Skip to content

Instantly share code, notes, and snippets.

@nicofarr
Created August 16, 2017 00:56
Show Gist options
  • Select an option

  • Save nicofarr/b91d2c437cb823d0140cfea3baae384d to your computer and use it in GitHub Desktop.

Select an option

Save nicofarr/b91d2c437cb823d0140cfea3baae384d to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hi Hannah, \n",
"\n",
"Below I've done some simple tests with [MDS using sklearn](http://scikit-learn.org/stable/modules/manifold.html#multi-dimensional-scaling-mds). \n",
"\n",
"Here are the needed packages : matplotlib, numpy, pandas, and of course sklearn. \n",
"\n",
"Let's import them"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt \n",
"import numpy as np\n",
"import pandas as pd \n",
"from sklearn.manifold import MDS\n",
"\n",
"%matplotlib inline \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now I define the path to your final xls file sent previously. With the command read_excel, I can open only one sheet, so I choose the first one for now (\"trial full model dissimilarity\")."
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"filepath = '/Users/nicolasfarrugia/Desktop/hannah/fnal-triad pairwise similarity (2).xlsx'\n",
"\n",
"datframe = pd.read_excel(filepath,sheetname=\"triad full model dissimilarity\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's check if the xls file was read properly by looking at the column headers,..."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"['Pairing',\n",
" 'Genre',\n",
" 'dissimilarity score triad',\n",
" 'dissimilarity score full model ',\n",
" 'Genre.1']"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(datframe)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"... and the first five rows"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Pairing</th>\n",
" <th>Genre</th>\n",
" <th>dissimilarity score triad</th>\n",
" <th>dissimilarity score full model</th>\n",
" <th>Genre.1</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1&amp;2</td>\n",
" <td>Jazz &amp; Jazz</td>\n",
" <td>0.6250</td>\n",
" <td>0.794830</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1&amp;3</td>\n",
" <td>Jazz &amp; Pop</td>\n",
" <td>0.9375</td>\n",
" <td>0.780540</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1&amp;4</td>\n",
" <td>Jazz &amp; Pop</td>\n",
" <td>0.7500</td>\n",
" <td>0.756130</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1&amp;5</td>\n",
" <td>Jazz &amp; Hiphop</td>\n",
" <td>0.7500</td>\n",
" <td>0.779040</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1&amp;6</td>\n",
" <td>Jazz &amp; Hiphop</td>\n",
" <td>0.7500</td>\n",
" <td>0.904891</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Pairing Genre dissimilarity score triad \\\n",
"0 1&2 Jazz & Jazz 0.6250 \n",
"1 1&3 Jazz & Pop 0.9375 \n",
"2 1&4 Jazz & Pop 0.7500 \n",
"3 1&5 Jazz & Hiphop 0.7500 \n",
"4 1&6 Jazz & Hiphop 0.7500 \n",
"\n",
" dissimilarity score full model Genre.1 \n",
"0 0.794830 1 \n",
"1 0.780540 0 \n",
"2 0.756130 0 \n",
"3 0.779040 0 \n",
"4 0.904891 0 "
]
},
"execution_count": 104,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"datframe[0:5]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now I define the list of stimuli, by putting the genre as an prefix. "
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"stim_id = ['jazz-1','jazz-2',\n",
" 'pop-3','pop-4',\n",
" 'rap-5','rap-6',\n",
" 'rock-7','rock-8',\n",
" 'jazz-9','pop-10','pop-11','rock-12',\n",
" 'rap-13','jazz-14','rock-15','rap-16']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we need to construct the similarity matrix. We need to check the order you have put for the pairings"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0 1&2\n",
"1 1&3\n",
"2 1&4\n",
"3 1&5\n",
"4 1&6\n",
"5 1&7\n",
"6 1&8\n",
"7 1&9\n",
"8 1&10\n",
"9 1&11\n",
"10 1&12\n",
"11 1&13\n",
"12 1&14\n",
"13 1&15\n",
"14 1&16\n",
"15 2&3\n",
"16 2&4\n",
"17 2&5\n",
"18 2&6\n",
"19 2&7\n",
"20 2&8\n",
"21 2&9\n",
"22 2&10\n",
"23 2&11\n",
"24 2&12\n",
"25 2&13\n",
"26 2&14\n",
"27 2&15\n",
"28 2&16\n",
"29 3&4\n",
" ... \n",
"90 8&15\n",
"91 8&16\n",
"92 9&10\n",
"93 9&11\n",
"94 9&12\n",
"95 9&13\n",
"96 9&14\n",
"97 9&15\n",
"98 9&16\n",
"99 10&11\n",
"100 10&12\n",
"101 10&13\n",
"102 10&14\n",
"103 10&15\n",
"104 10&16\n",
"105 11&12\n",
"106 11&13\n",
"107 11&14\n",
"108 11&15\n",
"109 11&16\n",
"110 12&13\n",
"111 12&14\n",
"112 12&15\n",
"113 12&16\n",
"114 13&14\n",
"115 13&15\n",
"116 13&16\n",
"117 14&15\n",
"118 14&16\n",
"119 15&16\n",
"Name: Pairing, dtype: object"
]
},
"execution_count": 105,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"datframe['Pairing']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It seems like you have ordered them in a way that corresponds to filling the matrix column wise, then row wise, and skipping the diagonal. The set of indices corresponding to this order can easily be generated by doing so : "
