np.linalg.norm(x_filtered)\n",
"\n",
"def gradient(y, x, mask, mu):\n",
" M = mask\n",
" h_squared = h ** 2\n",
" \n",
" term1 = -M ** 2 * (y - x)\n",
" \n",
" x_freq = U.T @ x\n",
" x_filtered_freq = h_squared * x_freq\n",
" term2 = mu * U @ x_filtered_freq\n",
" \n",
" grad = term1 + term2\n",
" return grad\n",
"\n",
"from scipy.optimize import minimize\n",
"mu = 0.1\n",
"res = minimize(lambda x: objective(y, x, mask, mu), np.zeros(len(y)), jac=lambda x: gradient(y, x, mask, mu))\n",
"reconstructed = res.x\n",
"print(res)\n",
"\n",
"plt.figure(figsize=(5,3))\n",
"plt.plot(signal)\n",
"plt.plot(reconstructed)\n",
"plt.legend(['Original', 'Recovered'])\n",
"# show missing values\n",
"plt.scatter(np.where(mask == 0)[0], y[mask == 0], c='red')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_136987/3007927814.py:6: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n",
" plt.colorbar(sm)\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'amplitude')"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x400 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax2, ax1) = plt.subplots(1,2, figsize=(10,4))\n",
"nx.draw(graph, layout, ax=ax1, node_size=50, node_color=mask, edge_color='gray')\n",
"# set colorbar\n",
"sm = plt.cm.ScalarMappable(cmap='viridis', norm=plt.Normalize(vmin=min(mask), vmax=max(mask)))\n",
"sm._A = []\n",
"plt.colorbar(sm)\n",
"\n",
"ax2.plot(S, U.T @ signal)\n",
"ax2.scatter(S, U.T @ signal, c=\"red\", s=20, marker='x')\n",
"ax2.set_xlabel(\"\\lambda\")\n",
"ax2.set_ylabel(\"amplitude\")"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_136987/3056235273.py:9: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n",
" plt.colorbar(sm)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7193de45cb80>"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x400 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax2, ax1) = plt.subplots(1,2, figsize=(10,4))\n",
"# draw red circles around masked values\n",
"nx.draw_networkx_nodes(graph, layout, nodelist=np.where(mask == 0)[0], node_color='red', node_size=110, ax=ax1)\n",
"nx.draw(graph, layout, ax=ax1, node_size=50, node_color=reconstructed, edge_color='gray')\n",
"\n",
"# set colorbar\n",
"sm = plt.cm.ScalarMappable(cmap='viridis', norm=plt.Normalize(vmin=min(reconstructed), vmax=max(reconstructed)))\n",
"sm._A = []\n",
"plt.colorbar(sm)\n",
"\n",
"r_freq = U.T @ reconstructed\n",
"\n",
"ax2.plot(S, U.T @ signal, label='original') \n",
"ax2.plot(S, r_freq, label='reconstructed')\n",
"ax2.scatter(S, r_freq, c=\"red\", s=20, marker='x')\n",
"# draw red ticks at the eigenvalues\n",
"#ax2.scatter(S, [0]*len(S), color='r', marker='o', s=8)\n",
"# \\lambda character\n",
"ax2.set_xlabel(\"\\lambda\")\n",
"ax2.set_ylabel(\"amplitude\")\n",
"ax2.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Frequency of class labels"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Downloading https://github.com/kimiyoung/planetoid/raw/master/data/ind.cora.x\n",
"Downloading https://github.com/kimiyoung/planetoid/raw/master/data/ind.cora.tx\n",
"Downloading https://github.com/kimiyoung/planetoid/raw/master/data/ind.cora.allx\n",
"Downloading https://github.com/kimiyoung/planetoid/raw/master/data/ind.cora.y\n",
"Downloading https://github.com/kimiyoung/planetoid/raw/master/data/ind.cora.ty\n",
"Downloading https://github.com/kimiyoung/planetoid/raw/master/data/ind.cora.ally\n",
"Downloading https://github.com/kimiyoung/planetoid/raw/master/data/ind.cora.graph\n",
"Downloading https://github.com/kimiyoung/planetoid/raw/master/data/ind.cora.test.index\n",
"Processing...\n",
"Done!\n"
]
}
],
"source": [
"from torch_geometric.datasets import Planetoid\n",
"from torch_geometric.utils import to_networkx\n",
"dataset = Planetoid(root='data', name='Cora')\n",
"\n",
"graph = to_networkx(dataset[0], to_undirected=True)"
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {},
"outputs": [],
"source": [
"A = nx.adjacency_matrix(graph).toarray()\n",
"D = np.diag(1 / np.sum(A, axis=1))\n",
"D_12 = np.diag(1 / np.sqrt(np.sum(A, axis=1)))\n",
"L = np.eye(len(A)) - D_12 @ A @ D_12\n",
"U, S, _ = np.linalg.svd(L, hermitian=True)\n",
"L /= np.max(S)\n",
"U, S, _ = np.linalg.svd(L, hermitian=True)\n",
"# sort the eigenvectors by eigenvalues\n",
"idx = S.argsort()\n",
"U = U[:, idx]\n",
"S = S[idx]"
]
},
{
"cell_type": "code",
"execution_count": 138,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2000x1000 with 8 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# labels as signal\n",
"\n",
"labels = dataset[0].y.numpy()\n",
"\n",
"fig, axes = plt.subplots(2, 4, figsize=(20, 10))\n",
"for i, label in enumerate(set(labels)):\n",
" signal = (labels == label).astype(float)\n",
" s_freq = U.T @ signal\n",
" ax = axes[i // 4, i % 4]\n",
" ax.plot(S, s_freq)\n",
" ax.set_title(f\"Label {label}\")\n",
" ax.set_xlabel(\"\\lambda\")\n",
" ax.set_ylabel(\"amplitude\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Note:**\n",
"All label signals contain some noise. However the dominant frequencies are low frequencies."
