lsh_memory_benchmark_2

lsh_memory_benchmark.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "from xxhash import xxh3_64_intdigest as hashfunc\n",
    "from datasketch import MinHash, MinHashLSH\n",
    "import pickle\n",
    "from tqdm.notebook import tqdm\n",
    "from multiprocessing import Pool\n",
    "import pandas as pd\n",
    "import sys\n",
    "import plotly.express as px\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def memory_test(args):\n",
    "    threshold, num_perm, total_sets = args\n",
    "        \n",
    "    old = MinHashLSH(threshold=threshold, num_perm=num_perm)\n",
    "    new = MinHashLSH(threshold=threshold, num_perm=num_perm, hashfunc=hashfunc)\n",
    "    \n",
    "    for n in range(total_sets):\n",
    "        mh = MinHash(num_perm=num_perm, hashfunc=hashfunc)\n",
    "        mh.update(str(n).encode('utf8'))\n",
    "        old.insert(str(n), mh)\n",
    "        new.insert(str(n), mh)\n",
    "        \n",
    "    old_memory = sum([sum([sys.getsizeof(k) for k in ht.keys()]) for ht in old.hashtables])\n",
    "    new_memory = sum([sum([sys.getsizeof(k) for k in ht.keys()]) for ht in new.hashtables])\n",
    "        \n",
    "    return {\n",
    "        'threshold': threshold,\n",
    "        'num_perm': num_perm,\n",
    "        'total_sets': total_sets,\n",
    "        'old': len(pickle.dumps(old)),\n",
    "        'new': len(pickle.dumps(new)),\n",
    "        'old_sys': old_memory,\n",
    "        'new_sys': new_memory\n",
    "    }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "configs = []\n",
    "for threshold in [0.01, 0.1, 0.25, 0.5, 0.8,0.95]:\n",
    "    for num_perm in [256]:\n",
    "        for total_sets in [100, 1000, 10000]:\n",
    "            configs.append((threshold, num_perm, total_sets))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "09929a80d5284168a5e1d034a62e03c8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value=''), FloatProgress(value=0.0, max=18.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "with Pool(8) as p:\n",
    "    results = [r for r in tqdm(p.imap_unordered(memory_test, configs), total=len(configs))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(results)\n",
    "df['reduction'] = 1 - (df['new_sys'] / df['old_sys'])\n",
    "df['total_sets'] = df['total_sets'].astype(str)\n",
    "fig = px.scatter(df, x='threshold', y='reduction', color='total_sets')\n",
    "fig.update_layout({\n",
    "    'title': 'sys.getsizeof Size (bytes)',\n",
    "    'title_x': 0.5\n",
    "})\n",
    "fig.update_yaxes(tickformat='%', title='Memory Reduction')\n",
    "Image(fig.to_image(format=\"png\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(results)\n",
    "df['reduction'] = 1 - (df['new'] / df['old'])\n",
    "df['total_sets'] = df['total_sets'].astype(str)\n",
    "fig = px.scatter(df, x='threshold', y='reduction', color='total_sets')\n",
    "fig.update_layout({\n",
    "    'title': 'Pickle Size (bytes)',\n",
    "    'title_x': 0.5\n",
    "})\n",
    "fig.update_yaxes(tickformat='%', title='Memory Reduction')\n",
    "Image(fig.to_image(format=\"png\"))"
   ]
  }
 ],
 "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": "3.8.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}