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@vals
Created July 26, 2017 09:13
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import GPclust"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Make 3D data with 3 functions\n",
"\n",
"N = 200\n",
"X = np.linspace(0, 10, num=N)[:, None]\n",
"Y = np.random.normal(scale=0.2, size=(N, 3)) + np.sin(X + np.array([[0.1, 1.3, 2.3]])) \\\n",
" + 4 * np.random.choice([0, 1, 2], size=(N, 1))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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AN6bv9fw7RHRaCDEW8uVFTtIybzKKwIlsBpkXXqNCslqFZBo2IQCrXLPX3KwZtnyXN6dF\n5onoIIAHcT0s+2mV5zJMeTeV3cpIuZsIHgdZMdL3Vc/2hbCcEIAnU7RvmMp7Zkc1pJFBvUvVWr2n\nR8yaYQv3fuhHtPOCvE4wMtLqCbGvSbUBJp1cmne8TnJughg3j79wVuvhyGp7ANM+XQLw7Cae5Xyd\nMLz0QTANldYbTWyaOt41NoDBetB4GTBpjTi4OTSxDWO3rVV6cbOaj8MGToK4XdXfe7fVM+7+8lJL\nOy8IQM+p0XRjSnMbefsGkk3O3rllHcanT6b+NJRV7GREk0Z7soGsXpgaAVkMR4Z9T2VxDZLEz0wm\nOydx8tkzAF03OP0a17pk+Sx+b149h+qNJjauzBP08jKmxXPFBk5CuG8OvyPv641moMGEQPo9IbLu\nnju3rEvd5Os8cmhimzYXCrieHOn2OA5bQ7jRKinzSfwYAWk2wmUEHXqoI2trkCR+h1gCnUn0bvwY\nll7J8lnE1It7eamFyefk1a1BDb8ojCI2cGLGGVIaBLs6wC9pKav3wu3aHZ8+mTtlklZ0LQ8qDtf+\n5LNnejaJpdYyllrLAK4rNef4Da8EXCdpN8LdyDbYslXCEAFXrvo/hADZW4MkcR+KbilbuHqt3ZVH\nPzgNS/emu3PLOrz8+kWt7s2yYaoqKZfRagtpC48g4yqi8oaxgRMjfvs36AiSGh4keTEteFXeMOGh\n8kY4EzTHp09KT8BO3OM3TI2brBjhTlQzhTqduP3f71lcg6RxVlZ19Ox148Y0PxG4bljKNl2T8G3W\nDVM7H8ekYKUtBPbOzmPP7Hz38KMbV6EyYqLyhrGBEyNBQ0qDUiLCFz55RyYNGxvVppt1ZZJGVN4I\n54ZraljKlGNpxZMj23SybITLEkp1g3hHyhZ+cG25TyfYawCAc84CoOrMa2LkOOU8iL7Oi2HqNBa9\nQlbuUvyRYUsa4i4RKVuXqMavDHqAjXNUQ+GJyttQIgKhozCtUm9T7rJVyrxxA6jn/+RBmaQN3SgC\nm0EMy2Uh8Ob0vX2Nx55aGRuSdVl1olonQmc2nHud7TUAkNpGnWlHN+tO13yvRIQndnd6vfhtmWCT\nlsazYTFzYtFXtKDZakMISHW1yoPbaLYwMixv2jjoAZY9ODGiS0R0ny7KVgkP3FnpSaxVYQ8bBdKT\nvR42qhBAHj5bGvEqb53ctbkvB8eN6sRsK62slNAOgqrZm7Mjs+nIB845M8MrxLpp6rhULttC9CTN\n+yVIZWHaCXIobzRbGLaGsGbY6ik40OWe2kaRzmscBDZwYkTl+rdPDbLN246F6k4TTus3z5tGnj9b\n1rC/B/eGMETAsugoe3flG1A8r1tQw5xzzoKjC7F6dZsOatzkVa6DVgcutZbRWhZ9zQFVfXbeabbw\n5IPbuYoqy3gpO9mXaW/qOpdpSptRMzlH1rNoWVxX9k4DvchetyCGOeecBUelZwF4NprUMeKqzHIa\n83mVa90IostLLW1eU6stsGd2HjMnFrvVZyqGVibEh91lmg2cmAnqhdCd3FQJWgwTNV6hFPa6BcMk\n0ZtRI5M7WasJU64nhF+vzLpxlf9RJVnD61BerdU9Z9iZVJ/ZA5Wd7xkGbOBkBJ2rkE91TFJwKCUa\nOOcsfILKZNkqgQiFzYnSHVK8uh/7IYr15CqqjDC5azOsIep73CoRn+qYxFAZ12x0D87EaAWvTN2N\nN6bvxStTd+d+I42aIDK5ZtjCE7u3KZtfsiGv3puCEPZ6soGTESZGK5j5xB0YKV9PKF4zbGHm49kv\nAWeyC5fvM1lBJqvWEPW11gA6utXZtoANeTWyvSkoYa8nh6gyBOczMGmDQylMVtAlH3vJL+dE6TEp\nhnFiDVHPoFMgmvVkA4dhmIFgw5vJCipZ9ZJfNuTNUPV9+unb1+LN7zZ9G5aDwgYOwzAMw3jAhrw3\nfg3BqNeTDRyGiQgiGgHwJQA/hk67iF8RQvx1slfFMAwTHWkyBGNNMiaiESJ6joheJ6LXiOin4nx/\nhomZLwL4CyHEFgB3AHgt4ethGIYpDHFXUbHCZwoBEd0C4B8D+H0AEEJcFUI0kr0qhokWPsQyaSI2\nA4cVPlMwNgG4COC/EVGNiL5ERDe5n0REjxLRHBHNXbyobmXOMBmBD7FMaojTg+Op8FnZMzliFYAf\nB/C7QohRAFcATLmfJIR4WggxJoQYW7duXdzXyDChwYdYJm3EaeB4KnxW9kyO+DaAbwshXl35+Tl0\n5J9h8gofYplUEaeBwwqfKQxCiL8HcIGI7M5VPwfgGwleEsNEDR9imVQRm4HDCp8pIL8G4AgRfR3A\ndgCfT/h6GCZK+BDLpIq4++DYCv8GAH8H4Jdjfn+GiQ0hxDyAsaSvg2HiQAjx90R0gYg2CyEWwYdY\nJmFiNXBY4TMMw+QaPsQyqYE7GTMMwzChwIdYJk3E3eiPYRiGYRgmctiDA6Baq/OUWEN4rZg8wHLM\nMPmn0AZOtVbHgRcX0Gi2uo/VG008/sJZANFPOs0a+6pnceTUeYiVn2VrxRsHk3aqtToef+Esmq02\nAL7nmfTDejUYhTVw3ErOSbPVxsyJRRYgB9Vavce4sWm22njs6BkAwNy5S54GEBMMlYJzG+lrhi3s\nv28rALBCVDBzYrHvvm+22jjw4kJ3TXntmLRgYpCzzMoprIEjU3JO3mo0Y7yadFOt1fHY0TN9xo1N\nWwhMPnsGreX+Z7CxODgqBTd37hJmv3qhZ90vL7XwmaPzKA0RWm3R83wg34amqZJX3duNZgv7qmfx\n/Ok6e3eY1KAyyG29KtMPe2bncfDYAvbft7XQcpt7A0el9LwMmFtHyjFdYXqRhfBUyIwbGzYWB+Pg\nsQWpgnvm1Qtoi/51XxbAclv0PT/Phqaf8KlaUiFd07yvHZNOvPSvrVdVh/XLS63CG+e5M3CcBs0t\nZQtXrl7rO8nOnbuEISLp5mCzc0ux24jrQnh+YWMxONVaHZeX5ApOJ78y8mpoeoVP987O9+kCFao1\nzevaMemkWqsrveI2tl7VyWaz1cae2XnMnFgsZNgqVwaOe1OWWb7NVhuHT533/FvPvHoBY7etLUyM\n0/35lq5eC8W4IQCTuzZ7Po+RM3NiUfm7koeR7iavhqbOK2Ovj4kXUkde145JJzMnFrXGDQAsXb2G\naq2OW0fKqHsY4EUNtebKwPHKq/FDWwjsnZ3Hntl5jCg8QUA+hEUWww0DAvDwjg25WKOk0J3OHrpr\nfV8ODgAMEXpycACgbJVyYWjKDhpRe1cInXtifPpk7g42aSXvB0ovTGT68lILe2bnMWwNwSqRp3ey\niKHWXBk4YSs6W1xUnqC8CEuYhiHQ2RBMlVLRFZkXqtPZSNnCoYltGLttbWGqqFR5NsM3lHDlanjy\n68b5fpPPdSoGs76WaYbL+NX3vYyl1jIA4IYS4aqHkVO0UGuuDBw/QhEGeREWv59jpGzh++9ek4ZH\nSkT41hMf9fwb3IPIjMldm/tyocpWCQfu7xgxE6OVvrWSGY0AMD59MrMGjy7PJihlq4TV1pAyx0lG\nqy1w8NhCptYua6iS6vNyoDRhctdm7Jmd9/WaVlvgkR0b8PLrF5X7YNFCrbka1RA0MdgaIgyR/9fl\nRVj8fo4D92/FQ3etl/5O9bgT+4Sm84wxHSZGK3hi9zZURsogAJWRMp7YvU2p6O21rTeaEFjxOjx7\nBpPPnel57PEXzqJaq8f5UQbCq/rJL/Y67r9vK8pWyddrnQZRtVbH+PRJbJo6jvHpk5la0zSiS6rP\ny4HShInRCh7ZscHXawSAl1+/iFem7sZTD27vk+u8hKn9kCsPzsuvX5Q+TkCPcrSGCDevXoXGUqvn\nhOunaihPwjK5azP2zs4bbSAjZavHa2CX1ZaI8NBd63FoYlvP82XeBO5B5A+Zl0aFbG3z0J8oLJko\nWyWpgThzYtG395dDKeGjO9zk5UBpih2CdlYFeyXL2/eJLX95C1P7JVcGjkoJCnRObCZftK3oZEaR\nVaJuvLPZauPgsQUAyHz304nRipE71BkaATo3oNugcaLaALyMyCEiVGv1zKxfmvBjCNQbTWycOt7N\n20nzevsNP4+ULdx04yrUG81utVlFcV/aBmS1VjcOC4xPn5RWGmbNcEwbOvnN8oEy6P7gPtxsnDqu\nff4QETZNHe++xytTdw987VkmVwaOSglWRspGX7RTmNwCuXPLOsx+9ULP8y8vtTD53BnMnbuU+e6n\nFY8NRLU56FB14PQqb24Lkbn1SwtB8tBsOQbSu96TuzZ79gWxIXTCqH4/y8RoBQePLRjl5OjWmD2Q\nwdEl1adVNr0I09PnpadtvZrFPSgKMmfg6CxhVUJmEMvfbTmPT5+UKtdWW0j76jibjKXBoyMz2F5+\n/WLPz04jDVC7801RKfq2EChbJa0nh0/CwZDdA9YQAQRtGWmrLdK/3gZ5coO2Jth/39aBG1zeUrYC\nv7boeCXVZwlb58oMEufsMz/I1gfotIZwb086Heq8Ni8PZ5bJlIHjZQlHGXcMcipLizUtWzenUVZv\nNPH86ToeuLPSY/QMunY6j9rkrs2eYyD4JOwf1T0AwDP8kub1njmxKDXQCMDIsNWTTzeIzMrWb+nq\nNV+VVhSgYIHp4KXDVcNl07Ypm3SCbzRbvkPxqvXZq7i3Zfe0+9rSsk9FQewGDhGVAMwBqAshfsHP\na72GjgH+EjL9MGgJepIeCZM+N81Wu5uBHxY6j9rEaAUzJxa1Bk4eTsKDyHtQVPeAVyJtmpM4dcZX\n7bP3hPpe7vXb5JH34Kbhwxhi+lHJr2x8QVrDq6a9xYLsCbL1Ud3b9j3t9ODrxhTlzXPuu0yciP45\nEf0JER0hoj8mood8/olfB/Ca3/cF1Eoujt43k7s2d1z9A5DUCdn0fcO+Pq8SZ6/3u7LSijxNpbhE\n9O99viSwvIeNToatEvWFctO07irjKw6jzO97pNlQNIGIfp6Ifo+Itq/8/KiP15aIqEZEfx72danG\nF9jh1TQRt86d3LVZWRbubh3hNd4lzl5yURPEg/NPhBCfsn8got8B8IzJC4no/QDuBfBbAD7j941V\nXhQCIq+6sf/23qPz8Br/o0qiTUrxmXqforg+nUfN67pabYEDLy7gyg+udRWb3dfF/ttRQ0RHnT8C\n2A7gPxm+diB5Dxt7vdyhQZmbP20l0GHm14Xx3ipy0j7iVwD8KwD7iGgtOjJvim3Qvyfsi9IZA2kL\nr8atc3WhvfHpk75zyjZOHc9FTk4QA+dGIroXwAUA7wfg5xt6CsC/A/BDAd5X2a9FIJirzy/dZGZN\nNUfZKuGBOyvShN2kFN/OLes8B4wmcX0mG4cshNVaFoES9ALyPSHEp+0fiOh3fbzWU95XTsePAsCG\nDf4aewVBVSk4c2IRc+cudXOwZG7sJN3XSfb1cL63OynTnayf9Q1hhe8LIRoAfoOIpgH8hMmLojbo\ndUZDWrxmzuRdd6sRN2HrXNVhMqjxV280sXd2HnPnLmnbgaQZTwOHiB4RQhx2PPSvAewGsA0dI+dX\nTd6IiH4BwHeEEKeJ6GcVz9Eqe12/lrgseNUp2MbOZXli97ZU9MWp1up4/rQ+tJCUpe7eOPww6HRo\nFRJ5/y3XU/6j4d/xlHcAEEI8DeBpABgbGwuzWa8Wr8RzlRs7zPvMb2+QqPLrTEjyvaNGIvPdpCMh\nxBQR/Zrhn4rUoFe1CpCFV5PAfU/pbuY4k6MHyR8VAA6fOo/Dp85n0qNj4sH5RSL6CQCfEUK0hRBL\nAA57vUjCOID7ieijAFYDeA8RHRZCPGI/wUTZq/oAxGnB28pu09RxqRC/1WgmqhBNE8oA8x5BUeFs\nsjZoeW5IuOX9DecvhRCXDP+Op7wnSdABq2HdZ2kLgYVFRht+umX+z5y/FEL8V68/EIdBLztcpqmK\nSnVP2U0nk5IJPyFWHXHdo2HeQyYGzkcAfB7ASSL6uBBCPg/BAyHE4wAeB4CVG+A3gij7JGPxblSW\nsWoTUA1BHPTLdP7dW8oWrly91i2p1Rk3acoXcIcgvAyzNcORVVilSt6jIqgnJui8NzcmFZFZI8NG\nWxgyH4tBLzs4Vmt1bD/4UuJGj+qeeqfZwvz+cCv9/OAVdfBD1Pdo2PeQZxWVEGJZCDEF4IsA/hcR\nPUpEP0mkf4s8AAAdEUlEQVREw77fLQS8KnPiRJe57iaqIYjuv9totrQN3WxKRImtm4qJ0Qpembob\nb0zfi2WNcWPXAUVR3ZM2eY+KoJ6Yw6fOY2MI665ymactWdQPOqMtzYQh80KIx4UQ7xdCbATwKQAn\n4zDo7dJx58Ztl47HVfVnVxuqNFYa8oMmRiuY338Pnnpwe8/e+ciODShb/oqpo7xHw76HjJKMV9yP\nnwZwFcCPA3gEwFYiuiyE+Ed+31QI8VcA/srv62zSEg83TXys1up47OiZPo9EGEMQg4QaBu1QHAe6\nuLHA9YnOUZyS0ybvUTCo23qQda/W6soEzDRsBkFRKf4sGG1hy3xceJWOR63jvELrafKSA/K989DE\nNm3XZTdh3qOyjsoygt5DJknGbwD4BoAnhRBfcf3u/YHeNUd4GVv2DeDVe8CJyZfpRyDdpN24ATob\nsOngwzDdpkWRd5lx7qwIMpHWoOs+c2JR+vcJ2R6oGEbIOon7MmyZj9Og9yodj3qNdQfMLCXluqsr\nH3/h62iuDJZ2UhoKL6Fb1VFZRlCjyigHRwjxuuwXQohvB3rXAhHEw+L1ZQ6SkFsZKWfmhjMdfAiE\nekoujLzrjPPx6ZNGxrOqFbxsU/EyygVSn6uixSQ/0D1qwCbhfJ3MyrzO03tL2erL59gzO4+DxxZC\ny9FR6R0CMjvJe2K0gseOnpH+bnlZ+Fo33WgN071xEC+Yp4GjEnzGDN3GKxuCaPJlBq2ASZu71AvZ\n4MOoQxss7x1Mp3e7112VJDh37lJfbyg3lQyHpwCzOUq6NXV6xNyFA0QIbd6WmyzLvEpOhwj43rut\nvgGUQCe8HVZ/F79eu6yg8qb4KXvzGq1hcigd1AuWqWGbWUR1A5SIMPOJOwD4r6IK4q3IkrvURhVG\nSVMTxbxir73KVQ3I112VJPjMqxcyU9E3CDqvmCpfxEl9JaziNBKd3p4MVWbFgqxCaNgaQmtZaIst\nBIAjp85j7La1fR28/ejjNFX1hokqH6ZEZLxGB48taPOjvPrzhNHChA2ciFHdAE/s7pwcgsSH/TZu\ncg64zBqyDWPstrWpyF3IO84eRbIuvrJ1VxnfOuMmjRV9UWByz5aIPD20WS+nDxu3jjANr7o74O+r\nnsWRU+e7XgovY9K+L5qttud9kTUeumu9tPv9jh9dY1TGXa3VtekF9UYTIx7DlMMwEtnAiRiV2xpA\n4Hp/Pwm4QP4UYlqq6IqCn/UO0jV1WfiL62cRXeWYk7YQRh7aLFRmJYWftbGfW63Ve4wbm2arjT2z\n890q2IpCf7eFyPRB0o0durM9ryUiPHTXerz8+kWj/lUmZd1ePXnCWEc2cGJAtkHIBqCZGiK6kRUq\nWCEyUeJnBo+brOcrmKCqHHMzUrbwzrstzwUswpoFxY+Rba+j1/djeyDt+UzDN5Ry16jSzaGJbX05\nShunjkuf695fBt1vSkTeTzKADZyEGLRnhmpkRdommTP5RNc9W0CdDO4mD/kKJpjc19YQ4XvvtuDV\nUaIoaxYU0x5PznX0syELAFeuyv92ng+SfvpXDTL/CuiEyMLAXwtDJjRUBocAMPq5lzy7cKq6KD90\n13rj7soMEwST7tlexk3SXcjjRnW/l4i6a3Hz6lXSqh8AICremgXF2e0euN753MmaYatnHcM6AOb5\nIOmnf5Vsf1JRtoa6HpsSER7ZsSG06eXswUkI3SnDWUqnUmS6klROwmWi5OCxhYEG9yU94DUJdMUG\n9r2pcv8DAATwxvS9UV9mbnA3rvPSh6ZtEXTk/SCp8k7Zydp7Z+f71tded92qPrH7Q5HtT2zgJIT9\nhcpGOABmrcZVyZ+chMtEhVd1hJORsoUfXFvOXQltEEzGuuha1efZMxA1JvrQb2NRIPkp4XGjCjsR\nrlcIuotl7PVQVbaNlK1I14wNnASZGK1gryZZOM/xXCabmA69K1slHLh/a/c1RdkEdHhttLpS+iIa\nhVHj9uz4MW5s+S6SLMu8kLKcHFmytcqDaeuIqGADJ2F0yVh8amPShs7oXjNsSbvtFmkTGARV4UDU\np9wiIuu4rUqgdZZIF9lQl3khVXuXW0+YDqYOGzZwEkYV+7VK4Q01Y5iwUCm1kbKF2mfvSeCK8kNS\np9wiImumKKv+c+dJFR3Tpoqyw3kSqRNcRZUwE6MVzHzijp6ujmuGLcx8/A6+qZjUoare4014cJzV\nP1wxFS26hFlef3NU+iAth3P24KQATgpmskJSruaiwLogHlSeyCJW+A1C2vUBGzgMw/iCN2Em6+R1\nSGYSpFkfsIHDMAzDFIq0ex6YcGADh2EigIjWA/jvAN6HTmj/aSHEF5O9KoZhbNLseWDCIbYkYyJa\nT0QvE9E3iGiBiH49rvdmmAS4BuAxIcQHAewA8G+I6IMJXxPDRAbreCZtxOnBsRX+14johwCcJqKv\nCCG+EeM1MEwsCCHeBvD2yr+/T0SvAagAYHln8grreCZVxObBEUK8LYT42sq/vw/AVvgMk2uIaCOA\nUQCvSn73KBHNEdHcxYsX4740hgkN1vFM2kikD45K4bOyZ/IGEd0M4HkAe4QQ33P/XgjxtBBiTAgx\ntm7duvgvkGEigHU8kwZiN3B0Cp+VPZMniMhCR9aPCCFeSPp6GCYOWMczaSFWA4cVPlMUiIgA/D6A\n14QQv5309TBMHLCOZ9JEnFVUrPCZIjEO4BcB3E1E8yv/fTTpi2KYqGAdz6SNOKuobIV/lojmVx77\nD0KIL8d4DQwTC0KI/43O7D6GKQqs45lUEZuBwwqfYRgmv7COZ9IGTxNnGIZhGCZ38KgGhmEKS7VW\n53lEDJNTcmvgsOJi8oRbnnduWYeXX7/I8m2AShdUa/WeidL1RhOPv3AWAHgtGSYH5NLAYcXF5AmZ\nPB8+db77+3qjib2z85g7dwmHJrYldZmpwWnQ3FK2cOXqNbTaAkCvLpg5sdhdU5tmq42ZE4usJxgm\nB+TSwNEpLvv3fBKOFvaghYdMnt0IAEdOncfYbWsLvc5uY7DRbPU9x9YFbzWa0r+hepxhkoL1aTBy\naeDUFQrKPukKx8/ukzB7etR43WT27+uNJgjoWWde1+CYbrgCwGNHz2Dv7HxhlaCJMQigK8MyXTFE\nhGqtXri1Y9KJzIPLHlszcmnglIjQFkL6O/mj12m22j2bRFE9PPuqZ/HMqxfQFgIlIuz40TX42vl3\nlGE/903oXmd7Xe3nM+aoNmIZttwX1ag0NQbte9kpszZtIQq5dkx6cB4mhyT7GXtszcilgaMybvy+\nvqgenn3Vsz2fuy0EXvnWpb7nOfMVTE7OvHEEQ7URe1HEfBITY7BslXoOKo8dPdOnM4q4dkw6qNbq\nmHz2DFrLHZnUHdadaRf1RrN7uK8U6DCuI5d9cCoj5cj+tjOXJ49Ua/Ue48YL+8RsenLO+/pFwcRo\nBU/s3obKSBmEjnx/4IdvMnpt0fJJJndtRtkq9TxmDRHWDFvdtXti97au4p8YrWBZsYHUG02MT5/E\npqnjGJ8+iWqtHvXlMwWiWqtL5evAiwtd48YL+9BtG/VuD27RZTaXHhzZideZEzIoed00qrU6Jp87\n4+s1t64Yk37CKHldvyiZGK30nMbGp08ave7WCI39NGKvkZ+ETJ3s2o8XxXvLxMO+6lkcOXVemqco\nS4xXUSJSenZlXsiiJSvn0oMjO/E+vGND38mOAIzfvrb7vBKZdRm/pWyFfs1p4OCxhW45rQm2qx+Q\nn5xV2EmcTHBMjEQCut9PkZgYrWBy12bcOlLGW40mZk4sauVt55Z1Rn+XvY9MGFRr9R7jxsavfJWt\nkmc6hlNP2HmS9UYTAsXw8uTGgyOzTF+ZurvnOWO3rfWsAjLJdbhy9VouqywuL+lPDuO3r8Wb321K\n18/+/57Zed2fAMC5OGHg5TEjAA/v2IC5c5e6OSYlIjx01/pcVF7oTqJ++mBVa3U8f9pcwbP3kRmU\nmROLymhCvdEEESCzW4atIay56cYembdzb1Q4PbhF7PuUCwPHnZRVbzSxR1JG53bzu7F/9/gLX0ez\ntax8Xqstci0UMh7ZsUG5MTo3G10Fm5Nmq40DLy4Uag3DRBeGtRMM585d6ksWt3/OspHjZcD4UeSm\nZeU2RQv5JUlewyleoXyZ+rRKhM/v/pD086sO5U4PO6A2zvNstOfCwFElZR0OWEb3rsa4sbETEPOU\nuT5StqTx35GypTVunDeYnwq2RrOF0c+9hMZSK1cKLA5Mck3ssnw3h0+dx5FT5zO75l4GjB9F7ke5\nuzcMJ3ndjJMir93o/YSDSkRYFkIrT0494NyLRsoWiIC9s/OYObHYDdnKjKu8plwAOTFwdElZOk+L\nTCnp3IdOCNct8bz0Hjlw/9YeTxjQqUA5cP9W5WtUJ2Dnzbl09Zoy/GU/nvW1SwIvj6TO2HTG4O2/\nlRW8DBiVIpd5X1TPtcN5sh5Ysrlgz5+u524zThKVEbtndh57ZuexZtjC/vu2Zm59/eTYLAuBN6bv\n9XyeWw+ojMMH7qxg9qsX+pwB9kEzi+vpRS4MHB0qZagSAhN3ta4iy74Jbas5jQKjOm0GqUBRra/z\n5qzW6ka5OdwMMFxMwoVZrLTwMmBk4TuV90X1XGcpuROZ3tAljKZp3bKEl2ft8lJLmoaQdvx4DIOG\nQ1XG4cuvX8TNq1dJD5uXl1q5NMoza+A4lbAqKQtQC4lKCLw2hYphOXRaT3Ferl8vr4Abk9PyxGgF\nB48teCYxA5yAHCYP3bXeqKfRW41mpsZsTO7ajMnnzvRU/Fkl6howfgx1v0a9TG+otEWecxuixrTt\nxOFT53H8629nxvtg+rl04VAvguba5NEoz6SB01ftpNAwTqXnRvVlt4VA2Sr1JW8+7EiytXNvvEij\nwISdSW96Wt5/X3/4S0Ua1y2L2PJqj9xQsdoa6pnRljZvhCwk1HeRrp/9GOp+nuvHaBHo6Iq0ecCy\ngJ/u3Wn3Prin2w8R4KUGVR5EE7wOnbq9K29GeSb74KjyPpxdbNYMW5j5+B1KIVF5duxOp84eOk8+\nuL3HDeqn50vaBCbsTHpZzyHZzTkxWsHNq83taff1qLp+phki+jARLRLRN4loKolrODSxDd964qPa\n7t7N1rJn3llScizr3XHk1Pk+Q7m1LGLpUeM3bFCEXiNOwpJ5p14xwa7KTBKZjnLLb6PZQokIw5Z6\n631kx4aBDDXZ/mQfOid3bYau21veqgRj9eAQ0YcBfBFACcCXhBDTQf6OTtm+aZCUBeg9D6bl5F49\nCID0TSb2k4BpiukJuGEQopJdTxYrKoioBOB3APw8gG8D+BsielEI8Y0krmdQAyVuxecMmblJMiSk\n8yyocvOykJcXBmHLvK1X3G1AVDSarcR0rUpHrbaG+mSltSzww+9ZjW9M3d031DiMPlVeYVddPmTe\nGoPGZuCEKfxhbNJBEmrdr58YrWDT1HHt6TctOSWqHAtgsHivH1Tfm/t6rCHC0tVr2DR1vFuFlcEG\nVT8J4JtCiL8DACL6EwAfA5CIgeNnlIabuOTDxrThpps4jDDdgE4vL1gWDPMBiUTmTfuTAfqq2ShR\nhf5VMmwb44cmtkWSJK07dKrySEfKVirkMswihzhDVF3hF0JcBWALv290Ljg/TIxW8MrU3Xhj+l68\nMnV3oEU0UapJt3jfVz2LvbPzXaEWuB7OU4WUokD1vT28Y0M3xDVStrCMTlzdDkmokpPTFv5zUQFw\nwfHzt1ce64GIHiWiOSKau3jxYmQXoxpC6UWc8mHjt/keEK8RphvQ6UXSuiBiPGU+qLxPjFbw2m9+\nBE89uB0jmr4tSQxIrdbqvg8PSYaCVHpY1w4kLsIeJxFniEom/Hc5n0BEjwJ4FAA2bNig/EODel/C\nxDQZLskcBlkZq93x1j3OIkpMvrfRz72EtuEk3TzEi4UQTwN4GgDGxsbCmgfbh2ztdf2JdJ2ro8bk\nXhmiToOypJpE6jxiXoN9U26YR8qg8m57JkY/95JUdp39yeqNJvZGXEpub8h+iNsj6iZN+6ebg8cW\nQvXWp6qKyo/w+y1njgrTfJykKip0jQuTULRe35tJKblNY+lqqvKbXNQBrHf8/P6VxxLDvfabpo4r\nnxu3ceN0Sw8Z9O9ZFsDwDatQ++w9MV1hL7qDje0hVX2CPBjmCmKT+f33bVWOKnEiABwJ2NHeBNmG\nrKNEFLtHVEZa9k8n+6pnQ/fWxxmiSp3CDws71OWV8W/PyBr93EuxVVXoBCPrivbK1TYmnzuT1gqV\nvwHwASLaREQ3APgUgBcTvqYedJWEceJ2S5uO+0jSE+JV5SPQCbeGEUrPELHJvKx6UyU1AvIOwoNW\nZlZrdV8HMqDTADVthoWTpKpV7UiDiqB7VZwGTuoV/qCYlo/bfRviEB6VYBDSmTGvi6/LsAefpg0h\nxDUAvwrgBIDXABwVQiRbx+rCTy5blIrPK+emRPJcoaQNdPtgo8pkajRbuHHVdRW7ZthKxek9KuKW\neXcOpc4wl7WdGDTXI4jeSVpmdYSd/+IHrxFJQfeq2EJUQohrRGQLfwnAH6RN4Q+KO7ap+8Limqat\nmjr98IC9FqJCNg/Li7TmNAghvgzgy0lfhwrTWHzUZfpe399Dd63vmfUEpMsTosvHcc7J8xrim/YR\nGSYkKfOTuzb3NKx0IgBsnDqOykqjSFnzS12uh6zZpN/E4rQeKm1UlWAHXlzok0v7+YPIqnNNddp+\nkOouEgGrAaJmbGxMzM3NJX0ZA2HS8TiOoXFZU5zVWl1ahqvCnSxNRKeFEGNRXV9UpEHmVQNoZXIs\nS1I3kTX3c3TJzvb72NeRRhmu1urKjdWNKrFfVhqvm4nlJosyH4W876uelRZVmEJA34DLoG0LZJj2\naUsCr5YnNtYQAYSeUSl+ZBUAHv69v8Yr37rk+TwC8OSD2/v+rqm8pyrJOG/s3LLO82a7vNTC3pUJ\nuRWN4tZtHF6bShoTynRc73vhrVR04zgYf/gdQKty++s8PbLneMXJ32o0Uy3DE6MVo2GyQOfzbpo6\njlvKFojQrQLLaK+n1HFoYhvGblvr64DkRNaYNUjbAhlx57b5xbRXlsy77kdW91XPGhs3g0Ya2MCJ\niGqtjudP140sYq/BhrqNA0Df76IujYwDWfhk55Z1+PMzb3fd/nF4v4qE3wG07nwC3Zwz+/cyBaoP\n3KQ7b8HGdAgvgG7Lfhvd6+y+LmnyWKWdidEK9hoanG7cjVmD9LiRkaaQqgo/879kmKYKPPPqBe3v\nCQjNS8sGTkQEtfqbrTYeO3oGe2fne0IEso1jz+y8dPOJujQyLmSn9iwbbWnHzwBamcJWvd42uoOE\nDbLioRt0c9BRgA7IoTNI526nUe6nx40z/Ji1tADAf68sN7KDiGwddJ61sHuzsYETEYMkvtoC4BUi\ncD7XjV0amfabikkPqk1BlQMDdPLM7MdGhi2lMgxi3GTJQ+dnPl0Q7IOP870YNYManPVG09ch1W3w\npzmkqsN93ab5R7IDjyzy4BXKDfswwwZORAxygnAyyIkwrdVFTDrxM4BWprysIcIQdZrwDUrcXbbD\nwF4jk+KCIKRlrl0WcBuctqdbFW6V4ec7fODObBo0Xtif6cCLCz1hVTcEgYPHFjwjDzrGbw8/4sAG\nTkRE6bI2JQu5C0x6MCkbr9bqSmXnp7TfiyyEpVTI7n1Z5UkQOPHYHJkXRde9exBefj26OXJJMzFa\nwcyJRa2Bs9RaxtJKGwQTT42TsKaoy2ADJyJMLV8nfk4XXmQhqY1JHzrXerVW992jSMdNN5Rw5Wr/\nASAtU42DojIUnY/ZVVR+O+EC7JkdhLA8627y/p1E8flkJflhwwZOhNibhWlDoy988g5flq+T8dvX\n4s3vNjOV1MZki5kTi6F6aazSEMoW+kJiaZhqPCgqQ9H9WJBw1siwv27fzHVUjU9NpVpllOfdWx6F\nYRjHmsU5qqGwOFuKq3oh2O3e1wRUXm9+t9nTtpyNGyZswj7FvdNs9c0TyvMoAxlBvKwp7c2aCWQz\nrB7escFoxE5lpIzf+mfbijZfDID5GCJT4loz9uDEjKqduF31tP++rYG8OHl3kTLJE/Yp7taRcmar\nTcJiYrSCg8cWfIWq3jEMeTNyZDI3dtvanvDhlavX+jr1Or3iWSsBHxT35wbMvV4lInzhk3cksmZs\n4MSMruup3bE1iIGTdxcpkzyTuzaHloNThFOvKfvv2yqtXlttDUkNH77Xw0dWJajakItqlDs/t59k\n7fbKBPUk1owNnARQdT21FZeuK+r47WvxtfPvpHbwIJNfZInzpmXh1hDh5tWruqMJinDqNUWXlKwq\n22eipahGjCl+vLlJjqhgAycBdP1GVL+353IcmtiWyS6ZTD6QnXRlXp0hAm4pW2zQGKLbUPleZ9KG\naRuUpA1yNnASwCuOa/J7VnJMGpB5dbLUgTjt8L3OpBFVI8UR1xDZpA1yNnASwktxsWJjsgLLKsMU\njyzc91wmzjAMwzBM7mADh2EYhmGY3MEGDsMwDMMwuYNESttiEtFFAOcUv34vgH+I8XLSCK+Beg1u\nE0Ksi/tiBoVlXkvRPz+gX4PMyTzLuydFX4OB5T21Bo4OIpoTQowlfR1JwmtQrDUo0meVUfTPDxRr\nDYr0WVUUfQ3C+PwcomIYhmEYJnewgcMwDMMwTO7IqoHzdNIXkAJ4DYq1BkX6rDKK/vmBYq1BkT6r\niqKvwcCfP5M5OAzDMAzDMDqy6sFhGIZhGIZRwgYOwzAMwzC5I3MGDhF9mIgWieibRDSV9PXEDRG9\nSURniWieiOaSvp44IKI/IKLvENHfOh5bS0RfIaL/s/L/NUleY1QUXd4BlnnHY7mXeZZ3lnfHYwPL\ne6YMHCIqAfgdAB8B8EEADxHRB5O9qkTYKYTYXqAeCX8I4MOux6YA/KUQ4gMA/nLl51zB8t4Dy3zO\nZZ7lvQeW9xDkPVMGDoCfBPBNIcTfCSGuAvgTAB9L+JqYiBFC/E8Al1wPfwzAH638+48ATMR6UfHA\n8l5QCirzLO8FJSp5z5qBUwFwwfHzt1ceKxICwEtEdJqIHk36YhLkfUKIt1f+/fcA3pfkxUQEy3sH\nlvkOeZd5lvcOLO8dBpb3VeFeDxMDPyOEqBPRDwP4ChG9vmL9FhYhhCAi7neQX1jmXbDM5xqWdxdB\n5T1rHpw6gPWOn9+/8lhhEELUV/7/HQB/io5bt4j8XyL6EQBY+f93Er6eKCi8vAMs8w7yLvMs72B5\ndzCwvGfNwPkbAB8gok1EdAOATwF4MeFrig0iuomIfsj+N4B7APyt/lW55UUAv7Ty718C8GcJXktU\nFFreAZZ5F3mXeZZ3lncnA8t7pkJUQohrRPSrAE4AKAH4AyHEQsKXFSfvA/CnRAR0vrs/FkL8RbKX\nFD1E9AyAnwXwXiL6NoD9AKYBHCWifwHgHIBPJneF0cDyDoBlvjAyz/IOgOU9VHnnUQ0MwzAMw+SO\nrIWoGIZhGIZhPGEDh2EYhmGY3MEGDsMwDMMwuYMNHIZhGIZhcgcbOAzDMAzD5A42cBiGYRiGyR1s\n4DAMwzAMkzvYwMkQRPQvieh3HT8fIqL/keQ1MUyUsMwzRYLlPVy40V+GIKJhAIsAtgH4GQC/CeCn\nhRDNRC+MYSKCZZ4pEizv4cIGTsYgov8M4CYAHwHw80KIbyV8SQwTKSzzTJFgeQ8PNnAyBhFtAfAa\ngI8JIQo1iI4pJizzTJFgeQ8PzsHJHp8FcBEZG5TKMAPAMs8UCZb3kGADJ0MQ0WMAVqMzVfXXE74c\nhokclnmmSLC8hwtbiBmBiO4G8MsAfkoI8X0ieg8RbRdCzCd9bQwTBSzzTJFgeQ8f9uBkACLaAOBL\nAD4hhPj+ysNfBLAnuatimOhgmWeKBMt7NHCSMcMwDMMwuYM9OAzDMAzD5A42cBiGYRiGyR1s4DAM\nwzAMkzvYwGEYhmEYJnewgcMwDMMwTO5gA4dhGIZhmNzBBg7DMAzDMLnj/wOTfck7TGYRIwAAAABJ\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117e7a828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(8, 3)\n",
"for g in range(3):\n",
" plt.subplot(1, 3, g + 1)\n",
" plt.scatter(X, Y[:, g])\n",
" plt.xlabel('$X$')\n",
" plt.ylabel('$Y_{}$'.format(g))\n",
" \n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(200, 1)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X.shape"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(200, 3)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Y.shape"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# Create an OMGP model\n",
"\n",
"omgp_model = GPclust.OMGP(X, Y, K=3, variance=0.2, prior_Z='DP') # Put K = 3 trends\n",
"omgp_model.hyperparam_interval = np.inf\n",
"omgp_model['rbf.*.lengthscale'] = 10"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<style type=\"text/css\">\n",
".pd{\n",
" font-family: \"Courier New\", Courier, monospace !important;\n",
" width: 100%;\n",
" padding: 3px;\n",
"}\n",
"</style>\n",
"\n",
"<p class=pd>\n",
"<b>Model</b>: OMGP<br>\n",
"<b>Objective</b>: 17988.8366142546<br>\n",
"<b>Number of Parameters</b>: 7<br>\n",
"<b>Number of Optimization Parameters</b>: 7<br>\n",
"<b>Updates</b>: True<br>\n",
"</p>\n",
"<style type=\"text/css\">\n",
".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n",
".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n",
".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n",
".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n",
"</style>\n",
"<table class=\"tg\"><tr><th><b> OMGP. </b></th><th><b>value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n",
"<tr><td class=tg-left> variance </td><td class=tg-right> 0.2</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf.variance </td><td class=tg-right> 1.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf.lengthscale </td><td class=tg-right> 10.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf_1.variance </td><td class=tg-right> 1.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf_1.lengthscale</td><td class=tg-right> 10.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf_2.variance </td><td class=tg-right> 1.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf_2.lengthscale</td><td class=tg-right> 10.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"</table>"
],
"text/plain": [
"<GPclust.OMGP.OMGP at 0x1180b37f0>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"omgp_model"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.11533516, 0.1968294 , 0.68783544],\n",
" [ 0.30298936, 0.09720126, 0.59980938],\n",
" [ 0.03515072, 0.81795972, 0.14688957],\n",
" [ 0.64855952, 0.33027263, 0.02116785],\n",
" [ 0.4543986 , 0.13610158, 0.40949981],\n",
" [ 0.66811775, 0.15240088, 0.17948137],\n",
" [ 0.19753005, 0.42261975, 0.3798502 ],\n",
" [ 0.14731855, 0.78263038, 0.07005107],\n",
" [ 0.19653164, 0.13748252, 0.66598584],\n",
" [ 0.28264396, 0.27237699, 0.44497906]])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Look at assignment probabilies for first 10 points without fitting\n",
"omgp_model.phi[:10]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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kA6emMkkdSJYviSmj+9O9W8u7LE8e3Z9H3/ZjWDaW7bYD8G2rRuoqoZP7N1k6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m/xxGMhRArwNnBDA30qFmEVB6oRQpwKvAf02nMbUsqngKcAhg0b1qrz0PvjhGMPZ9zovkSj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\nh6NOGcxFo0biVFViOSaVQwWxDBUiM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"text/plain": [
"<matplotlib.figure.Figure at 0x1180a6d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot probabilities for each 3D point before fitting model\n",
"\n",
"figsize(8, 7)\n",
"for g in range(3):\n",
" for k in range(3):\n",
" plt.subplot(3, 3, 3 * k + g + 1)\n",
" plt.scatter(X, Y[:, g], c=omgp_model.phi[:, k])\n",
" plt.xlabel('$X$')\n",
" plt.ylabel('$Y_{}$'.format(g))\n",
" plt.colorbar(label='Trend {} \\nprobability'.format(k), ticks=[])\n",
" \n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" /Users/vale/anaconda/lib/python3.6/site-packages/IPython/html.py:14: ShimWarning:The `IPython.html` package has been deprecated since IPython 4.0. You should import from `notebook` instead. `IPython.html.widgets` has moved to `ipywidgets`.\n"
]
}
],
"source": [
"omgp_model.optimize(step_length=0.001, ftol=-np.inf, gtol=-np.inf)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<style type=\"text/css\">\n",
".pd{\n",
" font-family: \"Courier New\", Courier, monospace !important;\n",
" width: 100%;\n",
" padding: 3px;\n",
"}\n",
"</style>\n",
"\n",
"<p class=pd>\n",
"<b>Model</b>: OMGP<br>\n",
"<b>Objective</b>: 3201.475250602439<br>\n",
"<b>Number of Parameters</b>: 7<br>\n",
"<b>Number of Optimization Parameters</b>: 7<br>\n",
"<b>Updates</b>: True<br>\n",
"</p>\n",
"<style type=\"text/css\">\n",
".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n",
".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n",
".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n",
".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n",
"</style>\n",
"<table class=\"tg\"><tr><th><b> OMGP. </b></th><th><b>value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n",
"<tr><td class=tg-left> variance </td><td class=tg-right> 0.2</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf.variance </td><td class=tg-right> 1.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf.lengthscale </td><td class=tg-right> 10.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf_1.variance </td><td class=tg-right> 1.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf_1.lengthscale</td><td class=tg-right> 10.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf_2.variance </td><td class=tg-right> 1.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> rbf_2.lengthscale</td><td class=tg-right> 10.0</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"</table>"
