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@jamesmcm
Created August 5, 2014 12:19
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a=[]\n",
"\n",
"for i in range(1000):\n",
" a.append((np.random.rand(2)*2).astype(int))\n",
" \n",
"a=np.vstack(a)\n",
"#print a\n",
"print a.shape\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(1000, 2)\n"
]
}
],
"prompt_number": 76
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"e=(np.random.rand(20)*2).astype(int)\n",
"print e"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1]\n"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def phen(i):\n",
" global a\n",
" global e\n",
" if a[i][0]>=1 and e[i]==1:\n",
" return 1\n",
" else:\n",
" return 0\n",
" \n",
"def phens(i):\n",
" global a\n",
" return a[i][0]&a[i][1]\n",
"\n",
"y=[]\n",
"for i in range(a.shape[0]):\n",
" y.append(phens(i))\n",
" \n",
"y=np.array(y)\n",
"#print y"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 77
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#a[:,0]\n",
"for i in range(y.size):\n",
" if np.random.rand()<0.05:\n",
" y[i]=-1*(y[i]-1)\n",
" \n",
"#print y"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 78
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print a[:,1]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 0 0]\n"
]
}
],
"prompt_number": 72
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from pymc import rbeta\n",
"\n",
"rand = np.random.rand\n",
"\n",
"class Bandits(object):\n",
" \"\"\"\n",
" This class represents N bandits machines.\n",
"\n",
" parameters:\n",
" p_array: a (n,) Numpy array of probabilities >0, <1.\n",
"\n",
" methods:\n",
" pull( i ): return the results, 0 or 1, of pulling \n",
" the ith bandit.\n",
" \"\"\"\n",
" def __init__(self, p_array):\n",
" #self.p = p_array\n",
" #self.optimal = np.argmax(p_array)\n",
" #Create array of functions which are hypotheses\n",
" def h0(b,o):\n",
" return o==b[0]\n",
" def h1(b,o):\n",
" return o==b[1]\n",
" def h2(b,o):\n",
" return o==b[0]|b[1]\n",
" def h3(b,o):\n",
" return o==b[0]&b[1]\n",
" self.p=[h0,h1,h2,h3]\n",
" \n",
" def pull( self, i ):\n",
" global a\n",
" global y\n",
" #i is which arm to pull\n",
" index=int(np.random.rand()*a.shape[0])\n",
" return self.p[i](a[index], y[index])\n",
" \n",
" def __len__(self):\n",
" return len(self.p)\n",
"\n",
" \n",
"class BayesianStrategy( object ):\n",
" \"\"\"\n",
" Implements a online, learning strategy to solve\n",
" the Multi-Armed Bandit problem.\n",
" \n",
" parameters:\n",
" bandits: a Bandit class with .pull method\n",
" \n",
" methods:\n",
" sample_bandits(n): sample and train on n pulls.\n",
"\n",
" attributes:\n",
" N: the cumulative number of samples\n",
" choices: the historical choices as a (N,) array\n",
" bb_score: the historical score as a (N,) array\n",
" \"\"\"\n",
" \n",
" def __init__(self, bandits):\n",
" \n",
" self.bandits = bandits\n",
" n_bandits = len( self.bandits )\n",
" self.wins = np.zeros( n_bandits )\n",
" self.trials = np.zeros(n_bandits )\n",
" self.N = 0\n",
" self.choices = []\n",
" self.bb_score = []\n",
"\n",
" \n",
" def sample_bandits( self, n=1 ):\n",
" \n",
" bb_score = np.zeros( n )\n",
" choices = np.zeros( n )\n",
" \n",
" for k in range(n):\n",
" #sample from the bandits's priors, and select the largest sample\n",
" choice = np.argmax( rbeta( 1 + self.wins, 1 + self.trials - self.wins) )\n",
" \n",
" #sample the chosen bandit\n",
" result = self.bandits.pull( choice )\n",
" \n",
" #update priors and score\n",
" self.wins[ choice ] += result\n",
" self.trials[ choice ] += 1\n",
" bb_score[ k ] = result \n",
" self.N += 1\n",
" choices[ k ] = choice\n",
" \n",
" self.bb_score = np.r_[ self.bb_score, bb_score ]\n",
" self.choices = np.r_[ self.choices, choices ]\n",
" return "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 79
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import scipy.stats as stats\n",
"figsize( 11.0, 10)\n",
"\n",
"beta = stats.beta\n",
"x = np.linspace(0.001,.999,200)\n",
"\n",
"def plot_priors(bayesian_strategy, prob, lw = 3, alpha = 0.2, plt_vlines = False):\n",
" ## plotting function\n",
" wins = bayesian_strategy.wins\n",
" trials = bayesian_strategy.trials\n",
" h=[]\n",
" for i in range( 4 ):\n",
" y = beta( 1+wins[i], 1 + trials[i] - wins[i] )\n",
" p = plt.plot( x, y.pdf(x), lw = lw )\n",
" z,=p\n",
" h.append(z)\n",
" c = p[0].get_markeredgecolor()\n",
" plt.fill_between(x,y.pdf(x),0, color = c, alpha = alpha, label=\"test\")\n",
" if plt_vlines:\n",
" plt.vlines( prob[i], 0, y.pdf(prob[i]) ,\n",
" colors = c, linestyles = \"--\", lw = 2 )\n",
" plt.autoscale(tight = \"True\")\n",
" plt.title(\"Posteriors After %d pull\"%bayesian_strategy.N +\\\n",
" \"s\"*(bayesian_strategy.N>1) )\n",
" plt.autoscale(tight=True)\n",
" legend(h, range(4))\n",
" return"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 80
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#hidden_prob = np.array([0.85, 0.60, 0.75] )\n",
"bandits = Bandits( 0 )\n",
"bayesian_strat = BayesianStrategy( bandits )\n",
"\n",
"draw_samples = [1, 1, 3, 10, 10, 25, 50, 100, 200, 600 ]\n",
"\n",
"for j,i in enumerate(draw_samples):\n",
" subplot( 5, 2, j+1) \n",
" bayesian_strat.sample_bandits(i)\n",
" plot_priors( bayesian_strat, hidden_prob )\n",
" #plt.legend()\n",
" plt.autoscale( tight = True )\n",
"plt.tight_layout()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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QPpchyT/JpsPcrMmWd2EytS4AtI0rmQdGRnR7i587xz0rYYi7u/7e4r6UYE+s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\n3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OKz315n7cEPrJ/xdw/iqcveJ3bAhA6/rtZIBaKbKjEVklx9gMSqvSRW7eVE7dFWy/s5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\nqFgdAQ7JZQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4181650>"
]
}
],
"prompt_number": 82
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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