Qerror_d.ipynb

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    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib_inline.backend_inline\n",
    "\n",
    "# plot()の出力をSVGにする\n",
    "matplotlib_inline.backend_inline.set_matplotlib_formats(\"svg\")\n",
    "\n",
    "# データのロード\n",
    "df = pd.read_csv('./data/qerr_d_out.tsv', sep='\\t')"
   ]
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  {
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   "execution_count": 2,
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   "source": [
    "groupNonNorm = df.query('not norm').set_index('d').groupby('Q-type')\n",
    "groupNorm = df.query('norm').set_index('d').groupby('Q-type')"
   ]
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  {
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   "id": "1843c117-3106-4845-b916-9a2009847105",
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   "source": [
    "以下の2つのプロットにおいて、Quantizer間のV-errとT-errの大小関係が逆転していることに着目する。\n",
    "V-errが学習に使ってないベクトルの誤差、T-errは学習に使ったベクトルの誤差である。\n",
    "V-errはPQが最も小さく続いてRQ、LSQと大きくなっていくが、T-errにおいては逆転してLSQが最も小さくRQ、PQと大きくなっていく。\n",
    "つまりLSQやRQはPQに比べて学習に使ったベクトルの誤差が少ない。"
   ]
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   "source": [
    "groupNonNorm['V-err'].plot(title='V-err for Non normalized vectors', ylabel='V-err', legend=True); None"
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   "execution_count": 4,
   "id": "5fef3cf5-c35b-4452-b63b-254316289668",
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   "source": [
    "groupNonNorm['T-err'].plot(title='T-err for Non normalized vectors', ylabel='T-err', legend=True); None"
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  {
   "cell_type": "markdown",
   "id": "2d453461-7a8f-44ab-9c5e-7cf3dd7c0a36",
   "metadata": {},
   "source": [
    "同様の傾向は単位ベクトルでも同様である。"
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  },
  {
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   "execution_count": 5,
   "id": "2365e611-90de-439a-a81b-edf62e0e28b5",
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   "source": [
    "groupNorm['V-err'].plot(title='V-err for normalized vectors', ylabel='V-err', legend=True); None"
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   "id": "896e4e3d-b823-4a37-b9a8-1c7901602a75",
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   "source": [
    "groupNorm['T-err'].plot(title='T-err for normalized vectors', ylabel='T-err', legend=True); None"
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   "id": "d200ec5e-19da-42d4-aaa8-ac7059fb428b",
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   "source": [
    "以下の6つのプロットは、各QuantizerのV-errとT-errを直接比較している。\n",
    "どのQuantizerにおいてもT-errはV-errよりも小さくなるが、LSQやRQにおける減少幅がPQよりも大きいことが見て取れる。\n",
    "これは上記の結果に合致する。"
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   "execution_count": 7,
   "id": "8bb35b20-a65c-4c25-8c56-a64c66ecffea",
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   "outputs": [],
   "source": [
    "def plotVTerrs(qtype, norm):\n",
    "    df.query('`Q-type`==@qtype & norm==@norm').set_index('d')[['V-err', 'T-err']].plot(title=f\"{qtype}, norm={norm}\")"
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   ],
   "source": [
    "plotVTerrs('PQ', False)\n",
    "plotVTerrs('RQ', False)\n",
    "plotVTerrs('LSQ', False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2241560b-3af2-4670-b11d-07c8b500a9d0",
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   ],
   "source": [
    "plotVTerrs('PQ', True)\n",
    "plotVTerrs('RQ', True)\n",
    "plotVTerrs('LSQ', True)"
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