yannvgn/laserembeddings-figure-generation.ipynb

## laserembeddings-figure-generation.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Figure generation for https://github.com/yannvgn/laserembeddings/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn.decomposition import PCA\n",
    "from laserembeddings import Laser\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.markers import MarkerStyle\n",
    "\n",
    "%config InlineBackend.figure_format='retina'\n",
    "plt.style.use('seaborn-darkgrid')\n",
    "\n",
    "np.set_printoptions(precision=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's first comute embeddings from sample sentences\n",
    "\n",
    "We will need Japanese extra, (`pip install laserembeddings[ja]`), and of course the models need to be downloaded: `python -m laserembeddings download-models`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "l = Laser()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "sentences = [('J’adore les pâtes.', 'fr'), ('I love pasta.', 'en'),\n",
    "             ('Ich liebe Pasta.', 'de'), ('Берегись собаки!', 'ru'),\n",
    "             ('Beware of the dog!', 'en'), ('¡Cuidado con el perro!', 'es'),\n",
    "             ('本当に？', 'ja'), ('Really?', 'en'), ('Αλήθεια;', 'el')]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "samples = np.vstack([l.embed_sentences([s], lang) for s, lang in sentences])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's print the embeddings in a normalized way"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3.22e-03, -9.98e-05, ..., 2.45e-03]\n",
      "[-5.20e-04, -2.83e-05, ..., 8.11e-03]\n",
      "[5.34e-04, -3.62e-05, ..., 6.31e-03]\n",
      "[4.96e-03, 6.68e-04, ..., -1.83e-03]\n",
      "[8.92e-03, -1.20e-04, ..., -3.04e-03]\n",
      "[6.65e-03, -5.99e-05, ..., -1.23e-03]\n",
      "[1.74e-03, 9.14e-05, ..., 2.34e-02]\n",
      "[3.03e-05, 8.79e-05, ..., 1.08e-02]\n",
      "[-4.75e-04, 4.93e-05, ..., 1.46e-02]\n"
     ]
    }
   ],
   "source": [
    "for s in samples:\n",
