bayesian regression2.ipynb

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   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "import torch\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.feature_selection import SelectKBest, f_classif, mutual_info_classif\n",
    "import torch.distributions as dist\n",
    "import pickle\n",
    "from tqdm import tqdm\n",
    "import numpy as np\n",
    "from models import RegressionMCDropoutModel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('dataset2.pickle', 'rb') as f:\n",
    "    data = pickle.loads(f.read())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Dataset(torch.utils.data.Dataset):\n",
    "    def __init__(self, X, y):\n",
    "        self.X = np.array(X).astype(np.float32)\n",
    "        self.y = np.array(y).astype(np.float32)\n",
    "        assert self.X.shape[0]==self.y.shape[0]\n",
    "\n",
    "    def __len__(self):\n",
    "        return self.X.shape[0]\n",
    "    \n",
    "    def __getitem__(self, i):\n",
    "        return self.X[i], self.y[i]\n",
    "\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(data['X'], data['y_regression'], test_size=0.20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_dataset = Dataset(X_train, y_train)\n",
    "test_dataset = Dataset(X_test, y_test)\n",
    "train_loader = torch.utils.data.DataLoader(train_dataset, batch_size=64, shuffle=True)\n",
    "test_loader = torch.utils.data.DataLoader(test_dataset, batch_size=64)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "import torch.optim as optim\n",
    "\n",
    "net = RegressionMCDropoutModel(X_train[0].shape[0], train_data_size=X_train.shape[0], lengthscale=1).cuda()\n",
    "try:\n",
    "    net.load_state_dict(torch.load('bayesian_regression_model2'))\n",
    "except:\n",
    "    print('Initializing new model')\n",
    "\n",
    "criterion = nn.MSELoss()\n",
    "optimizer = optim.Adam(net.parameters(), lr=0.0001)\n",
    "\n",
    "losses = []\n",
    "val_losses = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "loss : 0.145736, val_loss: 0.168534: 100%|██████████| 300/300 [02:16<00:00,  2.20it/s]Finished Training\n",
      "\n"
     ]
    }
   ],
   "source": [
    "t = tqdm(range(300))\n",
    "\n",
    "for epoch in t:  # loop over the dataset multiple times\n",
    "    total_loss = 0\n",
    "    net.train(True)\n",
    "    for i, data in enumerate(train_loader, 0):\n",
    "        inputs, targets = data\n",
    "        inputs = inputs.cuda()\n",
    "        targets = targets.cuda()\n",
    "        optimizer.zero_grad()\n",
    "        pred = net(inputs)\n",
    "        loss = net.getLoss(pred, targets).mean()\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "        total_loss += loss.cpu().item()\n",
