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Scipy shifted lognormal vs. PyMC3 lognormal
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import scipy.stats as st\n",
"import pymc3 as mc"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"true_mu = np.e\n",
"true_sigma = np.pi/np.e"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(2.718281828459045, 1.1557273497909217)\n"
]
}
],
"source": [
"print(true_mu,true_sigma)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = np.random.lognormal(true_mu,true_sigma,size=10000)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"shape,loc,scale = st.lognorm.fit(data)\n",
"shape0,loc0,scale0 = st.lognorm.fit(data,floc=0)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Scipy fit with free loc parameter:\n",
"\tmu:\t\t\t2.6946\n",
"\tsigma:\t\t\t1.1725\n",
"\tloc:\t\t\t0.0545\n",
"\t|true_mu-mu|:\t\t0.0237\n",
"\t|true_sigma-sigma|:\t0.0167\n",
"Scipy fit with floc=0:\n",
"\tmu:\t\t\t2.7018\n",
"\tsigma:\t\t\t1.1641\n",
"\tloc:\t\t\t0.0000\n",
"\t|true_mu-mu|:\t\t0.0164\n",
"\t|true_sigma-sigma|:\t0.0084\n"
]
}
],
"source": [
"print('Scipy fit with free loc parameter:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.log(scale))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%shape)\n",
"print('\\tloc:\\t\\t\\t%0.4f'%loc)\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.log(scale)-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(shape-true_sigma))\n",
"\n",
"print('Scipy fit with floc=0:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.log(scale0))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%shape0)\n",
"print('\\tloc:\\t\\t\\t%0.4f'%loc0)\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.log(scale0)-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(shape0-true_sigma))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with mc.Model() as m:\n",
" mu = mc.Normal('mu',np.mean(np.log(data)),1)\n",
" tau = mc.Gamma('tau',1,1)\n",
" \n",
" obs = mc.Lognormal('obs',mu=mu,tau=tau,observed=data)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with m:\n",
" MAP = mc.find_MAP()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PyMC3 MAP:\n",
"\tmu:\t\t\t2.7018\n",
"\tsigma:\t\t\t1.1641\n",
"\t|true_mu-mu|:\t\t0.0164\n",
"\t|true_sigma-sigma|:\t0.0084\n"
]
}
],
"source": [
"print('PyMC3 MAP:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%MAP['mu'])\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%(1./np.sqrt(np.exp(MAP['tau_log']))))\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(MAP['mu']-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs((1./np.sqrt(np.exp(MAP['tau_log'])))-true_sigma))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 2.4 sec"
]
}
],
"source": [
"with m:\n",
" step = mc.NUTS(scaling=MAP)\n",
