Qerror.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_out.tsv', sep='\\t')"
   ]
  },
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   "cell_type": "markdown",
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   "metadata": {},
   "source": [
    "# データの内容とサンプル"
   ]
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Q-type</th>\n",
       "      <th>d</th>\n",
       "      <th>M</th>\n",
       "      <th>nbits</th>\n",
       "      <th>norm</th>\n",
       "      <th>T-num</th>\n",
       "      <th>V-num</th>\n",
       "      <th>C-size</th>\n",
       "      <th>T-ms</th>\n",
       "      <th>VE-ms</th>\n",
       "      <th>VD-ms</th>\n",
       "      <th>TE-ms</th>\n",
       "      <th>TD-ms</th>\n",
       "      <th>V-err</th>\n",
       "      <th>T-err</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>PQ</td>\n",
       "      <td>32</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "      <td>False</td>\n",
       "      <td>10000</td>\n",
       "      <td>20000</td>\n",
       "      <td>4</td>\n",
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       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>RQ</td>\n",
       "      <td>32</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "      <td>False</td>\n",
       "      <td>10000</td>\n",
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       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>LSQ</td>\n",
       "      <td>32</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "      <td>False</td>\n",
       "      <td>10000</td>\n",
       "      <td>20000</td>\n",
       "      <td>4</td>\n",
       "      <td>13717</td>\n",
       "      <td>1242</td>\n",
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       "      <td>630</td>\n",
       "      <td>0</td>\n",
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      "text/plain": [
       "   Q-type   d  M  nbits   norm  T-num  V-num  C-size   T-ms  VE-ms  VD-ms  \\\n",
       "0      PQ  32  4      8  False  10000  20000       4    609     11      1   \n",
       "26     RQ  32  4      8  False  10000  20000       4   8344    139      0   \n",
       "52    LSQ  32  4      8  False  10000  20000       4  13717   1242      0   \n",
       "\n",
       "    TE-ms  TD-ms     V-err     T-err  \n",
       "0       5      1  0.066315  0.058327  \n",
       "26     75      0  0.079207  0.061852  \n",
       "52    630      0  0.077733  0.061825  "
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   "source": [
    "# 基準となる計測結果\n",
    "df.query('d==32 & M==4 & nbits==8 & norm==False & `V-num`==20000')"
   ]
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   "source": [
    "32次元のベクトル10,000個を各Quantizerに学習させ、後に20,000個のベクトルをエンコード&デコードし、どれだけの誤差が生じたかを計測している。\n",
    "誤差は平均二乗誤差とし `sum(({decoded} - {original}) ^2) / sum(original ^2)` という計算で求める。"
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   "source": [
    "# 個々のパラメータと平均二乗誤差(`V-err`)との相関を見る\n",
    "\n",
    "以下ではパラメータを1つだけいじり`V-err`に与える影響を見ていく。"
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       "LSQ     False    Axes(0.125,0.11;0.775x0.77)\n",
       "        True     Axes(0.125,0.11;0.775x0.77)\n",
       "PQ      False    Axes(0.125,0.11;0.775x0.77)\n",
       "        True     Axes(0.125,0.11;0.775x0.77)\n",
       "RQ      False    Axes(0.125,0.11;0.775x0.77)\n",
       "        True     Axes(0.125,0.11;0.775x0.77)\n",
       "Name: V-err, dtype: object"
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   ],
   "source": [
    "# M (モジュール分割数)が大きくなった際のV-err(平均二乗誤差)の推移をみる\n",
    "# Mが大きくなるほどV-errは小さくなる\n",
    "df_M = df.query('d==32 & nbits==8 & `V-num`==20000').sort_values(['Q-type', 'M']).set_index('M')\n",
    "df_M.groupby(['Q-type', 'norm'])['V-err'].plot(ylabel='V-err', legend=True)"
   ]
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  {
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   "execution_count": 4,
   "id": "2eb8c899-706b-47c7-a2a0-cb56959e878b",
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       "        True     Axes(0.125,0.11;0.775x0.77)\n",
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       "        True     Axes(0.125,0.11;0.775x0.77)\n",
       "RQ      False    Axes(0.125,0.11;0.775x0.77)\n",
       "        True     Axes(0.125,0.11;0.775x0.77)\n",
       "Name: V-err, dtype: object"
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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
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   ],
   "source": [
    "# d 次元が変化した際のV-err平均二乗誤差の推移をみる\n",
    "# dが大きくなるほどV-errは大きくなる\n",
    "df_d = df.query('M==4 & nbits==8 & `V-num`==20000').sort_values(['Q-type', 'd']).set_index('d')\n",
    "df_d.groupby(['Q-type', 'norm'])['V-err'].plot(ylabel='V-err', legend=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f755cb49-7ebb-4544-b961-40cc627e4955",
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       "Q-type  norm \n",
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       "        True     Axes(0.125,0.11;0.775x0.77)\n",
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       "        True     Axes(0.125,0.11;0.775x0.77)\n",
       "RQ      False    Axes(0.125,0.11;0.775x0.77)\n",
       "        True     Axes(0.125,0.11;0.775x0.77)\n",
       "Name: V-err, dtype: object"
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     "execution_count": 5,
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       "<Figure size 640x480 with 1 Axes>"
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   ],
   "source": [
    "# nbitsが変化した際のV-err平均二乗誤差の推移をみる\n",
    "# nbitsが大きくなるほどV-errは小さくなる\n",
    "df_nbits = df.query('d==32 & M==4 & `V-num`==20000').sort_values(['Q-type', 'nbits']).set_index('nbits')\n",
    "df_nbits.groupby(['Q-type', 'norm'])['V-err'].plot(ylabel='V-err', legend=True)"
   ]
  },
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     "execution_count": 6,
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   "source": [
    "# V-numが変化した際のV-err平均二乗誤差の推移をみる\n",
    "# V-numが大きくなってもV-errは変化しない\n",
    "df_vnum = df.query('d==32 & M==4 & nbits==8').sort_values(['Q-type', 'V-num']).set_index('V-num')\n",
    "df_vnum.groupby(['Q-type', 'norm'])['V-err'].plot(ylabel='V-err', legend=True)"
   ]
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