    "\n",
    "    train_loss = total_loss/(i+1)\n",
    "    losses.append(train_loss)\n",
    "\n",
    "    total_loss = 0\n",
    "    pred = []\n",
    "    net.train(False)\n",
    "    for i, data in enumerate(test_loader, 0):\n",
    "        inputs, targets = data\n",
    "        inputs = inputs.cuda()\n",
    "        targets = targets.cuda()\n",
    "        pred = net(inputs)\n",
    "        loss = net.getLoss(pred, targets).mean()\n",
    "        total_loss += loss.cpu().item()\n",
    "\n",
    "\n",
    "    val_loss = total_loss/(i+1)\n",
    "    val_losses.append(val_loss)\n",
    "    t.set_description(f'loss : {train_loss:.6f}, val_loss: {val_loss:.6f}')\n",
    "\n",
    "print('Finished Training')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "torch.save(net.state_dict(), 'bayesian_regression_model2')"
   ]
  },
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   "execution_count": 8,
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bgT6qK4A0yAohBL4a6G3N0dYAWqgCuZZeCNHk+Wag93hIuAR6IURT55uBHlBBEUT7FZMu/d0IIZo4nw30FQ8JT8+TQC+EaNp8N9C7HxKeKoFeCNHE+W6gDwonjELS80q8XRIhhPAqHw70EQQ7CzhabJe7Y4UQTZrvBnpbOIHOQiy4SJP0jRCiCfPdQO/ulz6UYtIkfSOEaMLqFOiVUuOVUruVUolKqYdrGH+fUmqnUmqrUupHpVQHj3FOpdRm99+C+iz8CQVFABCuCknLlRq9EKLp8jvZBEopKzATuAhIBtYppRZorXd6TLYJSNBaFyul7gCeAya7x5VorfvXb7HrwOMh4am5UqMXQjRddanRDwYStdb7tdblwBxgoucEWuslWuti99vVQEz9FvM0uFM3nUIc7M4o8G5ZhBDCi+oS6NsBhz3eJ7uH1eZm4DuP9zal1Hql1Gql1BU1zaCUus09zfqsrKw6FKkO3DX6XhFOdqTm188yhRCiETpp6uZUKKVuABKAUR6DO2itU5RSHYGflFLbtNb7POfTWs8CZgEkJCToeimMO0ffOczBgaQiCkrthNr862XRQgjRmNSlRp8CtPd4H+Medgyl1BjgUWCC1rqyJzGtdYr7/35gKTDgDMpbd+7UTWyQyc9LrV4I0VTVJdCvA7oopeKVUgHAFOCYq2eUUgOANzBBPtNjeIRSKtD9OgoYBng24p49foHQvD1t7SbrtD0l7zf5WCGEaGhOmrrRWjuUUncCiwArMFtrvUMp9SSwXmu9AJgBhACfKKUAkrTWE4AewBtKKRfmoPJstat1zq5WvbDl/EpUSCC706VBVgjRNNUpR6+1/hb4ttqwxzxej6llvpVAnzMp4Blp1QsSF9OjVQCJWYVeK4YQQniT794ZCybQuxwMCTtCYkYhWtdPO68QQjQmvh3oW/YCoG9ACgVlDjLlaVNCiCbItwN9ZGewBtDReRCAvRmSvhFCND2+HeitfhDdnajiRAD2ZkqDrBCi6fHtQA/QqjcB2buICglgU1Kut0sjhBC/uSYQ6HuhCtO5tFMAS3dnYne6vF0iIYT4TTWJQA9waasc8ksdrD941MsFEkKI31YTCPS9Aejnn0yAn4VFO9K9XCAhhPht+X6gD4mGsHYEpm9kdPeWfLUlVdI3QogmxfcDPUDccDi4gkkD2nGkqJyfd9dTV8hCCNEINJ1AX5TJqKhcIpr58+32NG+XSAghfjNNJ9AD/kkrGBzfgnUHc7xcICGE+O00jUAfEQ8hrSFpDYPiWnA4p4T0PHlguBCiaWgagV4piEmA5HUMjm8BwFqp1QshmoimEegBYgbB0QP0bG4nJNCP7+UySyFEE9G0Aj3g9/7lPNrrCF9vTWP1/iNeLpQQQpx9TSfQt+1v/mft4tqSubQOszFzSaJXiySEEL+FphPoA4LhmneheSzWnP1MOqcdK/cdIbtQ+qgXQvi2phPoAXpdCYNvgbwkrujWDKdL881WuaZeCOHbmlagB2jTD4Auzn30ax/OKz/tJUuePCWE8GFNL9C37mv+p23hlVEQWprGs9/96t0yCSHEWdT0An2zFhARB4fXEPvNDbwcOZ+F29MoKXd6u2RCCHFWNL1AD9BhOOxZBCU5dHHso6jcyZLdmd4ulRBCnBVNM9DHDQdtavC2omTiQxy8/ONecovLvVwwIYSof0000A9zv1AAvDTSwv7sIib89xeW7clCa+29sgkhRD2rU6BXSo1XSu1WSiUqpR6uYfx9SqmdSqmtSqkflVIdPMZNU0rtdf9Nq8/Cn7bwWHP1Tf/rAejvn8RHt5yLRnPj7LU8OH+rlwsohBD156SBXillBWYCFwM9galKqZ7VJtsEJGit+wLzgefc87YAHgfOBQYDjyulIuqv+Gfgtp9h4n9Nr5b7l5IQ14If7h3FTUPj+GRDsnRlLITwGXWp0Q8GErXW+7XW5cAcYKLnBFrrJVrrYvfb1UCM+/U44AetdY7W+ijwAzC+fop+hpQyf4Nvgb3fw97F2PytPDS+O63DbDyxYAcOeeSgEMIH1CXQtwMOe7xPdg+rzc3Ad6cyr1LqNqXUeqXU+qys3/gxf0PvMpdbrvwPAEEBVh6/vCc7UvN5a8WB37YsQghxFtRrY6xS6gYgAZhxKvNprWdprRO01gnR0dH1WaST8wuEHpdD0mooKwRgfO/WjO3Zipd+2MPB7KLftjxCCFHP6hLoU4D2Hu9j3MOOoZQaAzwKTNBal53KvF7XaTQ4y+HgCgCUUjx5aWdCrA5Gv/gz98zZJFfiCCEarboE+nVAF6VUvFIqAJgCLPCcQCk1AHgDE+Q97zxaBIxVSkW4G2HHuoc1LLHngV8QfP9X2P4ZAK2/v4OfYt9hfO/WfLE5laW7f+OUkhBC1JOTBnqttQO4ExOgdwHztNY7lFJPKqUmuCebAYQAnyilNiulFrjnzQGewhws1gFPuoc1LP42GPEXcJTB57dD+nbY9xPNM9bw0jV9iYtsxl0fb2LmkkQyC0olnSOEaFRUQ0tJJCQk6PXr13vnwwsyYOYgCAiBfHeGafo69tGWZ779lcW7Mgj0s9AswMqqR0Zj87d6p5xCCFGNUmqD1jqhpnFN887Y2oS2gpEPVgV5gNRNdIoOYdbvzmHq4Pa0iwjiaLGdb7amUVzu8F5ZhRCijiTQVzfoZghtA637mLz93kWw8QMsh1bwzFV9WTw2hydCPucvn2zhoheXUVjm4GiR9JEjhGi4JHVTk6zdoKyw4E5IWmWG+QXB9DUw53rI2Mbf277OO/vDiGjmj0UpvrlrBGl5JQyIbRg3/gohmpYTpW4k0J9I9l7I3AkhreCDq6B1bzi8xozrdSXX5d7Oyn1HAAhv5k9usZ1Xpg7g8n5tvVhoIURTJDn60xXVBXpOhNghcMH/VQX5jufDrq+ZOakzy8Zn827Iq+QWlxMVEsj9n2zh0JEifk3P92rRhRCigp+3C9BonHs7bJ0DJblw/iMwexwRyUuI2PEqsY5feajzBMZNvJ6LXlrGuH8vo9Tu4qYeijbJ32EdcQ9/GN4Ri0V5ey2EEE2QBPq6svrB776AsgII72DSOctfgCzzvNk7cl+E777j/7pcytt7ArFFxdIncQaTrCu44Lt+7Msu5smJvfC3nuZJVGEWBEeZjtiEEOIUSOrmVARHQYt4sFig72TI2gUWP7jwbxDQDDJ2cPOh+/kl6F6+HbaHKwPWAXBvryI+XpvEpNdWkp5XyubDucd2qVBWAMueB3tJzZ+bnwov9YTtn/4GKymE8DVSoz9dY56AuBGAhq7jYOT9UJoHh9eilr+AbdED7gkVE6Iz8bv+Wl6f+yVLnn+JQ64olo26m/5x0ZTYnVyU/T8sS56qahOoLmm16YsnaTX0ufo3XEkhhC+QQH+6LFboOvbYYbbm0OUiiB8JexaaGvqaNyBtC5e0/JFxAY9hd2ls1nIe+jmUF3+6gADsbAp7jWCgLHkzH+b05dpB7QkJ9Ng1KRvM/3R58pUQ4tRJoD8b/AKrauaH18D62XBwOdb4kVgnzcb10WSeyPuOyZfeSuiXNxFclk2RDmTjyqU8WZrAkaIyHhjXvWp5ye7LTdO3g8tlUkdCCFFHEjHOtq4XQ7NIGP24acwNicYy6kGCipIZuOJ2upTtZG7sY+yPupBu+gDnRpbSeeVDJL17C9t378FlL8eVthndLBLsRZCzD356GrITT/7Z9hL49sHKHjmPc2A5fP832L2wXldZiEatIAM+vBYK0r1dknojgf5s6zoWHtwPI+4z6R4w6Z3msZC6EeJHMvkPf6FPwkhaqqN8XDad8WolrQ98xt7/3cOtz76JxVHK+6UjzLybP4Rlz8GyOjzbZd40WPsGfH3v8eMOr4X/XQUrX4H5vz87X+qSo+agVFsj82+tvNi0ozQF5UVQdMTbpWicdi0wXZ8k/ujtktQbCfTeYLHCwBvN64HTzP8O55lRtjAsN31D7oA/caX1F+70+xwXVuZYJ1CogtFr3wRA71rAhr2HKUzeURVIi3PA5ax6vXeRaTcozTXdOlSwl8Knt0BYO7j1R3Da4ccnT20dnPaTT7PhPXNQ+uXlU1v22fLV3fB+DY3djU150ckPnt89CG9daFJ93nRkX92+K2cqdTNs/qh+lrV/qfmfsb1+ltcASKD3liG3wyXPV+Xy2w6Av+yGv+wmMG4wLS9+CIKjGVC2DkuHIdx5+VB+cvRFlReiLQEoezEBH1xGyFtDKX1vEgdTM3D9dxB8ejNoXfm0rOLxL5rlf3AlfH6HOQAsfx5yD8Hl/4F258DQO82Zwob3qspXlA1HD8GOL2DWBeasoOQo/PoNfDwVXuwJpSe5+7fI/bCWnV+YMp2KrD3gKIf0baYmXhdH9sHCR8z9DY4aOpo79AukbjKn5rXJS4ZdX9e9nOXFsOHd44NZfqpZ50OrwFlDL6clR2veJi5X7dvq63th1avw8RTz3AQw62kvPX7ag7/A0YPmrLFC2lZzcUBtXE7zV5