" trace = mc.sample(1000,step=step,start=MAP)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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7/j34oP/17tvX7k0phJGl3zfmtkGeLDUuS5Z4+zXDhPX9NTXJ/aCWrVsnRqlC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\ngd/+J06UYg/t2nl5Q8oj4Vc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5jm60hH0na2u9nPvKSn8DUPW0MjHvMxMln54nGZTPVgii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\nYV4a73m//y11mQpc3tD9y/kXs8xHY+IM6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iOB+aq6UFW3Aw8DZ2XY/mLv+HZw4mNU9c8A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X1URXxfCzbTPI7bqrWbZurazj2wid5jRkRc5aUmvlrlFI6y7oxj41N5u5kxqJchQsSB83FKYa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\n8v8BVssp20Ip9RAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f83f58b3dd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mc.traceplot(trace);"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PyMC3 Posterior Sample Median:\n",
"\tmu:\t\t\t2.7026\n",
"\tsigma:\t\t\t1.1638\n",
"\t|true_mu-mu|:\t\t0.0157\n",
"\t|true_sigma-sigma|:\t0.0080\n"
]
}
],
"source": [
"print('PyMC3 Posterior Sample Median:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.median(trace['mu']))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%np.median(1./np.sqrt(trace['tau'])))\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.median(trace['mu'])-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(np.median(1./np.sqrt(trace['tau']))-true_sigma))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data_shifted = np.random.lognormal(true_mu,true_sigma,size=10000)+100"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"shape,loc,scale = st.lognorm.fit(data_shifted)\n",
"shape0,loc0,scale0 = st.lognorm.fit(data_shifted,floc=0)\n",
"shapetrans,loctrans,scaletrans = st.lognorm.fit(data_shifted-100,floc=0)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Scipy fit with free loc parameter:\n",
"\tmu:\t\t\t2.7226\n",
"\tsigma:\t\t\t1.1399\n",
"\tloc:\t\t\t99.9517\n",
"\t|true_mu-mu|:\t\t0.0043\n",
"\t|true_sigma-sigma|:\t0.0159\n",
"Scipy fit with floc=0:\n",
"\tmu:\t\t\t4.8248\n",
"\tsigma:\t\t\t0.2365\n",
"\tloc:\t\t\t0.0000\n",
"\t|true_mu-mu|:\t\t2.1066\n",
"\t|true_sigma-sigma|:\t0.9192\n",
"Scipy fit transformed data with floc=0:\n",
"\tmu:\t\t\t2.7164\n",
"\tsigma:\t\t\t1.1470\n",
"\tloc:\t\t\t0.0000\n",
"\t|true_mu-mu|:\t\t0.0019\n",
"\t|true_sigma-sigma|:\t0.0088\n"
]
}
],
"source": [
"print('Scipy fit with free loc parameter:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.log(scale))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%shape)\n",
"print('\\tloc:\\t\\t\\t%0.4f'%loc)\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.log(scale)-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(shape-true_sigma))\n",
"\n",
"print('Scipy fit with floc=0:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.log(scale0))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%shape0)\n",
"print('\\tloc:\\t\\t\\t%0.4f'%loc0)\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.log(scale0)-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(shape0-true_sigma))\n",
"\n",
