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@jamesmcm
Created August 4, 2014 09:56
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"input": [
"import GPy\n",
"import numpy as np\n",
"import pylab\n",
"\n",
"data = np.load(\"./gpdata.npy\")"
],
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"metadata": {},
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"input": [
"%pylab inline\n",
"kernel = GPy.kern.RBF(2, ARD=True) + GPy.kern.Linear(2)#+ GPy.kern.bias(2)\n",
"m2 = GPy.models.GPLVM(data, 2, kernel=kernel)\n",
"#m.data_labels = np.array([0]*40 + [1]*43)\n",
"m2.optimize('scg', messages=1)\n",
"print m2\n",
"m2.plot_latent()"
],
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"metadata": {},
"outputs": [
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"text": [
"Populating the interactive namespace from numpy and matplotlib\n",
" I F Scale |g| "
]
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"maxiter exceeded\n",
" GPLVM. | Value | Constraint | Prior | Tied to\n",
" \u001b[1mlatent_mean \u001b[0;0m | (473, 2) | | | \n",
" \u001b[1madd.rbf.variance \u001b[0;0m | 0.952712544031 | +ve | | \n",
" \u001b[1madd.rbf.lengthscale \u001b[0;0m | (2,) | +ve | | \n",
" \u001b[1madd.linear.variances \u001b[0;0m | 7.86820616629e-11 | +ve | | \n",
" \u001b[1mGaussian_noise.variance\u001b[0;0m | 0.0008257459578 | +ve | | "
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"text": [
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"`%matplotlib` prevents importing * from pylab and numpy\n"
]
},
{
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XPi6Z7OuB0cDCck+NQMlfKOh5UXp1a5V1LsIL8M97opXBEm4vr8rIOJO7HCNwOmcAVV5e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\njHfuPw/Pf7Ede4tqAHiX/n5o5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gGPXH8OJg3JItaRZRmtTg8sJu9sRfV+TgecfFvWdKhg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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f8c001b8490>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"m2.plot_latent()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"WARNING: pylab import has clobbered these variables: ['pylab']\n",
"`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"<matplotlib.axes.AxesSubplot at 0x4421b50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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PWesYSpLyPbLKupuo1PwB9zDW5U+uIj6omtQrDB/9dVoAAZPi0GRqchb94o0l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\n",
"text": [
"<matplotlib.figure.Figure at 0x441b610>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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