xjynxopblB8HQV58CrQ+CXf5/+Mjwt/rvpiqTie5e4GNa95R73BCy46/j9bi+FjB11/wyXEw4uN6/rEujLi+CFHrDxg5NPW7Ffd30FSWvqXqZ6IIHeWwJDYfCtYPWvGhbauuqGqMBQcwcuQJexXNKnNc37mee8fOU8l9ccl9O2meZHBmFL/oW81y/GUpwNOz7n4BvX4vz5OUoI5ObVLdH9ppgbvLbNg+e7mrRP76uh4ygAHs2byK9BA+CHv5ma4s4v4T/94c0LYMVLps+f9bPNsDnXmSuKijJNAPektfmrCA7Ze8z/zJ3wv0mmXeFEAd/lMqmktC3w2lD44TGYdb75fyJOu8mpvjIQ1s4yZyfV01WFWVXdT1f8kD0d2QcpG839DHOvh9zDsGWuWeeDv5gAs/KV42vIq181Zwob3q0alrYVXuwBM8+Fd8abO6oPLK98JjH7fzb74X+TTDD03H6vDDDLrK68GDa+b9IKaVtMWsHpMGm3f7aBlf810x1YBlvmwFH3g+13flm1jM9vNzX9Q6vM+m39pGrc1nnwVBTM6GTK9sk0eOdi+HcfyNlf25av+SB8eJ0JsIfXmsuCt82vff5TseIl2PcjzLvR7Idv/mLamIpzzD512StvYKz0zX3wxiizDxc+AvlpMPcGs19LjlZNV5pvDhypm0x6r1mkufihpu+rvRQWPQr/ioOv74OCVFO5KCuA10eYdGV1pXnw1mj4aDJ8chN8fc/x0yy4C+b/4fS3zwnIVTcN2cBpJvD3noRSilGXXkfJvpf5Oi+BwD4TiZw6gPQ1h/jy69uZaF1JsSWE7y3DGZm2AqsqZJurG6sOFvD3tneRMCSCPdvWcUn5Irp36wFD/gRAUZmD+ZvS2a8v42P/p2Dtm6bGHxAMhelQfMQccNK3wd4f4OrZ0P5ceP8Kc6rsZ4Nv7jfpKEcpRHaCjJ1wzbvmR9frSmjdF375D/w3wVyRdMuPpoO4gnQTkIfdA7HnQtpm8zjHFh3Nj3bN64A2ZxsXPgpBHj2D5iWDxd/cRLZ3kTndHvUQnHOTOTDsWWguS136L9PldOyQqnn3L626H8FRZoLFWndNN7yD+b/jM9jxuQmYC+40wW7fjxDd3bSxgKk9VtQol82A7pfCqplgCzfDst3pstWvQ8Y2CG0Ll70In/8RQlqb4PTGKDPfoJvNNjx60JyNnTe9qrzJGyBzB7gc7jMc9wEjbTPs/g60y2y3gjRY/Rpod/ouqIXZPhf+DfwCwOl+lPNP/4DgSHMQ6HAeNI8xB5HgltDpAnNQ+vVr6HwR7F9i9l27c6DbpbD0nzD8PmjeDvZ8b4LmJTNg0wcw/lkTLJc+Az0mmO8CmO9B5i6I7GxuMFzxErTsAd0uNjXovGRTyfELNNP/+o1JOTpKzfcrbripgCgFAWGmTIsfM9sKYNV/zbYBcwlym77mddIa890B+OxWc6Df+z0ccV/IsP1Tc8BM22rSm+WFEN3DfK8G/9Gsa9oW+PHvcPEMsz4b3zO195T1poxb55hlHT1gznTTt5q/sgIY87j5jmuXCeypm8xrMJWfjJ3QqmfVfj64wmyXs0B6r2yENhw6Ss82YQQFWHG6NG98+h137Lwe1W8qeuJMXlm0ldLlM9kV2Afan8sSj+fd2vwtLHvgAlqG2QD4aksqf/54E6DZHv03Qgr248DKn4Jf5OXyx7HZc+G2n9lDLLv27WfiCHfneCtfMcHFvxk0bw8dhpofY+omtMWKytxpprvgrzDqAVOTWj/bBMTzH4FRD5oUxJ6FJiDdtgR2LjBnFZ5szU1tqOcVMHEmBIaYmtbbY81VSGDOVhJuhvMfMu/Xv2N+WBXzAoy43xzA4kdCzgG4Z5sJHAsfMTXoVn1MMK4Q2sYEzgrdLjE1/vBY07DeopOpTWdsr1p2eAeTEvMPNsH2vOkmsKR7LBfM9vr9d1CYCV9ON2c+nS6AAb8zNemIeLjhU7AGmLuxn+8KZTWkyfpdB1s+MinA5S+ammXsUEhaacZfPdvUEC+eAQm/h3+2NUGsYrsBTHgF2g6EN0bAyAdM531Ja0wwnvAKfHOvSTWAOYhueNd02f2nlWYfFGWBspgAFtbOBNNWvc128W8GIS3N2UP7c01w6zq+Kjhe+FdzJpG9BwbdCpc+b87OZnQy34nSPLPMO1aYHPysUXDVmyaFk59slm8vNv8DQ80ZU//roFkL873KOQi2MFNZsXucefS/AbZ9Yva/ywG9J4F/kAn6eYdNGYffB7PHmkpHzn6zj2PPgw8nmQP22KfMGcG395vpS46aS6k7jzHzrJ1lpk/bYj5bWeGKV8128g8y+2XY3ebGSzDr+mxs1e/lNJyo90qp0TdC53SoqtlaLYo/XXMJHPwKorqilOK20b25cvfvuKhHS+4b242iMgcHsosod7q49vVV3PrBBqad14HWzW288tNeokICKCpzMsN2N+3zl7DVrzcZQZ15P28Yv2uxi0Mqnse+3Mnagzk0b5lJr7bNiT73DvT+n1H7foSr3jBtDG7frd7OJQuHmTfRXc3/sDamVr53EST+YH7cexbCkOmmNvjlnab2ViGqq5mm33UQEm1qoRYr5CZB8joTiIfdBW36mZqhp4rae2me+RFv/xTWv21qlL2vhq/uMnnb6O6wda4565j0NjzfxQSFhD+YgGYNMD/arF/NZ7QfbHLBH0+BwDBTO71yFvS91tSuExebz7UXmR//6MfMmVH6NnMX9VWzTFql9yQIb2/+pq826