"print('Scipy fit transformed data with floc=0:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.log(scaletrans))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%shapetrans)\n",
"print('\\tloc:\\t\\t\\t%0.4f'%loctrans)\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.log(scaletrans)-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(shapetrans-true_sigma))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with mc.Model() as m100:\n",
" mu = mc.Normal('mu',np.mean(np.log(data)),1)\n",
" tau = mc.Gamma('tau',1,1)\n",
" \n",
" obs = mc.Lognormal('obs',mu=mu,tau=tau,observed=data_shifted)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with m100:\n",
" MAP = mc.find_MAP()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PyMC3 MAP on shifted data:\n",
"\tmu:\t\t\t4.8248\n",
"\tsigma:\t\t\t0.2369\n",
"\t|true_mu-mu|:\t\t2.1065\n",
"\t|true_sigma-sigma|:\t0.9188\n"
]
}
],
"source": [
"print('PyMC3 MAP on shifted data:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%MAP['mu'])\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%(1./np.sqrt(np.exp(MAP['tau_log']))))\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(MAP['mu']-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs((1./np.sqrt(np.exp(MAP['tau_log'])))-true_sigma))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 2.3 sec"
]
}
],
"source": [
"with m100:\n",
" step = mc.NUTS(scaling=MAP)\n",
" trace = mc.sample(1000,step=step,start=MAP)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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gw513Vl49cEvmnXdsgsJjj4UrrtgySgMHOgcRQVU79Q4SkauBrbBc4f8GTgOe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UF8GcNlR13T/PnpsVzhY4KWrLBl22/PuSZMefXV7Jb8Tp3cfXnkEfdfF7TIFWrJCv4G6dbrRClZ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2tzwfyziLrFnTveOkpRRhtRzHjhOyShWK9t3XBI6kMk+dmg3uUi6SNFlQOH9YqddWaPuxY3OD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\ngUAgEAgEykgQsgKBQCAQCAQCgUCgjPx/Ypztbo1quQAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f83af63ea90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mc.traceplot(trace);"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PyMC3 Posterior Sample Median on shifted data:\n",
"\tmu:\t\t\t4.8249\n",
"\tsigma:\t\t\t0.2370\n",
"\t|true_mu-mu|:\t\t2.1066\n",
"\t|true_sigma-sigma|:\t0.9187\n"
]
}
],
"source": [
"print('PyMC3 Posterior Sample Median on shifted data:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.median(trace['mu']))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%np.median(1./np.sqrt(trace['tau'])))\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.median(trace['mu'])-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(np.median(1./np.sqrt(trace['tau']))-true_sigma))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with mc.Model() as m100trans:\n",
" mu = mc.Normal('mu',np.mean(np.log(data)),1)\n",
" tau = mc.Gamma('tau',1,1)\n",
" \n",
" obs = mc.Lognormal('obs',mu=mu,tau=tau,observed=data_shifted-100)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with m100trans:\n",