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0 1\n",
"0 2\n",
"0 3\n",
"0 4\n",
"0 5\n",
"0 6\n",
"0 7\n",
"0 8\n",
"0 9\n",
"0 10\n",
"0 11\n",
"0 12\n",
"0 13\n",
"0 14\n",
"0 15\n",
"1 2\n",
"1 3\n",
"1 4\n",
"1 5\n",
"1 6\n",
"1 7\n",
"1 8\n",
"1 9\n",
"1 10\n",
"1 11\n",
"1 12\n",
"1 13\n",
"1 14\n",
"1 15\n",
"2 3\n",
"2 4\n",
"2 5\n",
"2 6\n",
"2 7\n",
"2 8\n",
"2 9\n",
"2 10\n",
"2 11\n",
"2 12\n",
"2 13\n",
"2 14\n",
"2 15\n",
"3 4\n",
"3 5\n",
"3 6\n",
"3 7\n",
"3 8\n",
"3 9\n",
"3 10\n",
"3 11\n",
"3 12\n",
"3 13\n",
"3 14\n",
"3 15\n",
"4 5\n",
"4 6\n",
"4 7\n",
"4 8\n",
"4 9\n",
"4 10\n",
"4 11\n",
"4 12\n",
"4 13\n",
"4 14\n",
"4 15\n",
"5 6\n",
"5 7\n",
"5 8\n",
"5 9\n",
"5 10\n",
"5 11\n",
"5 12\n",
"5 13\n",
"5 14\n",
"5 15\n",
"6 7\n",
"6 8\n",
"6 9\n",
"6 10\n",
"6 11\n",
"6 12\n",
"6 13\n",
"6 14\n",
"6 15\n",
"7 8\n",
"7 9\n",
"7 10\n",
"7 11\n",
"7 12\n",
"7 13\n",
"7 14\n",
"7 15\n",
"8 9\n",
"8 10\n",
"8 11\n",
"8 12\n",
"8 13\n",
"8 14\n",
"8 15\n",
"9 10\n",
"9 11\n",
"9 12\n",
"9 13\n",
"9 14\n",
"9 15\n",
"10 11\n",
"10 12\n",
"10 13\n",
"10 14\n",
"10 15\n",
"11 12\n",
"11 13\n",
"11 14\n",
"11 15\n",
"12 13\n",
"12 14\n",
"12 15\n",
"13 14\n",
"13 15\n",
"14 15\n"
]
}
],
"source": [
"ind_row,ind_col = np.triu_indices(16,1)\n",
"\n",
"for i,j in zip(ind_row,ind_col):\n",
" print(i,j)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It looks good except that in Python indices start at 0, but I can use those indices to create the final matrix, by putting the values from the 'dissimilarity score triad' row in a matrix at exactly those coordinates"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"triad_scores = datframe['dissimilarity score triad']\n",
"\n",
"dissmat = np.zeros((16,16))\n",
"\n",
"dissmat[triu_ind] = triad_scores"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And now I need to make a symmetric matrix out of this, which is easy by just adding the transpose matrix"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"dissmat = dissmat + dissmat.T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There you, we have a symmetric dissimilarity matrix. \n",
"We can input this into the MDS in sklearn, by providing : \n",
"- the number of dimensions we are looking for\n",
"- the fact that we already computed the dissimilarity (we provide the matrix)\n",
"\n",
"This line initializes the MDS : "
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mymds = MDS(dissimilarity='precomputed',n_components=2,random_state=42)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we fit the model by giving the data, and plot the result, which is the stimuli in the new space (2 dimensions). I've put the labels of the stimuli to see whether their reconstructed coordinates correspond to something relevant regarding Genre. "
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAD8CAYAAACCRVh7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWCRJQgghhEX/H0ybC97xPSFZAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a4541d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mymds.fit(dissmat)\n",
"\n",
"n = range(16)\n",
"fig, ax = plt.subplots()\n",
"\n",
"z = mymds.embedding_[:,0]\n",
"y = mymds.embedding_[:,1]\n",
"\n",
"ax.scatter(z,y)\n",
"\n",
"\n",
"for i, txt in enumerate(stim_id):\n",
" ax.annotate(txt, (z[i]+0.005,y[i]+0.005))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Not super clear whether genre is preserved in this 2 dimensional space. Let's try with 3. "
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAWQAAADuCAYAAAAOR30qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEUlEQVQOB4ETZA4ODg4H4f8BWtzsR88mIqIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b19ee80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"fig = plt.figure()\n",
"\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"mymds = MDS(dissimilarity='precomputed',n_components=3,random_state=42)\n",
"\n",
"mymds.fit(dissmat)\n",
"\n",
"n = range(16)\n",
"\n",
"x = mymds.embedding_[:,0]\n",
"y = mymds.embedding_[:,1]\n",
"z = mymds.embedding_[:,2]\n",
"\n",
"ax.scatter(x,y,z)\n",
"\n",
"\n",
"for i, txt in enumerate(stim_id):\n",
"\n",
" ax.text(x[i]+0.005,y[i]+0.005,z[i]+0.005,txt)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's now try from 1 to 20 dimensions, and plot the \"stress\" value (see explanations in the link above). The lower the better. "
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10a843f60>"
]
},
"execution_count": 131,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD8CAYAAABw1c+bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqWMMfknqmP8PTMnD5E3dKIoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1085dd4a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"allstress = []\n",
"\n",
"\n",
