{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0",
   "metadata": {},
   "source": [
    "# Clustering and Principal Component Analysis (PCA) \n",
    "### *~1.4M Asteroids from the JPL Small Body Database* \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4 engines found\n"
     ]
    }
   ],
   "source": [
    "from ipyparallel import Client\n",
    "rc = Client(profile=\"default\")\n",
    "rc.ids\n",
    "\n",
    "if len(rc.ids) == 0:\n",
    "    print(\"No engines found\")\n",
    "else:\n",
    "    print(f\"{len(rc.ids)} engines found\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2",
   "metadata": {},
   "outputs": [],
   "source": [
    "%%px\n",
    "import heat as ht"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3",
   "metadata": {},
   "source": [
    "## Load the data from `hdf5` and preprocessing\n",
    "\n",
    "This has already been done in the respective notebook, so we skip the details and just proceed as follows: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mOut[2:7]: \u001b[0mStandardScaler({})"
      ]
     },
     "metadata": {
      "after": null,
      "completed": null,
      "data": {},
      "engine_id": 2,
      "engine_uuid": "7bb5dc3a-f09a0d4b811b705718e9a837",
      "error": null,
      "execute_input": "from heat.preprocessing import StandardScaler\nx = ht.load(\"/projects/HPDAGrundlagensoftware-Heat/Testdata/JPL_SBDB/jplsbdb_asteroids.h5\", \"properties\", device=\"gpu\", split=0)\nscaler = StandardScaler(copy=False)\nscaler.fit_transform(x)\n",
      "execute_result": {
       "data": {
        "text/plain": "StandardScaler({})"
       },
       "execution_count": 7,
       "metadata": {}
      },
      "follow": null,
      "msg_id": null,
      "outputs": [],
      "received": null,
      "started": null,
      "status": null,
      "stderr": "",
      "stdout": "",
      "submitted": "2025-11-21T14:24:01.862485Z"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mOut[0:7]: \u001b[0mStandardScaler({})"
      ]
     },
     "metadata": {
      "after": null,
      "completed": null,
      "data": {},
      "engine_id": 0,
      "engine_uuid": "f2c87107-fc81ed29fcbe5ed4df11f512",
      "error": null,
      "execute_input": "from heat.preprocessing import StandardScaler\nx = ht.load(\"/projects/HPDAGrundlagensoftware-Heat/Testdata/JPL_SBDB/jplsbdb_asteroids.h5\", \"properties\", device=\"gpu\", split=0)\nscaler = StandardScaler(copy=False)\nscaler.fit_transform(x)\n",
      "execute_result": {
       "data": {
        "text/plain": "StandardScaler({})"
       },
       "execution_count": 7,
       "metadata": {}
      },
      "follow": null,
      "msg_id": null,
      "outputs": [],
      "received": null,
      "started": null,
      "status": null,
      "stderr": "",
      "stdout": "",