aKfnjIBE0xNddb5JrjHDq05yPvZTJAH6HQhxI8yZY8dYmrZeYeh11Wwbjb8/KzZD85yuPxlWPemOdsJbA4L/ly1zF5XurffuXCdOxif92dz1uByVKWBHCXw1hgT3AbcAJv+B82iTJBvOwBu/sE09u/8wmyHqC4mzQImyCurKfNP/zDbOLKLqc2mb3PXrvOqDtCluSYPXlFxaNMfrnnHPCei2yVmO5UXwqBb3PesvG2Caeu+0La/qRws+LM5C2g70HzGiPtM8E5aCV3Gmv0CVZWX3pPMvu58kfmugvneHtlrUjp3bzZnH6V55oxu4I3QZZz5nsWPNN/16G5mnYNbms9rPwTiR1Rt6+2fmrOvPteas6eKmyLb9j9+X9cDqdE3MR+sPsSsZfs4nGOu2ogKCeRfk/rw0Zokfvw1k5iIID65/Tz8rRaGP7sYh8OBS/nh0mBR4NLmrGBCv7as2pPG388PZ1txJFGhAYzsEs1nG1NYvCuD7ulf8pz/m6h7t0PzGHKLy/nvT4ncw/8IWT/TFGb0YzD8Plwb3sPy9d0ApEYNpU32KtRFfzfBPmawSTMsetScogMM/TN64E2oqM41r6TLZfKnznK4d7vJM9uLTc23xwR4oat5LrCfDYqzYfKH0OMyU7veOg8eOmSmLzlqgtWSf8I9282ZQ9pmE9g2vAtT50C38eYz07eb4Na8nQn45z8C5z9s8uHvjIexT5tG75qU5MK/+0JZtUs/2w4wp/shrU35oCpVNO6fsOj/zOvHc4/t7M5eatbdFgaZv5qasMPdYHvHSnOmk7bFNL7vXQT9ppoDWU3db4DJUz/XEUpyzD6JH2UOFufcBBc9Bd8+AMPvhe3zof/1pj+osgIz/NzbTfA6sNwE7I8nm+A6+UNz9tZhqCnj0mdMeUvzwBpo1qeizCMfNI3IZXnwtyOmg8EK71wKh1bA9LWmwrD6NZNCGnRL1TZZ9appt7lnmzlghbUx75e/AFe+Af2muLdbiTnw97/etJ0VZpp9b/U3NXQwFZPx/6x5O1W36UOTRmrd5/hxhZmmHcrlNNu1wv17zVnQaZAHj4hjaK1ZuieLojIHF3RrSXCgH0eLyjmUU0y3VqEEBZjr/V/4fjdfbUmlRXAASTklPHtVHxbuSOeXxGzS8koJ8LNQ7qhqnGwe5E9eibn6xN+q6BARyPf3XUhSTjGfb0rhPz/uZWrkPp4p+pvpFM5dk1q5N4sf332c3/kv4YGyW7iwTwdWF7ZkRI8Ybh4ej1LKNLjNPJeMmLHYx8/gpnfWcVnfNky/oDN+FmWm8fT930yNe8zj8MV0k1K5cYG5q/jffc17MKmMR5LB32auO8/ZD+0HVS3HXmLOLNr089yAUJhh8srV7f8Z3p9gbo7rdIGZdutcc4AJaFb7Tln7pkkD2MJNLTYwzBykPppi2gRG3GcOPP+KM7Xn+/eaxvLoblU10tps+hC+NG0y/DXL5OvB1G63f2rSBdaTnNxXBNQeE0xKZ/VrMPg2cxA+FatfMzl3z+C3d7FJiYCp7Xcdb5754HLAokeqpms70KT4PG39xJzhXfKcaRguOWoOtp6cDpNiCmtTNSxrtzmjuOI1kw48kexEePVcaNkTrpt37HLORPp2+Ohas88z3VcGPXH693lIoBenpeK7oTUUlTsItZkrhPZmFPDznizG9WrNz3uyuLxfW/76xXa+2pLK74fFcTinhIS4CJ797ldahQWSkV9GgNVC+xZBHDpSxC0xhxl7ySTunreNPu2aY3dqfvo1E6dLY7UoXFpXXuzw1MReXJPQnhveWsOkvi14/Nv9BPhZKSxz0DE6mACrhXKni7su7MLwLlFEBgccH/QrVqJiePJ680OPH2lqmS27Hz/9mcjYYYLCqXQp7XLCwoeh+2UmNdT9Mpj05vHT/SvepJNu/dGcuShVt89J3mCulKqe5qqrbx8wtdpRD5k8fn0qzoHn4s2Zxh0rTb7d1tyMe8L9//r55mwiokP9fnZdleabctV3N+EVl8aueQ1QMPye016UBHpx1pU5nOxOL6BvTDgADqeLt1ccYEViNs0CrCzakcF7fxhMel4JD31qGiejQgIoKXdSVO7ksr5tuHVER7an5vHo59vp3jqU5kH+7M8uYsqg9rzyUyI2fwuldnMGYbUonC7z3a14jCNAp+hgbhoWz6SB7ThabMfp1Bw+WszO1HxGdo2mW+tQAOxOF6V2J6E2f7TWNR8cvOXwWoiIq/kUfsFdpjH3NBvsTtv62eYKqavfgd5X1f/y3xoD7RLg4mePHb5nkcm5n+4BqgmRQC+8SmtNSm4JMREmdbF0dyazfznIg+NMQ/Fdczbx0uT+DO0URV6xnYte+plHL+1By1AbU99cDUCQv5USu5PgACvPX9MPf6uFW95fT3CAlbWPjmF7Sh7bUvJYsCWVrcl5xEcFc7S4nIJSR+UBoV14ECseuoD8Egc3vL2GtLwSzo2P5EB2EQvuHEZaXikZ+aUkxLUAzMFg3cEcWoYG0rllaI3rlplfyswlifxxVCfahgf9BlvTS3KTzA1317xrGsfrW0UcakgH3EZGAr1o0E5Uo/5oTRLlDicDO0Qw4b+/MLZnK2bdmIDWmgtf+JlhnSP5xxV9jlnW8r3Z3D1nE0H+Vi7q2Qqbv5X2LZrx1y+289mfhvL28gN8vzOdQHcKCOCqge34bKO5oWrDX8fQIjiAP324ke+2mz6AzusYSW6Jnf9M6U9iZiHnd4tmX2YRH609xMdrD