" MAP = mc.find_MAP()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PyMC3 MAP on transformed shifted data:\n",
"\tmu:\t\t\t2.7164\n",
"\tsigma:\t\t\t1.1469\n",
"\t|true_mu-mu|:\t\t0.0019\n",
"\t|true_sigma-sigma|:\t0.0088\n"
]
}
],
"source": [
"print('PyMC3 MAP on transformed shifted data:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%MAP['mu'])\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%(1./np.sqrt(np.exp(MAP['tau_log']))))\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(MAP['mu']-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs((1./np.sqrt(np.exp(MAP['tau_log'])))-true_sigma))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 2.2 sec"
]
}
],
"source": [
"with m100trans:\n",
" step = mc.NUTS(scaling=MAP)\n",
" trace = mc.sample(1000,step=step,start=MAP)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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qIXriFCR/Lu99SmtkJeUd9e3rjrVsWVZBjVPw7r0325cvvZQNoczXtjR5I4XK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oZB0d8MQTxlb3kkvMb61MMCwWS/6ImPd81iyTcuHGG41Zx5QpRuN19NHFMAWyWLzUOrBEtVST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\nsiwWi8VisVgsFoslQ/4/fs3iyBaSYskAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f83ac04e110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mc.traceplot(trace);"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PyMC3 Posterior Sample Median on transformed shifted data:\n",
"\tmu:\t\t\t2.7162\n",
"\tsigma:\t\t\t1.1468\n",
"\t|true_mu-mu|:\t\t0.0021\n",
"\t|true_sigma-sigma|:\t0.0090\n"
]
}
],
"source": [
"print('PyMC3 Posterior Sample Median on transformed shifted data:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.median(trace['mu']))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%np.median(1./np.sqrt(trace['tau'])))\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.median(trace['mu'])-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(np.median(1./np.sqrt(trace['tau']))-true_sigma))"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class ShiftedLognormal(mc.Continuous):\n",
" def __init__(self, mu=0.0, tau=None, sd=None, c=0.0, *args, **kwargs):\n",
" super(ShiftedLognormal,self).__init__(*args, **kwargs)\n",
" self.mu = mu\n",
" self.c = c\n",
" self.tau = mc.distributions.continuous.get_tau_sd(tau=tau,sd=sd)[0]\n",
" def logp(self, value):\n",
" tau = self.tau\n",
" mu = self.mu\n",
" c = self.c\n",
" pi = mc.dist_math.pi\n",
" log = mc.log\n",
" bound = mc.distributions.continuous.bound\n",
" x = value - c\n",
" return bound(-0.5*tau*(log(x) - mu)**2 + 0.5*log(tau/(2.*pi)) - log(x),\n",
" tau > 0,\n",
" x > 0)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with mc.Model() as mshifted:\n",
" mu = mc.Normal('mu',np.mean(np.log(data)),1)\n",
" tau = mc.Gamma('tau',1,1)\n",
" c = mc.Uniform('c',0,np.min(data_shifted))\n",
" \n",
" obs = ShiftedLognormal('obs',mu=mu,tau=tau,c=c,observed=data_shifted)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with mshifted:\n",
