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A more elegant model for time dependent problems, with some weird errors.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Time dependent correlations\n",
"\n",
"We know stocks are correlated. However, correlation and variance are both time-dependent. So it would be go to model this properly. The final goal will be to implement it via [this](https://github.com/pymc-devs/pymc3/blob/3.1/pymc3/distributions/timeseries.py#L164).\n",
"\n",
"In the first part we discuss a possible implementation via the MvGaussianRandomWalk. In the last section we actually go through a working example, which is however not a single model.\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pymc3 as pm\n",
"import scipy as sp\n",
"import numpy as np\n",
"from matplotlib.patches import Ellipse\n",
"from theano import tensor as T\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from pandas_datareader import data\n",
"\n",
"from pymc3.distributions.timeseries import GaussianRandomWalk\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Correlations from the MvGaussianRandomWalk"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The typical approach\n",
"\n",
"We get the prices and then investigate the return. This we model with a correlated Multi-Variate normal distribution"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"prices = data.YahooDailyReader(symbols=['GLD', 'GDX'], end='2014-8-1').read().loc['Adj Close', :, :].iloc[:1000]"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ppAJ1alTMZremSgYJFsUQz8T1x3z25OPhl/zt5AYJPokRQixau2h85mcW3gRl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\ntTotStaH7Ws/5DFN2P5tGAS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MaLqBYVLWQNhXwec6nGYdr/TaXrkZgqjGWTkLMpQAu8ul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\nMLIOAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10be029b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rets = prices.pct_change()\n",
"\n",
"plt.plot(rets.index, rets);"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with pm.Model() as MvModel:\n",
" sigma = pm.Lognormal('sigma', np.zeros(2), np.ones(2), shape=2)\n",
" sigma_diag = pm.Deterministic('sigma_mat', T.nlinalg.diag(sigma))\n",
" \n",
" nu = pm.Uniform('nu', 0, 5)\n",
" C_triu = pm.LKJCorr('C_triu', nu, 2)\n",
" \n",
" C = pm.Deterministic('C', T.fill_diagonal(C_triu[np.zeros((2, 2), dtype=np.int64)], 1.))\n",
" cov = pm.Deterministic('cov', T.nlinalg.matrix_dot(sigma_diag, C, sigma_diag))\n",
" \n",
" mu = pm.Normal('mu', mu=0, sd=1, shape=2)\n",
" x_ = pm.MvNormal('x', mu=mu, cov=cov, observed=rets)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 2000/2000 [00:03<00:00, 652.45it/s]\n"
]
}
],
"source": [
"n_samples = 2000\n",
"n_burn = 500\n",
"n_thin = 1\n",
"\n",
"with MvModel:\n",
" step = pm.Metropolis()\n",
" trace_ = pm.sample(n_samples, step)\n",
"\n",
"trace = trace_[n_burn::]"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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MT+F6Lra1o/VJQRAEQRCWp9t8CNrnPMvNnRoopa4Hbgdu11q/3d/2asDWWn/8Qg32gNOT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YapC3VhehB8Dfi2Uuoid/2Sx13vialZ5n8Yqb/DRW6bu12h/aRm6lhsP5VQqbjTlFLv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FQtM3EqW+RisQFwXHebna9p5faZ7d3XQiEdo+SdE5U5Wrl23Pc19z3HaaNzTKWt7rFz+k4r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\nIiIiIiIiIpISSkyJiIiIiIiIiEhK/H+2bhCrpa+iwgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dfaf3c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace, varnames=['sigma','mu', 'C_triu']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test of the MvGaussianRandomWalk\n",
"\n",
"As this works, we can also try to describe the properties of two stocks through a correlated random walk."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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awsS9oSCYlN7W6aXL4yPLYWPrvvB7/QhnDs++s5vXPjqo7zt30Viqj7WxbX8j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0AAAg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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10eeee588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(2,1, figsize = (7, 6), sharex=True)\n",
"\n",
"ax[0].plot(prices.GLD, label = 'GLD')\n",
"ax[0].legend()\n",
"ax[1].plot(prices.GDX, label = 'GDX')\n",
"ax[1].legend()\n",
"\n",
"prices0 = prices.values;\n",
"prices0 = prices0 - prices0[0,:];"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"write the model"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with pm.Model() as RwModel:\n",
" mu = pm.Normal('mu', mu=0, sd=1, shape=2)\n",
" \n",
" sigma = pm.Lognormal('sigma', np.zeros(2), np.ones(2), shape=2)\n",
" sigma_diag = pm.Deterministic('sigma_mat', T.nlinalg.diag(sigma))\n",
" \n",
" nu = pm.Uniform('nu', 0, 5)\n",
" C_triu = pm.LKJCorr('C_triu', nu, 2) \n",
" C = pm.Deterministic('C', T.fill_diagonal(C_triu[np.zeros((2, 2), dtype=np.int64)], 1.))\n",
" \n",
" cov = pm.Deterministic('cov', T.nlinalg.matrix_dot(sigma_diag, C, sigma_diag))\n",
" \n",
" x_ = pm.MvGaussianRandomWalk('x', mu=mu, cov=cov, observed=prices0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"run the MCMC"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 5000/5000 [00:05<00:00, 869.51it/s]\n"
]
}
],
"source": [
"n_samples = 5000\n",
"n_burn = 500\n",
"n_thin = 1\n",
"\n",
"with RwModel:\n",
" step = pm.Metropolis()\n",
" trace_ = pm.sample(n_samples, step)\n",
"\n",