      "submitted": "2025-11-21T14:24:01.862333Z"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mOut[1:7]: \u001b[0mStandardScaler({})"
      ]
     },
     "metadata": {
      "after": null,
      "completed": null,
      "data": {},
      "engine_id": 1,
      "engine_uuid": "f2421b56-46d7d5454b3df573b0bcad7f",
      "error": null,
      "execute_input": "from heat.preprocessing import StandardScaler\nx = ht.load(\"/projects/HPDAGrundlagensoftware-Heat/Testdata/JPL_SBDB/jplsbdb_asteroids.h5\", \"properties\", device=\"gpu\", split=0)\nscaler = StandardScaler(copy=False)\nscaler.fit_transform(x)\n",
      "execute_result": {
       "data": {
        "text/plain": "StandardScaler({})"
       },
       "execution_count": 7,
       "metadata": {}
      },
      "follow": null,
      "msg_id": null,
      "outputs": [],
      "received": null,
      "started": null,
      "status": null,
      "stderr": "",
      "stdout": "",
      "submitted": "2025-11-21T14:24:01.862427Z"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mOut[3:7]: \u001b[0mStandardScaler({})"
      ]
     },
     "metadata": {
      "after": null,
      "completed": null,
      "data": {},
      "engine_id": 3,
      "engine_uuid": "42f0e9c9-eb6db029549161c8adecd97f",
      "error": null,
      "execute_input": "from heat.preprocessing import StandardScaler\nx = ht.load(\"/projects/HPDAGrundlagensoftware-Heat/Testdata/JPL_SBDB/jplsbdb_asteroids.h5\", \"properties\", device=\"gpu\", split=0)\nscaler = StandardScaler(copy=False)\nscaler.fit_transform(x)\n",
      "execute_result": {
       "data": {
        "text/plain": "StandardScaler({})"
       },
       "execution_count": 7,
       "metadata": {}
      },
      "follow": null,
      "msg_id": null,
      "outputs": [],
      "received": null,
      "started": null,
      "status": null,
      "stderr": "",
      "stdout": "",
      "submitted": "2025-11-21T14:24:01.862669Z"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%px\n",
    "from heat.preprocessing import StandardScaler\n",
    "x = ht.load(\"/p/scratch/training2546/datasets/jplsbdb_asteroids.h5\", \"properties\", device=\"gpu\", split=0)\n",
    "scaler = StandardScaler(copy=False)\n",
    "scaler.fit_transform(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5",
   "metadata": {},
   "source": [
    "## Clustering with K-Means \n",
    "\n",
    "Now, we will do the actual clustering: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "368ee7b1e8ae4b5c9c07c596d71ee626",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "%px:   0%|          | 0/4 [00:00<?, ?tasks/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[stdout:2] \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[stdout:1] \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[stdout:3] \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[stdout:0] DNDarray([[1],\n",
       "          [0],\n",
       "          [0],\n",