" MAP = mc.find_MAP(fmin=mc.starting.optimize.fmin_powell) # for some reason this works instead of the default"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"MAP_c = (np.min(data_shifted) - 0) * np.exp(MAP['c_interval']) / (1 + np.exp(MAP['c_interval'])) + 0\n",
"MAP_sd = 1./np.sqrt(np.exp(MAP['tau_log']))"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PyMC3 MAP with Shifted Lognormal:\n",
"\tmu:\t\t\t2.7349\n",
"\tsigma:\t\t\t1.1308\n",
"\tc:\t\t\t99.9124\n",
"\t|true_mu-mu|:\t\t0.0166\n",
"\t|true_sigma-sigma|:\t0.0250\n",
"\t|true_c-c|:\t\t0.0876\n"
]
}
],
"source": [
"print('PyMC3 MAP with Shifted Lognormal:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%MAP['mu'])\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%MAP_sd)\n",
"print('\\tc:\\t\\t\\t%0.4f'%MAP_c)\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(MAP['mu']-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs((1./np.sqrt(np.exp(MAP['tau_log'])))-true_sigma))\n",
"print('\\t|true_c-c|:\\t\\t%0.4f'%np.abs(MAP_c-100))"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"ERROR (theano.gof.opt): SeqOptimizer apply <theano.tensor.opt.FusionOptimizer object at 0x7f845d666b50>\n",
"ERROR:theano.gof.opt:SeqOptimizer apply <theano.tensor.opt.FusionOptimizer object at 0x7f845d666b50>\n",
"ERROR (theano.gof.opt): Traceback:\n",
"ERROR:theano.gof.opt:Traceback:\n",
"ERROR (theano.gof.opt): Traceback (most recent call last):\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/gof/opt.py\", line 195, in apply\n",
" sub_prof = optimizer.optimize(fgraph)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/gof/opt.py\", line 81, in optimize\n",
" ret = self.apply(fgraph, *args, **kwargs)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5498, in apply\n",
" new_outputs = self.optimizer(node)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5433, in local_fuse\n",
" n = OP(C)(*inputs).owner\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/elemwise.py\", line 496, in __init__\n",
" scalar_op.nout)\n",
"ValueError: Cannot construct a ufunc with more than 32 operands (requested number were: inputs = 52 and outputs = 1)\n",
"\n",
"ERROR:theano.gof.opt:Traceback (most recent call last):\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/gof/opt.py\", line 195, in apply\n",
" sub_prof = optimizer.optimize(fgraph)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/gof/opt.py\", line 81, in optimize\n",
" ret = self.apply(fgraph, *args, **kwargs)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5498, in apply\n",
" new_outputs = self.optimizer(node)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5433, in local_fuse\n",
" n = OP(C)(*inputs).owner\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/elemwise.py\", line 496, in __init__\n",
" scalar_op.nout)\n",
"ValueError: Cannot construct a ufunc with more than 32 operands (requested number were: inputs = 52 and outputs = 1)\n",
"\n",
"ERROR (theano.gof.opt): SeqOptimizer apply <theano.tensor.opt.FusionOptimizer object at 0x7f845d666b50>\n",