"for ndim in range(1,20):\n",
"\n",
" mymds = MDS(dissimilarity='precomputed',n_components=ndim)\n",
"\n",
" mymds.fit(dissmat)\n",
" \n",
" allstress.append(mymds.stress_)\n",
"\n",
" \n",
"plt.scatter(range(1,20),allstress)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It seems that 4 or 5 dimensions are enough, because the stress value doesn't change much with more dimensions. Let's stick with 4 dimensions, do MDS and plot all possible pairs of dimensions using 2D plots, to see whether we have some projections that seem relevant to the identification of Genre. "
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEKCAYAAAAxXHOuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xt8VNW5+P/PQ0CMQAjIRUgCSYskXHIlQiAql1jA0gRK\nAUWscFBoCrQiAlI5KtrTikrR+sOfgIdyUxBRCRwQEAIYjqKQSCSgIhwThIBIuEiRcElY3z9mMuYy\nSYawZyaX5/165TUze6+99rO3OM/svdZeS4wxKKWUUlap5+0AlFJK1S6aWJRSSllKE4tSSilLaWJR\nSillKU0sSimlLKWJRSmllKU0sSillLKUJhallFKW0sSilFLKUvW9HYDVWrRoYYKDg70dhlJK1SgZ\nGRl5xpiWVtRV6xJLcHAw6enp3g5DKaVqFBE5YlVdeitMKaWUpTSxKKWUspQmFqWUUpbSxKK8plev\nXm6pd+DAgfj7+/Ob3/zG6fo///nPNG7c2C37VkppYlFe9Mknn7il3mnTprF8+XKn69LT0zl79qxb\n9quUstHEorymcePGXLhwgYSEBGJiYggPD2ft2rUAzJ8/n6ioKKKioggJCaFv376sW7fOsSw0NJSQ\nkBCn9SYkJNCkSZMyywsLC5k2bRovvviiW49Lqbqu1nU3VjXLzTffzJo1a/Dz8yMvL4+4uDiSkpJI\nTk4mOTmZq1ev0q9fP6ZMmUJiYiJJSUkAjBgxgt69e1/XvubNm0dSUhJt2rRxx6Eopew0sSivMsbw\n5JNPkpaWRr169cjNzeXkyZPcdtttADz66KP069ePxMRExzYvvvgivr6+TJw40eX9HD9+nNWrV7Nj\nxw6rD0EpVYpXb4WJyEAROSgih0VkRgXlficiRkRiPRmfskbK3lziZ28jZMYG4mdvI2VvrmPdW2+9\nxalTp8jIyCAzM5PWrVtz6dIlAJYsWcKRI0d45plnHOW3bt3K6tWrmT9/PgCfffaZ4/bYunXryo1h\n7969HD58mA4dOhAcHMzFixfp0KGDm45YqbrNa1csIuIDvAb8CjgG7BGRdcaYL0uVawI8Cnzm+SjV\njUrZm8tf3s8i/2ohALnn8vnL+1mO9T/++COtWrWiQYMGbN++nSNHbA//ZmRkMGfOHHbu3Em9erbf\nP0eOHGHixIls3rwZX19fAHr06EFmZmalcQwaNIjvv//e8blx48YcPnzYsuNUSv3Mm7fCugOHjTHf\nAojI28Bg4MtS5f4KvABM82x4ygovbT7oSCpF8q8W8tLmg4gIo0aNIjExkfDwcGJjYwkLCwNs7SFn\nzpyhb9++AMTGxhIUFMTp06cZMmQIAG3btuWDDz4os8+77rqLr7/+mgsXLhAYGMiiRYsYMGCAm49U\nKVXEm4klADha7PMxoEfxAiISAwQZYzaISLmJRUTGA+MB2rVr54ZQVVUdP5fvdPnREydp3rw5LVq0\nYNeuXWXWL1682Ol2xW+LlWfnzp2Vlrlw4UKlZZRSVVNtuxuLSD1gLvB4ZWWNMQuNMbHGmNiWLS0Z\nnFNZpK2/b5llBf8+zam3pjF16lQvRKSUcjdvJpZcIKjY50D7siJNgK7ADhHJAeKAddqAX7NMGxCK\nbwOfEsuaNG/Fyi2f8ac//clLUSlVfcyaNYs5c+ZUWObgwYOOTipRUVH4+fnxyiuveCjC6+fNW2F7\ngNtFJARbQrkfeKBopTHmR6BF0WcR2QFMNcbomPg1yJDoAMDW1nL8XD5t/X2ZNiDUsVyp2sYYgzHG\n0enECqGhoY5OKoWFhQQEBPDb3/7Wsvqt5rUrFmNMATAJ2Ax8BbxjjDkgIs+JSJK34lLWGxIdwMcz\n+pE9exAfz+inSUXVOjk5OYSGhvLQQw/RtWtXli9fTnh4OF27duWJJ55wlNu0aRMxMTFERkaSkJBQ\npp433niDe++9l/x8522TAKmpqfzyl7+kffv2bjkWK3j1AUljzAfAB6WWPV1O2T6eiEkppari0KFD\nLF26lHbt2hEXF0dGRgbNmjWjf//+pKSkEB8fz7hx40hLSyMkJIQzZ86U2H7evHls2bKFlJQUGjZs\nWO5+3n77bUaOHOnuw7kh+uS9UkpZoH379sTFxbF27Vr69OlDUUeiUaNGkZaWho+PD3fffbdjjLvm\nzZs7tl22bBlBQUGkpKTQoEGDcvdx5coV1q1bx/PPP+/eg7lB1bZXmFJK1SSNGjWq8rbh4eHk5ORw\n7NgxAI4ePepoqC8aZQJg48aNxMTE0Lp16xuO1500sSil1HWoaIgigO7du/PRRx+Rl5dHYWEhK1eu\npHfv3sTFxZGWlkZ2djZAiVth0dHRLFiwgKSkJI4fP05QUBCZmZlkZmaSnJzsKLdy5cpqfxsMNLEo\npZTLioYoyj2Xj+HnIYo+PPDzcEFt2rRh9uzZ9O3bl8jISLp168bgwYNp2bIlCxcuZOjQoURGRnLf\nffeVqPvOO+9kzpw5DBo0iLy8vDL7/umnn9iyZQtDhw5192HeMDHGeDsGS8XGxpr0dO2RrJSyXvzs\nbeQ6GU0iwN+Xj2f080JE1hGRDGOMJc8J6hWLUkq5qLwhispbXldpYlFKKRc5G6KoouV1lSYWpZRy\nkbMhinwb+DBtQKiXIqqe9DkWpZRykQ5R5BpNLEopdR2GRAdoIqmE3gpTSillKU0sSimlLKWJRSml\nlKU0sSillLKUJhalaphevXq5pd6BAwfi7+/Pb37zG7fUr+oOTSxK1TCffPKJW+qdNm0ay5cvd0vd\nqm7RxKJUDdO4cWMuXLhAQkICMTExhIeHs3btWgDmz5/vGG49JCSEvn37sm7dOsey0NBQx3wgpSUk\nJNCkSRNPHoqqpfQ5FqVqoJtvvpk1a9bg5+dHXl4ecXFxJCUlkZycTHJyMlevXqVfv35MmTKFxMRE\nkpJss32PGDGC3r17ezl6VdtpYlGqBjLG8OSTT5KWlka9evXIzc3l5MmT3HbbbQA8+uij9OvXj8TE\nRMc2L774Ir6+vkycONFbYas6Qm+FKVUDvfXWW5w6dYqMjAwyMzNp3bo1ly5dAmDJkiUcOXKEZ555\nxlF+69atrF692jEb4Weffea4PbZu3TqvHIOqvfSKRalqKmVvbrljUv3444+0atWKBg0asH37do4c\nOQJARkYGc+bMYefOndSrZ/vdeOTIESZOnMjmzZvx9bWNwtujRw8yMzO9c2Cq1tPEolQ1VDRTYf7V\nQuDnmQoBRIRRo0aRmJhIeHg4sbGxhIWFATBv3jzOnDlD3759AYiNjWXz5s3k5+czZMgQANq2bcsH\nH3xQZp933XUXX3/9NRcuXCAwMJBFixYxYMCAcmN84okn2LBhAwBPPfVUmRkRVd2liUWpauilzQcd\nSaVI/tVC/v7+bpo3b06LFi3YtWtXme0WL15c5X3u3LnT5bIbNmzg888/JzMzk8uXL9OnTx/uvfde\n/Pz8qrx/VXtoG4tS1ZCzGQkL/n2ava9NYurUqddVlzu6J3/55Zfcfffd1K9fn0aNGhEREcGmTZuq\ndrCq1tHEolQ15GxGwvpNbqX79OX86U9/uu76ironf/7552zfvp3HH38cYwzJyclkZmayZ88eAgMD\nmTJlCklJSWRmZpKZmUlkZKTTRBYZGcmmTZu4ePEieXl5bN++naNHj1bpWFXto7fClKqGpg0ILdHG\nAjc2U6HV3ZP79+/Pnj176NWrFy1btqRnz574+PiUKafqJr1iUaoaGhIdwPNDwwnw90WAAH9fnh8a\nXuUJptzRPXnmzJlkZmayZcsWjDF07Njxxg5a1Rp6xaJUNVWVmQqddVEG67snFxYWcu7cOW699Vb2\n7dvHvn376N+/vxWHrWoBTSxK1RLldVEuNFxX9+SgoCBOnz5dYffkq1evctdddwHg5+fHm2++Sf36\n+nWibMQY4+0YLBUbG2vS09O9HYZSHhc/exu5pXqTFeaf54dlk7l89qSXolI1hYhkGGNirahL21iU\nqiVKd1Eu+Pdpvl8+lcaxv/VSRKqu0sSi1HWaOXMmQUFBNG7cuMTytLQ0YmJiqF+/Pu+++67H4yrd\nRbl+k1sJGL+QsIQRHo9F1W2aWJS6TomJiezevbvM8nbt2rFkyRIeeOABL0Rl66Ls26Bkl98b6aKs\nVFVpYlG1Vk5ODmFhYYwaNYpOnToxbNgwLl68SGpqKtHR0YSHhzN27FguX74MQHBwMNOnTyc8PJzu\n3btz+PBhp/XGxcXRpk2bMsuDg4OJiIhw9K7yNKu7KCtVVZpYVK128OBBJkyYwFdffYWfnx9z585l\nzJgxrFq1iqysLAoKCnj99dcd5Zs2bUpWVhaTJk1i8uTJXoy8aoZEB/DxjH5kzx7ExzP6aVJRXqGJ\nRdVqQUFBxMfHA/Dggw+SmppKSEiI42G+0aNHk5aW5ig/cuRIx6uzQR6VUpXzamIRkYEiclBEDovI\nDCfrp4jIlyKyT0RSRaS9N+JUNZeIlPjs7+/vcnkRobCw0PHE+dNPP+2WGJWqbbyWWETEB3gNuBfo\nDIwUkc6liu0FYo0xEcC7wIuejVLVJCl7c4mfvY2QGRuIn72NDw98z3fffee48lixYgWxsbHk5OQ4\n2k+WL19eYg74VatWOV6Lxr8qGpDxueee8/xBKVUDefOKpTtw2BjzrTHmCvA2MLh4AWPMdmPMRfvH\nT4FAD8eoaoiip85zz+VjsD11/sKmgwQE/5LXXnuNTp06cfbsWR577DEWL17M8OHDCQ8Pp169eiQn\nJzvqOXv2LBEREfzzn//k5Zdfdrqv6dOnExgYyMWLFwkMDGTWrFkAjhGCV69ezR/+8Ae6dOnigSNX\nqvrx2pP3IjIMGGiMecT++fdAD2PMpHLKzwO+N8b8V0X16pP3dZOzp84LfjzJmTV/5eL32S7VERwc\nTHp6Oi1atHBHiEpVa1Y+eV8jBvcRkQeBWKB3OevHA+PB9iyBqnucTYwFUFB4zcORKKW8eSssFwgq\n9jnQvqwEEbkHmAkkGWMuO6vIGLPQGBNrjIlt2bKlW4JV1ZvTibGatuaOx12fqjcnJ0evVpSygDcT\nyx7gdhEJEZGbgPuBdcULiEg0sABbUvnBCzGqGkKfOleq+vDarTBjTIGITAI2Az7Av4wxB0TkOSDd\nGLMOeAloDKy2dwP9zhiT5K2YVfVV9CBg6blI9AFBpTxPh81XSimlw+YrpZSqvjSxKKWUspQmFqWU\nUpbSxKKUUspSmliUUkpZShOLUkopS2liUUopZSlNLEoppSyliUUppZSlNLEopZSylCYWpZRSltLE\nopRSylKaWJRSSllKE4tSSilLaWJRSillKU0sSimlLFVuYhERPxF5XkSWi8gDpdb9/+4PTSmlVE1U\n0RXLYkCA94D7ReQ9EWloXxfn9siUUkrVSBUlll8aY2YYY1Ls88x/DmwTkVs9FJtSSqkaqH4F6xqK\nSD1jzDUAY8zfRCQXSAMaeyQ6pZRSNU5FVyz/A/QrvsAYswR4HLjixpiUUkrVYOVesRhjppezfBNw\nu9siUkopVaNpd2OllFKW0sSilFLKUppYqrmZM2cSFBRE48Yl+0tcvnyZ++67jw4dOtCjRw9ycnK8\nE6BSSpXiUmIRkV4i8oCIPFT05+7AlE1iYiK7d+8us3zRokU0a9aMw4cP89hjj/HEE094ITqllCqr\n0sQiIsuBOcCdwB32v1g3x1Xj5OTkEBYWxqhRo+jUqRPDhg3j4sWLpKamEh0dTXh4OGPHjuXy5csA\nBAcHM336dMLDw+nevTuHDx92Wm9cXBxt2rQps3zt2rWMHj0agGHDhpGamooxxn0HqJRSLnLliiUW\niDfGTDDG/Mn+92d3B1YTHTx4kAkTJvDVV1/h5+fH3LlzGTNmDKtWrSIrK4uCggJef/11R/mmTZuS\nlZXFpEmTmDx58nXtKzc3l6CgIADq169P06ZNOX36tKXHo5RSVeFKYtkP3ObuQGqDoKAg4uPjAXjw\nwQdJTU0lJCSEjh07AjB69GjS0tIc5UeOHOl43bVrl+cDVkopN6joyfsiLYAvRWQ3cLlooX2Ylzop\nZW8uL20+yPFz+bT192XagFCimoGIlCjn7+9f4VVE8fIiQmFhId26dQMgKSmJ5557rtxtAwICOHr0\nKIGBgRQUFPDjjz9y66062o5SyvtcSSyz3B1ETZKyN5e/vJ9F/tVCAHLP5fOX97N4LM6f7777jl27\ndtGzZ09WrFhBbGwsCxYs4PDhw3To0IHly5fTu3dvR12rVq1ixowZrFq1ip49e+Lj40NmZqZLcSQl\nJbF06VJ69uzJu+++S79+/cokNqWU8oZKb4UZYz4Cvgaa2P++si+rk17afNCRVIrkXy1kQdq3hIaG\n8tprr9GpUyfOnj3LY489xuLFixk+fDjh4eHUq1eP5ORkx3Znz54lIiKCf/7zn7z88stO9zd9+nQC\nAwO5ePEigYGBzJo1C4CHH36Y06dP06FDB+bOncvs2bPddsxKKXU9pLKeRCIyAngJ2IFtGP27gGnG\nmHfdHl0VxMbGmvT0dLfVHzJjA87OWMGPJ/HfOZf9+/e7VE9wcDDp6em0aNHC2gCVUqoKRCTDGGNJ\nj19XboXNBO4wxvxg33lLYCtQLROLu7X19yX3XH6Z5a39bv65AUoppeowV3qF1StKKnanXdyuVpo2\nIBTfBj4llvk28OGp+3u7fLUCtude9GpFKVXe6BoA77zzDp07d6ZLly488MADTraunly5YtkkIpuB\nlfbP9wEfuC+k6m1IdABAmV5hRcuVUnWHMQZjDPXqVf23dmJiIpMmTeL220sOGn/o0CGef/55Pv74\nY5o1a8YPP/xQTg3VT6VtLAAi8jsg3v5xpzFmjSU7FxkI/BPwAf7bGDO71PqGwDKgG7YrpfuMMTkV\n1enuNhalVPXUq1cvPvnkE0vrzMzM5I9//CPnz5/Hx8eHmTNn0qNHDwYMGECPHj3IyMige/fuZGVl\nkZ+fz7Bhw3j22WcBWzvqiBEj2LhxI76+vqxYsYIOHTqUu6/GjRtz4cIFx+fp06fTsWNHHnnkEUuP\nqTyebmPBGPMe8J4VOywiIj7Aa8CvgGPAHhFZZ4z5slixh4GzxpgOInI/8AK2KyallCrB6qQCcMst\nt7Bs2TJuv/12jh8/Trdu3di8eTOHDh1i6dKlxMXFcebMGZo3b05hYSEJCQns27ePiIgI4OfRNZYt\nW8bkyZNZv369y/v+5ptvAIiPj6ewsJBZs2YxcOBAy4/RHcq9fhOR/7W//ltEzhf7+7eInLdg392B\nw8aYb40xV4C3gcGlygwGltrfvwskiD6soZRyougXf0JCAjExMYSHh7N27VoA5s+fT1RUFFFRUYSE\nhNC3b1/WrVvnWBYaGkpISEiZOjt27Oi4RdW2bVtatWrF6dOnad++PXFxcYCtHSQmJobo6GgOHDjA\nl1/+/Nv4RkbXKCgo4NChQ+zYsYOVK1cybtw4zp07V6Vz42kVzSB5p/21iZv2HQAcLfb5GNCjvDLG\nmAIR+RG4FchzU0xKqRrs5ptvZs2aNfj5+ZGXl0dcXBxJSUkkJyeTnJzM1atX6devH1OmTCExMZGk\nJNsAIiNGjCjx8LIzu3fv5sqVK7Rv355GjRoBkJ2dzZw5c9izZw/NmjVjzJgxXLp0ybHNjYyuERgY\nSI8ePWjQoIFjaKhDhw5xxx13VPn8eIoroxv/0t7WgYj0EZE/i4i/+0NznYiMF5F0EUk/deqUt8NR\nSnmJMYYnn3ySiIgI7rnnHnJzczl58qRj/aOPPkq/fv1ITEx0LHvxxRfx9fVl4sSJZepL2ZtL/Oxt\nBE1aTu9Bv2PMjBdKNNSfP3+eRo0a0bRpU06ePMnGjRtLbL9q1SrHa/HRNTIzMytMKgBDhgxhx44d\nAOTl5fHNN9/wi1/84rrPiTe40sbyHhArIh2AhcBaYAXw6xvcdy4QVOxzoH2ZszLHRKQ+0BRbI34J\nxpiF9tiIjY3VseMt0KdPH06cOIGvry8AH374Ia1atfJyVEpV7K233uLUqVNkZGTQoEEDgoODHVcQ\nS5Ys4ciRI8ybN89RfuvWraxevdoxOOxnn33GH/7wBwB+PeZR1pxuw08X/s0P7z6LX/yDLDl8E81a\nfO/YPjIykujoaMLCwkoMQlukaHSNhg0bsnLlSpyZPn06K1ascIyu8cgjjzBr1iwGDBjAhx9+SOfO\nnfHx8eGll17y+niAIrIO+IUxpmuFBYu6y5X3B3xuf50G/Mn+fm9l27lQb33gWyAEuAn4AuhSqsxE\nYL79/f3AO5XV261bN1PXXbt2zRQWFt5QHb179zZ79uyxKCKlrLXm82Om1/OpJviJ9abX86lmzefH\nTKNGjcwrr7xiJk2aZIwxZtu2bQYw2dnZJj093XTp0sWcOXPGUUdOTo7p2LGjyc7OdrqPXs+nmnZT\n15ib20eYZv3GmfZPrDft7ftzRfv27c2pU6du+Fg9BUg3FX9nD8V2UbG/onLGGJeuWK6KyEhgNFB0\n/djAlexWSUIrEJFJwGZs3Y3/ZYw5ICLP2Q9wHbAIWC4ih4Ez9uSinMjJyXFLF0ilqpvyBoItNDBq\n1CgSExMJDw8nNjaWsLAwAObNm8eZM2fo27cvALGxsQQFBXH69GmGDBkC2BrnP/jg50f0jp/L56ev\n/5dLRw9QmP9vLuzfCsCVXz8G9PPgEbsuJyeHgQMH0q1bNz7//HO6dOnCsmXL2LVrF1OnTqWgoIA7\n7riD119/nYYNG5b4PgA6iUgHY0yZWQdFpDEwBRgPvFNZHK4klv8AkoG/GWOyRSQEWH5dR1sOY8wH\nlHrY0hjzdLH3l4DhVuyrLrC6C+R//Md/4OPjw+9+9zv+8z//U0dPriZmzZpF48aNmTp1aoXlxo4d\ny/r162nVqlWJUSFmzZrFG2+8QcuWLQH4+9//zq9/faN3tj3H2UCwF86f5dpNjWjRooXT3leLFy92\nWtczzzxT7n7a+vuS26Uvjbv0LbE8wN/XpThzcnJcKme1gwcPsmjRIuLj4xk7dixz585lwYIFpKam\n0rFjRx566CFef/11x+SCRd8HIvID8ArwGyfV/hX4B3DRlRhcGd34S2PMn40xK+2fs40xL7h6kHXd\nrFmzmDNnTqXlxo4dS6tWrejateSty2nTphEWFkZERAS//e1vK+xuaGUXyLfeeousrCx27tzJzp07\nWb7ckt8SygljDNeuXbO83jFjxrBp0yan6x577DFHI3JNSipgu5IoruDfp/l++VQax/7W0v2UN3zT\ntAGhlu7HalWdcBDbXaGepesTkSjgl+Y6Hox3pVdYvIhsEZFvRORbEckWkW9d3UFt4+kvgV/96lfs\n37+fffv20bFjR55//nlHT5WQGRuIn72NlL22Pg+lu0Cmpqayb98+Bg0aVGkXyKL+/E8/bbtgDAiw\nDVHTpEkTHnjgAXbv3m35MddlOTk5hIaG8tBDD9G1a1eWL19OeHg4Xbt25YknnnCU27RpEzExMURG\nRpKQkFCmnjfeeIN7772X/PyyA6PefffdNG/e3K3H4Q1tS10x1G9yKwHjFxKWMMLS/QyJDuD5oeEE\n+Psi2K5Unh8aXm2Gbyrve8DZhIMVKVXeiIiPiGTa/57DlmxiRSQH+F+go4jsqKhOVwa4WQTMBe4E\n7gBi7a91hje/BPr370/9+rY7lnFxcXya9Q1/eT+L3HP5GH6+v/zhgZ97qtxoF8iCggLy8myPCl29\nepX169eXuZJSN+7QoUNMmDCBLVu28NRTT7Ft2zYyMzPZs2cPKSkpnDp1inHjxvHee+/xxRdfsHr1\n6hLbz5s3j/Xr15OSkuLoveeqefPmERERwdixYzl79qyVh+V2nrySGBIdwMcz+pE9exAfz+hXrZJK\ned8DRRMOAo4JB3Nycjh82NZ04mzCQbtmwC5jTKExJsr+97Qx5nVjTFtjTDC2PPCNMaZPRfG50sby\nozFmY+XFarei9ot27doRFxdHRkYGzZo1o3///qSkpBAfH8+4ceNIS0sjJCSEM2fOlNh+3rx5bNmy\nhZSUFBo2bFilGP71r39xoklXrpQz0ViRG+0CefnyZQYMGMDVq1cpLCzknnvuYdy4cVWKWZWv6Nbl\n2rVr6dOnj6PNY9SoUaSlpeHj48Pdd9/teCK8+A+PZcuWERQUREpKCg0aXF9fmj/+8Y889dRTiAhP\nPfUUjz/+OP/617+sOzA304FgXZtwcOzYsXTu3JlXX32VuLg4hg8f7mi8dzbhINAa6G9FfK4klu0i\n8hLwPiXnvP/cigBqCm99CRT529/+Rv369bkSHO90/RlpSnaxBtolS5aUW9e0adN44YXym8kaNWpE\nRkZGleJUriu6dVkV4eHhZGZmcuzYMUJCQjh69Kjjob+ip8zL07p1a8f7cePG8ZvfOGurrd6GRAfU\nqURSWul2piInz1/Cv3593nzzzRLLExIS2Lt3r9Ntir4PROQrZz3CijO2QYArvX3hyq2wHthuf/0d\nW6+AfwCVt0bXMjf6JZCTk8OxY8cAOHr0qKNNY/78+ZVuv2TJEtavX89bb71FQLNbnJYpfd9ZVR/l\n3Qsv0r17dz766CPy8vIoLCxk5cqV9O7dm7i4ONLS0sjOzgYocRUcHR3NggULSEpK4vjx4wQFBTlu\nZ1aUVABOnDjheL9mzRq9zVkDlff/e2u/mz0ciXOu9Arr6+SvenbitkjpL4Li7Ree/hLYtGkTL774\nIuvWreOWW2654fvLOsGYZ1V0L7xImzZtmD17Nn379iUyMpJu3boxePBgWrZsycKFCxk6dCiRkZHc\nd1/Jgb3vvPNO5syZw6BBgxxtYsWNHDmSnj17cvDgQQIDA1m0aBFge9I7PDyciIgItm/fzssvv+zW\nc6CsV90nHHRlzvvW2K5W2hpj7hWRzkBPY8wiy6OxwI3Ox1L64SsAn5/yuLrxeb47/DUAK1eu5O9/\n/zvGGAYNGuS4rbRx40aefPJJrl27RqtWrdiyZUuJZw42b97MjBkz2LJlS5n/mCNHjmTHjh3k5eXR\nunVrnn32WR5++GE6dOjA5cuXHUM5xMXFMfAPT9Xp+8s1SfzsbU6nsg7w9+XjGbX695lys5S9uZZ+\nD1g5H4sVzbCrAAAVW0lEQVQriWUjsBiYaYyJtI/ZtdcYE25FAFa70cSiXwTKSiEzNuDs/zABsmcP\n8nQ4SpXLysTiShtLC2PMO8A1sA3FAhRWvEnNVV6jWHnLlapIeffCtU1M1WauJJafRORWsP3wEpE4\n4Ee3RuVF+kWgrFRTn95W6ka4klimAOuAX4rIx9jmoP+TW6PyIv0iUFaq7k9vK+UOlT7HYoz5XER6\nA6HYbg0fNMZcdXtkXqIPXymr1fVnLlTdU2liEREfbJN6BdvL9xcRjDFz3Ryb1+gXgVJKVZ0rT97/\nD3AJyMLegK+UUkqVx5XEEmiMiXB7JEoppWoFVxrvN4qIJQOTKaWUqv1cuWL5FFgjIvWAq9ga8I0x\nxs+tkSmllKqRXEksc7FN9JJlKntMXymlVJ3nyq2wo8B+TSpKKaVc4coVy7fADvuYYcXnY6m13Y2V\nUkpVnSuJJdv+d5P9TymllCqXK0/eP+uJQJRSStUO5SYWEXnFGDNZRP4Hyo78bYxJcmtkSimlaqSK\nrliW21/r3DTESimlqq7cxGKMybC/fiQiLe3vT3kqMKWUUjVThd2NRWSWiOQBB4FvROSUiDztmdCU\nUkrVROUmFhGZAsQDdxhjmhtjmgE9gHgRecxTASpVG82aNYs5cyq/y/zyyy/TpUsXunbtysiRI7l0\n6ZIHolPqxlR0xfJ7YKQxJrtogTHmW+BB4CF3B6ZUTWKM4do1awf/zs3N5dVXXyU9PZ39+/dTWFjI\n22+/bek+lHKHihJLA2NMXumF9naWBu4LSamaIScnh9DQUB566CG6du3K8uXLCQ8Pp2vXrjzxxBOO\ncps2bSImJobIyEgSEhLK1PPGG29w7733kp+fX2ZdQUEB+fn5FBQUcPHiRdq2bevWY1LKChX1CrtS\nxXVK1RmHDh1i6dKltGvXjri4ODIyMmjWrBn9+/cnJSWF+Ph4xo0bR1paGiEhIZw5c6bE9vPmzWPL\nli2kpKTQsGHDEusCAgKYOnUq7dq1w9fXl/79+9O/vw40rqq/iq5YIkXkvJO/fwPhngpQqeqsffv2\nxMXFsWfPHvr06UPLli2pX78+o0aNIi0tjU8//ZS7776bkJAQAJo3b+7YdtmyZWzcuJF33323TFIB\nOHv2LGvXriU7O5vjx4/z008/8eabb3rs2JSqqnITizHGxxjj5+SviTFGb4UpBTRq1KjK24aHh5OT\nk8OxY8cAOHr0KFFRUURFRTF//ny2bt1KSEgILVu2pEGDBgwdOpRPPvnEqtCVchtXRjdWqs5L2ZtL\n/OxthMzYQPzsbaTszS2xvnv37nz00Ufk5eVRWFjIypUr6d27N3FxcaSlpZGdbesDU/xWWHR0NAsW\nLCApKYnjx48TFBREZmYmmZmZJCcn065dOz799FMuXryIMYbU1FQ6derk0eNWqipcGYRSqTotZW8u\nf3k/i/yrhQDknsvnL+9n8Vicv6NMmzZtmD17Nn379sUYw6BBgxg8eDAACxcuZOjQoVy7do1WrVqx\nZcsWx3Z33nknc+bMYdCgQWzZsoUWLVo41vXo0YNhw4YRExND/fr1iY6OZvz48R46aqWqTmrbNCux\nsbEmPT3d22GoWiR+9jZyz5XtsRXg78vHM/p5ISKlrCciGcaYWCvq8sqtMBFpLiJbROSQ/bWZkzJR\nIrJLRA6IyD4Ruc8bsSp13ElSqWi5UnWdt9pYZgCpxpjbgVT759IuAg8ZY7oAA4FXRMTfSTml3Kqt\nv+91LVeqrvNWYhkMLLW/XwoMKV3AGPONMeaQ/f1x4AegpcciVMpu2oBQfBv4lFjm28CHaQNCvRSR\nUtWbtxrvWxtjTtjffw+0rqiwiHTHNnvl/7k7MKVKGxIdAMBLmw9y/Fw+bf19mTYg1LFcKVWS2xKL\niGwFbnOyambxD8YYIyLl9iAQkTbY5oYZbYxxOhiTiIwHxgO0a9euyjErVZ4h0QGaSJRykdsSizHm\nnvLWichJEWljjDlhTxw/lFPOD9gAzDTGfFrBvhYCC8HWK+zGIldKKXUjvNXGsg4YbX8/GlhbuoCI\n3ASsAZYZY971YGxKqXJcuXKF8ePH07FjR8LCwnjvvfe8HZKqhrzVxjIbeEdEHgaOACMARCQWSDbG\nPGJfdjdwq4iMsW83xhiT6YV4larxjDEYY6hXr+q/J//2t7/RqlUrvvnmG65du1ZmUE2lQB+QVKpW\ny8nJYcCAAfTo0YOMjAy6d+9OVlYW+fn5DBs2jGeffRaA4OBgRowYwcaNG/H19WXFihV06NChTH1B\nQUF8/fXXNzRGmqqeavwDkkopzzl06BATJkzgwIED/OMf/yA9PZ19+/bx0UcfsW/fPke5pk2bkpWV\nxaRJk5g8eXKZes6dOwfAU089RUxMDMOHD+fkyZMeOw5Vc2hiUaqWKxraH+Cdd94hJiaG6OhoDhw4\nwJdffukoN3LkSMfrrl27ytRTUFDAsWPH6NWrF59//jk9e/Zk6tSpnjkIVaPoIJRK1RIpe3PLPGsT\n1eznof2zs7OZM2cOe/bsoVmzZowZM4ZLly45theREu8LCwvp1q0bAElJSTz77LPccsstDB06FIDh\nw4ezaNEiDx6hqin0ikWpWqBoBObcc/kYfh6B+cMD3zvKnD9/nkaNGtG0aVNOnjzJxo0bS9SxatUq\nx2vPnj3x8fFxDOP/3HPPISIkJiayY8cOAFJTU+ncubOnDlHVIHrFolQt8NLmg45h/YvkXy1kQdq3\njs+RkZFER0cTFhZGUFAQ8fHxJcqfPXuWiIgIGjZsyMqVK53u54UXXuD3v/89kydPpmXLlixevNj6\ng1E1nvYKU6oWCJmxAWf/JwuQPXtQpdsHBweTnp5eYj4YVbdorzClVAk6ArOqTjSxKFUL3OgIzDk5\nOXq1oiyjbSxK1QI6ArOqTjSxKFVL6AjMqrrQW2FKKaUspYlFKaWUpTSxKKWUspQmFqWUUpbSxKKU\nUspSmliUUkpZShOLUkopS2liUUopZSlNLEoppSyliUUppZSlNLEopZSylCYWpZRSltLEopRSylKa\nWJRSSllKE4tSSilLaWJRSillKU0sSimlLKWJRSmLDBw4kMjISLp06UJycjKFhYXeDkkpr9DEopRF\n3nnnHb744gv279/PqVOnWL16tbdDUsorNLGoOicnJ4ewsDBGjRpFp06dGDZsGBcvXiQ1NZXo6GjC\nw8MZO3Ysly9fBiA4OJjp06cTHh5O9+7dOXz4sNN6/fz8ACgoKODKlSuIiMeOSanqRBOLqpMOHjzI\nhAkT+Oqrr/Dz82Pu3LmMGTOGVatWkZWVRUFBAa+//rqjfNOmTcnKymLSpElMnjy53HoHDBhAq1at\naNKkCcOGDfPEoShV7WhiUXVSUFAQ8fHxADz44IOkpqYSEhJCx44dARg9ejRpaWmO8iNHjnS87tq1\nq9x6N2/ezIkTJ7h8+TLbtm1z4xEoVX1pYlF1UunbVP7+/i6XFxEKCwuJiooiKiqKp59+ukTZm2++\nmcGDB7N27VrrAlaqBtHEomq1lL25xM/eRsiMDcTP3kbK3lwAvvvuO8eVx4oVK4iNjSUnJ8fRfrJ8\n+XJ69+7tqGfVqlWO1549e+Lj40NmZiaZmZk899xzXLhwgRMnTgC2NpYNGzYQFhbmyUNVqtqo7+0A\nlHKXlL25/OX9LPKv2rr95p7L5y/vZ/FYnD+hoaG89tprjB07ls6dO/Pqq68SFxfH8OHDKSgo4I47\n7iA5OdlR19mzZ4mIiKBhw4asXLmyzL5++uknkpKSuHz5MteuXaNv374ltleqLhFjjLdjsFRsbKxJ\nT0/3dhiqGoifvY3cc/lllt9qfuTyhr+zf/9+l+oJDg4mPT2dFi1aWB2iUtWGiGQYY2KtqMsrt8JE\npLmIbBGRQ/bXZhWU9RORYyIyz5MxqprvuJOkAnDy/CUPR6JU3eKtNpYZQKox5nYg1f65PH8F0ipY\nr5RTbf19nS5v3z7Y5asVsD33olcrSrnOW4llMLDU/n4pMMRZIRHpBrQGPvRQXKoWmTYgFN8GPiWW\n+TbwYdqAUC9FpFTd4K3G+9bGmBP2999jSx4liEg94B/Ag8A9HoxN1RJDogMAeGnzQY6fy6etvy/T\nBoQ6liul3MNtiUVEtgK3OVk1s/gHY4wREWc9CCYAHxhjjlU2NIaIjAfGA7Rr165qAataaUh0gCYS\npTzMbYnFGFPuVYaInBSRNsaYEyLSBvjBSbGewF0iMgFoDNwkIheMMWXaY4wxC4GFYOsVZs0RKKWU\nqgpvtbGsA0bb348GyjyibIwZZYxpZ4wJBqYCy5wlFaVUzTJz5kyCgoJo3LhxieXz588nPDycqKgo\n7rzzTr788ksvRahulLcSy2zgVyJyCFv7yWwAEYkVkf/2UkxKqUoYY7h27doN1ZGYmMju3bvLLH/g\ngQfIysoiMzOT6dOnM2XKlBvaj/IerzTeG2NOAwlOlqcDjzhZvgRY4vbAlFJl5OTkMGDAAHr06EFG\nRgbdu3cnKyuL/Px8hg0bxrPPPgvYHiQdMWIEGzduxNfXlxUrVtChQ4cy9cXFxTndT9G0A2AbyUCn\nHai5dEgXpVSlDh06xNKlS4mLi+PMmTM0b96cwsJCEhIS2LdvHxEREcDP0wssW7aMyZMns379+uva\nz2uvvcbcuXO5cuWKjg5dg+kglEqpSrVv395xpfHOO+8QExNDdHQ0Bw4cKNEW4ur0AuWZOHEi//d/\n/8cLL7zAf/3Xf1kTvPI4TSxKqUo1atQIgOzsbObMmUNqair79u1j0KBBXLr08xA51zO9QEXuv/9+\nUlJSrDsA5VF6K0wp5ZCyN7fMA6VRxUbyO3/+PI0aNaJp06acPHmSjRs30qdPH8f6VatWMWPGjDLT\nC7ji0KFD3H777QBs2LDB8V7VPJpYlFJAxdMMFImMjCQ6OpqwsLASs3AWqWx6AYDp06ezYsUKLl68\nSGBgII888gizZs1i3rx5bN26lQYNGtCsWTOWLl3qdHtV/emw+UopoPxpBgL8ffl4Rr9Kt9fpBWq2\nGj9svlKq+ilvmoHylitVHr0VppQCbNMMOLtiKW/6gdJycnIsjkjVVHrFopQCdJoBZR29YlFKATrN\ngLKOJhallINOM6CsoLfClFJKWUoTi1JKKUtpYlFKKWUpTSxKKaUspYlFKaWUpTSxKKWUspQmFqWU\nUpbSxKKUUspStW50YxE5BRzx4C5bAHke3F9NoufGOT0vzul5cc5T56W9MaalFRXVusTiaSKSbtVQ\n07WNnhvn9Lw4p+fFuZp4XvRWmFJKKUtpYlFKKWUpTSw3bqG3A6jG9Nw4p+fFOT0vztW486JtLEop\npSylVyxKKaUspYnlOolIcxHZIiKH7K/NKijrJyLHRGSeJ2P0BlfOi4hEicguETkgIvtE5D5vxOoJ\nIjJQRA6KyGERmeFkfUMRWWVf/5mIBHs+Ss9z4bxMEZEv7f8+UkWkvTfi9IbKzk2xcr8TESMi1ban\nmCaW6zcDSDXG3A6k2j+X569Amkei8j5XzstF4CFjTBdgIPCKiPh7MEaPEBEf4DXgXqAzMFJEOpcq\n9jBw1hjTAXgZeMGzUXqei+dlLxBrjIkA3gVe9GyU3uHiuUFEmgCPAp95NsLro4nl+g0GltrfLwWG\nOCskIt2A1sCHHorL2yo9L8aYb4wxh+zvjwM/AJY8kFXNdAcOG2O+NcZcAd7Gdn6KK36+3gUSREQ8\nGKM3VHpejDHbjTEX7R8/BQI9HKO3uPJvBmw/Vl8ALnkyuOulieX6tTbGnLC//x5b8ihBROoB/wCm\nejIwL6v0vBQnIt2Bm4D/c3dgXhAAHC32+Zh9mdMyxpgC4EfgVo9E5z2unJfiHgY2ujWi6qPScyMi\nMUCQMWaDJwOrCp3z3gkR2Qrc5mTVzOIfjDFGRJx1q5sAfGCMOVabfoRacF6K6mkDLAdGG2OuWRul\nqg1E5EEgFujt7ViqA/uP1bnAGC+H4hJNLE4YY+4pb52InBSRNsaYE/YvyB+cFOsJ3CUiE4DGwE0i\ncsEYU1F7TLVnwXlBRPyADcBMY8ynbgrV23KBoGKfA+3LnJU5JiL1gabAac+E5zWunBdE5B5sP1Z6\nG2Mueyg2b6vs3DQBugI77D9WbwPWiUiSMSbdY1G6SG+FXb91wGj7+9HA2tIFjDGjjDHtjDHB2G6H\nLavpScUFlZ4XEbkJWIPtfLzrwdg8bQ9wu4iE2I/5fmznp7ji52sYsM3U/ofKKj0vIhINLACSjDFO\nf5zUUhWeG2PMj8aYFsaYYPv3yqfYzlG1SyqgiaUqZgO/EpFDwD32z4hIrIj8t1cj8y5XzssI4G5g\njIhk2v+ivBOu+9jbTCYBm4GvgHeMMQdE5DkRSbIXWwTcKiKHgSlU3LuwVnDxvLyE7Sp/tf3fR+mE\nXCu5eG5qDH3yXimllKX0ikUppZSlNLEopZSylCYWpZRSltLEopRSylKaWJRSSllKE4uqc0Sk0N6V\n9YCIfCEij9ufbC7qHv2ql+L6xKJ6htuP7Vp1HgFX1V7a3VjVOfZREBrb37cCVgAfG2Oe8W5k1hCR\nTsA1bA8aTq2uD9Gp2kuvWFSdZn+6ezwwSWz6iMh6ABGZJSJLRWSniBwRkaEi8qKIZInIJhFpYC/X\nTUQ+EpEMEdlsH9IGEdkhIi+IyG4R+UZE7rIv72Jflmmfd+R2+/IL9lcRkZdEZL99X/fZl/ex1/mu\niHwtIm85GxHZGPOVMeagJ86fUs5oYlF1njHmW8AHaOVk9S+BfkAS8Caw3RgTDuQDg+zJ5f8Dhhlj\nugH/Av5WbPv6xpjuwGSg6IooGfinMSYK20CLx0rtcygQBURiG8XgpaJkBUTb6+oM/AKIr+pxK+Uu\nOgilUhXbaIy5KiJZ2JLPJvvyLCAYCMU2OOAW+8WDD3Ci2Pbv218z7OUBdgEzRSQQeL9ojppi7gRW\nGmMKgZMi8hFwB3Ae2G2MOQYgIpn2Ov/XkiNVyiJ6xaLqPBH5BVCI8xGZLwPYh/e/WmygyGvYfpgJ\ncMAYE2X/CzfG9C+9vb3++va6VmC7AsoHPhCRftcRbvHRfh11KlWdaGJRdZqItATmA/OqOLrwQaCl\niPS019dARLpUss9fAN8aY17FNgp0RKkiO4H7RMTHHt/dwO4qxKaUV2hiUXWRb1F3Y2Artumjn61K\nRfZpZIcBL4jIF0Am0KuSzUYA++23sroCy0qtXwPsA74AtgHTjTHfuxqTiPxWRI5hmxdog4hsdnVb\npayg3Y2VUkpZSq9YlFJKWUoTi1JKKUtpYlFKKWUpTSxKKaUspYlFKaWUpTSxKKWUspQmFqWUUpbS\nxKKUUspS/w9eI4Jz+eLExAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bc1ce48>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEKCAYAAAAxXHOuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKUtpYlFKKWUpTSxKKaUspYlFKaWUpf4/iIPl4CkWMjIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b64c1d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEKCAYAAAAxXHOuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhJEl0iO1AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ab480f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZ0AAAEKCAYAAADJvIhZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nfRMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b6bd048>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZ0AAAEKCAYAAADJvIhZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSillGU06SimlLKNJRymllGX+P/8YwqwGSJa8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b59e978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAEKCAYAAADAVygjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSjIiIuIZJRkREfGMkoyIiHjm/wOON2JSroqM0gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a8634e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ndim = 4 \n",
"\n",
"mymds = MDS(dissimilarity='precomputed',n_components=ndim,random_state=42)\n",
"\n",
"mymds.fit(dissmat)\n",
"\n",
"\n",
"dim1 = 0\n",
"dim2 = 1\n",
"\n",
"aa,bb = np.triu_indices(ndim,k=1)\n",
"\n",
"for dim1,dim2 in zip(aa,bb):\n",
" fig, ax = plt.subplots()\n",
" z = mymds.embedding_[:,dim1]\n",
" y = mymds.embedding_[:,dim2]\n",
"\n",
" ax.scatter(z,y)\n",
"\n",
" plt.xlabel('Dimension %d' % (dim1+1))\n",
" \n",
" plt.ylabel('Dimension %d' % (dim2+1))\n",
"\n",
" for i, txt in enumerate(stim_id):\n",
" ax.annotate(txt, (z[i]+0.005,y[i]+0.005))\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I'll let you interpret things from here.... \n",
"\n",
"Below I just do it again but for your \"full model\" "
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"triad_scores = datframe['dissimilarity score full model ']\n",
"\n",
"dissmat_fullmodel = np.zeros((16,16))\n",
"\n",
"dissmat_fullmodel[triu_ind] = triad_scores\n",
"dissmat_fullmodel = dissmat_fullmodel + dissmat_fullmodel.T\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's look at Stress values "
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10a746898>"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD8CAYAAABn919SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a9deef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"allstress = []\n",
"\n",
"\n",
"for ndim in range(1,20):\n",
"\n",
" mymds = MDS(dissimilarity='precomputed',n_components=ndim)\n",
"\n",
" mymds.fit(dissmat_fullmodel)\n",
" \n",
" allstress.append(mymds.stress_)\n",
"\n",
" \n",
"plt.scatter(range(1,20),allstress)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Same story than above, take 4 dimensions"
]
},
{
"cell_type": "code",
"execution_count": 129,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEKCAYAAAAxXHOuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nXQRjlKyWAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bad7898>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEKCAYAAAAxXHOuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ad30780>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEKCAYAAAAxXHOuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a97c8d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZ8AAAEKCAYAAADNSVhkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a86c5c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZ8AAAEKCAYAAADNSVhkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nko8xxhjHWfIxxhjjOEs+xhhjHPf/Ae1f6+izvxGXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109e887f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAEKCAYAAADAVygjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nY4xjLMkYY4xxjCUZY4wxjvn/RWry371aeXAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b4eec88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ndim = 4 \n",
"\n",
"mymds = MDS(dissimilarity='precomputed',n_components=ndim,random_state=42)\n",
"\n",
"mymds.fit(dissmat_fullmodel)\n",
"\n",
"\n",
"dim1 = 0\n",
"dim2 = 1\n",
"\n",
"aa,bb = np.triu_indices(ndim,k=1)\n",
"\n",
"for dim1,dim2 in zip(aa,bb):\n",
" fig, ax = plt.subplots()\n",
" z = mymds.embedding_[:,dim1]\n",
" y = mymds.embedding_[:,dim2]\n",
"\n",
" ax.scatter(z,y)\n",
"\n",
" plt.xlabel('Dimension %d' % (dim1+1))\n",
" \n",
" plt.ylabel('Dimension %d' % (dim2+1))\n",
"\n",
" for i, txt in enumerate(stim_id):\n",
" ax.annotate(txt, (z[i]+0.005,y[i]+0.005))\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It seems that some dimensions may be relevant to \"cluster\" the genre, look at dimensions 1 and 2... \n",
"\n",
"\n",
"Good luck ! "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@hgirv001
Copy link