"trace = trace_[n_burn::]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and show the result"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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b3u1qU82uD1T68Rf67+JqpaSk6vjjp+maaxbquOOO/Z1R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\nqaujthOtypsaPMiOzCUNbF3pKwq8F6pjJqaUdpMOOpUNy17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YhoVdLfce1v914EpgL2Ap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SDUXC4taxRVB6sp3/MhdSXbSRlzRMxyuYTEZKiqGpK5XNHu9cDAzeUi6Zm+YGZODGskImqYkgEn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\n8zASEhLYvHkT//rXI6xY8SZ///sDZGRkt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"text/plain": [
"<matplotlib.figure.Figure at 0x10ebb7f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.plot_posterior(trace, varnames=['sigma','mu', 'C_triu']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"given the rough factor of one hundred the two approaches seem very similiar.\n",
"__ It would be actually really nice to employ the [PPC](https://pymc-devs.github.io/pymc3/notebooks/posterior_predictive.html) to test how likely this model describes the observed data, but it fails for the moment __"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 0%| | 0/500 [00:00<?, ?it/s]"
]
},
{
"ename": "AttributeError",
"evalue": "'MvGaussianRandomWalk' object has no attribute 'random'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-26-521c7df37012>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mppc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpm\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msample_ppc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrace\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msamples\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m500\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mRwModel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msize\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m10\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m/Users/fnj/retDevEnv/lib/python3.5/site-packages/pymc3/sampling.py\u001b[0m in \u001b[0;36msample_ppc\u001b[0;34m(trace, samples, model, vars, size, random_seed, progressbar)\u001b[0m\n\u001b[1;32m 388\u001b[0m \u001b[0mparam\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrace\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0midx\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 389\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mvar\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mvars\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 390\u001b[0;31m ppc[var.name].append(var.distribution.random(point=param,\n\u001b[0m\u001b[1;32m 391\u001b[0m size=size))\n\u001b[1;32m 392\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mAttributeError\u001b[0m: 'MvGaussianRandomWalk' object has no attribute 'random'"
]
}
],
"source": [
"ppc = pm.sample_ppc(trace, samples=500, model=RwModel, size = 10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Time-dependent volatility\n",
"\n",
"If we look at the time-evolution of the return we typically feel that we would like to model it with a time-dependent volatility."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with pm.Model() as FullModel:\n",
" sigma = pm.Exponential('sigma', 1./.02, shape=2) \n",
" sigma_diag = pm.Deterministic('sigma_mat', T.nlinalg.diag(sigma))\n",
" s = pm.MvGaussianRandomWalk('s', cov= sigma_diag, shape=(1000,2))\n",
"\n",
" s_diag = pm.Deterministic('s_mat', T.nlinalg.diag(pm.math.exp(-2*s)))\n",
" nu = pm.Uniform('nu', 0, 5)\n",
" C_triu = pm.LKJCorr('C_triu', nu, 2) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"construct the correlation matrix"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with FullModel:\n",
" C = pm.Deterministic('C', T.fill_diagonal(C_triu[np.zeros((2, 2), dtype=np.int64)], 1.))\n",
" cov = pm.Deterministic('cov', T.nlinalg.matrix_dot(s_diag, C, s_diag))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Build the full model. __ I am not sure what is failing here. __"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"ename": "AssertionError",
"evalue": "",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-25-f307646ac66e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mwith\u001b[0m \u001b[0mFullModel\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mmu\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpm\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mNormal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'mu'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msd\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mshape\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mx_\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpm\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mMvNormal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'x'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcov\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcov\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mobserved\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mrets\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m/Users/fnj/retDevEnv/lib/python3.5/site-packages/pymc3/distributions/distribution.py\u001b[0m in \u001b[0;36m__new__\u001b[0;34m(cls, name, *args, **kwargs)\u001b[0m\n\u001b[1;32m 32\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstring_types\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 33\u001b[0m \u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mkwargs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpop\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'observed'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 34\u001b[0;31m \u001b[0mdist\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcls\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 35\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mVar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdist\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 36\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/Users/fnj/retDevEnv/lib/python3.5/site-packages/pymc3/distributions/distribution.py\u001b[0m in \u001b[0;36mdist\u001b[0;34m(cls, *args, **kwargs)\u001b[0m\n\u001b[1;32m 43\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mdist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcls\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 44\u001b[0m \u001b[0mdist\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__new__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcls\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 45\u001b[0;31m \u001b[0mdist\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__init__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 46\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mdist\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 47\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/Users/fnj/retDevEnv/lib/python3.5/site-packages/pymc3/distributions/multivariate.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, mu, cov, tau, *args, **kwargs)\u001b[0m\n\u001b[1;32m 92\u001b[0m DeprecationWarning)\n\u001b[1;32m 93\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmedian\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmode\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmu\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 94\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtau\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcov\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_tau_cov\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtau\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mtau\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcov\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcov\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 95\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 96\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mrandom\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpoint\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/Users/fnj/retDevEnv/lib/python3.5/site-packages/pymc3/distributions/multivariate.py\u001b[0m in \u001b[0;36mget_tau_cov\u001b[0;34m(mu, tau, cov)\u001b[0m\n\u001b[1;32m 49\u001b[0m \u001b[0mtau\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0meye\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmu\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 50\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 51\u001b[0;31m \u001b[0mtau\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnlinalg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmatrix_inverse\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcov\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 52\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 53\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/Users/fnj/retDevEnv/lib/python3.5/site-packages/theano/gof/op.py\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self, *inputs, **kwargs)\u001b[0m\n\u001b[1;32m 609\u001b[0m \"\"\"\n\u001b[1;32m 610\u001b[0m \u001b[0mreturn_list\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mkwargs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpop\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'return_list'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 611\u001b[0;31m \u001b[0mnode\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmake_node\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0minputs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 612\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 613\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mconfig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcompute_test_value\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0;34m'off'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/Users/fnj/retDevEnv/lib/python3.5/site-packages/theano/tensor/nlinalg.py\u001b[0m in \u001b[0;36mmake_node\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 71\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mmake_node\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 72\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mas_tensor_variable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 73\u001b[0;31m \u001b[0;32massert\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 74\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mApply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 75\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mAssertionError\u001b[0m: "
]
}
],
"source": [
"with FullModel:\n",
" mu = pm.Normal('mu', mu=0, sd=1, shape=2)\n",
" x_ = pm.MvNormal('x', mu=mu, cov=cov, observed=rets)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
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}
},
"nbformat": 4,
"nbformat_minor": 0
}
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