257 lines
168 KiB
Plaintext
257 lines
168 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 209,
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"\n",
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"plt.rcParams[\"font.family\"] = \"Times New Roman\"\n",
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"plt.rcParams[\"font.size\"] = 16\n",
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"\n",
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"g_label_fontsize = 16\n",
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"\n",
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"colors = [\n",
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" \"#455D7A\",\n",
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" \"#233142\",\n",
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" \"#F95959\",\n",
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"]\n",
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"\n",
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"edgecolors = [\n",
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" \"#FFFFFF\",\n",
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" \"#FFFFFF\",\n",
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" \"#FFFFFF\",\n",
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"]\n",
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"\n",
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"hatches = [\"\\\\\\\\\", \"\", \"\"]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 210,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 2100x840 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax = plt.subplots(\n",
|
|
" figsize=(7, 14 / 5), ncols=1, nrows=1, constrained_layout=True, dpi=300\n",
|
|
")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 211,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"labels_name = [\n",
|
|
" \"ModelA\\n8FSDP\",\n",
|
|
" \"ModelA\\n16FSDP\",\n",
|
|
" \"ModelB\\n8FSDP\",\n",
|
|
" \"ModelB\\n16FSDP\",\n",
|
|
" \"ModelC\\n8FSDP\",\n",
|
|
" \"ModelC\\n16FSDP\",\n",
|
|
" \"ModelD\\n8FSDP\",\n",
|
|
" \"ModelD\\n16FSDP\",\n",
|
|
"]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 212,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# memory cost\n",
|
|
"data_a = {\n",
|
|
" labels_name[0]: [53, 53, 65], # 22.64\n",
|
|