Hey just started today.

Reference to [in] 90: I wrote the following;
filepath = '/Users/nicolasfarrugia/Desktop/hannah/fnal-triad pairwise similarity (2).xlsx'
datframe = pd.read_excel(filepath,sheetname="triad full model dissimilarity")

It says
(bunnies) C:\Users\hanna>filepath = '/ThisPC/Desktop/finalproject/thesiswriting/results/dissimilaritydata
'filepath' is not recognized as an internal or external command,
operable program or batch file.

Do I need to first define filepath somehow?

@hgirv001
Copy link

(I know my filepath is missing the .xlsx' but first I should fix the issue of it not recognising filepath as a command)

@nicofarr
Copy link
Author

nicofarr commented Aug 18, 2017

you need to write :

filepath = '/ThisPC/Desktop/finalproject/thesiswriting/results/dissimilaritydata.xls'
note that once you started to open a quote after the "=" sign, you can use the TAB key to autocomplement your path. For example, just type C inside the quote and you will be able to scroll through the list of directories, etc...

From the way you say it, I am having a little doubt : are you running this inside a jupyter notebook ? Did you run "jupyter notebook" command, and see the interface in your web browser, where you can create a new notebook, etc...

@nicofarr
Copy link
Author

nicofarr commented Aug 18, 2017

go here and jump directly to the section "Getting Started with Jupyter Notebook"...

Run the following command to open up the application:

jupyter notebook

Then you'll see the application opening in the web browser on the following address: http://localhost:8888. (it should open automatically on Firefox / Chorme or whatever browser you are using .

@hgirv001
Copy link

Hey so I now am running in a jupyter notebook and have completed the introduction to jupyter notebook instructions from the website you sent (thanks for that it was quite fun)
I tried following the first instruction from this recipe but have an error!
I should stop asking you so many questions so was thinking maybe I should leave this for a while and try again next week as it keeps having so many errors. What do you think?

image

ValueError Traceback (most recent call last)
in ()
1 import matplotlib.pyplot as plt
2 import numpy as np
----> 3 import pandas as pd
4 from sklearn.manifold import MDS
5

c:\users\hanna\miniconda3\envs\bunnies\lib\site-packages\pandas_init_.py in ()
24
25 try:
---> 26 from pandas._libs import (hashtable as _hashtable,
27 lib as _lib,
28 tslib as _tslib)

c:\users\hanna\miniconda3\envs\bunnies\lib\site-packages\pandas_libs_init_.py in ()
1 # flake8: noqa
2
----> 3 from .tslib import iNaT, NaT, Timestamp, Timedelta, OutOfBoundsDatetime
4
5 # TODO

pandas_libs\src\numpy.pxd in init pandas._libs.tslib (pandas_libs\tslib.c:117317)()

ValueError: numpy.dtype has the wrong size, try recompiling. Expected 88, got 96

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment