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@shoyer
Created November 2, 2015 19:38
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{
"cells": [
{
"cell_type": "code",
"execution_count": 142,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"import george\n",
"from george.kernels import Matern32Kernel, ConstantKernel, WhiteKernel\n",
"\n",
"def fake_2d_data(n_samples):\n",
" x = np.sqrt(n_samples / 10.0) * np.random.RandomState(12356).rand(n_samples, 2)\n",
" yerr = 0.2 * np.ones_like(x[:, 0])\n",
" y = np.sin(x[:, 0] + x[:, 1]) + yerr * np.random.randn(len(x))\n",
" return x, y\n"
]
},
{
"cell_type": "code",
"execution_count": 154,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"n_samples = 1000\n",
"x, y = fake_2d_data(n_samples)\n",
"\n",
"kernel = ConstantKernel(0.5, ndim=2) * Matern32Kernel(0.5, ndim=2) + WhiteKernel(0.1, ndim=2)\n",
"gp = george.GP(kernel)\n",
"gp.compute(x)"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
"CPU times: user 11.1 s, sys: 660 ms, total: 11.7 s\n",
"Wall time: 8.65 s\n"
]
},
{
"data": {
"text/plain": [
"(array([ 0.76896798, 2.60921472, -3.29287499]),\n",
" status: 0\n",
" nfev: 186\n",
" success: True\n",
" fun: -3.9937065551896467\n",
" x: array([ 0.76904754, 2.60927495, -3.29287974])\n",
" message: 'Optimization terminated successfully.'\n",
" nit: 103)"
]
},
"execution_count": 148,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"%time gp.optimize(x, y, verbose=True, method='Nelder-Mead')"
]
},
{
"cell_type": "code",
"execution_count": 155,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1.11 s, sys: 18 ms, total: 1.13 s\n",
"Wall time: 495 ms\n"
]
}
],
"source": [
"test_pts = np.array(np.meshgrid(np.linspace(0, np.sqrt(n_samples / 10.), num=50),\n",
" np.linspace(0, np.sqrt(n_samples / 10.), num=50))).reshape(2, -1).T\n",
"\n",
"%time mu, cov = gp.predict(y, test_pts)"
]
},
{
"cell_type": "code",
"execution_count": 156,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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GwB8xYgQBD+5Rb+1R2pV1RU9HwqkXEZQs58mb8Ns8iX5HucI2LGpTl0Vt6nI1+A0DDpzn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\nI82aNStSOzk5OXm+2V27ydX16NmL3btDipRt8//S9ryJiQk1a9bEx8dH7pq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0sN//uFSs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Rs1ImjRohKH1nx4/56mWvIvMKFAQGkdXT5+/Fiicf4NYmNjiYyMxNjYGA8PD9T/UkPDwMAA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\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oeptYfimXSBj/7hV9Zk6nR48eWJuaMU3PFHt1WTe6zfEfMG3bgmWrVhVorH+af36r/j0J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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111b7e6d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, axes = plt.subplots(1, 2, figsize=(13,6))\n",
"\n",
"style = dict(cmap='RdBu', vmin=-1.5, vmax=1.5)\n",
"axes[0].scatter(x[:, 0], x[:, 1], c=y, s=50, **style)\n",
"axes[1].scatter(test_pts[:, 0], test_pts[:, 1], c=mu, s=50, marker='s', edgecolor='none', **style)\n",
"\n",
"\n",
"for ax in axes:\n",
" ax.set_xlim(0, np.sqrt(n_samples / 10))\n",
" ax.set_ylim(0, np.sqrt(n_samples / 10))"
]
},
{
"cell_type": "code",
"execution_count": 157,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"kernel = ConstantKernel(0.5, ndim=2) * Matern32Kernel(0.5, ndim=2) + WhiteKernel(0.1, ndim=2)\n",
"\n",
"def calc_lnlikelihood(solver, x, y):\n",
" gp = george.GP(kernel, solver=solver)\n",
" gp.compute(x)\n",
" return gp.lnlikelihood(y)\n",
"\n",
"def calc_grad_lnlikelihood(solver, x, y):\n",
" gp = george.GP(kernel, solver=solver)\n",
" gp.compute(x)\n",
" return gp.lnlikelihood(y)\n",
"\n",
"from timeit import default_timer\n",
"\n",
"class Timer(object):\n",
" def __init__(self, verbose=False):\n",
" self.verbose = verbose\n",
" self.timer = default_timer\n",
" \n",
" def __enter__(self):\n",
" self.start = self.timer()\n",
" return self\n",
" \n",
" def __exit__(self, *args):\n",
" end = self.timer()\n",
" self.elapsed_secs = end - self.start\n",
" self.elapsed = self.elapsed_secs * 1000 # millisecs\n",
" if self.verbose:\n",
" print 'elapsed time: %f ms' % self.elapsed\n"
]
},
{
"cell_type": "code",
"execution_count": 158,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"\n",
"def time_func(func, solver, n_samples):\n",
" with Timer() as t:\n",
" x, y = fake_2d_data(n_samples)\n",
" calc_lnlikelihood(solver, x, y)\n",
" return t.elapsed\n"
]
},
{
"cell_type": "code",
"execution_count": 159,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"n_samples = (10 ** np.linspace(2, 4, num=20)).astype(int)"
]
},
{
"cell_type": "code",
"execution_count": 160,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"time_basic = [time_func(calc_lnlikelihood, george.BasicSolver, n) for n in n_samples]\n",
"time_hodlr = [time_func(calc_lnlikelihood, george.HODLRSolver, n) for n in n_samples]"
]
},
{
"cell_type": "code",
"execution_count": 161,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11aea5210>"
]
},
"execution_count": 161,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AazZQSgLCbV6Ho1oZTtE0zaWZUxjHoluY9uc0ak+rTdXiVWlYvqHRIRnin3/g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\nIYQwzP8Dt/HoABTYfLcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111fb1f50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.loglog(n_samples, time_basic, '-s', label='Basic')\n",
"plt.loglog(n_samples, time_hodlr, '-s', label='HODLR')\n",
"plt.legend(loc='lower right')\n",
"plt.gca().set_ylabel('time (ms)')\n",
"plt.gca().set_xlabel('n_samples')\n",
"plt.gca().set_title('lnlikelihood')"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"time_basic = [time_func(calc_grad_lnlikelihood, george.BasicSolver, n) for n in n_samples]\n",
"time_hodlr = [time_func(calc_grad_lnlikelihood, george.HODLRSolver, n) for n in n_samples]"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x109b993d0>"
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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9HqZhzYZA8V5V+Rz1HMRPiQ9soG67dkHfvmbCwgkTLAlBpFTlrapS4hDLlfTh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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e955450>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.loglog(n_samples, time_basic, '-s', label='Basic')\n",
"plt.loglog(n_samples, time_hodlr, '-s', label='HODLR')\n",
"plt.legend(loc='lower right')\n",
"plt.gca().set_ylabel('time (ms)')\n",
"plt.gca().set_xlabel('n_samples')\n",
"plt.gca().set_title('grad_lnlikelihood')"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with Timer() as time:\n",
" 1 + 1"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.0021457672119140625"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"time.elapsed"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 13.8 s, sys: 559 ms, total: 14.4 s\n",
"Wall time: 6.31 s\n"
]
},
{
"data": {
"text/plain": [
"array([ -270.20780292, 324.34473093, -1026.08239766])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gp = george.GP(kernel)\n",
"gp.compute(x)\n",
"%time gp.grad_lnlikelihood(y)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 48.3 ms, sys: 2.13 ms, total: 50.4 ms\n",
"Wall time: 50.4 ms\n"
]
},
{
"data": {
"text/plain": [
"-586.79938380375984"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gp = george.GP(kernel)\n",
"gp.compute(x)\n",
"%time gp.lnlikelihood(y)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 8.89 s, sys: 479 ms, total: 9.37 s\n",
"Wall time: 9.37 s\n"
]
},
{
"data": {
"text/plain": [
"array([-182.28430864, 208.82577854, -463.12445191])"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gp = george.GP(kernel, solver=george.HODLRSolver)\n",
"gp.compute(x)\n",
"%time gp.grad_lnlikelihood(y)"
]
},
{
"cell_type": "code",
"execution_count": 245,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"\n"
]
},
{
"cell_type": "code",
"execution_count": 251,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
"CPU times: user 1.72 s, sys: 4.65 ms, total: 1.72 s\n",
"Wall time: 1.72 s\n"
]
},
{
"data": {
"text/plain": [
"(array([ 0.82397376, 2.54206949, 3.61616164, 0.13257601]),\n",
" status: 0\n",
" nfev: 212\n",
" success: True\n",
" fun: 48.113819111164084\n",
" x: array([-0.1936166 , 0.93297851, 1.28541314, -2.02059916])\n",
" message: 'Optimization terminated successfully.'\n",
" nit: 128)"
]
},
"execution_count": 251,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time gp.optimize(x, y, dims=[0, 1, 3, 4], verbose=True, method='Nelder-Mead')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"our model is:\n",