9MswIrW8OaNCQzp2IKP1x1mR0oe943tSstQczVRXrGd7al5DIgNp1nAsTlxl0vX+qjJOWuTaN+iGcM6R53ZhhY+TQK98AkzlyQyrHMU/duHA1Bc7sDfaqnx8YxHi8qxKEXzZqZdIb/UTsJTixneJYoluzOZfn5nLujekr0ZBbyxbD8HsosItflRUOrgn1f2QSl45LNt/On8ThSXO/l+Rzo5xeWUO1y4NMc0RI/u3pKwIH82JR2loNTBsM5RLNiSCsAd53eie+tQ8ksdPP3NTkrtLnq2CeOFa/uRW2ynS6sQHE7Nla/+woguUTQP8mdQXAvG9jINvTlF5Qx+ejEhNj8W3zeKqBBzU1FBqR2LUgQH1tyIuistnz0ZBVzcuw17MgpIzCzkigHtapy2gtOlSc0toX2LEzQaiwbrjAO9Umo88B/ACryltX622viRwL+BvsAUrfV8j3FOoOKOkSSt9YQTfZYEenG23PXxJhZsSSXQz8IvD19YGTRX7M1m6e5M7h/XjUv+sxyrRXH4aDEJHVrw/h8GV9a0v9ycwvPf7+a6wR3YnZ5P2/Agft6TxawbE2gXHkRiZiHTZq8lJbeE3w+L42B2Ecv2ZlemjgbEhnNtQnue/mZX5ZlEgNVCi+AAsgvLcLiqfoutw2wM7RxJm+Y2Zi7Zh9WiGN29JbeN7EhwoB93frSRyJBA5v3xPDYcOsrB7CJGdI3ii00p7Mko5Oc9WWQVlNEhshl5JXZyi+0suHMYfdo1r/Xs6f1VB3liwQ7m3zGUgbERx43flZbPjbPX8s5Ng+jdrnm97htx5s4o0CulrMAe4CIgGVgHTNVa7/SYJg4IA+4HFlQL9IVa65Ncv1RFAr04W0rtThZuTyfU5sfoHq1qnObVpYk8t3A3MRFBfHbH0Mo7iE/lM9YeyGFop0h+2JnBHR9uZFyvVkwbGsfA2Ahs/laOFJaxYEsqrcNsbEw6yqr9R7h1REfCbP60DQ9i0Y50EjMLWbgjnXKHi+6tQ7n6nBj+8c0uwKSxK362E/q1rTx7qGjHAHPG8dhlPXlt6T7yS+34WRRFZU6iQwP5z5T+bD6cy3mdIlm17wh/GBaPxaK4/q3V/JJ4hI7RwVzWty03nteBzUm5DO7Ygn2ZhXy5OZV3Vx7k/G7RvD1tED/9msmwzpEE+VtJyilm1b4j/HvxXp6+sjcjukTz6tJELuvblo5RwZUHy5M1fC/fm8WvaQVc0D36mHaRiji1NTmPojIHQyWNdZwzDfTnAU9orce53z8CoLV+poZp3wW+lkAvGiutNfklDkJsflhryZnXldOl+XprKhd2b1l5aeqpSM0t4c3l+xnZNZrzu0bz78V7AdOYHRPRjF/2ZZNbbGfq4PZMHRzLjEWmb50Hx3WnzOEkIa6F+6omB2sP5DBv/WGW7s6qPFBU3AB3z5gu3Dw8ngFP/kDPtmEcyCqisNyBn0Vhd+rK6awWRYDVQondXCX19dY0urQMIb/UTka+6UfHoqBrq1AGx7fg/VWH6BDZjMJSB/eM6cLl/dpy6csraN3cxlUD23FBt5aVDdir9h0h1ObH5DdWUVTupGebML69ewT7swpxuDTPLdxNen4JB7OLUQrW/t8Y/KyKJb9m8uOuTIZ2jmRCv7bHHEQyC0rZkZrPBd2OvXqpuNzB11vTCPSzcHnftrW2jZwNH61Jwqk1Uwa1rzHleCbONNBfDYzXWt/ifv874Fyt9XG3+dUS6B3AZsABPKu1/qKG+W4DbgOIjY0959ChQ3VaMSGaKq01aw7kUGJ3HhfITuSh+Vv5amsq1ya0Z1PSUVqF2fh+ZwadooPZl1XEvD+ex+D4Fizcns4by/Zx5YB2JGYWkpRTzNLdWcy4ui9vLT/A7owCurUKJauwjIGxEVzQPZpO0SEk5RTz4HzzbONhnSP5JdE8/CQyOIARXaL4amsarUIDSc0rxaLgzgu7kF1YxkdrkioPKJMT2jN3/WG+unM4f/54IwePmH5qAqwWNBq7UxMTEUReiZ2iMgcBfuay24QOEWggJiKI0T1a8d+f9rIno5Dnru5LXGQwg+NbUGp3cuPstaw9YO5GfeLyntw0LB6AfVmF3P6B6YrgrWkJxLZoRlZBGX94bx1ldhf/urpvZUqrsMzBHf/bwNherfndkA5k5Jdy6/vr+cOw+FrbQg5mF3HhC0txaRjToxVv3nhOvV7W6+1A305rnaKU6gj8BIzWWu+r7fOkRi/E2eN0afJL7EQEm7tj7U4Xby7fz/c7MujRJox/XNG7xjOZknInP+/JYmzPViTlFPPsd7/y8MXdiYsKPmY6h9PFyz8l0qN1KON6tWbT4VzyS+38/p11APxxZEcevrg7B7KL+PfivZVpp6mDY/lycwr9YsJ5/YZzGPzPxXRvE8aWw7l0bRVCv5hw7rmoK6V2J9e9uZqM/DISOkQQERzAS5P78/rSfSzelUFEswB2ZxSQU1SO1aJo09xG8tGSys+2WBSvLd3HC9f046utqazad4SrBsZw5YB2fLk5hU82JIOGgR3CSTpSTHx0MCv3HSE6JJAQmx/f/HkEQQFW3l5xgKe+Ntnr8Gb++FkU2YXltA6zccOQWErtLq4fEktEswBu/98GhnSMZH9WIV9sTuUPw+J5/ed9PHNVH4Z3juLeuZtxuDR3j+nCkPjIyjvTT5VXUzenMh4k0Avhiz7bmExkSCAjOkdVpkrsThePL9hBjzZh/G5IB5KPFhMa6E/zZv7889tdzFq2nwA/C+v