" labels_name[1]: [53, 53, 65], # 22.64\n",
|
|
" labels_name[2]: [35, 35, 48], # 37\n",
|
|
" labels_name[3]: [35, 35, 48], # 37\n",
|
|
" labels_name[4]: [53, 53, 65], # 22.64\n",
|
|
" labels_name[5]: [53, 53, 65], # 22.64\n",
|
|
" labels_name[6]: [53, 53, 65], # 22.64\n",
|
|
" labels_name[7]: [53, 53, 65], # 22.64\n",
|
|
"}"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 213,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"legend_labels = [\"FSDP\", \"XLA\", \"DLRover-Lynx\"]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 214,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bar_width = 0.2\n",
|
|
"group_spaing = 0.15\n",
|
|
"\n",
|
|
"group_positions = {}\n",
|
|
"current_pos = 0\n",
|
|
"\n",
|
|
"for x_label, y_data in data_a.items():\n",
|
|
" group_positions[x_label] = []\n",
|
|
" for i in range(len(y_data)):\n",
|
|
" group_positions[x_label].append(current_pos)\n",
|
|
" current_pos += bar_width\n",
|
|
" current_pos += group_spaing\n",
|
|
"\n",
|
|
"group_centers = {}\n",
|
|
"for x_label, positions in group_positions.items():\n",
|
|
" group_centers[x_label] = sum(positions) / len(positions)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 215,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5, 1.0, '(a)')"
|
|
]
|
|
},
|
|
"execution_count": 215,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"label_set = set()\n",
|
|
"\n",
|
|
"for x_label, y_data in data_a.items():\n",
|
|
" positions = group_positions[x_label]\n",
|
|
" for i, (pos, value, color, edgecolor, label, hatch) in enumerate(\n",
|
|
" zip(\n",
|
|
" positions,\n",
|
|
" y_data,\n",
|
|
" colors,\n",
|
|
" edgecolors,\n",
|
|
" legend_labels,\n",
|
|
" hatches,\n",
|
|
" )\n",
|
|
" ):\n",
|
|
" if label in label_set:\n",
|
|
" local_label = None\n",
|
|
" else:\n",
|
|
" local_label = label\n",
|
|
" label_set.add(local_label)\n",
|
|
"\n",
|
|
" ax.bar(\n",
|
|
" pos,\n",
|
|
" value,\n",
|
|
" width=bar_width,\n",
|
|
" color=color,\n",
|
|
" edgecolor=edgecolor,\n",
|
|
" hatch=hatch,\n",
|
|
" label=local_label,\n",
|
|
" )\n",
|
|
"\n",
|
|
"\n",
|
|
"ax.set_xticks(list(group_centers.values()))\n",
|
|
"ax.set_xticklabels(list(data_a.keys()))\n",
|
|
"\n",
|
|
"ax.set_ylim(0, 85)\n",
|
|
"ax.set_yticks([0, 40, 80])\n",
|
|
"ax.set_yticklabels([\"0\", \"40\", \"80\"], rotation=90, ha=\"center\", va=\"center\")\n",