"\n",
"$$\n",
"k(r) = \\sigma^2 C(\\phi) + \\tau^2 \\delta(r)\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def lnprob(p):\n",
" p = np.asarray(p)\n",
" if np.any(abs(p) > 10):\n",
" return -np.inf\n",
" gp.mean.value = p[0]\n",
" gp.kernel.vector = p[1:]\n",
" return gp.lnlikelihood(y, quiet=True)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-575.86061584737763"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lnprob([-1, 0, 0, 0])"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import emcee\n",
"\n",
"gp.compute(x)\n",
"\n",
"# Set up the sampler.\n",
"nwalkers = 36\n",
"ndim = 4\n",
"sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob)\n",
"\n",
"p0 = [1e-4 * np.random.randn(ndim) for i in range(nwalkers)]"
]
},
{
"cell_type": "code",
"execution_count": 292,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from pystan.external.pymc import plots"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 47.4 s, sys: 1.53 s, total: 48.9 s\n",
"Wall time: 37.6 s\n"
]
}
],
"source": [
"%time pos, prob, state = sampler.run_mcmc(p0, 100)"
]
},
{
"cell_type": "code",
"execution_count": 311,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(30, 500, 3)"
]
},
"execution_count": 311,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sampler.chain.shape"
]
},
{
"cell_type": "code",
"execution_count": 323,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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NDSMn80ft2aMZe1GRjNSnnqpiKRs3SmA88IAMaNUtJECusoMHqxBSQDQZEhIQnRRwMVLN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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d2be250>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plots.traceplot(sampler.chain[3, :, :].reshape(-1, 3).T, [0, 1, 2]);"
]
},
{
"cell_type": "code",
"execution_count": 285,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import triangle"
]
},
{
"cell_type": "code",
"execution_count": 333,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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4qgM/xfV6fg7sMjUiERERL+ULiYET1xTFhbimJyopEBEROU2+kBi4vY56CkRERM6ItzYf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\nmMjWrVvbXP+atqAYg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"text/plain": [
"<matplotlib.figure.Figure at 0x10d2be250>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"triangle.corner(np.exp(sampler.chain)[:, 100:, :].reshape(-1, 3), labels=[r'$\\sigma$', r'$\\phi$', r'$\\tau$']);"
]
},
{
"cell_type": "code",
"execution_count": 238,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
"CPU times: user 1min 25s, sys: 353 ms, total: 1min 25s\n",
"Wall time: 1min 25s\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/shoyer/miniconda/envs/learn-george/lib/python2.7/site-packages/scipy/optimize/_minimize.py:355: RuntimeWarning: Method Nelder-Mead does not use gradient information (jac).\n",
" RuntimeWarning)\n"
]
},
{
"data": {
"text/plain": [
"(array([ 1.23891448, 8.10048967, 10.62168692, 0.18063204]),\n",
" status: 0\n",
" nfev: 261\n",
" success: True\n",
" fun: 37.328167395245714\n",
" x: array([ 0.21423558, 2.09192451, 2.36289785, -1.71129322])\n",
" message: 'Optimization terminated successfully.'\n",
" nit: 154)"
]
},
"execution_count": 238,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time gp.optimize(x, y, dims=[0, 1, 3, 4], verbose=True, method='Nelder-Mead')"
]
},
{
"cell_type": "code",
"execution_count": 240,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
"CPU times: user 3min 6s, sys: 1.83 s, total: 3min 8s\n",
"Wall time: 3min 8s\n"
]
},
{
"data": {
"text/plain": [
"(array([ 1.56046539, 16.39045653, 14.26915532, 0.19530688]),\n",
" status: 0\n",
" nfev: 240\n",
" success: True\n",
" fun: 3.9030856091079613\n",
" x: array([ 0.4449841 , 2.79669925, 2.65810024, -1.6331832 ])\n",
" message: 'Optimization terminated successfully.'\n",
" nit: 128)"
]
},
"execution_count": 240,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time gp.optimize(x, y, dims=[0, 1, 3, 4], verbose=True, method='Nelder-Mead')"
]
},
{
"cell_type": "code",
"execution_count": 242,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2.211764705882353"
]
},
"execution_count": 242,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(3*60+8)/(60+25.)"