       "          ...,\n",
       "          [3],\n",
       "          [1],\n",
       "          [0]], dtype=ht.int64, device=gpu:0, split=0)\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%px\n",
    "from heat.cluster import KMeans\n",
    "kmeans = KMeans(n_clusters=5, init=\"batchparallel\")\n",
    "kmeans.fit(x)\n",
    "print(kmeans.labels_)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7",
   "metadata": {},
   "source": [
    "## Visualization with PCA \n",
    "\n",
    "How do you know whether your results of clustering are meaningful? --- You somehow need to visualize them. As most people (even mathematicians) might have problems visualizing point clouds in more than 4 dimensions (3D space + time), its a convenient option to use dimensionality reduction before vizualization. \n",
    "\n",
    "Here, we will use **PCA (\"Principal Component Analysis\")** for doing so. This technique relies on the mathematical concept of singular value decomposition (SVD); see the Linear Algebra notebook for more details. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[stdout:2] \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[stdout:3] \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[stdout:1] \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[stdout:0] DNDarray([2.4105e+03, 1.4566e+03, 1.3290e+03, 1.3022e+03, 1.2496e+03, 1.1295e+03, 1.1131e+03, 1.0657e+03, 9.7940e+02,\n",
       "          2.4479e+02, 7.0850e-01, 8.1861e-02], dtype=ht.float32, device=gpu:0, split=None)\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%px\n",
    "from heat.decomposition import PCA \n",
    "pca = PCA(svd_solver=\"full\")\n",
    "pca.fit(x)\n",
    "print(pca.singular_values_)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9",
   "metadata": {},
   "source": [
    "Once you have computed the PCA of your data, you can project onto the PCA-coordinates (`pca.transform()`) and plot the projected data points for various combinations of PCA-coordinates, here `(1,2)` and `(0,2)`.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "85c88734753644cfb62282020127c0c1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "%px:   0%|          | 0/4 [00:00<?, ?tasks/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[output:0]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "engine": 0,
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[output:1]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "engine": 1,
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[output:3]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "engine": 3,
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[output:2]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "engine": 2,
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[output:2]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "engine": 2,