|
|
"\n",
|
|
"ax.tick_params(axis=\"x\", bottom=False, labelsize=11, pad=1)\n",
|
|
"ax.tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
|
|
"\n",
|
|
"ax.set_ylabel(\"Peak Memory (GB)\", fontsize=g_label_fontsize)\n",
|
|
"ax.set_title(\"(a)\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 216,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.legend.Legend at 0x7f9ea8279910>"
|
|
]
|
|
},
|
|
"execution_count": 216,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"ax.legend(\n",
|
|
" ncol=3,\n",
|
|
" loc=\"upper center\",\n",
|
|
" frameon=False,\n",
|
|
" shadow=False,\n",
|
|
" fontsize=g_label_fontsize,\n",
|
|
" bbox_to_anchor=(0.5, 1)\n",
|
|
")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 217,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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G2Yw5duxYp3OBd5FBMgjvIHvmyV52nvil7rVr1+xer549ezZP4xZ0ZJAMGkUGYVSAAIAXPPnkk1K8eHHNtjfffFN3/5SUFHn//fdFRGTcuHF5Ovfbb79t/bp9+/ZisVicHtOvXz8JCQmxPj958qQsWbLEZr8pU6ZYv27btq2UKVPG6dh33nmn033S0tLk008/FRGR5s2bO92/ZMmSNts2btzo9LjcWr58uZw4cUIqV64sPXr00N3vySef1Dy/ceOGzJs3z2Pzgj4ymIUMkkFvIYdZzJBDEZGdO3dKWlqaqFsL2OXmzZty+fJlOXDggHz77bcydOhQCQ8Pt+4/Z84cadasmbz22mty5coVj84NtshgFjJIBr2FHGbxlxwmJSXZbCtSpEiexoT3kMEsZBD5iexl8ZfseVpgYKDd7cHBwfk8k4KBDGYhg7eQQRjFwgoAXhEeHi6PP/64ZtvChQvlr7/+srv/F198IefPn5dmzZpJ+/btc33e3bt3y+HDh63PIyMjDR0XFhYmnTp10myLjY3VPN+7d69s27bN+tzIRYaI2FzE2bN7927rf+ydO3euWCwWh4+goCCbMU6fPm1oPrkxY8YMEREZMWKE3XNnql27trRt21az7eOPPxallMfmBvvIYBYySAa9hRxmMUMORURKly6tuRkPCgqSEiVKSL169aRfv37y6aefyunTp2XixIlSqFAhERH566+/ZOLEiXL77bfLmjVrPDo/aJHBLGSQDHoLOcziLzm0N8/U1NQ8jQnvIYNZyCDyE9nL4i/Z87RLly7ZbAsKCrL7C2rkHRnMQgZvIYMwSv+/vAOAhz377LPywQcfSEpKioiIpKeny7Rp0+Tjjz/W7JeRkSHTp08XkbyvCM35H0tLly5t+NgmTZrI0qVLrc+3bNnicOyqVau6PkEd27dvt37dunVrufvuu10eo0aNGm6bT3aHDh2StWvXSnBwsAwfPtzp/k8++aRs2LDB+vzYsWPy888/21wcwvPIoHFkEJ5CDo3z5Ry6IiwsTF555RVp27atdO3a1fqvDuPi4qRbt26yatUq6dChg5dnWXCQQePIIDyFHBrnCzksVaqUzbZr167laUx4Fxk0jgzCnciecb6QPU+z90vd0qVLG3o3A+QOGTSODAJZWFgBwGsiIiJk4MCB1reREhGZP3++TJ48WcqXL2/dtnTpUjl69KjUrFlTevbsmadzHjhwQPPclbdyatCggeb52bNnNc9zXsxkf5vhvDp37pz168aNG8vrr7/utrHzKvNfyleoUMH6lmiOpKWlicVi0fwL+ZkzZ/JLXS8gg8aRQXgKOTTOl3OYG+3atZOpU6fK008/bd2WmpoqjzzyiBw5csStPzvoI4PGkUF4Cjk0zhdyWL16dZttvv4vEOEYGTSODMKdyJ5xvpA9Tzty5IjNtiZNmnhhJgUHGTSODAJZ+CgQAF41duxYCQjI+r+i