/OoYwj9TX11tTOZhdxPQLOtdYI7Y7XfyaVkCozQ+X1ny9NY20vFI+XpuEUnB537a8PHUAWQVl/OObnXy/I4MSuxOrRXFF/3ZorflsU0rl8sb1asXUwbHc9M46WgQH8MrUATw4fyttmtuYdE4M21PyyMgvpVvrUGYuMXVYq0XRL6Y5vdo254PVhyrTZTcPj+fRS3pw7RuryCgoJTjAj5TcEmz+VrIKyujeOpSF94w8rW18pr1XrgO6KKXigRRgCnBdHT84AijWWpcppaKAYcBzdSu2EMJXXDUw5rhh/lYL/7yy6h6IihvqAB4Y143DOcW0DQ86JsgDXNa37Qk/y99qoU9M1VVBd43ugtamreGzjSnce5HpUdU0TA+guNzBC9/v4YPVh7hpaBx+VsX6Q0eZNjSOeesOM/2CzvSNCWfubUN48NOt/O7tNbg0PHNVH0Z2rbp5TGuNzc9K73bNSc8v5ZHPtrExKZfrzo1l+d4s4iKDeWh8d9PwPSSWe+duAeC5q/tyed+2rDlwpPLO7/pW18srL8FcPmkFZmutn1ZKPQms11ovUEoNAj4HIoBSIF1r3UspNRR4A3Bhnmb1b6312yf6LKnRCyHOlqIyR633HpQ5nAT6mbRJbVcHbUw6ypRZq7l9VCfucx8wauJwuvjThxvp3iaMe0Z3odzpItDPUrnM4nIHCf9YTKCfhVWPjMbmf3rpGk9yw5QQQtST4nLHcXc2n475G5IJDrBycZ/66Q1THjwihBD1pD6CPMDV5xyfzjpb5OHgQgjh4yTQCyGEj5NAL4QQPk4CvRBC+DgJ9EII4eMk0AshhI+TQC+EED5OAr0QQvi4BndnrFIqCziTfoqjgOx6Ko63+cq6+Mp6gKxLQyXrAh201jU+ub3BBfozpZRaX9ttwI2Nr6yLr6wHyLo0VLIuJyapGyGE8HES6IUQwsf5YqCf5e0C1CNfWRdfWQ+QdWmoZF1OwOdy9EIIIY7lizV6IYQQHiTQCyGEj/OZQK+UGq+U2q2USlRKPezt8pwqpdRBpdQ2pdRmpdR697AWSqkflFJ73f8jvF3OmiilZiulMpVS2z2G1Vh2Zbzs3k9blVIDvVfy49WyLk8opVLc+2az+9GaFeMeca/LbqXUOO+UumZKqfZKqSVKqZ1KqR1KqbvdwxvVvjnBejS6/aKUsiml1iqltrjX5e/u4fFKqTXuMs9VSgW4hwe63ye6x8ed1gdrrRv9H+ZZtvuAjkAAsAXo6e1yneI6HASiqg17DnjY/fph4F/eLmctZR8JDAS2n6zswCXAd4AChgBrvF3+OqzLE8D9NUzb0/1dCwTi3d9Bq7fXwaN8bYCB7tehwB53mRvVvjnBejS6/eLetiHu1/7AGve2ngdMcQ9/HbjD/fpPwOvu11OAuafzub5Sox8MJGqt92uty4E5wEQvl6k+TATec79+D7jCe0WpndZ6GZBTbXBtZZ8IvK+N1UC4Uqp+HppZD2pZl9pMBOZorcu01geARMx3sUHQWqdprTe6XxcAu4B2NLJ9c4L1qE2D3S/ubVvofuvv/tPAhcB89/Dq+6RiX80HRquanlp+Er4S6NsBhz3eJ3PiL0JDpIHvlVIblFK3uYe10lqnuV+nA628U7TTUlvZG+u+utOdzpjtkUJrNOviPuUfgKlBNtp9U209oBHuF6WUVSm1GcgEfsCcceRqrR3uSTzLW7ku7vF5QOSpfqavBHpfMFxrPRC4GJiulBrpOVKbc7dGeS1sYy6722tAJ6A/kAa84NXSnCKlVAjwKXCP1jrfc1xj2jc1rEej3C9aa6fWuj8QgznT6H62P9NXAn0K0N7jfYx7WKOhtU5x/88EPsd8ATIqTp3d/zO9V8JTVlvZG92+0lpnuH+cLuBNqtIADX5dlFL+mOD4odb6M/fgRrdvalqPxrxfALTWucAS4DxMmszPPcqzvJXr4h7fHDhyqp/lK4F+HdDF3XIdgGm0WODlMtWZUipYKRVa8RoYC2zHrMM092TTgC+9U8LTUlvZFwA3uq/wGALkeaQRGqRqeeorMfsGzLpMcV8ZEQ90Adb+1uWrjTuX+zawS2v9oseoRrVvaluPxrhflFLRSqlw9+sg4CJMm8MS4Gr3ZNX3ScW+uhr4yX0Wdmq83QpdX3+YKwb2YPJdj3q7PKdY9o6YqwS2ADsqyo/Jxf0I7AUWAy28XdZayv8x5tTZjskv3lxb2TFXHcx076dtQIK3y1+HdfnAXdat7h9eG4/pH3Wvy27gYm+Xv9q6DMekZbYCm91/lzS2fXOC9Wh0+wXoC2xyl3k78Jh7eEfMwSgR+AQIdA+3ud8nusd3PJ3PlS4QhBDCx/lK6kYIIUQtJNALIYSPk0AvhBA+TgK9EEL4OAn0Qgjh4yTQCyGEj5NAL4QQPu7/AYnDKV/K8UgBAAAAAElFTkSuQmCC\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from scipy.signal import savgol_filter\n",
    "# smooth_loss = savgol_filter(losses, 51, 3)\n",
    "\n",
    "plt.plot(losses, label='loss')\n",
    "plt.plot(val_losses, label='val loss')\n",
    "# plt.plot(smooth_loss, label='smooth loss')\n",