]
},
{
"cell_type": "code",
"execution_count": 230,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
"CPU times: user 5.59 s, sys: 1.71 s, total: 7.3 s\n",
"Wall time: 5.77 s\n"
]
},
{
"data": {
"text/plain": [
"(array([ 0.99106205, 5.52956036, 4.9307633 , 0.16144478]),\n",
" status: 0\n",
" success: True\n",
" nfev: 78\n",
" fun: 54.074151929709487\n",
" x: array([-0.00897813, 1.71010831, 1.5954938 , -1.82359209])\n",
" message: 'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n",
" jac: array([-2.04826216, 0.03564178, 0.06415743, -6.16327272])\n",
" nit: 22)"
]
},
"execution_count": 230,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time gp.optimize(x, y, dims=[0, 1, 3, 4], verbose=True, method='L-BFGS-B')"
]
},
{
"cell_type": "code",
"execution_count": 226,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
"CPU times: user 4min 59s, sys: 1min 6s, total: 6min 5s\n",
"Wall time: 4min 3s\n"
]
},
{
"data": {
"text/plain": [
"(array([ 1.38389277, 11.95416739, 13.67837242, 0.18376045]),\n",
" status: 0\n",
" success: True\n",
" nfev: 190\n",
" fun: -47.084721945591866\n",
" x: array([ 0.32490038, 2.48107995, 2.61581593, -1.69412225])\n",
" message: 'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n",
" jac: array([-0.37530395, -0.03756915, 0.01593729, 3.85334124])\n",
" nit: 58)"
]
},
"execution_count": 226,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time gp.optimize(x, y, dims=[0, 1, 3, 4], verbose=True, method='L-BFGS-B')"
]
},
{
"cell_type": "code",
"execution_count": 223,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
"CPU times: user 31.3 s, sys: 10.6 s, total: 41.9 s\n",
"Wall time: 31 s\n"
]
},
{
"data": {
"text/plain": [
"(array([ 1.15243078, 7.6253213 , 8.0278331 , 0.18444559]),\n",
" status: 0\n",
" success: True\n",
" nfev: 103\n",
" fun: 46.690954763854961\n",
" x: array([ 0.14187343, 2.03147446, 2.08291464, -1.69040078])\n",
" message: 'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n",
" jac: array([ 0.11063653, -0.03858744, -0.0051411 , -1.29411941])\n",
" nit: 29)"
]
},
"execution_count": 223,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time gp.optimize(x, y, dims=[0, 1, 3, 4], verbose=True, method='L-BFGS-B')"
]
},
{
"cell_type": "code",
"execution_count": 189,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.5, 0. , 0.5, 0.1])"
]
},
"execution_count": 189,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kernel.pars"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"kernel.pars = np.array([1, 0, 1])"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(2500, 2)"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"test_pts.shape"
]
},
{
"cell_type": "code",
"execution_count": 221,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"mu, cov = gp.predict(y, test_pts)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-1.474183440639169,\n",
" 1.4262853210540014,\n",
" -1.4608981006150485,\n",
" 2.1050191635832647)"
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"z.min(), z.max(), mu.min(), mu.max()"
]
},
{
"cell_type": "code",
"execution_count": 222,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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t6dChA93WHGBxhwY4WpqRok5l07mb/B7wmKtbemfJd2NjI97EJeBomTEHUpWi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\neXrlT1wbt89g9+ZZEKnJiRQpUuSdfSx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vPzl/8RKejVULADWqXZXgpyHExcV91jXs2LGD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dt2M2zcNDb7r0i1bYH8+VAqlISFhZE3b950n/PGjRucOhHAuWHtMFRq3k+lQk4X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\nEARBEARBEARBEARBEARBEAQh8/0PTUFa8GLjYIYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a440050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, axes = plt.subplots(1, 2, figsize=(13,6))\n",
"\n",
"style = dict(cmap='RdBu', vmin=-1.5, vmax=1.5)\n",
"axes[0].scatter(x[:, 0], x[:, 1], c=y, s=50, **style)\n",
"axes[1].scatter(test_pts[:, 0], test_pts[:, 1], c=mu, s=50, marker='s', edgecolor='none', **style)\n",
