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Last active July 10, 2019 02:41
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Laplacian Eigenmap

Laplacian Eigenmap

  1. Build graph by KNN, weight edge by heat kernel.
  2. Calc laplcian matrix's eigenvalue & eigenvector.
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{
"cells": [
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits import mplot3d # projection='3d'\n",
"from sklearn.datasets import make_swiss_roll\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"def laplaEigen(dataMat, k, t):\n",
" m, n = np.shape(dataMat) # m 样本数; n 特征维度\n",
" W = np.mat(np.zeros([m, m]))\n",
" D = np.mat(np.zeros([m, m]))\n",
" for i in range(m):\n",
" k_index = knn(dataMat[i, :], dataMat, k) # 寻找样本i的topk相似样本\n",
" for j in range(k):\n",
" sqDiffVector = dataMat[i, :]-dataMat[k_index[j], :]\n",
" sqDiffVector = np.array(sqDiffVector)**2\n",
" sqDistances = sqDiffVector.sum()\n",
" W[i, k_index[j]] = math.exp(-sqDistances/t) # heat kernel: exp(|xi-xj|^2/-t)\n",
" D[i, i] += W[i, k_index[j]] # degree matrix\n",
" L = D-W # laplacian matrix\n",
" X = np.dot(D.I, L)\n",
" lamda, f = np.linalg.eig(X)\n",
" return lamda, f\n",
"\n",
"\n",
"def knn(X, dataSet, k):\n",
" dataSetSize = dataSet.shape[0]\n",
" diffMat = np.tile(X, (dataSetSize, 1)) - dataSet\n",
" sqDiffMat = np.array(diffMat)**2\n",
" sqDistances = sqDiffMat.sum(axis=1)\n",
" distances = sqDistances**0.5\n",
" sortedDistIndicies = distances.argsort()\n",
" return sortedDistIndicies[0:k]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"fm,fn: 2000 2000\n"
]
}
],
"source": [
"dataMat, color = make_swiss_roll(n_samples=2000)\n",
"lamda, f = laplaEigen(dataMat, 11, 5.0)\n",
"fm, fn = np.shape(f)\n",
"print('fm,fn:', fm, fn)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2 3\n",
"(0.00018270839230918951+0j)\n",
"3 4\n"
]
}
],
"source": [
"lamdaIndicies = np.argsort(lamda)\n",
"first = 0\n",
"second = 0\n",
"print(lamdaIndicies[0], lamdaIndicies[1])\n",
"for i in range(fm):\n",
" if lamda[lamdaIndicies[i]].real > 1e-5:\n",
" print(lamda[lamdaIndicies[i]])\n",
" first = lamdaIndicies[i]\n",
" second = lamdaIndicies[i+1]\n",
" break\n",
"print(first, second)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 2, 3, 4, ..., 346, 345, 344])"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lamdaIndicies"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(2000, 1)"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f[:, 3].shape"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"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": [
"redEigVects = f[:, lamdaIndicies]\n",
"fig = plt.figure('origin')\n",
"ax1 = fig.add_subplot(111, projection='3d')\n",
"ax1.scatter(dataMat[:, 0], dataMat[:, 1], dataMat[:, 2],\n",
" c=color, cmap=plt.cm.Spectral)\n",
"fig = plt.figure('lowdata')\n",
"ax2 = fig.add_subplot(111)\n",
"fa = np.array(f)\n",
"ax2.scatter(fa[:,first], fa[:,second], c=color, cmap=plt.cm.Spectral)\n",
"plt.show()"
]
},
{
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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