    "    print(f'[{s[0]:.2e}, {s[1]:.2e}, ..., {s[-1]:.2e}]')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then let's create a figure for each frame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "samples_pca = PCA(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "samples_projected = samples_pca.fit_transform(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.2 ,  0.18],\n",
       "       [-0.2 ,  0.26],\n",
       "       [-0.19,  0.25],\n",
       "       [-0.16, -0.22],\n",
       "       [-0.2 , -0.24],\n",
       "       [-0.19, -0.24],\n",
       "       [ 0.36,  0.  ],\n",
       "       [ 0.36,  0.01],\n",
       "       [ 0.44,  0.01]], dtype=float32)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "samples_projected"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3K/i22/t6WP1en0TCmjVrlJ+fr4kTJyo1NVVHjx5Vbm6uTp8+rdzc3A6Praur06JFi3Tq1Cndf//9+ru/+zvt2bNH//zP/6yamhr9/d//vU3vAgDQ3zV8+UfVFf1OjWfK2uwLHhWv8PSHNGDM3X0wMv9geyQcPXpU+fn5ysjI0MaNG+VwOGRZllauXKnCwkIVFxdr2rRp7R6/detWnTx5UqtXr9Zjjz0mSXrqqac0b948rV+/Xvfff79uvfVWu94OAKCfunxony5++IZkWcb9jWfK9N1bL+vmuf+k0O+n2jw6/2D7NQnvvvuuJCk7O1sOh0OS5HA4tHz5cjkcDu3cubPD49977z0NGTJE8+bNa9kWERGhpUuX6tKlS/roo498N3gAgF9o+PKPHQZCC8vSxQ/eUMOXf7RnYH7G9kgoLS1VdHS04uLiWm0fPny4Ro4cqcOHD7d7bEVFhZxOpyZOnKibbrqp1b7k5GRJ6vB4AEBgqCv63fUDwcuyVLf3A98OyE/ZGgkej0fnz5/XiBEjjPtjY2P13Xffqaamxri/oqJCkozHDx06VAMHDtQ333zTa+MFAPifxvNnjdcgdHjM16fUeP6sj0bkv2y9JqG2tlaSFBkZadzv3e52uzV48OB2jx80aJDx+IiICLnd7uuOIyoqvFPj7S+Cg5tbzt/G7U+YY99jjn2POW5We/R0t44L/vNpRY0be/3XBdA827qS0NjYKEkKCQkx7vdur6+v7/bx7R0LAAgM1qU6W4+7kdm6khAaGipJamhoMO73eDySpLCwMOP+gQMHtnqd6fjw8OuXXW2tf/0geGvV38btT5hj32OOfY85bna5m3+1XVZwp+bOH+d56FDzCv712LqSEBERoaCgIF24cMG43/tRQXsfR9xyyy2S1O7xFy5cUERERC+MFADgrwbc0b3nHnT3uBuZrZEQEhKimJgYVVZWGvdXVlYqOjpaUVFRxv0jR45sed21/vKXv6i+vl6jRo3qtfECAPxP8G23K3hUfNeOGX0nT2A0sP0WyIkTJ6qqqkpnzpxptd3pdKq8vFwTJkxo99iYmBjFxMToyJEjampqarXv0KFDkqSkpKTeHzQAwK+Epz8k/e1ZPNflcCg8ba5vB+SnbI+EBx98UJKUk5PT8he9ZVnasGGDLMtSVlZWh8fPmjVL58+f17Zt21q2XbhwQZs3b1ZoaKgeeOAB3w0eAOAXBoy5WzfP+afrh4LDoZvn/hOPZm6H7Y9lnjRpkjIzM7V7925lZWUpOTlZx44dU2lpqTIyMjR16tSW1+bl5UmSli1b1rJtyZIl+vTTT/XKK6/o8OHDuv3227Vnzx6dPXtWq1atMt46CQAIPKH3puqmwUNVt/cDNX59qs3+4NF3KjxtLoHQAYdldfaRVL2noaFBb775pgoKCuR0OhUTE6NZs2ZpyZIlrW5vHDu2+X7V06db3/Pqcrm0YcMGFRcX69KlSxo9erQWL16smTNndurrV1Vd/1kK/Yk/Xknrb5hj32OOfY85bl9v/hZIf5