    "plt.legend()\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt.plot(f1_scores, label='f1')\n",
    "# smooth_f1 = savgol_filter(f1_scores, 101, 3)\n",
    "# plt.plot(smooth_f1, label='smooth f1')\n",
    "# plt.legend()\n",
    "# plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "net.train(False)\n",
    "points = []\n",
    "sigmas = []\n",
    "targets = []\n",
    "for i, data in enumerate(test_loader, 0):\n",
    "    inputs, target = data\n",
    "    inputs = inputs.cuda()\n",
    "    loc, sigma = net.predict(inputs, num_samples=200)\n",
    "    points.append(loc.detach().cpu().numpy())\n",
    "    sigmas.append(sigma.detach().cpu().numpy())\n",
    "    targets.append(target.detach().cpu().numpy())\n",
    "\n",
    "points = np.concatenate(points)\n",
    "sigmas = np.concatenate(sigmas)\n",
    "targets = np.concatenate(targets)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "sig_prod = np.sqrt(sigmas[:, 0]*sigmas[:, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "\n",
    "ax.scatter(points[:,0], points[:,1], alpha=0.3, s=3)\n",
    "\n",
    "plt.legend()\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rmse(y, y_hat):\n",
    "    \"\"\"Compute root mean squared error\"\"\"\n",
    "    return np.sqrt(np.mean((y - y_hat)**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x = []\n",
    "y = []\n",
    "\n",
    "sorted_sigmas = np.sort(sig_prod)\n",
    "\n",
    "for percent in range(1000, sorted_sigmas.shape[0], sorted_sigmas.shape[0]//100):\n",
    "    treshold = sorted_sigmas[percent]\n",
    "    selected = sig_prod<=treshold\n",
    "    x_ = selected.sum()/sig_prod.shape[0]\n",
    "    y_ = rmse(points[selected], targets[selected])\n",
    "    x.append(x_)\n",
    "    y.append(y_)\n",
    "plt.scatter(x, y)\n",
    "plt.xlim(0, 1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "RMSE with deterministic model: 0.36330100893974304\n"
     ]
    }
   ],
   "source": [
    "net.train(False)\n",
    "points = []\n",
    "targets = []\n",
    "for i, data in enumerate(test_loader, 0):\n",
    "    inputs, target = data\n",
    "    inputs = inputs.cuda()\n",
    "    loc = net(inputs, deterministic=True)\n",
    "    # loc = net.predict(inputs, num_samples=100)[0]\n",
    "    points.append(loc.detach().cpu().numpy())\n",
    "    targets.append(target.detach().cpu().numpy())\n",
    "\n",
    "points = np.concatenate(points)\n",
    "targets = np.concatenate(targets)\n",
    "\n",
    "deterministic_rmse = rmse(points, targets)\n",
    "print(f'RMSE with deterministic model: {rmse(points, targets)}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.scatter(x, y)\n",
    "plt.plot([0, 1], [deterministic_rmse,deterministic_rmse])\n",
    "plt.xlim(0, 1);"
   ]
  }
 ]
}