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[output:1]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEICAYAAABF82P+AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAALEwAACxMBAJqcGAAAJqRJREFUeJzt3Xl8XNV99/HPTzPaLMm7vNt4wTaYxcYIs4QlYMLWgE2hQEiBElK/kpCFNn1SCE+zPeFJkzZpm9KQOgkJ5CEsgbAkIQGzlZCwycbGOwgDXvAir7KtbZbf88dcO5J1JcswM3fk+b5fL700c87ce39zZc9vzrnnnmPujoiIyIFKog5AREQKkxKEiIiEUoIQEZFQShAiIhJKCUJEREIpQYiISKh41AGY2d8BnwQcWApcD4wE7gOGAAuBa9y9vaf9DB061MePH5/bYEVEDjMLFy7c6u61YXUW5X0QZjYaeAGY5u4tZvYA8DhwEfArd7/PzH4ILHH3O3raV11dndfX1+c+aBGRw4iZLXT3urC6QuhiigOVZhYH+gEbgXOAB4P6u4C50YQmIlK8Ik0Q7r4B+FdgLZnEsItMl9JOd08GL1sPjI4mQhGR4hVpgjCzQcAcYAIwCqgCLjiE7eeZWb2Z1Tc2NuYoShGR4hR1F9O5wNvu3ujuCeBXwIeAgUGXE8AYYEPYxu4+393r3L2utjb0GouIiLxPUSeItcApZtbPzAyYDawAngUuD15zHfBoLoPY097Omh3baU0mcnkYEZE+JdJhru7+spk9CCwCksBrwHzgt8B9ZvbNoOwnuTh+Mp3mm88/y/3LlxIrKcHdmTfzJD5/8qlk8pWISPGK/D4Id/8q8NUDitcAs3J97O+9+AIPrFhGWyoFqRQA8xe9ytB+/fj48TNyfXgRkYIWdRdTZNLu3P36YlqTyU7lLckkP1z4akRRiYgUjqJNEO2pZJfksM+2luY8RyMiUniKNkGUx+KMrukfWnds7fA8RyMiUniKNkGYGV896xwq4n++DGNAZTzOrWecFV1gIiIFomgTBMA5EyZy19zLOH3sOEbV1DB74iR++VcfY/qIkVGHJiISuchHMUXtpFFjuPvSv4o6DBGRglPULQgREemeEoSIiIRSghARkVBKECIiEkoJQkREQilBiIhIKCUIEREJpQQhIiKhlCBERCSUEoSIiIRSghARkVBKECIiEkoJQkREQilBiIhIKCUIEREJpQQhIiKhIk8QZjbQzB40s1VmttLMTjWzwWa2wMzeDH4PijpOEZFiE3mCAP4D+L27HwVMB1YCNwNPu/tk4OnguYiI5FGkCcLMBgBnAj8BcPd2d98JzAHuCl52FzA3ivhERIpZ1C2ICUAj8FMze83MfmxmVcBwd98YvGYTMDxsYzObZ2b1Zlbf2NiYp5BFRIpD1AkiDswE7nD3E4C9HNCd5O4OeNjG7j7f3evcva62tjbnwYqIFJOoE8R6YL27vxw8f5BMwthsZiMBgt9bIopPRKRoRZog3H0TsM7MpgZFs4EVwGPAdUHZdcCjEYQnIlLU4lEHAHwOuMfMyoA1wPVkEtcDZnYD8C5wRYTxiYgUpcgThLsvBupCqmbnORQREekg6msQIiJSoJQgREQklBKEiIiEUoIQEZFQShAiIhJKCUJEREIpQYiISCglCBERCaUEISIioZQgREQklBKEiIiEUoIQEZFQShAiIhJKCUJEREIpQYiISKjI14OIWmtzG688voiWPa2c+JHjGTp6SNQhiYgUhKJOEEv/sJL/ffG3wCGdTpNOpbn61sv4+K2XRR2aiEjkiraLqb21nX+65J9pbmqheXcLrXvbaG9NcO+3HmbFi6ujDk9EJHJFmyBee3op7t6lvL2lnd/d+UwEEYmIHLp0yOdYthRtF1N7awJCzqu709bcnv+AREQOwYvr1vL155/hjW3bqCkr5/oZJ/C5WacSK8ne9/6iTRAzzjmWZCLZpbyiqpyz/urUCCISEemdpVs2c8OvH6Y1mfkM293exo8W1bOjtZWvf3h21o5TEF1MZhYzs9fM7DfB8wlm9rKZNZjZ/WZWlu1j1gyq5sbvf4LyyjJKYpnTUFFVzgmzj+PUS+qyfTgRkay5/ZUXaUt2/oLbkkzywPKlNLW1Ze04hdKC+AKwEugfPP828G/ufp+Z/RC4Abgj2we96JPnMu3UqTx517M0N7XwobmzOPG86ZRksYkmIpJtq7dtDeshpzQW473dTfQvr83KcSJPEGY2BvgL4Dbg783MgHOAq4OX3AV8jRwkCIDxx4xl3neuzcWuRURyYtrQYazbtatLkkikUoyu6R+6zftRCF+V/x34EpAOng8Bdrr7vvbTemB02IZmNs/M6s2svrGxMeeBiogUgs/NOoWKeOfv95XxOH993AxqysuzdpxIE4SZfRTY4u4L38/27j7f3evcva62NjtNKhGRQnd07TDuvvRyjh82gpgZQyr78fmTT+OWM87K6nGi7mL6EHCJmV0EVJC5BvEfwEAziwetiDHAhghjFBEpOCeOHM0jV308p8eItAXh7re4+xh3Hw9cBTzj7h8HngUuD152HfBoRCGKiBStQrgGEeYfyVywbiBzTeInEccjIlJ0ou5i2s/dnwOeCx6vAWZFGY+ISLEr1BaEiIhETAlCRERCKUGIiEgoJQgREQmlBCEiIqGUIEREJFTBDHONyvPvvsM9S5ewN9HOxZOncunRx1AWi0UdlohI5Io6QXz3xRe487VFtCQTALy28T1+uWIZ9152JaVKEiJS5Iq2i2nj7t38eFH9/uQAmQU3Vm5t5Im33owwMhGRwlC0CeKV99aHLvbdkkyy4K2GCCISESksRZsgUuk0iXQ6tC7ZTbmISDEp2gSxZe+ebut2ZXFNVxGRvqpoE8RbO3Z0W7dpz+48RiIiUpiKNkGUx2KErvrtECsp2tMiIrJf0X4SHjlgMKTDM8TkwYPzHo+ISKE5aIIws/5mNimk/PjchJQfpY1pMOtakTZmVAzPf0AiIgWmxwRhZlcAq4CHzGy5mZ3UofpnuQws17Zt3EPpboeOQ13dsTRU7glJHCJSsFoSCY0+zIGD3Un9ZeBEd99oZrOAn5vZLe7+MNCnP0UHjKoisdM6vwszMGdjeUtkcYlI772yYT23PrOAd3buIF5SwtyjpvGVM8+msrQ06tAOCwdLEDF33wjg7q+Y2dnAb8xsLOGXePuMjZUtGI4fkOc8brzatDGiqESktxq2b+P6Rx+iJZkEIJVK8ciqlWxtbuZHF8+NNrjDxMGuQezueP0hSBYfBuYAx+QwrpxrSrThYW0gd9rTqbzHIyKH5keL6mlPdf6/2pZK8sLad9jQ1BRRVIeXgyWIT3NAV5K77wYuAD6Rq6DyYUi6NDOK6cDpNhyOG6qL1CKF7s3t20iFTJdTFouzdtfO/Ad0GOoxQbj7EnfvMjGRuyfc/Z7chZV7z/z+1UyCOHAkUzLN6kVvRROUiPTajOEjiYfcs9SWSnLk4CERRHT4ifQ+CDMba2bPmtmKYJTUF4LywWa2wMzeDH4PyvaxN7U2Q2nI2y8x1vZwl7WIFIYbZp5IRTzeqYujMh7n0qnTqK2qiiyuw0nUN8olgS+6+zTgFOBGM5sG3Aw87e6TgaeD51nV3q+b9R5iRqK7OhEpGKNr+vPwFVdz1hET6FdayvCqaj4/61S+ec65UYd22Ih0waDgove+UVK7zWwlMJrMRfAPBy+7C3gO+MdsHnvvqIpu65oHFPU6SiJ9xqTBQ7hzzl9GHcZhq1ctCDP7qJm9ZmbbzazJzHabWVaHCZjZeOAE4GVg+L7htcAmIPSqsZnNM7N6M6tvbGw8tAPGSsLvpAZaXTfciIj0tovp34HrgCHu3t/da9y9f7aCMLNq4CHgJnfvlHjc3enmngt3n+/ude5eV1tbm61gsrMfEZE+rrcJYh2wLPiwziozKyWTHO5x918FxZvNbGRQPxLYku3jiohIz3rb2f4l4HEz+x9g/2o67v69D3JwMzPgJ8DKA/b1GJkWyz8Hvx/9IMcREZFD19sEcRuwB6gAyrJ4/A8B1wBLzWxxUPZlMonhATO7AXgXuCKLxxQRkV7obYIY5e7HZvvg7v4C3U/6NzvbxxMRkd7r7TWIx83svJxGIiIiBaW3CeLTwO/NrCVXw1xFRKSw9KqLyd1rch2IiIgUlh4ThJkd5e6rzGxmWL27L8pNWPnghF/+6K5cRKS4HKwF8UXgb4HvhtQ5cE7WIyoIadwd001zIlLEekwQ7v63we+z8xNO4VA7QkSK3cG6mHqcBavDnc99T7cZIFNYotaDiBS5g3UxXRz8HgacBjwTPD8b+BPQdxNETxxS6TSxkMVIRESKxcG6mK4HMLMngWn7ZlgN5kf6Wc6jyzUPWVEumG5q2ZbNTB8xMoKgREQKQ2+/Io/tMP02wGZgXA7iyZuyrT3XZ31WQhGRPqa3U208bWZPAPcGz68EnspNSPnRfx3sLIdkzQGtCDNwZ/yAgZHFJiJSCHp7o9xnzexS4MygaL67P5y7sHLP0uBxul3/YdPePQysrAyte23je/xoUT3v7W7i9HFHcP2MExnSr18OoxURyb9er60ZJITQpGBmL7r7qVmLKg+ah0GsGVKVIdchyKx3G+bR1Su55eknaUsmcWDVtq3cv3wZj199rRZKF5HDSraG6XS/wHOB2jsKUmGf58FF6qqyrrOaJ1Ipvvrc07QGyQGgPZWiqa2VH9S/nLtgRUQikK0E0feu6cYgVUHX1kPwfGdrS5dN3tm5k1S663rViXSa/3n37VxEKSISmeIe6B92/SFoQexqa+tQ5CTTaQZUlJMISRAAQyp1DUJEDi+9vgZxEH3vtuPWFJSXwIE3w6UBg1fWr2NkdTXffP45Hlq5nPZUimOGDeeoIUNZubWxU6Ioi8W49vgT8hu/iEiOZasFcU2W9pM3NX/cBA51Q9fxzZnPcmR1Y6b1kEoDzovr13Hj47/moZXLaUulcDI3z725fTtThwwl1qH14e585bmnWL5lc2TvR0Qk23rVgjCzU4D/BI4msyZ1DNjr7v0B3H1ZziLMkeFNjfxx7m+JxyGZjDF33BukkjDj4b+hZKfz6oZ1bG9tpS2V6rRdMp2itqqahh3bSSWTQOYaxK62Nv7214/wwifmaR4nETks9LaL6XbgKuCXQB1wLTAlV0Hlww+/u5iHnj2Wh54+lp2t/aitbmLOh1fxzOy7OOeJT7Bx797Q7RLpNIs2bqA1SA4d7W5vY+mWzUwfPiLX4YuI5Nyh3AfRYGYxd08BPzWz14Bbchda7vzfm6bQ1O8MXlh9VFBibN4ziPm/OZWGdwbgg2PdblsWi1EZL+10EXsfM6M91TVxiIj0Rb29BtFsZmXAYjP7jpn93SFs+76Y2QVmttrMGszs5mzuu3YSnZLD/t8Gzy47utu7q/e5dvoMKuNdc6thTB+uCf5E5PDQ2w/5a4LXfhbYC4wFLstVUGYWA/4LuBCYBnzMzKZla/+/efFDmXywt5340ncpe2El8eXroCWBlwDJ8KGskEkndaPGcOyw4fQrLQWgtCRGRTzO9867kLJY960PEZG+pLddTFuBdndvBb4efICX5y4sZgEN7r4GwMzuA+YAK7Kx86b4Nko276Hs+VWQTmMOJdt2E397M4lzj6ZkbynpAeFvL5FO8/Cq5fziL6/gmbfX8Py77zCkXz8un3YMY/oPyEZ4IiIFodezuQLnAnuC55XAk2QWEcqF0cC6Ds/XAycf+CIzmwfMAxg3rvezjx91ahsNX10TDGkN9pV2PJ2i8o01xEaOIn18eIJIu7O3PUGspISPTDqSj0w6stfHFRHpS3rbxVTh7vuSA8HjyG8ddvf57l7n7nW1tbW93m5TwyDY3tql3IDU+maGPbK22237lZZy4eQ+PYBLRKRXepsg9prZzH1PzOxEoOtkRdmzgcx1jn3GBGVZsTuR6rbtVFIJpdvbQ+v6lZYya/QYzp0wKVuhZNXyLZu5Z+kSnn77LZLdTAkiItJbve1iugn4pZm9R+aL9ggyiwblyqvAZDObQCYxXAVcna2dl05yKk8pZfdLSeiQC6wcqk8sZdcriU6vr+3XjzPHjeeCI6dw9oSJBXcjXCKV4jOPP8Yf160Fh1iJUVNezv2XXcXYAbouIiLvT28XDHrVzI4CpgZFq9090dM2H4S7J83ss8ATZO7avtPdl2dr/6lyaGqIUzHFaX8zhZVCuh3Kjy2laWGa3RcO6bLNbbPPK9gRSncteY0/rlv755v3UtCSTPK53/2aR67662iDE5E+q1ddTGZWAXwO+AbwdeDGoCxn3P1xd5/i7pPc/bZs7tvKjcE3G22r0nhtOUyqgsFltC5JMuAfSmlu7/zWdrW18dSahmyGkFX3LXu9y53daXdWbdtKYzd3hIuIHExvr0HcDRxDZj6m24PHP89VUDmXgoqT4gy5vZLSQSn8rWbiA1IM/tdK+s0upbp+R6eXt6dSvLFta0TBHlx7OhVaXmLWbZ2IyMH09hrEse7e8Ua1Z80sK/ckRCFdCt7ulE2PUfujPw/GcndSjSkSE6op2ZMgXV26v25pNzO1pt25b9nr/GzxIvYmEsyeMJHPn3waQ/O4RvXFU47iJ68tpP2AiQWHVVUxqromb3GIyOGlty2IRcGMrgCY2clAfW5CyoO9sO2mZkhlkgJkfnsbbL+lldaJ/Slf17lr5vl332Htzp1ddnXrMwu47Q/P0bBjOxv37Ob+5Uu5+N6f0xQyV1OufOrEWRwxYOD+O7vLYzGqSkv59/P/AiuwC+oi0nf0tgVxIvAnM9t3g8A4YLWZLQXc3Y/PSXQ5Eq8sIZ2ALVfsofL8UuKTYiSWpWhe0I4PjWEpp3z1Dlqm9t+/oFDKnb+4924+VXcyHxo7junDR/Dent08smpFpynBM1N/t/LA8qV8cmZdXt5PTXk5v/7YNfy+4Q1e2bCBsf37c9m0Y/PaihGRw09vE8QFOY0izwZNLGdtPEblrj3s+WmHca4lsOGyIylfu4d+DbtJPb+Jpg+P2l+9N5Hguy++wA9ejTOyuoYbZtZRGot1WTOiNZnkxfVr85YgIDPL7CVTj+aSqUfn7Zgicnjr7TDXd3MdSD6dP+A8ftr6BOlWowTfX+5pGH7vGt775GR2nzGCso0tkHKIde6maUkmeWfXTuYvfJVU2g/cPXEzjhgwKOfvQ0Qkl3I6ZXehOm/ibOKrWilJdf5wNyC2O4GVlJCuKqX1yP7dnqG0O+/u2kkyley0/ChAaSzGNdNn5CZ4EZE8KcoEMbRqaI/1VUs7DHM9yEXehDsOlJaUUBGPM7K6mv/+6FwmDFQLQkT6tl6vKHc4iVlsf8fSgR//BplupUPan3H1cdP55Al1jKqp0cghETksFGULoqSkBKNrcgBIx422I6oPaX+JdJr3djcxun//XieHRCpFW8i61iIihaIoWxDdcYASo/mYDt1D7gftZqqIx6kbObpXx9jR0sKtzyzgqbffIu3O9OEj+Nbs85gypOduLxGRfCvKFkS6m+knDLBEmvjWVqwthbWloLXnqSpKgOqyMq489riDHtfdufpXD+yfjjvtzuJNG7nil/exoyWXs6eLiBy64kwQniAdD28VmMOY7yxh7LeWMP7L9ZS09twNdNb4ifz6qmvoX37wuQtffW8D65p2keiwVoOTmUvpgRXLDuk9iIjkWlEmiFhJOc2Tqgm7FO1Aclgl1paibVQlg3+7jqrS0pBXwoSBg/jxxXMZXt27axbv7NxB2EFbk0neLODJAEWkOBVlgjAztl05iVR1HO9wBrwEtp8/mvVfOp6m04ZT0pykbFs7F0yazHXHzyBmRrykhLJYjClDhnL33MsPacTSUUNr8ZAMURmPM2PEyGy8NRGRrCnai9SpQeWs/8fjGfDMRvqt2klyYDm7zh5Jy5TMCmytE6oZ+IdNbD1/LNefcCLTaodx8+lnsbxxC/3LyzlycNdFhQ7m+OEjOH74SBZvem//9BwxM2rKypl71LSDbC0ikl9FmyAAUjVlbJ9zBNvnHNG5wp2S1hTNRw3k3I+fwbTaYQCUx+PMHDkqZE+999M5l/JvL/2JB1cspz2V4pwJE7nl9DOpLiv7QPsVEcm2ok4QPWkd04/j58zkXy+4KKv7rYiXcsvpZ3HL6Wdldb8iItlWlNcgeiM1oopFm95ji5bsFJEipQRxIPdOI40eXb0yulhERCJUvF1MTvhcGx0q21IpNuxu4q7Fi9iwu4mZI0dz7sRJxEuUV0Xk8Fe8CQK6n0YjaEFUxOM8uGIZ7tCaStJv2escMWAgD1x+FVW6qCwih7nIvgqb2b+Y2Soze93MHjazgR3qbjGzBjNbbWbn5ySAkm6aD2ZQYpSaYWQWB2pNZe6mbk4kWLNjO/+98JWchCQiUkii7CtZABwbrGf9BnALgJlNA64CjiGz1OkPzCyWt6iCVsUXTzudtHe9qa0tleLR1avyFo6ISFQiSxDu/qS775vo6CVgTPB4DnCfu7e5+9tAAzArJ0GEdS8FZXOPmhY6FQegaxAiUhQK5ZPuE8DvgsejgXUd6tYHZV2Y2Twzqzez+sbGxqwGNKyqmsmDh1ByQBKpiMe5YtqxWT2WiEghymmCMLOnzGxZyM+cDq+5FUgC9xzq/t19vrvXuXtdbW1tNkMH4PsXfpTBlZVUlZZRVhKjMl5K3cjRXH/CiVk/lohIocnpKCZ3P7enejP7G+CjwGz3/R3+G4CxHV42JijLuwkDB/HC9fN4+u232LRnDzOGj2DGiJFaUlREikJkw1zN7ALgS8BZ7t7coeox4Bdm9j1gFDAZiGzYUFksxoVHTonq8CIikYnyPojbgXJgQfCN/CV3/5S7LzezB4AVZLqebnT3npd1ExGRrIssQbj7kT3U3QbclsdwRETkAIUyiklERAqMEoSIiIRSghARkVBKECIiEkoJQkREQilBiIhIqKJNEKW6G1pEpEdFmyCOGz4i6hBERApa0SaIU0eP7bauLJa/5SdERApV0SaIzc17u60rLVGCEBEp2gQxtF9Vt3Wl3S1HKiJSRIo2QZwwovtrEDXlFXmMRESkMBVtgqitqibWzUim8QMG5jcYEZECVLQJYuqQoaQ9fNXpYdXVeY5GRKTwFG2CWLm1kYp4+Gznb27bmudoREQKT9EmiOqysm7rBlZW5jESEZHCVLQJYvLgIdRWdR3JVBGPc930EyKISESksBRtgtjT3s7GpqYu5W3JJKeNGRdBRCIihaVoE8Qvli0hEXKR2oGvPPtU/gMSESkwRZsgnnvn7W7rnlzTkMdIREQKU9EmiCGV/bqtS6XDh7+KiBSTyBOEmX3RzNzMhgbPzcy+b2YNZva6mc3MxXFvOvm0busmDBqUi0OKiPQpkSYIMxsLnAes7VB8ITA5+JkH3JGLY+9oa+n2TmrTWhEiIpG3IP4N+BKZa8P7zAHu9oyXgIFmNjLbB66Il3Y7rfegCs3FJCISWYIwsznABndfckDVaGBdh+frg7Kwfcwzs3ozq29sbDyk408aOIiWZDK07tKp0w5pXyIih6OcJggze8rMloX8zAG+DHzlg+zf3ee7e52719XW1h7Str99c3W3dX9Y+84HCUtE5LAQPhlRlrj7uWHlZnYcMAFYEvT3jwEWmdksYAPQcbm3MUFZVr22aVO3dc8rQYiIRNPF5O5L3X2Yu4939/FkupFmuvsm4DHg2mA00ynALnffmO0YxtT077auNZnK9uFERPqcnLYg3qfHgYuABqAZuD4XBzll7Fh4KbyuqrQ0F4cUEelTCiJBBK2IfY8duDHXx5w4aBDxkhKS6XSXulPGjA3ZQkSkuEQ9zDUyAysqufKY46g4YKhrZTzOZ046OaKoREQKR0G0IKLytbPOYWR1DT9dvJBdbW1MHz6CfzrzbI4cPCTq0EREImfezbKbfU1dXZ3X19dHHYaISJ9iZgvdvS6srmi7mEREpGdKECIiEkoJAtje0szKrY00JxJRhyIiUjCK+iJ1azLB/1rwBAvWNFBaEiPtaT5z0sl8pu5kzegqIkWvqFsQ//Ts0zy1poH2VIq9iXZakkl+8OorPPbGqqhDExGJXNEmiOZEgl+/sYq2VOdpNVqSCe6ofzmiqERECkfRJojdbW1014m0tbk5r7GIiBSiok0QtVVV1JSVdykvMeOkUaHLT4iIFJWiTRAlZnztw+dQEY93KquMl/IPp54eYWQiIoWhqEcxXTR5KjEzvvviH9nW0kzdyNHccsZZjB84KOrQREQiV7QtCIDfvbmam574HeuamtjT3s4f1r3LL5YeuAKqiEhxKtoE0dTWxhcX/J62VJK2VJJEOk1rMsk9S5dQ/17WF7ATEelzijZBPP/u28Ss69tvTSZ5eNWKCCISESksRZsgep7D9vCY4VZE5IMo2gRx1hHjSXnX1eQq4qXMmTotgohERApL0SaI/uUVfHv2+VTE4pTHYsTMqIjHueKYY3UfhIgIRT7M9eKpR1E3ajSPN7xBazLB2eMnMq12WNRhiYgUhKJOEAAja2q44YQTow5DRKTgRNrFZGafM7NVZrbczL7TofwWM2sws9Vmdn6UMYqIFKvIWhBmdjYwB5ju7m1mNiwonwZcBRwDjAKeMrMp7p7qfm8iIpJtUbYgPg38s7u3Abj7lqB8DnCfu7e5+9tAAzArohhFRIpWlAliCnCGmb1sZv9jZicF5aOBdR1etz4oExGRPMppF5OZPQWMCKm6NTj2YOAU4CTgATObeIj7nwfMAxg3btwHC1ZERDrJaYJw93O7qzOzTwO/cncHXjGzNDAU2ACM7fDSMUFZ2P7nA/OD/TWa2bvvM9ShwNb3uW0+9YU4+0KM0DfiVIzZ0xfijCrGI7qriHKY6yPA2cCzZjYFKCNzch4DfmFm3yNzkXoy8MrBdubute83EDOrd/e697t9vvSFOPtCjNA34lSM2dMX4izEGKNMEHcCd5rZMqAduC5oTSw3sweAFUASuFEjmERE8i+yBOHu7cBfd1N3G3BbfiMSEZGOinYupgPMjzqAXuoLcfaFGKFvxKkYs6cvxFlwMVqmV0dERKQztSBERCSUEoSIiIQq+gRhZhcEkwI2mNnNEcYx1syeNbMVweSFXwjKv2ZmG8xscfBzUYdtIpnU0MzeMbOlQTz1QdlgM1tgZm8GvwcF5WZm3w/ifN3MZuYhvqkdztdiM2sys5uiPpdmdqeZbQlG7u0rO+TzZmbXBa9/08yuy1Oc/xJMrPm6mT1sZgOD8vFm1tLhnP6wwzYnBv9OGoL3YjmO8ZD/vrn8/99NjPd3iO8dM1sclEdyHg/K3Yv2B4gBbwETydyHsQSYFlEsI4GZweMa4A1gGvA14B9CXj8tiLccmBC8j1ieYn0HGHpA2XeAm4PHNwPfDh5fBPwOMDJ3zb8cwd94E5mbgSI9l8CZwExg2fs9b2RmH1gT/B4UPB6UhzjPA+LB4293iHN8x9cdsJ9XgtgteC8X5jjGQ/r75vr/f1iMB9R/F/hKlOfxYD/F3oKYBTS4+xrPDLu9j8xkgXnn7hvdfVHweDewkp7noCq0SQ3nAHcFj+8C5nYov9szXgIGmtnIPMY1G3jL3Xu6yz4v59Ldnwe2hxz7UM7b+cACd9/u7juABcAFuY7T3Z9092Tw9CUyMxx0K4i1v7u/5JlPubv583vLSYw96O7vm9P//z3FGLQCrgDu7WkfuT6PB1PsCaIgJwY0s/HACcDLQdFng6b9nfu6IIg2dgeeNLOFlpkPC2C4u28MHm8ChgePoz7HV9H5P2GhnctDPW9Rn0+AT5D5JrvPBDN7zTKTbp4RlI0OYtsnX3Eeyt83ynN5BrDZ3d/sUFZI5xFQgig4ZlYNPATc5O5NwB3AJGAGsJFMszRqp7v7TOBC4EYzO7NjZfBNJ/Lx02ZWBlwC/DIoKsRzuV+hnLeemNmtZGY4uCco2giMc/cTgL8nM01O/4jCK+i/7wE+RucvLoV0Hvcr9gTR64kB88HMSskkh3vc/VcA7r7Z3VPungZ+xJ+7PiKL3d03BL+3AA8HMW3e13UU/N63vkeU5/hCYJG7bw7iLbhzyaGft8hiNbO/AT4KfDxIZgTdNtuCxwvJ9OlPCWLq2A2V8zjfx983knNpZnHgL4H795UV0nnsqNgTxKvAZDObEHzbvIrMZIF5F/RJ/gRY6e7f61Desb/+UmDfiIjHgKvMrNzMJtDLSQ2zEGeVmdXse0zm4uWyIJ59I2quAx7tEOe1waicU4BdHbpUcq3Tt7RCO5cdjn0o5+0J4DwzGxR0oZwXlOWUmV0AfAm4xN2bO5TXmlkseDyRzLlbE8TaZGanBP+2r+3w3nIV46H+faP6/38usMrd93cdFdJ57CRfV8ML9YfMaJE3yGTsWyOM43Qy3QuvA4uDn4uAnwNLg/LHgJEdtrk1iHs1eRrZQGbEx5LgZ/m+cwYMAZ4G3gSeAgYH5Qb8VxDnUqAuT3FWAduAAR3KIj2XZJLVRiBBpi/5hvdz3shcA2gIfq7PU5wNZPrr9/3b/GHw2suCfweLgUXAxR32U0fmQ/ot4HaCmRtyGOMh/31z+f8/LMag/GfApw54bSTn8WA/mmpDRERCFXsXk4iIdEMJQkREQilBiIhIKCUIEREJpQQhIiKhlCBE8sTMfmZmlwePf2xm0z7AvnI6o6sIRLgmtUgxc/dPvt9tzWww8FUy4+MdWGhmj3lm8j6RrFELQopaMA//KjO7x8xWmtmDZtYvqDvJzP5kZkvM7BUzqwle/wczWxT8nNbDvs3MbrfMegNPAcM61D1nZnXB4z2WWW9huZk9ZWazgvo1ZnZJyK5zPqOrCChBiABMBX7g7kcDTcBngqkX7ge+4O7TyUyP0EJmrqSPeGaywiuB7/ew30uDfU8jM0VCd8mkCnjG3Y8BdgPfBD4SbP+NkNcXwoyuUgTUxSQC69z9j8Hj/wd8nsz8Rhvd/VUAz8ysu2/+qdvNbAaQIjOhWnfOBO519xTwnpk9083r2oHfB4+XAm3unjCzpWQWkhGJhFoQIl2n2O5p/pm/AzYD08lcAyjLwvET/uc5b9JAG4BnZiUN+xJXULMQy+FLCUIExpnZqcHjq4EXyEzqNtLMTgIIrj/EgQFkWhZp4Boyy1Z253ngSjOLBTONnp2leCOZ0VWKjxKESCYZ3GhmK8ms83yHZ5agvBL4TzNbQuZCcAXwA+C6oOwoYG8P+32YzCytK8gsFfliNoJ19+3A/yEzXfWrwDeCMpGs0myuUtQss7zrb9z92KhjESk0akGIiEgotSBEPiAzO47MYjUdtbn7yVHEI5ItShAiIhJKXUwiIhJKCUJEREIpQYiISCglCBERCaUEISIiof4/4ttuR0/kaxwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "engine": 1,
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[output:0]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "engine": 0,
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[output:3]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "engine": 3,
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%px\n",
    "import matplotlib.pyplot as plt \n",
    "%matplotlib inline\n",
    "\n",
    "dim_list = [(1,2), (0,2)]\n",
    "labels = kmeans.labels_.numpy()\n",
    "for dims in dim_list: \n",
    "    y = pca.transform(x)\n",
    "    first_feature = y[:,dims[0]].numpy()\n",
    "    second_feature = y[:,dims[1]].numpy()\n",
    "    plt.figure()\n",
    "    plt.scatter(first_feature, second_feature, c=labels)\n",
    "    plt.xlabel(f'pca_dim {dims[0]}')\n",
    "    plt.ylabel(f'pca_dim {dims[1]}')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "11",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}