"ERROR:theano.gof.opt:SeqOptimizer apply <theano.tensor.opt.FusionOptimizer object at 0x7f845d666b50>\n",
"ERROR (theano.gof.opt): Traceback:\n",
"ERROR:theano.gof.opt:Traceback:\n",
"ERROR (theano.gof.opt): Traceback (most recent call last):\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/gof/opt.py\", line 195, in apply\n",
" sub_prof = optimizer.optimize(fgraph)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/gof/opt.py\", line 81, in optimize\n",
" ret = self.apply(fgraph, *args, **kwargs)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5498, in apply\n",
" new_outputs = self.optimizer(node)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5445, in local_fuse\n",
" ret = local_fuse(n)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5433, in local_fuse\n",
" n = OP(C)(*inputs).owner\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/elemwise.py\", line 496, in __init__\n",
" scalar_op.nout)\n",
"ValueError: Cannot construct a ufunc with more than 32 operands (requested number were: inputs = 35 and outputs = 1)\n",
"\n",
"ERROR:theano.gof.opt:Traceback (most recent call last):\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/gof/opt.py\", line 195, in apply\n",
" sub_prof = optimizer.optimize(fgraph)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/gof/opt.py\", line 81, in optimize\n",
" ret = self.apply(fgraph, *args, **kwargs)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5498, in apply\n",
" new_outputs = self.optimizer(node)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5445, in local_fuse\n",
" ret = local_fuse(n)\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/opt.py\", line 5433, in local_fuse\n",
" n = OP(C)(*inputs).owner\n",
" File \"/nfs/adaptive/bedwards/anaconda/lib/python2.7/site-packages/theano/tensor/elemwise.py\", line 496, in __init__\n",
" scalar_op.nout)\n",
"ValueError: Cannot construct a ufunc with more than 32 operands (requested number were: inputs = 35 and outputs = 1)\n",
"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 13.3 sec"
]
}
],
"source": [
"with mshifted:\n",
" step = mc.NUTS(scaling=MAP)\n",
" trace = mc.sample(1000,step=step,start=MAP)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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TdbQefhi4++7CyqST5LEDnHxtgHotfE8RS1U2izX5HDYRwEKjr9GpMMLxkFDDMXH6LQal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\nzNMglQL3jdDO9rw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X1Nm6NT33Rl27TZu88DWbceZ3zqYmUSRfecUugx+2BacBu5GlsIVS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xe4uIfCAiczKv/9eTxtQKUXkdv/wlXHutmbDSvWFqgXrKY6mVtm69Ndx1l5m0+LDD4De/iR69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\nkhXnLjhwoHmbQM94KLfOkWRhilN2kqyn7lmWZGlNs2RBcrxmNKZ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3uK7994ep\nU237QCAQqBWbbgojRtS6FIFAfpolJqvmkxEXQqNO2rhunY2Wz58P8+ZZXIhb3nvPYqt23dVclg44\nAEaPrnWJA4EAwDvvmGX5zjvhnnvg1Vdhr71M8Zo+3ZSzIUNqXcrqEyYjLp1Gfa8FAoH6pb0dDjus\nfGX8jTfs3VeKxRWs/3v55XD88fWZaKpS77agZFWZtWvh9ddNkXrpJft0y8svw/DhsNVWtmy7bXaZ\nNKnxNfxAoFF45x1zI7zvPrM8P/WUWZv33ju7TJhQ61JWnqBklU5ffq8FAoHmZsUKuPHG0pUsVbjs\nMsstUI+5BIKSVSesWwdvv20j2W55+eXs8vrrsPHGsOWWsMUW9ul/r0QsVUdHR8iClkKQTzJBNumU\nKp9Vq+DRR+GBB+D++23p39+sXXvtZdbpnXfu++mmg5JVOvX8XgsEAoFq095uU6bUo6t9pd5tdVE1\nETkUuADoB/xeVX9Sq7Komoa+fDm8+64t77xjMVJvv23L4sWwaJGZS996y+bXmTgxu0yZYpnKJk+2\nZeDA6pb5ySefDB3lFIJ8kgmySadU+QwaBPvuawvYc+Xll03pevBB+Mtf4PnnYZttzLVwl11s2X77\n6j8vAoWT790kIl8BTs38bAW2BTYEhgJ/BDYGFPitqv6it8rdCIQBoHSCfNIJ8kmnHuTT2mpz2zUy\nNVeyRKQf8L/ALOAN4BERuV5Vnyv1mKqwcqUpRkuXmpLkFKZ334Vly2xZvjx3ee89WwYPNje+0aNh\n1ChbRo+GMWPMlW///WHs2OxS607R8uXLa1uAOifIJ5kgm3QqJR8Rs15vsQV87GO2bvVqePJJm9vu\n/vvhl7+0hBqbb24DNdttZ8uWW9q64cMrUpRAgRTyblLVnwE/y2x/JPBFVV0uIgOBL6nqkyKyAfCY\niNxWznut2aiHTmA9E+STTpBPOvUgnxNOqOnpe4WaK1nA7sB8VV0AICKXAbOBkl5GCxaYIgSw0Uam\nHLnFKUybbmqdlxEjYORI+xw+3JYRI+rTdBkIBBqLgQPNbXDPPbPrVq82C9fcufDss3DppVnX47Y2\n2Gwz2GQTe4aNGWPPq2HD7Nk1ZAgMGGDH7d8/OzFpS4sNPK1bl/2MLqq2QHauHREbZXSjjWPGmGW+\niSj23XQK0A6gqm8Bb2W+fyAizwFjU/YNBAKBQINRD+rEOOB17/dCYI9SD7bZZma5Gjy47HL1GRYs\nWFDrItQ1QT7JBNmk09vyGTjQ0sFPnZq7XtWs8gsXmovym2+a2/KyZTaw9N57Zr1fs8YUtc7OrPLU\n3W2KlptDxylP0XVu8RWy7m5b1q6Fo4+2ecKaiILfTSIyGDgE+HzMf5OAnYGHKl7CQCAQCNQtNU98\nISLHA4eq6mcyvz8G7KGqZ3rbhOjgQCAQqEMaNfFFIe8mb9uTgFNUdXZk/QZAB/B9Vb028l94rwUC\ngUCd0iiJL94A/OTGE7ARw/U06ks8EAgEAnVL3neTxxwyroIOEWkDrgL+HFWwILzXAoFAoNGpB0tW\nK/ACcCCwCHgYODkECAcCgUCgVhT6bhKR4cDLwHhVXZVZJ8AlwDuq+qVeLXggEAgE6oKaT3erqmuB\nfwduAeYClwcFKxAIBAK1JOndJCJniMgZ3qbHALc4BSvDPsDHgJki8kRmObTXCh8IBAKBmlNzS1Yg\nEAgEAoFAIBAINBI1tWSJyKEi8ryIvCgiX4/5/yveKODTIrJWREaIyAQRuUtEnhWRZ0TkC7Uof7Up\nVT7e//0y/93QuyXvHcqRT6YdXSkiz4nIXBHZs+cZ+jZlyudLmXvraRG5VEQG9H4NqksB8hkuIjeI\nyJMZWZxe6L6NQKnyaZbnczk0Q/tJI6mNiMgoEblNROaJyK2R99k3MvJ6XkQOrl3pe4/oOzzIJ0vM\nO3yPIJ8sce/wZpaPiFwoIotF5GlvXdHyEJFdMzJ9UUR+nvfEqlqTBegHzAcmAW3Ak8C2KdsfCdye\n+b4JMDXzfQPMbz5x3764lCMfb93ZwF+A62tdn3qTDxYv8anM91ZgeK3rVC/ywVJXvwwMyPy+HDit\n1nXqbfkA3wR+lPm+IfBOpq0UJdu+uJQpn4Z/Pldbto2+JLUR4D+Br2XWfx34ceb7dhk5tWXkNh9o\nqXU9ekFOOe/wIJ8c2fR4hwf5rJdN7Du8meUD7ItNpfG0t64YeTjPv4eB3TPfb8Iy0Caet5aWrPUT\nPapqF+AmekwiZ6JHVX0y8/0DbILHsVUub29TsnwARGQ8cDjwe6ARs1iVLB+xQPV9VfVCsNgLVX2v\n2gXuZcpqP9hLa7BY8P9gLNNaI1GIfNYBwzLfh2FJDNYWuG9fp2T5NMnzuRyaof2kktBGxgFHY51n\nMp/HZL7PBtpVtUttcuj5mBwbloR3eJAPqe/wIJ8s0Xf4IppYPqp6L7AssroYeewhIpsCQ1X14cx2\nf/T2iaWWSlbcRI/j4jaU7ESPV8X8N4nGnOixXPn8N/BVrCPUiJQjn8nAEhG5SEQeF5HfZbZpJEqW\nj6q+Afw/4DXswbxcVW+vaml7n0Lk87/AdiKyCHgKOKuIffs65chnPQ38fC6HZmg/BRNpI2NUdXHm\nr8XAmMz3seSmz28GmcW9w4N8jLh3+BCCfIDEd/htBPlEKVYe0fVvkEdOtVSyism4cRRwn6ou91eK\nTfR4JXBWZjSskShZPiJyJPC2qj5BY1qxoLz20wrsAvyfqu4CfAicU+Hy1Zpy2s9IbIRnEvZQ2UBE\nTq14CWtLIfI5FHhcVccCU4FfisjQ6harbihbPg3+fC6HkG0qQ6aNXIW1kRX+f2r+OGmyalg5FvIO\nb2b5UMA7vJnlk/AO/5i/TTPLJ44C5FEStVSyqjrRYwNQjnz2Bo4WkVcy6w8QkT9WpZS1oxz5LAQW\nquojmd9XYg/sRqIc+cwCXlFV5x53NdamGolC5HM6VndU9SXgFWCbzHaFyravUo58muH5XA7F3JsN\ni9dG/uS1kcUisknm/02BtzProzIbT+O5MPvEvcP/RJCPI+kd/laQDxD/Dt+LIJ8oxdxPCzPrx0fW\np8qplkrWo8BWIjJJRPoDJwHXRzfK+N7uB1znrRPgD8BcVb2gl8rb25QsH1X9pqpOUNXJWAf6TlX9\nRC+Vu7coRz5vAa