hyperloglog-rs 0.1.38

A Rust implementation of HyperLogLog trying to be parsimonious with memory.
Documentation
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "36638c1d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "df = pd.read_csv(\"cardinality_benchmark.tsv\", sep=\"\\t\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9a41b419",
   "metadata": {},
   "outputs": [
    {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>bits</th>\n",
       "      <th>exact</th>\n",
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       "      <th>836</th>\n",
       "      <td>17</td>\n",
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       "      <td>17</td>\n",
       "      <td>6</td>\n",
       "      <td>6320623</td>\n",
       "      <td>6.309548e+06</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>840 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     precision  bits    exact  approximation  set\n",
       "0            4     1  6322027   1.806453e+01  NaN\n",
       "1            4     2  6322027   8.614400e+01  NaN\n",
       "2            4     3  6322027   1.378304e+03  NaN\n",
       "3            4     4  6322027   3.528458e+05  NaN\n",
       "4            4     5  6322027   6.123968e+06  NaN\n",
       "..         ...   ...      ...            ...  ...\n",
       "835         17     2  6320623   7.563259e+05  NaN\n",
       "836         17     3  6320623   5.673426e+06  NaN\n",
       "837         17     4  6320623   6.309543e+06  NaN\n",
       "838         17     5  6320623   6.309548e+06  NaN\n",
       "839         17     6  6320623   6.309548e+06  NaN\n",
       "\n",
       "[840 rows x 5 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.rename(columns={\n",
    "    \"hll\": \"approximation\"\n",
    "}, inplace=True)\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4cd87bde",
   "metadata": {},
   "outputs": [],
   "source": [
    "df[\"memory\"] = 2**df.precision * df.bits\n",
    "df[\"label\"] = \"HLL\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "688ead39",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>bits</th>\n",
       "      <th>memory</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "    </tr>\n",
       "  </thead>\n",
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       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>16</td>\n",
       "      <td>3.995576e+13</td>\n",
       "      <td>9.602536e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>32</td>\n",
       "      <td>3.995490e+13</td>\n",
       "      <td>9.602433e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>48</td>\n",
       "      <td>3.993857e+13</td>\n",
       "      <td>9.600470e+09</td>\n",
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       "      <th>3</th>\n",
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       "      <td>4</td>\n",
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       "      <td>3.561976e+13</td>\n",
       "      <td>9.066520e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
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       "      <td>5</td>\n",
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       "      <td>1.066417e+12</td>\n",
       "      <td>1.579815e+12</td>\n",
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       "      <th>79</th>\n",
       "      <td>17</td>\n",
       "      <td>2</td>\n",
       "      <td>262144</td>\n",
       "      <td>3.096641e+13</td>\n",
       "      <td>8.463581e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>17</td>\n",
       "      <td>3</td>\n",
       "      <td>393216</td>\n",
       "      <td>4.153913e+11</td>\n",
       "      <td>1.390349e+10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>17</td>\n",
       "      <td>4</td>\n",
       "      <td>524288</td>\n",
       "      <td>2.717233e+08</td>\n",
       "      <td>4.669639e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>17</td>\n",
       "      <td>5</td>\n",
       "      <td>655360</td>\n",
       "      <td>2.716103e+08</td>\n",
       "      <td>4.668106e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>17</td>\n",
       "      <td>6</td>\n",
       "      <td>786432</td>\n",
       "      <td>2.716086e+08</td>\n",
       "      <td>4.668203e+08</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>84 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    precision  bits  memory          mean           std\n",
       "0           4     1      16  3.995576e+13  9.602536e+09\n",
       "1           4     2      32  3.995490e+13  9.602433e+09\n",
       "2           4     3      48  3.993857e+13  9.600470e+09\n",
       "3           4     4      64  3.561976e+13  9.066520e+09\n",
       "4           4     5      80  1.066417e+12  1.579815e+12\n",
       "..        ...   ...     ...           ...           ...\n",
       "79         17     2  262144  3.096641e+13  8.463581e+09\n",
       "80         17     3  393216  4.153913e+11  1.390349e+10\n",
       "81         17     4  524288  2.717233e+08  4.669639e+08\n",
       "82         17     5  655360  2.716103e+08  4.668106e+08\n",
       "83         17     6  786432  2.716086e+08  4.668203e+08\n",
       "\n",
       "[84 rows x 5 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"squared_error\"] = (df.exact - df.approximation)**2\n",
    "data_hll = df.groupby([\"precision\", \"bits\", \"memory\"])[\"squared_error\"].agg([\"mean\", \"std\"])\n",
    "data_hll = data_hll.reset_index()\n",
    "data_hll"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7560d492",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "for bits in data_hll[\"bits\"].unique():\n",
    "    filtered = data_hll[data_hll.bits == bits]\n",
    "    plt.errorbar(\n",
    "        filtered.memory,\n",
    "        filtered[\"mean\"],\n",
    "        filtered[\"std\"],\n",
    "        marker='^',\n",
    "        label=f\"HLL {bits} bits\"\n",
    "    )\n",
    "if False:\n",
    "    plt.errorbar(\n",
    "        data_minhash.memory,\n",
    "        data_minhash[\"mean\"],\n",
    "        data_minhash[\"std\"],\n",
    "        marker='^',\n",
    "        label=\"MinHash\",\n",
    "        alpha=0.7\n",
    "    )\n",
    "plt.legend()\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "plt.ylabel(\"Cardinality MSE over 1000 random sets\")\n",
    "plt.xlabel(\"Memory required (bits)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f3473e85",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "for bits in data_hll[\"bits\"].unique():\n",
    "    filtered = data_hll[data_hll.bits == bits]\n",
    "    plt.errorbar(\n",
    "        filtered.memory,\n",
    "        filtered[\"mean\"] * filtered.memory,\n",
    "        filtered[\"std\"] * filtered.memory,\n",
    "        marker='^',\n",
    "        label=f\"HLL {bits} bits\"\n",
    "    )\n",
    "\n",
    "if False:\n",
    "    plt.errorbar(\n",
    "        data_minhash.memory,\n",
    "        data_minhash[\"mean\"] * data_minhash.memory,\n",
    "        data_minhash[\"std\"] * data_minhash.memory,\n",
    "        marker='^',\n",
    "        label=\"MinHash\",\n",
    "        alpha=0.7\n",
    "    )\n",
    "plt.legend()\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "plt.ylabel(\"Cardinality MSE times number of bits\")\n",
    "plt.xlabel(\"Memory required (bits)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bdd5c1c2",
   "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": "3.11.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}