],
"text/plain": [
"<GPclust.OMGP.OMGP at 0x1180b37f0>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"omgp_model"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 9.94485110e-01, 4.74222986e-03, 7.72660226e-04],\n",
" [ 9.94850470e-01, 4.38997167e-03, 7.59558370e-04],\n",
" [ 6.02296873e-03, 9.91615756e-01, 2.36127482e-03],\n",
" [ 6.04248197e-03, 9.91581721e-01, 2.37579676e-03],\n",
" [ 1.31105424e-03, 4.75124508e-03, 9.93937701e-01],\n",
" [ 9.94841503e-01, 4.38356122e-03, 7.74936262e-04],\n",
" [ 9.94633643e-01, 4.57075962e-03, 7.95596909e-04],\n",
" [ 9.94828036e-01, 4.38238220e-03, 7.89581901e-04],\n",
" [ 9.94946537e-01, 4.26513155e-03, 7.88331796e-04],\n",
" [ 9.94606262e-01, 4.57803790e-03, 8.15700068e-04]])"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Assignment probabilies for first 10 points after fitting\n",
"omgp_model.phi[:10]"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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1pNX7oSDPaJihLJipoRrELH/FmgMmj/DevR1wQeGViL1LUucRxw5ArO8Uovxxq2ZWElhz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mNTzpuVq3rPj+S0IYUlhZxxx0mcccdJbd2UVsGds82O6EXEVNXUUpzmSYkBw7bi4dm38+bD7/PX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\noDmYHmr9i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7aik/PVWvF13+Hka49m+MmZD42Mx/BRw1wjR4xGXv0N+e37eJFtjZFm0n5H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5ktqZO79e/wnL19+MfZ8BX3Ryqq6BUxNgKxi+4XhzHCfIbTLi3Qaz8H7w71d9/Nh2QNVFVwmR\n39GS6xPvU0EitV8NYKnqnar6kap+WvVKsPsHgLuwu+ojgYdpxohje9J7SzjhiiPwxxrsDkKq1VKe\nvOkFimOiWUrXl1G8pgRV5YErnqR4TQOlaRS6NNGwShrWCohbe03R0BKsdf/G+msAumo3dN2p6OoD\nsNaegtaJHlQNouo8pD6e3pOo+aToHdq/5jt378SpN55IZiNJWH//fjkXDL+c4/ucxYUjp1C6vsES\nSnG589yZBCtCVZkqa33ny/By8jVH48tIRn2/GsTcBF+3+RhZ48AoRCUPS3JiyvY0srEGEE/vuF9Z\nVgCrZDrWuvOxymZhVbyCFk9G2IAQadiY0sajaVOsd2im5h1FV4nIQcCp2BnkhgAnAANEZJ2q9nWy\nj9YgMyeTC+4azwV3pS7i8fhLD+P/Tt+H7+cvoaAoj347bsG5u15GZXkAJ7Z2JGSRU1BTEPG3su95\n9o//cHyB3cvMqJ7gjb8vRRFzM/yd7kjC2STGyNgfK/ByzbHjptMPQ+WrkO8g6MjZcObz0bDVOcR0\nv+Nlw4whU1XfFBFRu57JlSLyOTDZyQFjaS96bwmjjtuDknWlPHjFEwQqgoSCETw+s8EoxSoM02DJ\nwl/puVV3bvrHdL79+EcQITs/i7LiygYjTUyPwZC9B6bqdBrH7A0aL2+VgVjLIWBnRreN92gaiuAn\nsOFi1OgCwY/tNA5aDJhoxn5I3pXOss06T2vfVM0nTe/QMTSf2zkHfm74+4pSOyjnq3e/5YhupzL5\nqQvZ7eDEPtWRcITfv6tK+lc9R2V/FOGqORPpN3jzljW+AUT8ePOnQP6U6mWWVYJVNhvK7iJeeDkA\nRhFidq+32Ap+DmuPp9rnMvBK9J0Fce/tVfgh44DEDU6d3qGZmnfiePwr8C1wm6rOq/NdE5JTdBzy\nOucybP/B1Z+L18bpFWjUKIi54Xu8JgN224rO3TtVL3t75XNs6VtKSA38YuGLprm30FrZMKsQzwAy\ni16ISeyXWiRjHyjOjjqhNYLD5GqNDF/Gcmr0b+zwl71orAAAIABJREFUpWJ74DdEQOzQnJ9E5Bzs\n0MIml4nfmPQ+9uwxHHT6vmxYXUxmXhbffvgDD019iu8+/rHBbSxLKeiax7/2upLVy9dWj15uWFMa\n1Wr9m5yIcPxlh1Znf21txMhFssah5bOoGi2122lWp0Ww6jnaByDwup2rpFYKBwsqX0PDS6Gzg1w+\nzvQOTdd8UvQOHUfzR0w4iBtOupNIvOnSOkRCEaYcchOn33ISux+6M3eccx8L31iMx2cy6tjhnH7L\niWTn2QNZhmngz86gsrQqcrnmXlfQJY/Bo1rXeDeMXIzcMwkHP4LQx/FXsv4ivGpvJPMIjOyTEfFj\nhf9G1x5b6wqNlnROcEQvePogWSckbFsK9Q7N1LyTJ+UYVf0+3hequize8o2NXQ4cwkv3zLN9EWK8\n7Gsh9vzxZbNrByqsDa5gqH8tJerFr4HqZ0SkqrxCjPFgeLchs/MjrWbggO31bxT8F2vdOdhlJaw4\n40weyNgn8c7U2UWgqo2m9m6A87EzHJ4HXA2MAsY1Yz8bld5Nj0nhJrbRveM+gxg0YhvG9TufVcvW\nxF1/8+16sXrZWkrWlTYcvltnNCczN4ODTmthOZAWYuRehGX2RMvvBWsdeHfECH0Luiaur1lN2dB4\nD8wQRH6B0Ffgq1fFoAaHeodmaT5ZeocOovkRR+3GkoW/8uQtL8StVh6PGRfP5oErnqh2XI6EI7zy\nwFu8/cSH5HbKoVf/Tem9bc8Gs+cfdr6D0Y1U4R3SsJGDBZHf0NLpRIIfYXZ6GGvtidX37UbKN9dC\nAck4EMm/pl7G8Xgrp1Dv0EzNO/HJiSt+lxqOnXQIeUW5+DK8RD3RolG5MaaA2vlDcgtrG559Mu3Q\nxjAGqyxflWmDINU1fOy/gHcXxOhEa2P498IsehnJPgX8eyOSB1XT9ZINZjck91JH+3LilCYimSIy\nSUTuin7uKyJjGtuvqs5X1VKgGDhPVQ9T1U8cn2TNfjZqvXt9Xmb/Oo1Trju2On0+gBhC38F9+MfV\nxzD3/jepKIlNkFm7b2j/0erXTvsNquew39qICGb2cXi6vI2n2yLMvMvQBgyc6m0STT9HEqemcOqI\n2VTNJ0vv0X11CM2LCKfecAJP/XUfp1x3LB5v4pFDVepHZilUlgVYvXwtC99azHPTXq03OmQYwpiT\nR3LUxP9L5ik0CTPnFBKPU1RCaBFa+TJYy6hJH+s0Wkshd2JiAydKqvQOzdd8h6ld1ZZ06lbAjEW3\ncOykQ9huj23o0qso7jD2mhXrWLJoaa1lA/K2o8zy2cUKMVlvSb3RwypZhoMfpeoUEiKe3pi5F9tF\nP7t+gORNhewzkbxrkKLXELOzsx1pnVd8ZmJrsyrG+E/gukbbJzJURL4GvgK+FpEvRaT1SxN3AAzD\n4Jh/H8LLpbOZWzGbK56cQFGPQpYv+YvJY2/io+cXxKxdk2Onph5UzQ9seoRN+qRfwI5V/kiTgnLr\noRZ4tnKwXpxXfJqkeVfvDZNflMfoE0cgzYlwinZOE01DGh6TcVcehWG03SNUjDyMwqeh8cLeoEE0\n+AVgd1oaLNsT958gRhNyDKVI79B8zbtGTpLIK8zh+MsO59a3psS5qdtjM4GKMBeOvoa599cUbuuV\nswuVmk1IPVgKayIeNG4PUjDM5ozwJR+RDCRzLEbuBCTzQMdWPs6jq/qp6nXY82NEczMl8mibCZyl\nqn1UtQ92oqkHnDXMpSEiYYtbTr6L1cvXUlkWqJOqvvZIZTxMr4d9T9wzpW1sFpE/IaYIbV0aH873\ng28w4m0gy3rNTpoSbdJUzbt6b4SiHp3ZfOBmGC0M5W4Ij9esXdqhjTB8AzG7fo7Z+Xkgu4G1Imho\nERBKOE1V18TBP9J5FvLU6h2aqXnXyEkBww/dCV9m1YM/2tON9gwC5UGmT3iYVx58B4Aszyb0zh1L\nsXZmbSSbdVYm6y0Pltb16ckgIzd1IeOtgeBsKBMIikgG0UeniGxOddhLg0RU9f2qD6r6AdWZ31ya\ny5TDbo5GDjpAa0ZzfBle/Jk+zp9+Mj371Y/yaHN8u+OkIk39nq0Hso5HOt2TcNt4ek+i5l29J2Dy\nUxfSpWdnPP4GpnTEwNvQdwnweD103azlWZSTgYgg3gFAI8Eh4a+x/cuaEOZu9sbMv8V5O0ip3qGZ\nmm89D9aNiDH/HMmrD7zDb9//icb5kcOhCA9f9Qxj/rEXAIO7XEon/wB+Ln6UsFVGacZuFBk/YQU+\nAPEg+MnIvxqPb2jrnkiyce6YdhXwKtBTRB4CRgCnxFtRRIZE374rIvdgF4tV4GhakOreBf7+bVWD\nxTxt4qQ6UDC9BhPuOo1dDhpCViO5S9oSI/MwIuUPQGQFNfdWvx1uHrGjy+L2eP2jMPMmOTtIExwx\ncah5V+/O6da7Cw//PI2Fby3mmdteYtFbX+PxeghUBPFn+4mErPqJWeNExdbFn+Vj/M0ntlm0YIMY\nXcFa2cCXVU70VRr/mbile/wHIJ4eiG9vDH8Tnzcp0Du0XPOtZuSISC/s5D3dsBs4Q1X/W2edvYDn\ngSqPvmdV9arWamOyyMjO4L/vX8VRPc8iUBHfOF27Yn11NXMRg83zD2Xz/Nq1eyxrPWqtxzB7OSub\n0A5IdBGIfXf5EjgS2A37KXqRqjZ09d5a5/OUmPctcrtoCR1B799/tgSvz0sk7GAkR8DjMTE8Jmff\nPo5RTShO2BaIkYXZeQ5W2f1o5atg5GBknQhGV6x1Veli6mM4CKOtdRwHN/0maj4t9Q7pqXnDMNhx\n9CB2HD2I4rUl/P7dchZ/+AOzr34mbimIKqruzdX7MQ2y8jLZYrvNOGbSIQzdp5GoujZCcs5Di6+l\nJk1CvJXAyL8J1p+BWqvR6uhBQaQLRsGtiHgb3j5RG5Kvd2ih5ltzJCcMXKiqX4hILvC5iMxT1bpd\nxfdVtWnVJtOQjCw/vbbelCULl8b9vutmnRM7txkFYBSkoHVthJKw7qeqalQXA7FvhonWH5mcxiWd\ndq/3wu4FiNmwRg3ToPsWXTnk3ANYvXwt/iw/I4/alR59N2nFVjYfMfIwcydA7oTqZWrFD50HwOyP\n4d/F+QEc6B2apvk01jukuebzCnMZuPvW3PWvh+rVOKxFzABlVm4moWCYfceN4Jw7Tm5xuYZUYmQe\njaUhtPQO0AbKV2gEMbtB5ydhwxVIMBqC7tsDyb+6RQZOKvQeXb9Fmm81I0dVVwArou9LROQ7oAd2\nEqoOybjJhzP1qNvr1fIxPSanXntMG7WqbTGcZcVfJCKDVXWh0/2KSD62hV/l5foucJWqOiufnWQ6\ngt4H7Nafgi75VJYFauUdMb0G0z6+jk37bkJmdkYbtjD5iNEZyTrOLlCrsT3iHMzCB5u8P4d6hyZq\nPt30Du1H83Frq8UgYufAuebFf+Pxeui5VfeklQZKJXaahBPRrBPQihewii+n9qiOB7yDq4t2SuFM\nVEPYozjJMQVSpXdovubbxCwVkT7AYCBerYpdo6Fhr4jIgAa2Hy8iC0RkwapVq1LY0pYxbP8duOj+\n08ntVOP1ntc5h0kPncmII5rQI+woVFn6sa8YpOZKGwzMF5EfROQLEVkoIl8k2PtMoAQ4KvoqJk2i\nTdqr3g3D4OZ5V9Bv8Ob4MrxkZPsp6JrHVXMuZsvt+3Q4A6cKI/cyJOdyMLe00+NnHIrZ5WXEbGIo\nfDy9J0/zaat3SG/N7338Hvgz6zvgmh6Dgq557HLQjtzx0TVsP2IAA3br3y4MnFhEBCNrLJIzHvCD\n5AIZ4B2IWacckIg3ecllU6t3aKbmW93xWERygGeAC+LUqfgC6K2qpSJyAPAc0K/uPlR1BjADYOjQ\noW06D52IvY7clRFH7EKwMoTX72nTvAptjQDS+K/1GXbdnIObsfstVfXwmM9TRWRRM/aTVNq73rtu\nVsS0T65j5e+rqSitpGf/TdN6yD4Z2D3ioyH76Jbth4R6h+ZrPi31Dumv+bFn7cf7T3/Cb98uo6K0\nEl+GF8M0uPalSQzaM0FagHaEmXMumjUODX2LmF0RzxYpPV6K9Q7N1HyrGjliT/g9Azyiqs/W/T72\nglDVuSLyPxEpUtXVrdnOZCMicXsOGyMJHNMEQFUbKbPXIBUiMjwaVoiI7E6jHnippyPpPV3CZdsb\nDhwxm6v5tNN7tB1pr3l/po/b37+KT1/+goVvf0NRz0L2OWFPCjfpQP6PUcTIQ5riR9bS46VO79BM\nzbdmdJUA9wPfqep/GlhnE+DvqGPSMOzptEY8AV3aFYlDDLuIyL8a3LwB3UQ5A3g4Om8LsI7m1/Jp\nMa7eXRyG1DZX82mld2hfmjc9JruN3YndxiauQu7ikNTqHZqp+dYcydkdOBE7HXPVENOlRKuOqurd\nwBHAmSISxrbQjlF1WN7apV2Q4CIwsavKJsp8WXufdkrO/qq6vYid4zzOMHlr4+rdxclNv8maT1O9\ng6v5jZ5U6B1apvnWjK76gAQnpqrTgGmt0yKXVkcbTfMNsKI5OTNU1RKRi4En0+Rm7+rdxYneoRma\nT0e9g6v5jZ4U6R1apvmO7UHoklY4KOvQJOu+Dm+IyEQR6SUihVWvFuzPxaVFOExz31zNu3p3SStS\nrHdopubdsg4urYpYjY5M792CXR+NHcRYt8BXakMKXFwaIYHeofmad/XuknakUO/QTM27Ro5L65HA\nMU1V17Zg79tii3+4fSTeB+5uwf5c0hjLsrAiFh5vGt/CHDhitkDzrt5d0ovU6h2aqfk0vkOkhro1\nSVxalyYUcGsqD2Enh6rKdnVcdNlRKTuiS6uw7u8NLP3mD7r17kJB1zz+N+Eh3nnqY8KhCP2HbsF5\n005hy0G927qZcXH17rIxkUK9QzM1v9EYOVbFi1ByK1h/okZ3yJmAkXVIWzdr48KZY1pzGaiqsZm8\n3haRtEonnwpUg2jZLKiYA4TAyAdrtZ2pN/s0JGOftm5is7Esi/9NeJhXH3wHX4aXUDCM1+chWBkk\nFLCrR3//2c9cuPdV3P/lLXTetFMbt7gOrt5dNiZSq3dopuY3CiPHKn8eii/Brh8HWCugeDJW5G/E\nswmYPVApQnQleLZCOkhRzEjEwjCk3shVWXE5b8x+j58+/4UtBvVm33F7kVOQ3cBekoftmJayaNEv\nRGQXVf0EQER2Bhak6mDpgKqFrv0HhBYDlfbCqptMZBm6/hw04ygk97ymlyRoQ16b9R6PXP88q/5Y\njYYjqCqhgF0xOlhRUx28KvI4FAjz0ox5jLsyvQYxXL271MWyLBZ+tIT57/9IfkEWow4eTLceaWac\nN5MU6x2aqfkOb+SoKhRfTrWBU00llN0aU6ddUMkCDaGZx0LOGRhmZ1Qt7AJm6T/FZVkW5cUV/P7D\nn0w7dyZLvvgFX6afA04dxSnXH8d7T33CY9fPYdmPywFQS/FmeJl11ZNM+/QGevTtntoGOksW1Vx2\nBD4Skd+jnzcDfhCRr7EL3w5K2ZHbiuDHEP6WagOnHgqVT6CVz6KebZCC2xFPz9ZsYZN57q7XmTnl\nKQLlQQjXvWZrUMuCKiOnIsAHcz7jpClHptd16urdJYqqEg5XMvXsx/nqk58JldlV0Gff8ToTrjuS\n0Yfu2MYtTAKp1Ts0U/Md3sgh9CUQcLCigpbZbysegopZWPii2/rQzEORvEsQyUxdW5tJOBTmuhPu\n4MPn5mNFLGIsNwLlAV6e8QafvbqINcvXUllaOwt2qDJEqDLE+O0ncvULkxiy93YpbWsKhzP3T9me\n05XQF6DlTlaE8GJ07XHQ5a3kFeRLMpGIxaxr59gGTiPEGjhVLP9pBc9Ne5VDzx2TyiY2GVfvLitL\nX+XntdexYF4GCz8YhBXTJ7ECYW6d+Dg77NaXom75De+knZDi6apmaT4973bJJPRVMze0qOkhB6Bi\nDhpZhhTOTFLDkoOqcvKACfz1a7RSb5zRwmBliOU/rmh0P8GKIFccfAM3vzmFbXfZKgUtJWrpp2Y4\nU1V/S8mO0xmjC0gmqJOSRRZYGyD4IfhHpLxpzaF0XRmBmOkoROoZM0DcZaFgmJmXP86G1cUM3Xd7\nBuzWv+1HdVy9b3SohgmXP0mk/HEgQrG5Pd8Uv8SGiLBoXv9aBk71NqEQZwy7jJJVG0AhMzeDEy8/\njMPO3b/tNdwUUqh3aL7mO34yQHMTIBnFMQMQXICGm1NXLHVcdfRtNQZOCwlWBJk19cmk7CseAhiR\n2i+XFpBxIHaWdKcEIPJXqlrTYnIKsvD4YvpdRu3bk2Ea+DK99W78qmrPzJVW8si1z3LJ/tdx/Ql3\nYlmpHTtPRDy9u5rvuKgqgdWHES6+Ag1/jYa/ZWnx06yPGFgI4UB9g0UjEXTtOkpWbqjuoFaUVHLf\npY9z7yWPAVC6voxn7niF6064k0evn8O6vze05mk5Jl313qGNHFULlVwQf/J2Gv41eftqIUsWLeXD\nOZ8ldZ/ffvRjtUNn0lFFrNovl+YjRi5S+DCYPQEn06gWWvYY1vrLsEJ/pLp5jrAsi0/e/Ib/XPwE\n99/wEqOP3wNfphcsCyylKkFqt95FjD5+OHd+eA2dYqpFVxk4NQugsjzAxy8u4JMXP2/dk6lLHL27\nmu+4BNedg4a/xp4FAEuVYsuMylPYalT90XStqIBIfWPcili8cPc8ln7zB6cMmshDU57k3ac/4dEb\nn+fk7S7kl69/r7dNm5Omeu+wRo5GVqCrRsO6k0FLoksF8EdfzaESDc5PTgOTwKPXz6m/MM7opj/T\nR15RLmIkHvosL63gvac/TkLr4pMg5bdLExHvQKToTaToeRAHURqRb6HyKVgzGqv8udQ3sLGmRCym\nnDKTG89/hHlPz+f5Bz9g3suLKdq0c43hIgJisH51KYecsz/Fq4tZvzJxT7ayLMC82e+l9gQc4CDN\nvUsTUQ2ila+iZfejgU9T1ylrAlZ4GVbgterPEbUoJ4QhNW3beswyMgvr+JuFGnauN0yDuy+aTfGa\n0upp3FBliPLiCm47897knkCSSEe9d1wjZ+2ZYC2jJqYW7DtnBnT9EDKOBrzR5flgbm5/l4jyB7D+\n2gHr78FY685Cw78ku+mOWfZT/Z6BiFQbOoZpkFeYQ/+dtqS8pCLqy5DA0FG49tjbOXPHi5h735vJ\nHfJXIKK1Xy4tRkQQT5+or43TS1qh+GKstaeigU9S2LqG+fj1xSye/wuVUUdjy1ICFUH+/OnPeusG\nK0I8cu1zPDj5Sdu53gGmaU/lrfjlb6adP5N/jbySey6exapla5J3Eo0RT++u5luEhv9AV41EN1yC\nlvwHXTceXb0fVtljaGRlm7UrUj6bqmeNpRaV0Wje7maNE44IHDHjE4q2KsYwLbx+A0+m3/6iClVQ\nC9QiUFbJV+99SyQcsae1Yl4/ffErwcrGHfRbnTTVe4d0PNbIXxD5voFvN0DFcxgFV6ORC+yIE2sl\nRFbgLAoLoNz+QQNvoIH30fxbkYx9WsVJ7KeFv/LyfW+xYVUxWbmZts1SR0ciwr7/GMHE+87k209+\n5OJ9riEcTZ5mO3NSf6MY1FKWLFzKf8+cwTO3v8Q1L0yi+xbdktL+dBi+7KhI7vlo4O1olGDDPcRa\nBN9Dg/PR3IkY2SeioZ/QijmgZUjGaPANT5mu33v5y2oDp5qInbKhrj5VlV++/p3Stc4KEJtek/mv\nLWI/37F2lnNDsMIW333yE3PvfZM7PrqG3tukPpze1Xty0Q0TwVpD1ZQQhCCyFEqmoCVTUO8IpHBG\nqzrsqgaJlM2y36NYaLV6izwhOkUCrLf8KEJGfojDpy/EWL8d22ZMJTPTz5k7X0agtDLaCa2tl3Ao\nYk/d1sEKhfn+syUM2nPbet+1Jemo9w43kqMaRCteouYiiEP5U/a6xZdD5I/oQ6GSxh78DROADeej\naw5DrdQ6hL0y8y0uHHUVrz3wNh+9sICfv/wNMes7nvbbcQsm3ncmAK8/9G6tBGpAtOeQ+CZgRSx+\n/3YZpw6cwKdzv2j5CWj6DWV2JMTsgRS9BFkngWcg+PaC3CtI7K9TASU3YK3cD13zf1A+EyoeQ9ef\na780+T+UpUH8mXHyT5kG8a5DEdhsmx706t+9zvKakUuP18Tj82CYBqpKeXEFVsRCLcUK2+cQDoQo\nLy5n2nmtECUZR++u5puPWhuiiS8b+U8MvYv+vQNW6UxUHRr6LW1XaBFVj1KNo90BvmL6eUvIlSA5\nhsnAzhM4cMjd9B3Qix5bdOW/b0+m98BeTT7uJWOu48cFaRQIk6Z671BGjlrr0