]
},
{
"cell_type": "code",
"execution_count": 139,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.preprocessing import OneHotEncoder\n",
"labels = OneHotEncoder().fit_transform(dataset[0].y.reshape(-1, 1)).toarray()\n",
"l_freq = U.T @ labels"
]
},
{
"cell_type": "code",
"execution_count": 162,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Filter gain')"
]
},
"execution_count": 162,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# low pass filter\n",
"g = 1 / (1 + (S / 0.2) ** 8)\n",
"l_filtered_freq = g.reshape(-1,1) * l_freq\n",
"l_filtered = U @ l_filtered_freq\n",
"plt.figure(figsize=(5,3))\n",
"plt.plot(S, g)\n",
"plt.xlabel('\\lambda')\n",
"plt.ylabel('Filter gain')"
]
},
{
"cell_type": "code",
"execution_count": 163,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2000x1000 with 8 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2, 4, figsize=(20, 10))\n",
"for i, label in enumerate(range(7)):\n",
" freq = l_filtered_freq[:, i]\n",
" ax = axes[i // 4, i % 4]\n",
" ax.plot(S, freq)\n",
" ax.set_title(f\"Label {label}\")\n",
" ax.set_xlabel(\"\\lambda\")\n",
" ax.set_ylabel(\"amplitude\")"
]
},
{
"cell_type": "code",
"execution_count": 164,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy of the smoothed labels:0.9151\n"
]
},
{
"data": {
"text/plain": [
"array([[302, 7, 3, 17, 7, 9, 6],\n",
" [ 3, 193, 7, 9, 1, 3, 1],\n",
" [ 3, 6, 402, 3, 0, 4, 0],\n",
" [ 24, 6, 5, 755, 16, 10, 2],\n",
" [ 17, 2, 0, 16, 390, 1, 0],\n",
" [ 8, 2, 3, 3, 3, 275, 4],\n",
" [ 8, 0, 0, 2, 0, 9, 161]])"
]
},
"execution_count": 164,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.metrics import accuracy_score, confusion_matrix\n",
"smooth_labels = l_filtered.argmax(axis=1)\n",
"print(f\"Accuracy of the smoothed labels:{accuracy_score(dataset[0].y.numpy(), smooth_labels):.4f}\")\n",
"\n",
"confusion_matrix(dataset[0].y.numpy(), smooth_labels)"
]
},
{
"cell_type": "code",
"execution_count": 160,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" 0%| | 0/50 [00:00<?, ?it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 50/50 [00:24<00:00, 2.00it/s]\n"
]
}
],
"source": [
"from torch_geometric.nn import Node2Vec\n",
"import torch\n",
"from tqdm import tqdm\n",
"\n",
"device = 'cuda' if torch.cuda.is_available() else 'cpu'\n",
"model = Node2Vec(\n",
" dataset[0].edge_index,\n",
" embedding_dim=2,\n",
" walk_length=20,\n",
" context_size=10,\n",
" walks_per_node=10,\n",
" num_negative_samples=1,\n",
" p=1.0,\n",
" q=1.0,\n",
" sparse=True,\n",
").to(device)\n",
"\n",
"loader = model.loader(batch_size=128, shuffle=True, num_workers=8)\n",
"optimizer = torch.optim.SparseAdam(list(model.parameters()), lr=0.01)\n",
"\n",
"model.train()\n",
"for epoch in tqdm(range(50), total=50):\n",
" for pos_rw, neg_rw in loader:\n",
" optimizer.zero_grad()\n",
" loss = model.loss(pos_rw.to(device), neg_rw.to(device))\n",
" loss.backward()\n",
" optimizer.step()"
]
},
{
"cell_type": "code",
"execution_count": 171,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"layout = model.embedding.cpu().weight.detach().numpy()\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 3))\n",
"ax1.scatter(layout[:, 0], layout[:, 1], c=dataset[0].y.numpy(), cmap='tab10', s=5)\n",
"ax1.set_title('Original labels')\n",
"mask = smooth_labels != dataset[0].y.numpy()\n",
"ax2.scatter(layout[:, 0], layout[:, 1], c=smooth_labels, cmap='tab10', s=5)\n",
"ax2.scatter(layout[mask, 0], layout[mask, 1], c='black', s=5, label='Misclassified', marker='*')\n",
"ax2.set_title('Smoothed labels')\n",
"ax2.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"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": "3.8.18"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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