zn7t7d0CeR0NeIBFyLOfY95tj3mGN7+OM8+8UtkAAAwH8QCQAAwIhIAAAARkQCAAAwIhIAAIARkQAAAIyIBAAAYEQkAAAAIyIBAAAYEQkAAMCISAAAAEZEAgAAMCISAACAEZEAAACMiAQAAGBEJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGRAAAAjIgEAABgRCQAAAAjIgEAABgRCQAAwIhIAAAARkQCAAAwIhIAAIARkQAAAIyIBAAAYEQkAAAAIyIBAAAYEQkAAMCISAAAAEZEAgAAMCISAACAEZEAAACMiAQAAGBEJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGRAAAAjIgEAABgRCQAAAAjIgEAABgRCQAAwIhIAAAARkQCAAAwIhIAAIARkQAAAIyIBAAAYEQkAAAAIyIBAAAYEQkAAMCISAAAAEZEAgAAMCISAACAEZEAAACMiAQAAGBEJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGRAAAAjIgEAABgZHsknDt3TitWrFBKSoqSkpI0f/58HThwoNPHW5al7du3a/bs2UpMTFRSUpLmzZunPXv2+HDUAAAEHlsjweVyaf78+frkk080ZcoUPfzwwyovL9eiRYu0d+/eTp1j1apVeumll+R2u/Xwww/rxz/+sc6cOaNly5bpnXfe8fE7AAAgcDgsy7Ls+mKrVq3Sjh07tHnzZk2bNk2S5HQ6NXfuXAUFBamoqEghISHtHn/8+HFlZWVpwoQJ2rJli8LCwiQ1x8ecOXP017/+VXv37tWwYcM6HEdVlbv33pQNoqLCJUm1tXV9PJIbF3Pse8yx7zHH9vDHeR46NLJbx9m2knDx4kUVFhYqISGhJRAkafjw4VqwYIGcTqdKSko6PIf3I4WlS5e2BIIkDRkyRPPmzZPH49HBgwd98wYAAAgwwXZ9oS+++EIej0fJyclt9nm3HTp0SOnp6e2eY/LkyQoLC9Pdd9/dZp93BaKuzn/KDgCA/sy2SKioqJAkjRgxos2+2NhYSdI333zT4TkmT56syZMnG/cVFRVJksaMGdODUQIAAC/bIqG2tlaSNGjQoDb7IiObPytxu7t3rUBBQYGOHTumuLg4fe9737vu672fJ/mL4ODmT4X8bdz+hDn2PebY95hjewTSPPc4ElJTU/Xtt992+JrHHntMgwcPliTjhYnebfX19V3++gcOHNDq1as1YMAAvfzyywoK4tEPAAD0hh5HQnp6umpqajp8TWJiolwulySpoaGhzX6PxyNJCg/vWpUVFxfrpz/9qRobG7Vu3TqNHz++U8f50xWpkn9eSetvmGPfY459jzm2hz/Oc3fvbuhxJDz//POdet3OnTslmT9S8G6LiIjo9NfduXOnfvGLX8jhcOjVV1/VT37yk04fC/S2y/9VpEt7P1BY2lyFJrd/8S0A+BPbrkkYOXKkJKmysrLNPu+2UaNGdepcmzdvVk5OjgYOHKicnBylpaX12jiBrrp8cI8uFrwlSbr44ZuS1aTQH/yoj0cFAD1nWyQkJCQoNDRUhw8fbrPv0KFDkqSkpKTrnmfr1q3KyclRRESE3njjDd1zzz29Plags64OBC/vfxMKAPydbVf5hYeHa/r06Tp27FirRzA7nU799re/1bBhwzR16tQOz3Hy5En96le/UkhIiN5++20CAX3KFAheFwve0uWD/D4RAP7NtpUESVq+fLn279+vZ555RjNnzlR0dLQ+/vhjVVdXKy8vr9WdD2VlZSoqKlJ8fHzLA5by8vLU2NiohIQElZSUGJ/QmJKSogkTJtj2nhCYOgoEL1YUAPg7WyMhJiZG+fn5Wr9+vYqLi3XlyhWNGzdOv/rVr9o8JKmsrEyvvfaaZs+e3RIJR44ckdS8onDy5Enj14iMjCQS4FOdCQQvQgGAP7P1Fzz1F/yCJ1zr2jlu726FrgTC1W6e/UTAhwI/x77HHNvDH+e5z26BBG407d2t0N1AkFhRAOCfiATgb777f5+q5nfvyLp8sdX2iwVvqeHMn+Q5/h89Ov/FgrckRxDPUQDgN3iGMSDpv//vblVte61NIHj1NBC8Lu37sFfOAwB2YCUBAa8nHyN0VVjqHFu+DgD0BlYSENDsDISbZz/BRw0A/AqRgIBleyBw0SIAP0MkICARCABwfUQCAg6BAACdQyQgoBAIANB5RAICxuX/Kur1QAiZMMW4nUAAcCMgEhAwLu39oFfPd/PsJxT56DO6efYTbbYTCABuBEQCAkZY2txeO9fVIRD6gx/p5jlPKihqiG6e8ySBAOCGwcOUEDBCk9Mlq6nHHzmYVgpCk9N5BgKAGw4rCQgooT/4UZuPB7qCjxIABBIiAQGnu6FAIAAINEQCAlJXQ4FAABCIiAQErM6GAoEAIFBx4SICmvcvf9PFjI6wCIXfP58LEgEELCIBAS/0Bz9SWFiIXO+93rKN1QMAIBIASdIt92XKERSk6n9/X2Gpc1g9AAARCUCLQSkz1HT3/+rrYQBAv8GFiwAAwIhIAAAARkQCAAAwIhIAAIARkQAAAIyIBAAAYEQkAAAAIyIBAAAYEQkAAMCISAAAAEZEAgAAMCISAACAEZEAAACMiAQAAGBEJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGRAAAAjIgEAABgRCQAAAAjIgEAABgRCQAAwIhIAAAARkQCAAAwIhIAAIARkQAAAIyIBAAAYEQkAAAAIyIBAAAYEQkAAMCISAAAAEZEAgAAMCISAACAEZEAAACMiAQAAGBEJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGRAAAAjIgEAABgRCQAAAAjIgEAABgRCQAAwIhIAAAARrZHwrlz57RixQqlpKQoKSlJ8+fP14EDB7p9vrKyMiUkJGjlypW9OEoAAGBrJLhcLs2fP1+ffPKJpkyZoocffljl5eVatGiR9u7d2+XzNTY26vnnn1djY6MPRgsAQGALtvOLbdy4UX/+85+1efNmTZs2TZK0ePFizZ07V7/85S+VkpKikJCQTp/vrbfe0qlTp3w1XAAAApptKwkXL15UYWGhEhISWgJBkoYPH64FCxbI6XSqpKSk0+f76quvtGnTJt13332+GC4AAAHPtkj44osv5PF4lJyc3Gafd9uhQ4c6da6mpia98MILio2N1dNPP92r4wQAAM1s+7ihoqJCkjRixIg2+2JjYyVJ33zzTafOtXXrVh0/flzbtm3r0scTAACg82yLhNraWknSoEGD2uyLjIyUJLnd7uue5+zZs9q4caOysrJ0zz33qKysrMtjiYoK7/IxfSk4uHnBx9/G7U+YY99jjn2PObZHIM1zjyMhNTVV3377bYeveeyxxzR48GBJMv7L37utvr7+ul/vxRdfVGRkpFasWNGN0QIAgM7qcSSkp6erpqamw9ckJibK5XJJkhoaGtrs93g8kqTw8I6rbMeOHTp48KBef/11RUREdHPEUm1tXbeP7QveWvW3cfsT5tj3mGPfY47t4Y/zPHRoZLeO63EkPP/885163c6dOyWZP1LwbuvoL36n06l169ZpxowZSktL68ZIAQBAV9h2TcLIkSMlSZWVlW32ebeNGjWq3eP3798vt9utTz/9VGPHjm2zv6CgQAUFBcrOztayZct6Z9AAAAQw2yIhISFBoaGhOnz4cJt93lsfk5KS2j0+Pj5e2dnZbbZXVVUpPz9f48aNU3p6uu69997eGzQAAAHMtkgIDw/X9OnT9dFHH2nv3r0tHxk4nU799re/1bBhwzR16tR2j4+Pj1d8fHyb7WVlZcrPz1d8fDwrCAAA9CJbH8u8fPly7d+/X88884xmzpyp6Ohoffzxx6qurlZeXl6rOx/KyspUVFSk+Ph4paen2zlMAAAgm3/BU0xMjPLz85WWlqbi4mLt3LlTI0aM0FtvvdUmBMrKyvTaa6+pqKjIziECAIC/cViWZfX1IOxWVXX9hzb1J/54u42/YY59jzn2PebYHv44z929BdLWlQQAAOA/iAQAAGBEJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGRAAAAjIgEAABgRCQAAAAjIgEAABgRCQAAwIhIAAAARkQCAAAwIhIAAIARkQAAAIyIBAAAYEQkAAAAIyIBAAAYEQkAAMCISAAAAEZEAgAAMCISAACAEZEAAACMiAQAAGBEJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGRAAAAjIgEAABgRCQAAAAjh2VZVl8PAgAA9D+sJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGR0I+cO3dOK1asUEpKipKSkjR//nwdOHCg2+crKytTQkKCVq5c2Yuj9G89nWPLsrR9+3bNnj1biYmJSkpK0rx587Rnzx4fjrp/a2xs1JYtW5SZmanExESlpaVp06ZNamho6NTxtbW1WrNmjVJTUzV+/HjNmTNHu3fv9vGo/UtP5/jEiRN66qmnlJycrLvuukvp6elav3696urqfDxy/9LTeb5aU1OTHnnkEY0dO6MJTH4AAAmnSURBVNYHI7XPTS+99NJLfT0ISC6XS/PmzdPnn3+u6dOnKykpSYcPH9b777+v+Ph4jR49ukvna2xs1NKlS+V0OhUfH6/09HQfjdx/9MYcr1q1Sq+//rpCQ0OVmZmpO+64Q0eOHFFBQYEiIiKUlJRkwzvpX1566SVt3rxZo0eP1owZM+R2u1VYWKivvvpK999/f4fH1tXV6R/+4R+0b98+TZkyRZMmTdKpU6e0Y8cORUdHKzEx0aZ30b/1ZI4PHjyohQsXqry8XKmpqZo0aZJqamr0ySef6MCBA3rggQcUHBxs0zvp33oyz9d655139MEHH0iSli1b5ovh2sNCv/Diiy9acXFx1r59+1q2nT9/3po8ebKVkpJi1dfXd+l8//qv/2rFxcVZcXFx1nPPPdfbw/VLPZ3jY8eOWXFxcdYjjzxi1dXVtWyvqqqyUlJSrLvuustyOp0+G39/dOTIESsuLs5atmyZ1dTUZFmWZTU1NVn/8i//0mauTbw/p9u2bWvZ5na7rZkzZ1rjx4+3XC6XT8fvD3o6xzNmzLDuvPNO6/PPP2/Z1tTU1PL/w9tvv+3T8fuLns7z1crLy63ExMSWP4P9GR839AMXL15UYWGhEhISNG3atJbtw4cP14IFC+R0OlVSUtLp83311VfatGmT7rvvPl8M1y/1xhx7P1JYunSpwsLCWrYPGTJE8+bNk8fj0cGDB33zBvqpd999V5KUnZ0th8MhSXI4HFq+fLkcDod27tzZ4fHvvfdey/x5RUREaOnSpbp06ZI++ugj3w3eT/Rkjr/88kt9/fXXSktLa7Uq43A49PTTT0tSl/5suZH19GfZy7IsvfDCCxo2bJhGjhzpq+HahkjoB7744gt5PB4lJye32efddujQoU6dq6mpSS+88IJiY2Nb/hBA78zx5MmTlZ2drbvvvrvNvpCQEEkKuM94S0tLFR0drbi4uFbbhw8frpEjR+rw4cPtHltRUSGn06mJEyfqpptuarXP+z3p6PhA0ZM5joiI0M9+9jPNnTu3zb5A/ZltT0/m+Wrbt2/XoUOHtGbNGoWGhvpiqLbig6h+oKKiQpI0YsSINvtiY2MlSd98802nzrV161YdP35c27Zta/lDAL0zx5MnT9bkyZON+4qKiiRJY8aM6cEo/YvH49H58+c1fvx44/7Y2FidOXNGNTU1Gjx4cJv9HX1Phg4dqoEDB3b65/5G1dM5vu2227RkyRLjsZ999pmkwPqZbU9P59nr3LlzWr9+vR566CH98Ic/9NVwbcVKQj9QW1srSRo0aFCbfZGRkZIkt9t93fOcPXtWGzduVFZWlu65557eHaSf6605NikoKNCxY8cUFxen733ve90fpJ/xzql3/q51vXnt6HsiNf8ruLvfkxtFT+e4PS6XS7m5uZKkrKysHozwxtBb87x69WqFh4frueee690B9iFWEnwoNTVV3377bYeveeyxx1rK1PQvf++2+vr66369F198UZGRkVqxYkU3Ruuf7J7jax04cECrV6/WgAED9PLLLysoKHC6u7GxUZJ5Tq/e3t68dub4S5cu9XSYfq2nc2zidrv15JNPyuVyacGCBdxBot6Z58LCQpWUlCg3N7fd8PVHRIIPpaenq6ampsPXJCYmyuVySZLxXlyPxyNJCg8P7/A8O3bs0MGDB/X6668rIiKimyP2P3bO8bWKi4v105/+VI2NjVq3bl27S5U3Ku/nre3dQ+6d16sv8rzawIEDW73OdHxXvyc3mp7O8bVqamr0xBNP6OTJk5o2bRrPUPmbns6zy+XS2rVrNX36dGVkZPhmkH2ESPCh559/vlOv8141a1rK8m7r6C9+p9OpdevWacaMGUpLS+vGSP2XXXNsOt8vfvELORwOvfrqq/rJT37S6WNvFBEREQoKCtKFCxeM+73z2t4S7i233CJJ7R5/4cIF3Xrrrb0wUv/V0zm+WkVFhRYvXqyKigqlpqZq48aNPB/hb3o6z2vWrNGVK1e0evVqn42xr/AT0g94b5OprKxss8+7bdSoUe0ev3//frndbn366afGp3sVFBSooKBA2dnZ/v1Qjx7o6RxfbfPmzcrJydHAgQOVk5MTcGHmFRISopiYGOOcSs3zGh0draioKOP+jr4nf/nLX1RfX9/p78mNqqdz7FVWVqbFixerurpas2fP1ssvv0wgXKWn8/z73/9ekpSSkmLcP3bsWMXGxmrfvn29M2Ab8VPSDyQkJCg0NNR4i433tryOnuQXHx+v7OzsNturqqqUn5+vcePGKT09Xffee2/vDdrP9HSOvbZu3aqcnBxFRETojTfeCPgLRCdOnKhdu3bpzJkzrf5CdzqdKi8v19SpU9s9NiYmRjExMTpy5IiamppaXc/Rle/Jja4ncyxJ5eXlWrRokWpqavT444/rueeea3kOAP5HT+bZ9OevJL3//vtyuVzKzs7u1GpPv9TXT3NCs2effdaKi4uzioqKWrZ5nwY4ZcqULj9x0bIs69SpUzxx8So9neMTJ05Yd955p3XXXXdZx48f9/Vw/cL+/ftbnlJ35coVy7K69pS6DRs2WHFxcdZvfvOblm3eJy4mJiZa1dXVPh2/P+jJHF+5csWaM2eOFRcXZ7388st2Ddkv9fRn2WTWrFl+/8RFVhL6ieXLl2v//v165plnNHPmTEVHR+vjjz9WdXW18vLyWl11W1ZWpqKiIn4nQxf1dI7z8vLU2NiohIQElZSUGJ9Ul5KSogkTJtj2nvrapEmTlJmZqd27dysrK0vJyck6duyYSktLlZGR0epfX3l5eZJaP8d+yZIl+vTTT/XKK6/o8OHDuv3227Vnzx6dPXtWq1at6vCe9EDRkzkuKirSiRMnFBISovDw8Jb9VxsyZIgeffRRW95Lf9bTn+UblcOyLKuvB4FmFRUVWr9+vf7zP/9TV65c0bhx4/T000+3eYDPhx9+qJ///OeaPXu2Xn311XbPV1ZWpgcffPC6rwskPZnj73//+/ruu+86PP/Pf/5z/eM//qOvht8vNTQ06M0331RBQYGcTqdiYmI0a9YsLVmypFV4ea+XOX36dKvjXS6XNmzYoOLiYl26dEmjR4/W4sWLNXPmTFvfR3/W3Tl+5ZVXtHXr1g7PPW7cOO3atct3g/cjPf1ZvtYDDzygP/3pT9d9XX9GJAAAAKPAefILAADoEiIBAAAYEQkAAMCISAAAAEZEAgAAMCISAACAEZEAAACMiAQAAGBEJAAAACMiAQAAGBEJAADAiEgAAABGRAIAADAiEgAAgBGRAAAAjIgEAABgRCQAAACj/w8q1aVx4Jq24AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 260
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(1,10):\n",
    "    \n",
    "    fig, ax = plt.subplots(1, figsize=(4, 4))\n",
    "    c='#D76148'\n",
    "    f='none'\n",
    "    \n",
    "    for j in range(i):\n",
    "        ax.scatter(samples_projected[j,0], samples_projected[j,1], marker=MarkerStyle('^' if j < 3 else 'D' if j < 6 else 'o', f), color=c)\n",
    "\n",
    "    ax.set_xlim(-.5,.5)\n",
    "    ax.set_ylim(-.5,.5)\n",
    "    plt.savefig(f'plot{i}.png', facecolor=fig.get_facecolor(), edgecolor='none', dpi=144)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ml",
   "language": "python",
   "name": "ml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}