NVjoPTOxlc0slAN\nQuBdHPd4GyUC4R/RDZcnYV/xKS+p4K4LZxGoCGJFreVgZQivz0NeUT7eTB9ev4+Rxw7nljcmV28X\nCoTizll7M7z0GbiZo2MHK0PceNKd9rCpKsHKYLOmsQQwwlatl0tyEbMbRt4kjKJnMQpnYGSfCBlO\ncseEwPoV+wES/V20HIIfRK+T5BCxyvhu1UV88NtgOg25F63zwBLDwJufiz+zdkSkL9PH8Zccwrip\nR9f7zuP1cMD40Zw77RSOu+xQDNOoNmpqUdVTVmXRm19z7XG3U1HqJPy+ecTTu6v5luD0/64CSv+D\nbrgopa2pQkNLEGo6koZIrS6kCHTzVLJDRhnDu5xH34LjMKVGw5sP7MWM+ddx4uTD6hv9jfgbhYJh\nZl7xRLJOo8Wkq947lpFTclt02qmxG5cg2f/E7i0mc2gtZE9faWrmSb/95CdMb/1Rm1AgTN/BvXlk\nyZ08s/JeLnn4HDJzanyLRhy5KxnZ9R2tRYSb35oS97t4hENhnrtzLidteTb/l3sih3QaxwNXPEYk\n0oQYQVU7Yib21YERkf1F5AcRWSIik+J87xeRJ6LffyoifVLSkLyrQAqbt62Wo5Vzk9aUxX+fxqqy\nV1BCLHh5S/DUvwXte+pojrjgALLy7BGozbbuwdSn/0X/oVuww14DuOKJCfTcyh7RyS/K5dTrj+OC\n/53KAafuzdB9tseX4a23z3hTAe8++RHjt5/Ij5+nqDccT++u5puteTE6gacfTkahIQiVr6LhpY7b\n7gSteBlr1Risv4dgrTme8LpzsEquA0K11vNj1mul17s1mdnHN7jvnv26O74fV/HzoqVNWj+lpKne\nW9XISflNv/I1Gh+ZEcg4CPz7IeIH7yDqXzBVUzl+wASjL+RNw1lEVgQtf6ZJTXZCsDLI/NcWUVEa\nP31/bqccCrrmk5FVv4077b8Duxy0IxnZfkRsXwVfpo9z7jyZgqI8svOznLWhIsh9lzzKX0tXYUUs\nKkoqeea2l5gx8eEmnUu6hRemChExgenAGGBb4FgRqTuBfgqwTlX7ArcBN6aiLYbhQ7q+B4azkbs6\nW9sJB1tIKLSYFX8NZ0NgPkqQQLmH377qAqYX/F7wmuD1gN/L5x8v4aTJh/PsX/cwt/Qh7l14A4NH\nDqje17Axg5n5zW28FnyMp1bcy+EXHFjdA+6+Rbfq4p21qa81tZS/fl3JhD0nc/8lj7T4HOORjiG1\nqaI1NC8Ft4Dk4ihIhAhaMg0NfZWUKVer7BF0w6UQ+Rm0FA19BoFXESoxqD16Y4iQgYkfAx8GGXjJ\nL5yN/V8Un90OHkpWXiaGWfNYNjyN58HKzk9+Bv7ykgoev2EOZw/7N5P2u5qPX3ReEi0d9d5qRk6r\n3PQbFJBA9tlI0csYBbdW3xAl/9o6F0wmGN2g8HGk4Dak6EWMrnMxsvaF/FtwlFSw5Hq08q0mNbsx\nIuEI5w6fwgt3v4HGEYw/y89B40c3uL2IcOkj53H18xcz9pwxHH3Rwdz9+Y2MOXmU/b2DsHK7HRbh\nYO2HR6A8yEsz3qCirKHaSXVQkIjWenVghgFLVPUXtYf3HgfG1llnLPBQ9P3TwN6SIo9JER9kjqEm\notApPiTz8BYd24qsZcPqI6gI/44AYRXWV2ZS3cEQAdO0/XFECFaGoosF02z4FhXvv6qgSx6jjt2d\npvwvBiuCzLljLr9+neQkwnH07mq+ZZoXT1+kyztI3qVgbJl4g8CL6Jrj0ZW7o8EvnR6mHlb4Lyi5\nlthZglj/GxHBxMCMeaSKCKYYeMSDv+A/iFnU6DF8fi//fW8qO+6zHYbHwPQY7LTf9uxx2M4NbjN0\nvx2afU7xqCir5OydJjHr6qf5ccEvfD7vK6477nYemuJgWixN9d6a0VXVFwCAiFRdALGl0scCV0bf\nPw1MExFRp4kQMg+FsoepHSVlgm8XjNzz660unr7Q5U204jkIL0G8gyDjQMSoP7phZO6H5ekDaw6j\n7tBkbSrR4uvAPzIpHv43/PMuln6zrKrFxPZIPT4Px10ylu1HNO5hLyLsMHIgO4wcWO+7kccM57k7\nX6mu8txUIuEIq5etoVf/Ho7WTwfLvpXoAcRm3FsG1L1bVa+jqmER2QB0BlbHriQi44HxAJtt1pzR\nmOh+so5Dy2eBOv2tfZBzJuLbvtnH1MhKytb/G9UKMsQipAYbrEw8+RHyupex/o/cWuubHoNd925Z\nxMgFd5/G+89+Snlx9IHkoBcfCob54LnP2Hy73i06dl02Ir1DK2lejBzIOgbJOgZrzdEQWthIkxQI\ngAbQtcehXT7FMHOadFKqYVhzJLGzBPEcjEUEDyYeyYXMcUS0HDG74c06AjGcTRd36dmZa567mEjY\ndgMwPSYfv/Q5n722kEBZbVcI02Mw9qz9mnQuiXjl/jf48+e/aqVpqCwL8OTNzzP2nP0p6NJ4fa10\n1HtrTlfFuwDqPhlrXQBA1QVQCxEZLyILRGTBqlU1JQ0k5xzwDgDJAvwg2WBuguRf32CjxMjHyB6H\nkX81knVkXAOnCsPbH3zDSDiiY/2Orh6LZZU2vl4C/vhxBR88F5N8sDoqSvD4PPxj6lEcc1HdjlLT\nOP7yw+m5VfdqPx5/lp+cTtkcP/kIR9tHQhFuPOlORwm5RBUJW7VeLolR1RmqOlRVh3bp0qXZ+xGz\nO1I4GzzbkvDSzx6PdHkDyT6j2UP9kcq3qFz5a6wYAAATv0lEQVQ5gnDgLSCMV5SQVvWrhL0u+Bpv\nRhjDa9/Q/ZleOhXlctJ5+zTreFV4vB4OHD8ar9/TqONmLIYheH1NHeVqnHh6dzXvDKeal8LHIf8O\nnD3KQlByFaqKVfYY1qp9sf4ehrXuPDTc8Cielj8K+nf1ZyvqAC0N+QZpBDPnZPz5V+DLGe/YwInF\n9JiY0amqYWMG039oX/wx7gi+aODInefez/8mPMiKX/5uaFeO2bC6mBkXzY6bh0oMg+8++anR7dNV\n7+0yT46qzgBmAAwdOrT6LiaSCYWP2dWZQ9/a6e79eyS16rIUTEeLr4bKBL43ke9h5R5o0fOIp3m9\n70/mLqx/j66aajMMNk1C7prsvCzu+vwmPn5xAd9/+hPdt+jGXsfszrO3v+x4Hz9+/gtfvfst2+81\nIPHKbVxPqBVZDsTGhfaMLou3zjKxRZoPpDRTnZ0h+TlUK9CVe4DGyzuTjeRMQEunQ/lDoCWouSWS\ndwXi383RcVQDBNefh0U5RkxUTEhNqqapumy1gaPueY/vXutJ8fI89hp+JAccMorMJjpfxuP4Sw/j\n4xc/Z8XPK4iEEjvHG6bBiCN3rf688o/VLH7/O3ILcxgyelD1A6fJbDx6hzbQvIggmftj6VQovpaa\nosoNUPkaigGBV2oK2wZeR4MfQtFLiNm9/jZlD1a/rTVFhcQZ0TEx8v9jO0knCdM0uH7upbwx+z3e\nfOR9rIjFkoVL+e2bZYQCIb567zteuf8tbnztcrbddStUle8++YlP5y4kM8fPyGN2p1vvxjtHK/9Y\nzSX7X9PgtRIKBCno6qBKehrqvTWNnFa5AEQEfDvarxQgRhZScD3W6iUQjj/Hq9F/UAKrx2I209Ax\nvSam10M4Uj9iyzBNdtq/+dMItY7jMRl+6M4MP7RmZLlHv+4NFoGui1rKgtcXJTZyonO2GwnzgX4i\nsjm2ro8BjquzzgvAOOBj4AjgLcdTsy1EJBPN/ieUzqB2NKKA+NA1h0J4KdUPjcjP6LozoPNsxDsI\ntcoh8DZoKfh2Rzx2Yj211mCVP4pV+Taq9rSxGe3zKpBhRAhaNQZDVmGAHY/9GUN8HNjnDrxGcurM\nZedncc/Cm7jy0JuZ/2pj0xk2+47bi+5bdENVuW/SbObc8Qoer4kYgi/Dx81vTqHPgCbmMtm49A5t\nqHkj62jU7ImW3QehJbVGXmpTAZXP1llmgVagZfcheVegVjladhdUPA9aCbq+1tqxIzgGRrWho4D4\nx2JkJncKCcDr8zDm5FGMOXkUU4+4lUB5oDqVSCQUIRKKcNE+VxMJRzA9BlZEiYQieLwms65+mgvv\nPYNRxw6Pu+9n/vsS91z4cFyfzxqErYf1bbyRaar31jRy0vqm31Qkfyq69vhob6DGeq0xcKooIbJ6\nH/CPwcg6HIlmkFWrnMqK5wmHFmN6+pORdRiRcAZzn/yMV5+aTzgUZve9t8UwBQypHYonMOWJ8/H5\nkzu8HsvwQ4eR0ymbkrVljtYv3MRJz0XT0tJPBVF/g3OA17BLhc9U1W9E5Cpggaq+ANwPzBKRJcBa\n7Gui1ZDsM1GrGMofxU5JH8bOI7MOwuvibBFAS6ZBznh03Wn2IrXz6mj2yUjmYUTWHAZaiWolVWnu\nRYQMNQlhsZmnjG+DXqzYB4X46ZUzBq/RNF+JRPj8Xo7+91hHRs4bj7yHL9NHsCLIvIffJRQIVfup\nlRdXcOmYa3nkt7ua6Ge38egd2l7z4t8d8e+OZUVg5Q44z2APEIbAR3ZR57UnQPhHoOF0ILGGTq33\nGXs3veFN5Is3v642cGKpSvoaOxoTigaL3HraPex84BCy82q7Y0y/YCbP3fFKwmNuu1t/B9pPT723\nmpHT1hdAshHvtlA0Fy2ZCZUPU2PexLPJIhB4CSv4FuIbjuZexobVB0V9dsoJaxYr1t/I9EtO4IfP\nNmBFi7Y98f0Kcrp1hr/XIIagEcVSi3NuG8eOo7dL6fn5MnxMn38jp2w7IaFTsukx2Pv4PRLvtKq2\nyUaCqs4F5tZZNjnmfSVwZGu3qwoRA8m7BCvrJFjtpPepEP4JXXd6NEt4zDdl92KV3U/NdEHt31lE\n8GHSw6OIlvFDKIuw+AGDPrljGVQ0MRmnVI9Nt9wE02MQSeAbUFkaaHSKdtWyNZy+w0SuePJfjp3s\nNza9Q3po3jBMrIJpsP5MmpTsNbIULbkBwt+QKIeaovV8cgQDydiz6Q1uIpk5GTVO9Q7xeE2+mPc1\nexy+M+v+Xs8P839mw5piRwaOYRqMv+nExAdJU723qk9OOlwAyUTM7uAfgFZ6aczqB7tom2opVL5K\neeUbWNERoNVhD6ss+O3LfL5fsKZe4EtpRYR9Th7NtgO6o6rsMmYwnbo5mBtNAt0378ZN867gkjHX\nEg5FCAfDtrEV04vw+EyufmESeZ1zG9lTFAUJNyF5oEurIJHfUPGBo0SWvnrRWRYWQoiqB4OqEmnk\nIbGpN0h3j+Lp+gZeIw8zSVNU8SjsXkBWXhYla1sWBADw69e/c8aQi5n53e1028yBA7ir9zbDyBiB\nlTcFiqfgPFNyBMofbHSN+H44oBhI9um2X2iKOfis/Xj0umcJ1K371hhqpwu5d9Js5twxF6/P4yjb\nt+k1ueyxC9hm537OjpGGem+XjsfphJ38L7GBE1u0LRztBZdZBqssH4rw++IuaAOjqx++tph/3dQ2\ng1oDh2/D/d/cxot3v86yH1ew/V4D2H7kAL58+xuKehSy68FDq6s9JyY9hzM3esyu4LTOj7WcWL1X\n9Wjj3fwbeiAAeLOOxe9pfqSYU0zT5PRbTuLOc+5r2kOhAYIVQU7b7kLu/+Y2uvSsF/hZB1fvbYn4\ndkfxkOj+3OT9YqDSA6UUtAQxCpDsM5EsB6MdSeDoiw5m6Td/8OGcz/D6vVSUVNSfvqr28rD/VpRW\n8ODkx1n+0wrCwTChysRpJA45bwwnX3scmdlOEi9Gj5WGeneNnBZT39u+ahhTUVS1VgEJK6ZXsTbi\ntb9T8OU0fCEGHQgylXTdrAunXFc7HfnmA5oRMaZEq0y7pBPi6Yt6+kH4O2oP75vYiTJjp6Zq6zTe\nsL2VIALF8O2FLz91dd7qst8/RtKpWwFXHnZTA9mQm0ZFaQX3X/ookx4+t/EVXb23KeLpifp2geCH\nVPmHJQXvYIzCx1q10nkspsfk0tnn8fdvq1i6+A/KSyu4+eT/EaqMajtOCRO1LH775o/6O2uAHUYN\n5Kzb/tm0c0xTvXeo2lVtgWQdRmzenHi5E6pu8lUGTlVVEwuIqMF6K5Oee61q8NfYeofmJ4BLLxSs\nSO2XS1oghfeCd0fAZ+eZknzImUBTesG1nTFrlhnRpPeCYJjbktn5IbusSisybMxgDjl3DB5fEvp1\nCp++/LmzFevq3dV8qyIFd9ilfPDirOaVAzTQZgZOLN16d2HnA4cw8ujd2W/cyJhvWuYX03tAL26a\nN7kZ55ieeneNnJaSMRZ8NblDpM6/ePgwECDXiFBi+bEQ/DkRdj/7B5DaAvVleDl98iGpPIPWo8rS\nj325pAViFGJ0noV0eQvp/DTS9WMILaLx7N7UGrWsMmiMepV8qq4LD/7Os1N1Cgk59pLD6Nqrc3UR\nRE809028wreJ8HgdGEvx9O5qvlURIwuj4Gak2xfQ5WMwGi+t4GynzcyZlEK22blfrcLMzeXc/53K\nvV/d2jwjLk317k5XtRAREzrdg1Y8BsXXYz8UajJiGmJgae2oq6qQ2hwEC4OqHsa2By+jy9YbmH9/\nX8r+KmDIsKEcc/Zoem3ZtfVPLCWk55ytSw1idgVsvWn4R+fb1codIiiCge2Qad9mDHyF92CYifxY\nUkdupxxmfHUrbz36AYve+YbuW3RjnxP35McFv/Dr17/x5C3PEwk502e/IZs7WMvVe7og4kdMP5p/\nPbruXOz7dHNGGTKRzPQL+t390J2Ydv5Mxxm+4zFgt/4cfEZLcvykp95dIycJiIhdFyjzCLT8sWgh\nt+h32PVMgnVCGUUExE4lFYl5QHTZqoQDblxIgX8bRvWsm0aonaNAuOU+ES6thGcbiPze6CpVPjex\nvjlVNXxUvWjOeMTojJF5QLPS2ycbf6afMafszZhTavKZ9OjbnZHH7E5lWYA5d8xtZGsbwzDY9eCd\nEh/M1XvaIf4RUPQsWjYLwr/bGb/DP0S/jTc1K/b0rYYAA/wj7BqJaUZ2XhbXvXwJl//fjZStb1ok\nodfvxevzcP5dp7WsEWmqd9fISSIiPsjYDy25mdgLRkQw1ajldAz2dFW8eWJD/GyaPSrFrW0DVNFI\n28/RujhDcs5CA2/hdMqqNplI7qmYOQmcc9OIcVOP4u3HP2DDqpJGa7F5/Z5aJSAaxNV7WiKevkj+\n1OrPaq1FQz9Cyc0Q/hkox659aEDBdMTaANZq8O1k50dLUwbuvjV3f3Ej/9z6fMLBxMbG1jv3o6BL\nHltu35uDztyPok1b2AlJU727Rk6SEXMT1LN1NKFUzQ9uSjZhrURjsnCaAtt4y/g2lB81gBRD/GSa\nXdgy7+jWb3xrkAZztC7OEO82UDgLXT8JrKUOtjBBMsDcFMkeDxkHp7qJSSU7P5u7vriZBy9/jI9f\n/Bx/lo9tdu7HJy99gcdrgoAVsbj88QnO8kKBq/d2gBiFiH8X1PckBN5Fg5+C0QXJHIuYqU9zkEw2\n6dOVLXfow48Lfm60TIM3w8MFd49ny+37JLcBaah318hJAdLpTnTtSbb1D6AhJPNgvJ6BhIqnYmeF\nVcBLL38POne5iV+Kn6civJLuWXvQJ/9wvEZ2G55BilCFNLT0XRpGfEOQrq/bqRDWXwCBV4kbvWF0\ng5zzMbKcVa9PV4o2LWTizLNrLStdX8bnr3+J4TEZuu8gMnMcJnxz9d6uEDEhYxSS0b5H0Sc/dSET\nR13J2j/XEaioPwWXke1nzyN2Tb6Bk6Z6d42cFCBmdyh6HUKfQ2QleAchnp4YgOntT7jsIdRaieEf\njSfraDKNbDpnDmvrZrcC6Tmc6ZIYEYGC29HA+1A2AyLLwdMXyTkDvEPSIqQ2VeQUZDPiKGfV12vj\n6t2l9enaq4gHf7iDxR98z+plazE8ws+LlvLD/CV4fV72P2Vvhh+aiudNeurdNXJShF0NfWi95YZv\nMD7f4DZoUdujChpKP8c0F2eIiF2bpxXq83QEXL27tBWGYTBozxr/ob2O2j3lx0xXvbtGjkvrkaaO\naS4uKcHVu8vGRJrqXRqLImgPiMgq4Lc6i4uA1W3QnJbQUdrcW1XjeuuJyKvRbWJZrar7p6JxHZEO\npHdon+12rPkG9A6u5ptEB9J8R2lzu9J7uzdy4iEiC1S1/lxRGuO22aW5tNffoT22uz22uSPSHn8H\nt81tg1vWwcXFxcXFxaVD4ho5Li4uLi4uLh2SjmrkzGjrBjQDt80uzaW9/g7tsd3tsc0dkfb4O7ht\nbgM6pE+Oi4uLi4uLi0tHHclxcXFxcXFx2chxjRwXFxcXFxeXDkmHMnJEZH8R+UFElojIpLZuj1NE\nZKmIfC0ii0RkQVu3Jx4iMlNEVorI4phlhSIyT0R+iv7t1JZt3Bhpj5pvD3oHV/PpSHvUO7QPzXdU\nvXcYI0dETGA6MAbYFjhWRLZtfKu0YqSq7pDGOQkeBOomdJoEvKmq/YA3o59dWol2rvl01zu4mk8r\n2rneIf01/yAdUO8dxsgBhgFLVPUXVQ0CjwNj27hNHQZVfQ9YW2fxWOCh6PuHgENatVEuruZTiKv5\ntMPVewrpqHrvSEZOD+CPmM/LosvaAwq8LiKfi8j4tm5ME+imqiui7/8CurVlYzZC2qvm26vewdV8\nW9Je9Q7tV/PtXu9ugc70YLiqLheRrsA8Efk+alW3G1RVRcTNR+DihHavd3A179Ik2r3m26veO9JI\nznKgV8znntFlaY+qLo/+XQnMwR6WbQ/8LSLdAaJ/V7ZxezY22qXm27HewdV8W9Iu9Q7tWvPtXu8d\nyciZD/QTkc1FxAccA7zQxm1KiIhki0hu1XtgX2Bx41ulDS8A46LvxwHPt2FbNkbanebbud7B1Xxb\n0u70Du1e8+1e7x1mukpVwyJyDvAaYAIzVfWbNm6WE7oBc0QE7N/jUVV9tW2bVB8ReQzYCygSkWXA\nFOAG4EkROQX4DTiq7Vq48dFONd8u9A6u5tONdqp3aCea76h6d8s6uLi4uLi4uHRIOtJ0lYuLi4uL\ni4tLNa6R4+Li4uLi4tIhcY0cFxcXFxcXlw6Ja+S4uLi4uLi4dEhcI8fFxcXFxcWlQ+IaOS4uLi4u\nLi4dEtfIcXFxcXFxcemQuEZOGyIiZ4jIXTGfrxGRWW3ZJheXVOJq3mVjwtV72+MmA2xDRCQL+AHY\nDhgOXA3spqoVbdowF5cU4WreZWPC1Xvb4xo5bYyI3ARkA2OAfVT15zZukotLSnE177Ix4eq9bXGN\nnDZGRLYGvgPGqmraF5tzcWkpruZdNiZcvbctrk9O2zMZWEUHKpbq4pIAV/MuGxOu3tsQ18hpQ0Tk\nQiADu7Lr+W3cHBeXlONq3mVjwtV72+Nalm2EiIwC/gnsqqolIpInIjuo6qK2bpuLSypwNe+yMeHq\nPT1wR3LaABHZDLgPOFJVS6KL/wtc0HatcnFJHa7mXTYmXL2nD67jsYuLi4uLi0uHxB3JcXFxcXFx\ncemQuEaOi4uLi4uLS4fENXJcXFxcXFxcOiSukePi4uLi4uLSIXGNHBcXFxcXF5cOiWvkuLi4uLi4\nuHRIXCPHxcXFxcXFpUPy/0S0FeYzL0QqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117fbf908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(8, 7)\n",
"for g in range(3):\n",
" for k in range(3):\n",
" plt.subplot(3, 3, 3 * k + g + 1)\n",
" plt.scatter(X, Y[:, g], c=omgp_model.phi[:, k])\n",
" plt.xlabel('$X$')\n",
" plt.ylabel('$Y_{}$'.format(g))\n",
" plt.colorbar(label='Trend {} \\nprobability'.format(k), ticks=[])\n",
" \n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
},
"widgets": {
"state": {
"09b6f91f4d4342fab281fff08867883f": {
"views": [
{
"cell_index": 9
}
]
},
"20971001c3ef4aad82758a3964770b83": {
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{
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}
]
},
"65b2840a17be4cd08886e7613320b5c2": {
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},
"7fe0adb26dbc4297946b7eed68d32ef2": {
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}
]
},
"8e19a86a2dab4ac8be4e62117fc486c9": {
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{
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}
]
},
"9aa5c125632d4e88b1e1ffd9225c5c84": {
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{
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}
]
},
"b60d9d2e749a4e878e54d88da252ddc4": {
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{
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}
]
},
"be975824463f4276b92a81c7e910f9de": {
"views": [
{
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}
]
}
},
"version": "1.2.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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