+LyNaZVbOAZ6tf5F6lZPkArwJ7isigzL02C5snqJEoRD6vYXVHRMZgCsTLBe7b\n1ylZPk3yfC6HZmg/qaS0keuxAH0yn9d66+eISH8RmQxshQWgNyQJ7/CPE+QDpL7DbyDIB5Lf4UE+\nuRR1P2Xa3ftimSwF+Li3TzzFZOeo9AIchmUVmg98I7PuDOAMb5vTgEsj+03H/JSfBJ7ILKkZPvri\nUqp8IsfYnwbMLliufICdgEewWJKrabDsghWQz3lYMPrTWEBoW63r09vyATbFJqL9Z0YOp6Tt22hL\nqfJpludzpWXbTEtSGwFGAbcD84BbgRHePt/MyOt54JBa16EXZbX+HR7kkyOXHu/wIJ8c+fR4hzez\nfDCL8CKgE4uJ/WQp8gB2zch0PvCLfOcNkxEHAoFAIBAIBAKBQAWp6WTEgUAgEAgEAoFAINBoBCUr\nEAgEAoFAIBAIBCpIULICgUAgEAgEAoFAoIIEJSsQCAQCgUAgEAgEKkhQsgKBQCAQCAQCgUCgggQl\nKxAIBAKBQCAQCAQqSFCyAoFAIBAIBAKBQKCCBCUrEAgEAoFAIBAIBCpIULICgUAgEAgEAoFAoIIE\nJSsQCAQCgUAgEAgEKkhQsgKBQCAQCAQCgUCgggQlKxAIBAKBQCAQCAQqSFCyAoFAIBAIBAKBQKCC\nBCUrEOglRGSCiFwtIm+LyFIR+Z9alykQCAQCgVIJ77VAIJmgZAUCvYCI9ANuBF4BJgLjgMtqWqhA\nIBAIBEokvNcCgXREVWtdhkCg4RGRvYDrgE1UdV2tyxMIBAKBQDmE91ogkE6wZAUCvcME4NXwIgoE\nAoFAgxDea4FACkHJCgR6h9eBzTLuFYFAIBAI9HXCey0QSCEoWYFA7/AQ8CbwYxEZLCIDRWTvWhcq\nEAgEAoESCe+1QCCFoGQFAr1Axp3iKGBL4DVsBPDEmhYqEAgEAoESCe+1QCCdulCyROQsEXlaRJ4R\nkbNqXZ5AoBqo6uuqeqyqbqiqG6nqF2tdpkCgGRCRC0VksYg87a0bJSK3icg8EblVREZ4/31DRF4U\nkedF5OCEY54gIs+KSLeI7BL5L+/+gUAjEN5rgUAyNVeyRGR74F+A3YCdgCNFZIvalioQCAQCDcRF\nwKGRdecAt6nq1sAdmd+IyHbAScB2mX3+T0Ti3pVPA8cC9/gri9g/EAgEAg1MPTz4PwI8pKqrVbUb\nuBs4rsZlCgQCgUCDoKr3Assiq48GLsl8vwQ4JvN9NtCuql2qugCYD+wec8znVXVezOkK2j8QCAQC\njU09KFnPAPtmXDcGA0cA42tcpkAgEAg0NmNUdXHm+2JgTOb7WGCht91CbJLVQil3/0AgEAg0AK21\nLoCqPi8iPwFuBT4EngBy5lwQkTBjciAQCNQhqiq1LkO5qKrmec+U+w7qsX94rwUCgUD9Uol3Wz1Y\nslDVC1V1mqruDywHXojZpmmW73znOzUvQ6hvqGuob6hvvqWPs1hENgEQkU2BtzPr38AmWXWMz6wr\nlIL3r/X1q+el2e6lIJ8gnyCf+lkqRV0oWSKyceZzMyyQ+NLaligQCAQCDc71wGmZ76cB13rr54hI\nfxGZDGwFPJznWP6IZyn7BwKBQKDBqLm7YIYrRWQ00AV8XlXfr3WBasmCBQtqXYRepZnq20x1hVDf\nQH0gIu3A/sCGIvI68G3gx8BfReTTwAIy8/uo6lwR+SswF1iLvZM0c5zfAb9W1cdE5FjgF8CGwN9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zXvsUqO+/9KRB4Rkc+LyPAKHrfpaLa4jlLru2SJBSz+4Q+w5ZaVLVO16KvX9hOfyCpa/ohx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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f83a4dac910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mc.traceplot(trace);"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PyMC3 Posterior Sample Median on transformed shifted data:\n",
"\tmu:\t\t\t2.7222\n",
"\tsigma:\t\t\t1.1393\n",
"\tc:\t\t\t99.9501\n",
"\t|true_mu-mu|:\t\t0.0040\n",
"\t|true_sigma-sigma|:\t0.0164\n",
"\t|true_c-c|:\t\t0.0499\n"
]
}
],
"source": [
"print('PyMC3 Posterior Sample Median on transformed shifted data:')\n",
"print('\\tmu:\\t\\t\\t%0.4f'%np.median(trace['mu']))\n",
"print('\\tsigma:\\t\\t\\t%0.4f'%np.median(1./np.sqrt(trace['tau'])))\n",
"print('\\tc:\\t\\t\\t%0.4f'%np.median(trace['c']))\n",
"print('\\t|true_mu-mu|:\\t\\t%0.4f'%np.abs(np.median(trace['mu'])-true_mu))\n",
"print('\\t|true_sigma-sigma|:\\t%0.4f'%np.abs(np.median(1./np.sqrt(trace['tau']))-true_sigma))\n",
"print('\\t|true_c-c|:\\t\\t%0.4f'%np.abs(np.median(trace['c'])-100))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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