"\n",
"for ax in axes:\n",
" ax.set_xlim(0, 10)\n",
" ax.set_ylim(0, 10)"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-330.51145564667388"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gp.lnlikelihood(z)"
]
},
{
"cell_type": "code",
"execution_count": 175,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"kernel = Matern32Kernel(0.5, ndim=2)\n",
"gp = george.GP(kernel)\n",
"gp.compute(x, 0.25)"
]
},
{
"cell_type": "code",
"execution_count": 170,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 104.40346741, -25.55409123, 105.87611379])"
]
},
"execution_count": 170,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gp.grad_lnlikelihood(y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"gp.compute"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def lnprob(p):\n",
" kernel.pars = np.array([0.25, 0, 0.25])\n",
" gp.compute(np.array([x, y]).T, 0.15)\n"
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-50307.0924185\n"
]
}
],
"source": [
"import george\n",
"# from george import kernels\n",
"from george.kernels import ExpSquaredKernel, Matern32Kernel\n",
"\n",
"# Set up the Gaussian process.\n",
"# kernel = 2e-4 * ExpSquaredKernel(1.0)\n",
"kernel = 1e-1 * kernels.Matern32Kernel(5)\n",
"gp = george.GP(kernel)\n",
"\n",
"# Pre-compute the factorization of the matrix.\n",
"gp.compute(x, yerr)\n",
"\n",
"# Compute the log likelihood.\n",
"print(gp.lnlikelihood(y))\n",
"\n",
"# t = np.linspace(0, 10, 500)\n",
"# mu, cov = gp.predict(y, t)\n",
"# std = np.sqrt(np.diag(cov))\n"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 10.0)"
]
},
"execution_count": 112,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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5XAHcgEJRyXnnyTEYFHz9dR3HHGMctoLtZFi/fj3r168/6PePddjlSGAF0pg+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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bfb2310>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y, '.k')\n",
"plt.plot(t, mu, '-b')\n",
"plt.fill_between(t, mu - std, mu + std, alpha=0.2)\n",
"plt.gca().set_xlim(t[0], t[-1])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import triangle"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"df = pd.DataFrame({'t': t, 'mu': mu, 'std': std})"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"samples = gp.sample_conditional(y, t, size=100)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(100, 500)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"samples.shapea\n"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"gp.sample?"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import emcee\n",
"\n",
"def lnprob(x, ivar):\n",
" return -0.5 * np.sum(ivar * x ** 2)\n",
"\n",
"ndim, nwalkers = 10, 100\n",
"ivar = 1. / np.random.rand(ndim)\n",
"p0 = [np.random.rand(ndim) for i in range(nwalkers)]\n",
"\n",
"sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=[ivar])\n",
"pos, prob, state = sampler.run_mcmc(p0, 1000)\n"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(100, 10)"
]
},
"execution_count": 107,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pos.shape"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(100,)"
]
},
"execution_count": 108,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"prob.shape"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"([array([ 0., 1., 4., 11., 24., 18., 26., 6., 10., 0.]),\n",
" array([ 0., 1., 2., 9., 31., 26., 22., 6., 3., 0.]),\n",
" array([ 2., 5., 7., 21., 18., 19., 10., 10., 6., 2.])],\n",
" array([-2.53850366, -2.07724509, -1.61598653, -1.15472796, -0.6934694 ,\n",
" -0.23221083, 0.22904773, 0.6903063 , 1.15156486, 1.61282343,\n",
" 2.07408199]),\n",
" <a list of 3 Lists of Patches objects>)"
]
},
"execution_count": 116,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x109d8d9d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(pos[:, 0:3], bins=10)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"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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