5ORkeffddzX7vPXWW3b3zY24uDjN86tXrxo+tmzZsprnqamp1hWtIrYXM3mda3aXL1+2fv3vv/+6bdy8SkhIkC+//FJERE6dOiVvvPGG08fUqVNtPnZg5cqVcvLkSS+8ApBBY8ggPIkcGuOrOcyLxx57zOYzT8+fPy9z58710owKJjJoDBmEJ5FDY3whhzExMTbbjh075oWZwJ3IoDFkEO5G9ozxhex52saNG2228S5qnkcGjSGDQBYWVgDwKnsrPT/++GPrZ3Zt2LBBduzYYV1Bmlc5P98r58WMIzlXeQYHB2tWlWa/wBARSUxMzMUMncv+WWne9tlnn8n169elY8eOopQy/Pjnn380fxYZGRkya9YsL76SgosMuo4Mwt3Ioet8KYd5UaRIEenVq5fN9tWrV3thNgUXGXQdGYS7kUPXeSuHVapUsfkX80eOHJH4+HivzAfuQQZdRwbhDmTPdWa5Ds1p7dq1Ntvuu+8+L8ykYCGDriODKOhYWAHA68aPH695npiYKB999JGIZK0IHT16tEtvjaUn58rOw4cPGz62UKFCmuc1a9bUPA8NDdU8/+eff1ycnb7sn6F56tQpm7cN84aMjAyZOXOmiNz683FFxYoV5cEHH9Rsmzt3rmaVLfIPGXSODMLTyKFzvphDd8j5MxTh7Zy9gQw6RwbhaeTQOV/J4ZAhQzTPlVLy888/e2UucB8y6BwZhCeQPed8JXue8vPPP8sff/yh2dapUyepU6eOl2ZUsJBB58ggkIWFFQC8rmnTptK+fXvNtvfee0+2b98uP/74o4SHh8uIESPccq5GjRppnu/Zs0cyMjIMHXvt2jXN85xvv5j9s9dERHbv3u36BHVERkZqnk+bNs2l4/ft2yfPPPOM2+YjcuujA/766y+pWbOmdOnSxeXjR40apXl+8eJFWbhwobumBxeQQefIIDyNHDrnizl0B3v/ccYd/8EGriGDzpFBeBo5dM5Xcjhs2DCbnHzxxRd5Hje7tLQ0SUhIcOuYcIwMOkcG4QlkzzlfyZ6nvPnmmzbbJkyY4IWZFExk0DkyCGRhYQUAn5BzZeiFCxfk/vvvFxGRJ554QooXL+6W8+T8XKxLly4ZfvuqCxcuaJ7nfJuwZs2aaZ6vX78+V//6297FVM4Lpa+++kpWrlxpeMyXXnpJSpcu7fJcHJkxY4aIiDzzzDNisVhcPj4mJkYaN26s2Zb5r++R/8hgFjIIbyGHWfwlh+6Q819FiIg0aNDACzMBGcxCBsmgt5DDLL6cw3LlysnYsWM121avXi179uzJ89iZxo8fLx9++KHbxoMxZDALGSSD+YnsZfHl7HnC3LlzZf369ZptAwcOlNatW3tpRgUTGcxCBskgHGNhBQCfcM8999j8gu/ChQsSHBzs1tWM9evXl+joaM02o6v6s78112233SYdO3bUfP/ee+/VPL98+bIsWrTI5TnevHnTZlvdunWlatWq1udKKXn44Ydl48aNTsebOXOmrFq1Snr37u3yXPT8/vvvsmbNGilRooQMGjQo1+OMHDlS83zHjh2yY8eOvE4PuUAGs5BBMugt5DCLP+TQHVJTU2Xp0qU22/v27euF2YAMZiGDZNBbyGEWX8/hhAkTpFatWpq5jBw5UtLT0/M89sKFC+Xnn3+WF154Ic9jwTVkMAsZJIP5iexl8fXsudPevXtt/rtM7dq15eOPP/bSjAouMpiFDJJBOMbCCgAek72E09LSnO4/btw4m22DBw+WChUquHQue8+ze/nllzXPP//8czl//rzTc2T/vMqJEydKQID2/0LbtGlj83Ze48ePlytXrjgdO7vr16/bbLNYLPLss89qtl25ckU6deokkyZNsntMUlKSvPzyyzJq1Ci59957dT8TTCnl8Lk9mZ8v179/fylWrJjT/fX07dvX5vjp06fnejxokUEy6AwZ9DxyaN4cpqamOt3HmTfeeMPmc0+jo6Nz9fE+sI8MkkFHyGD+IIfmzGFwcLAsXLhQ83neW7dulTFjxjg8zpl169bJ6NGj5bvvvpPChQvnaSzcQgbJoCvIoPuQPXNmT8Txz9eozZs3S8eOHSU5Odm6LSIiQpYuXZqn/86DLGSQDDpCBpFrCgA85Pz580pElIio8+fPO90/LS1NVa9e3XpMQECAOnbsmKFz1apVy3qciKjHH3/c4f79+vXT7N+rVy+H+x89elQVKlRIiYi6++67VXp6ut39fv75Z2WxWDRjt2/fXiUlJdndPyUlRd1zzz2a/d966y27+yYlJal69epp9s18hISEqAceeEA999xzavz48apPnz6qRIkSSkRU4cKF1cGDB3Vf24oVKzRjjR071uHP4sCBAyogIECJiPr5558d7mtE9+7dNee3WCxqz549eR4XZJAMGkMGPYscmjOHSim1detWmzmcOHHC6XGZPvzwQ5ufU3h4uDpy5IjhMeAcGSSDeshg/iGH5s2hUkr99NNPqmjRoppjR44cqVJTUw0dn11sbKwqU6aMWr9+vcvHQh8ZJINGkUH3Invmzd62bdtyfR168+ZN9cEHH6jg4GDN8fXq1VPHjx83NAaMIYNk0B4yiLxiYQUAj8leiitXrjR0zKxZs6zH9OnTx9Axly5dUkFBQZoibNKkicNjrl69qpo3b645ZtKkSbr7tmjRQomIql69ujp79qzDsV988UWbYm/cuLHavXu3Zr9Dhw6pmJgY6y9IMx+33Xab2rFjh9q0aZPaunWrzTGZFyVGH7Nnz3Y437fffluz//3336+7b2pqqmrZsqV13127djkc24ghQ4bYzLlZs2YqOTk5z2MXdGSQDBpBBj2LHJovh5nee+89m/P8/vvvTo/bvHmz6tatm82x5cqVU9u3b3d6PFxDBslgTmQw/5FD8+Yw05YtW1SlSpVsXuuGDRsMHX/lyhX13HPPqQoVKqht27YZPi+MIYNk0Bky6Blkz7zZ+/DDD23Os2/fPofHXLx4Uc2bN0/VrFlTc1xwcLAaO3asunHjhtPzwjVkkAxmRwbhLiysAOARW7ZsUdWqVbMWVI0aNdTGjRt1V1NmSkpKUhUqVFAixn5heOLECZtVlZmP0aNHq/j4eN1jL168qNq1a6c5pkuXLmrdunXq0qVLKi4uTi1atMi64rRVq1bqzJkzhl7/uHHj7M6pQYMG6oEHHlDNmjVTFotF9ezZU40ZM8Zmv6CgINWlSxe1du1am7EPHDigKleu7PSixWKxqGnTpjmc59GjR1WVKlU0xwUEBKhvv/1WZWRk2Jz3gQce0OwbExOj9u3bZ7OvURs3blTh4eF259+mTRu1bds2p39nYB8ZJINGkEHPIofmy2GmLVu2qLJly9o9Z2RkpOrSpYt69NFH1ejRo9W4cePUE088obp3764iIiJs9g8ODlaPPfaYiouLM/RzhXFkkAySQe8jh+bNob2f49ChQ1VgYKBmnMaNG6spU6aoDRs2qHPnzqkbN26oq1evqj///FMtW7ZMPf7446pEiRKqd+/e6t9//zV0LhhHBskgGfQOsmfe7G3dulWVK1fO7jkrVaqkOnXqpIYMGaKef/559fTTT6t+/fqp6Ohom2yWK1dOjR07Vp08edLQzxSuIYNkkAzCU1hYAcBt1q5dq6KionR/SSdy6z9cRkVFqZ9++kl3nClTpqiOHTvqfv/KlSsqKipKt0BzPsqWLau6d+9ud6yMjAw1a9Ysm7fryv6444471OzZs1VaWppLP49Vq1apO+64w+6YkZGRav78+SojI0NNmjTJur1p06bq/fffd3ozm5CQoJ577jkVGhpqd/z69eurX375Rff4TZs2qTJlyjj8uYWEhKhOnToppZTNSs6cj9DQUDVmzBjDP5unnnpKd+45H4ULF1YrVqwwPHZBRga1yKA+Mug55FDLTDmcPXu2atWqlbrtttsM/cyzPwIDA1XRokVVmTJl1B133KE6dOigRo0apb7++mt16dIll36mcIwMapFBMugN5FDLTDk04ujRo+r5559XVatWNfRnMnToUD6Gzs3IoBYZJIP5hexpmSl7c+bMUc2bNzeUq+yPwMBAVaxYMRUREaGaNWum+vXrp6ZOnap+/fVX/hGLB5BBLTJIBuEZFqWUEgCA7N27Vw4ePCjnzp2T9PR0iYiIkKZNm0qdOnXyNO6uXbtk9+7dcvHiRSlZsqQ0atRIoqOjxWKxiIjIhg0bZMeOHfLAAw9IrVq1XBo7OTlZNmzYIH/++ackJiZKuXLlpHnz5lK/fv08zRnwBjIIeB85BLyLDALeRw7d5+TJk/L777/LqVOnJDExUTIyMiQsLEwiIiKkbt26cscdd0hAQIBX5wjfQwbdhwzCFWQP8C4yCPgHFlYAAAAAAAAAAAAAAADoYEkqAAAAAAAAAAAAAACADhZWAAAAAAAAAAAAAAAA6GBhBQAAAAAAAAAAAAAAgA4WVgAAAAAAAAAAAAAAAOhgYQUAAAAAAAAAAAAAAIAOFlYAAAAAAAAAAAAAAADoYGEFAAAAAAAAAAAAAACADhZWAAAAAAAAAAAAAAAA6GBhBQAAAAAAAAAAAAAAgA4WVgAAAAAAAAAAAAAAAOhgYQUAAAAAAAAAAAAAAIAOFlYAAAAAAAAAAAAAAADoYGEFAAAAAAAAAAAAAACADhZWAAAAAAAAAAAAAAAA6Ajy9gQAIKe4uDjZsmWLnD59WhITEyU8PFyioqKkVatWUrp0aW9Pz6k//vhDduzYIRcuXJCMjAyJiIiQyMhIiY6OluDgYM2+P/74o1SqVEkaNGjgpdkCAHwNPQgAKOjoQgBAQUYPAgDgm1hYAcBn/PbbbzJ58mT58ccfRSll8/2AgAC5//775dVXX5X69evbfH/16tUyZswYOX/+vMTHx7t1bvPmzZPBgwfrfj8jI0PmzZsnU6dOlWPHjtndJyQkRNq3by/dunWTzp07S0pKijz++OPyf//3fzY3Dz/88IO89NJLcubMGUlMTDQ0x8DAQClSpIgUKVJEihcvLhUrVpSKFStKrVq1pEmTJtKyZUspX7684de8Z88e6dmzp1y4cEGSkpKc7h8UFCRFihSRkiVLSkREhNSpU0datmwp3bt3l4iICMPnhecopeS7776Tl19+Wfr37y+TJ0/26Ln27dsnx48fl3Pnzkl8fLy0adNG2rdv77Fz5gY3+/Al9GAWehCeQhfaogvhS+jCLHQhPIEetEUPwpfQg1noQXgCPWiLHgRcpADAB7z33nsqKChIiYhq2LCh+uqrr9Tp06fVjRs31D///KMWLFigGjZsqEREBQcHq7lz5zocb8OGDapGjRpKRDSPjh07qocfftjuo2/fvqpr166qXr16KiAgQHPcvHnzdM8VFxenOnbsaN23b9++6pdfflEXL15U169fV8eOHVPz5s1Td999t818RER9+eWXDl/L5s2b1W233Wb3WBFRlSpVUs2aNVP33Xefatu2rapTp44qXry4zX4BAQHqrrvuUp999plKS0sz/GeTkZGhduzYoRo0aGD3/BaLRZUrV05FRUWpwoUL23w/KChI/ec//1Hnzp0zfE643+rVq1Xjxo2tfy6TJk1y+znS09NVbGys6tu3rypTpoyyWCyqYcOGavjw4eq9995T+/fvt+77448/qjp16qhSpUrp/t3O7cNRXjPn+emnn6rbb79dd4yQkBDVrVs3NWvWLHXq1Cl19OhRVaVKFbt5XbZsmW7u9B6BgYGqWLFiqnTp0qpatWoqJiZG9enTR02YMEEtXbpUnT9/3qWf/e7du1VUVJQqWrSoofMHBQWp0NBQVaVKFdW8eXM1ePBg9cknn6izZ8+6dF64Dz2ojx6Eu9CF2nnShXShr6EL9dGFcAd6UDtPepAe9DX0oD56EO5AD2rnSQ/Sg8gdFlYA8Lo5c+ZYC61///4qJSXF7n7Jycmqa9eu1gvWBQsWOBz3l19+sSnM9evXG5rT6dOn1YABA5xejCQmJlovyAIDA9XXX3/tcNzY2FhVtmxZl24elFLqhx9+sHkt77zzjrpw4YLd/dPT09XWrVvVf//7X1W6dGmbY2vVqqU2bNjg9LzZ7d2712acSZMmqcTEROs+GRkZatu2bWrgwIE2+5YrV05t3brVpXMi73799Ve7N67uvnn48ccfVe3atZWIqKJFi6rx48erv//+29Cx3Oxzs1/Q0YP0IDyLLtSiC+lCX0QX0oXwHHpQix6kB30RPUgPwnPoQS16kB5E3rCwAoBXnTlzRhUrVkyJiLrttttUcnKyw/3j4uKs+5cqVUpdvnxZd9+LFy/m+uYh0/Dhwx1ejAwZMsQ69sSJEw2NefbsWRUVFeXSzcM///yT69eSkJCgxo8frwIDAzXHBwYGqmnTphkaQ6lbFyU5LzYcXaR99913qlChQpr9ixcvrvbu3Wv4nMi9gwcPqgceeED3ItZdNw/Xrl3T5KBz586Gbxqy42afm/2Cih6kB+E5dKEtupAu9EV0IV0Iz6AHbdGD9KAvogfpQXgGPWiLHqQHkXcsrADgVZMmTXL5YqZHjx7WY2bPnq27382bN/N883Dt2jVVpkwZuxcjhw8fVhaLxXohEh8fb3jc3bt3qyJFihi+GElJScnza1m1apUKCwuzGeett94yPEZERIThmwellHrttddszlenTh118+ZNl+YO1y1ZskR99dVXKi4uTv311182q57dcfPw999/a1b/jh8/XqWnp+dqLG72b+Fmv+ChB+lBeA5daIsunKe7P13oPXQhXQjPoAdt0YPzdPenB72HHqQH4Rn0oC16cJ7u/vQgjAoQAPCidevWWb+OiIgwdMztt99u/Xr//v26+wUFBeV+Yv9fsWLFZNCgQXa/t2jRIlFKiYhImTJlpGTJkobHvfPOO2X48OGG9y9cuLDhffV07txZNmzYIEWLFtVsHzdunKxevdoj8xg/fryULVtWs+3QoUOyePFil8aB63r16iUPP/ywlClTRqpVqyaPPfaYW8f/448/JDo62prBqVOnypQpUyQgIHeXFuHh4Xme0zvvvCNlypSx+70jR47IvHnzREQkMDBQRo8ebWjMiIgIWbp0qRQpUsTwPPTmYER4eLhMmTJFli9fLmFhYdbt6enpMnbsWJk2bZqhcSwWi5QuXdrweXv37i0TJ07UbEtMTJQBAwZIWlqa4XHgOnrQGHoQuUEXatGFjtGF3kMXGkMXwlX0oBY96Bg96D30oDH0IFxFD2rRg47RgzCKhRUAvOr8+fPWr//8809Dx2QvstxeqLhi1KhREhMTY7P9wIED1q/j4uLk2rVrLo37+OOP53lurmrcuLHMnDlTs00pJY8++qhcvnzZ7ecLCgqShx56yGb7Dz/84PZzwbFq1aq5baw///xT2rVrJ+fOnRMRkTFjxsgLL7yQpzG52dfiZr/goAfzFz1YsNGFdKEzdKF30IX5iy4suOhBetAZetA76MH8RQ8WXPQgPegMPQgjWFgBwKuyrzpctGiRodV/p06dsn7dqlUrj8wru6ioKM1K8ExXr161fp2RkSEzZsxwadw6depIVFRUnufnqkcffVS6d++u2Xb+/Hl56623PHK+xo0b22w7fPiwR84FfaGhoW4ZJzExUbp37269cYiOjpapU6e6ZWx34GY/97jZ9w56kB5E/qEL6UJn6ELvoAvpQuQPepAedIYe9A56kB5E/qAH6UFn6EEYwcIKAF7VrFkz69enTp2S6dOnO9w/KSlJ1qxZIyIiVapUkZ49e3p0fo5UqlRJ8/yVV16RlStXujRGy5Yt3Tklw1566SWbbTNmzJCEhAS3n6tixYo225KTk91+HjjmjpXCIiLDhw+33vwFBwfL559/LoGBgW4Z2x242c8bbvbzHz1IDyL/0IV0oRF0Yf6jC+lC5A96kB40gh7Mf/QgPYj8QQ/Sg0bQg3CGhRUAvGrgwIGa5y+//LIsX75cd/9Zs2bJ1atXJSAgQD755BO3XRBlt2LFChk8eLDT/XJe+KekpEiPHj3kzTfftL6tljPDhg2TBg0a5GaaedKiRQub+V+/fl2WLl3q9nMlJSXZbMv5llrwPHdc4C9dulQWLlxofT5s2DCpVatWnsfND9zsG8PNfv6jB+lB5B+6kC40gi7Mf3QhXYj8QQ/Sg0bQg/mPHqQHkT/oQXrQCHoQzrCwAoBXxcTESK9evazP09LS5MEHH5Q5c+bY7Ltt2zZ58cUXJTAwUObMmSOdO3f2yJz2799vaL++fftK8eLFNdvS0tLkxRdflDZt2sihQ4ecjtGhQwev3DyIiHTq1Mlm2/fff+/289hb0dmwYUO3nweedfPmTRkzZoz1eaFChfL82YHuwM2+e3Gzn//oQXoQ/oMupAvhGXQhXQj/QA/Sg/AMepAehH+gB+lBQISFFQB8wJw5c6R27drW5zdv3pThw4fLyJEjrZ8ruHfvXunSpYuEhYXJihUrZMiQIR6bT2xsrKH9wsLC5IMPPrD7vS1btkijRo1kzJgxHvm8L3e4++67bbbt3LnT7edZvHixzbYePXq4/TzwrPnz58uJEyesz7t37y6RkZFenNEt3Oy7Fzf73kEPegc9CFfRhXQhPIcu9A66EK6gB+lBeA496B30IFxBD9KDgAgLKwD4gFKlSsmaNWukZs2amu0zZ86Ue++9V5YvXy7t2rWT6Oho2bt3r9x3330em8vs2bNl+/bthvcfNGiQZqVqdjdv3pR33nlHatSoIe+9956kpqa6a5pu0ahRI5tt58+fl7i4OLed48svv5Q9e/ZotrVu3Vo6duzotnMgf8ycOVPzvG/fvpKUlCSLFy+WRx99VOrXry8lS5aU4OBgiYyMlAEDBsi6des8Pi9u9t2Lm33voAe9gx6Eq+hC76ILzY0u9A66EK6gB72LHjQ3etA76EG4gh70LnoQvoKFFQB8QqVKlWTTpk3SpEkTzfb169fL/fffLw0aNJCVK1fafBaYq+bOnSsTJkyweTzzzDMSHR0tjz/+uMtjTp8+XaZMmSIBAfb/LzU+Pl6effZZqVWrlnz77bd5mr87hYeH2/1sOXfdPPz0008yYsQIzbYyZcrI/Pnz3TI+8s+ePXtk37591ucBAQGyc+dOqVy5sowfP14KFSok99xzj7Rq1UrS09Pl9OnT8u2330qHDh2kf//+dt9CzR242edm30zowfxHD8IVdKH30YXmRxfmP7oQRtGD3kcPmh89mP/oQRhFD3ofPQifoQDAh1y/fl316tVLiYjNo2vXriohIcGl8eyNY+QxaNAgl+e+adMmVbNmTadjt2rVSu3du9fl8XOOs379epfHyKlMmTI2427dulV3/6ioKM2+Q4YMURs2bFCnT59Wqamp6vr162rbtm3qscceU4GBgZp9q1evrvbs2ZPnOSN31q9fr/nzmDRpkuFjX3/9dZu/J3Xr1lWxsbEqIyNDs++ff/6p6tevr9k3JiZGJScnOz1PznM88sgj6r///a/N4+mnn1bNmzfPdV6nTJmiAgICHOa0atWq6ptvvnFpXEevJa95zcjIsMmUiKiDBw/qHpMzr/PmzdPdd/Xq1SokJESzf5kyZdTx48fzNG+4jh40/lroQbiKLsxCF9qiC30HXWj8tdCFcAU9mIUetEUP+g560PhroQfhCnowCz1oix6EUSysAOBTjh8/rho3bqwGDRpkcwEiIqpOnTrq5MmThsczWuCJiYlq+/btqmfPnrm+eVBKqeTkZPXKK6+ookWLOrwwCQoKUhMmTFA3b950+2txRfny5W3G3bVrl+7+OS9GwsLCnN4sRUREqNdee00lJibmeb7IvbzcPHTs2FFz7MCBAx3+3b148aKKiIjQHPPEE084PQ83+45xs18w0IN5fy2uoAcLFrpQiy6kC30VXZj31+IKurDgoAe16EF60FfRg3l/La6gBwsOelCLHqQHkTssrADgM9asWaPCw8PViBEjVEZGhrp69ardFdoRERHqyJEjhsZ0tcDT09NVTExMrm8eMp06dUr169dPWSwWhxcm3bt3N7RaNTevxYhChQrZjPv333/r7m9vlWd8fLxav369mjt3rpo+fbqaNGmSmj59uvr888/V77//brNqF96Rl5uHnDcCs2fPdnrMokWLNMdYLBZ16NAhh8dws+8YN/vmRw+697UYQQ8WLHShLbqQLvQ1dKF7X4sRdGHBQQ/aogfpQV9DD7r3tRhBDxYc9KAtepAehOtYWAHAJyxYsEAFBQWp6OholZ6ebt2ekZGhXnjhBbsF5+giN1NuCnzWrFl5vnnItG3bNhUTE+OwrPv06WNoLHdfjFy5csXufJKSknSPceXts+BbcnvzkJSUZPN3ZNWqVU6PS09PV9WrV9cc9+STTzo8hpt9x7jZNzd60Dl6EHlFF+qjC+lCX0AXOkcXIi/oQX30ID3oC+hB5+hB5AU9qI8epAdhXIAAgJetXr1aHn74YcnIyJC5c+dKQEDW/zVZLBaZOnWqvPfee2KxWKzbz507J3369JGMjAy3z6dKlSpuGys6Olo2b94sCxYskMjISLv7fPfdd7Jo0SK3ndOoI0eO2GyrU6eOFClSJN/nAt+VmJhos61cuXJOjwsICJC+fftqtv3yyy9um1fmOQYOHJjncSIjI+Xbb7+VX3/9VWJiYnT3W758uVvOlxuJiYly8+ZNm+1ly5Z1aZySJUtK27ZtZciQITJmzBiZPHmyjBkzRv7zn/9I3bp1Nf8/i/xDD9KD8G10YRa6EJ5CF9KF8F30YBZ6EJ5CD9KD8F30YBZ6EBBhYQUAr/r3339lwIABkp6eLu3atZO6deva3e+ZZ56RGTNmaLZt375dPvvsM7fPqUuXLjJ//ny3jtm3b185fPiwPP/883bLeerUqW49nxEbN2602dahQ4d8nwd8W2pqqs228PBwQ8d26tRJ8/zo0aN2L4Dzgpt9bvb9HT14Cz0IX0YXatGFcDe68Ba6EL6KHtSiB+Fu9OAt9CB8FT2oRQ+ioGNhBQCvmjx5sly+fFlERPr06eNw36eeekomTpyo2fbBBx94bG7ObN26VbZt22Z4/5CQEJk2bZp88cUXEhgYqPne7t275fjx4+6eokNr16612Xbffffl6xzg+4oVK2azTSll6Nh69erZbLt06VKe55QdN/vwd/TgLfQgfBldSBfCs+jCW+hC+Cp6kB6EZ9GDt9CD8FX0ID0IZMfCCgBek5qaKl9++aX1ea1atZweM3nyZGnbtq31+YEDB+T8+fOemJ5TW7duzdVFyyOPPCIvvfSSzfajR4+6YVbGHDlyRNasWaPZVrt2bencuXO+zQH+oWTJkhISEqLZduHCBUPHlipVSkJDQzXbChUq5La5uYKbffgielCLHoSvogvpQngOXahFF8IX0YP0IDyHHtSiB+GL6EF6EMiOhRUAvObQoUNy/fp16/OIiAinx1gsFpk8ebJm26lTp9w9NcPsrZQ0Yvz48VKiRAnNtmvXrrlhRsa89dZbNp/B+NJLL/EZYrCrdu3amuf//POP4WPDwsKsXwcFBUnJkiXdNi9XcLMPX0QPltBsowfhy+hCuhCeQReW0GyjC+Gr6EF6EJ5BD5bQbKMH4avoQXoQyMTCCgBek5KSonmenJxs6LjWrVtrVnZ683O0jhw5kquLiJCQEGnVqpVmW8WKFd01LYfWrFkjn3/+uWZb27ZtpX///vlyfvifu+66S/P8119/NXxsenq69esmTZpIQID3Lj242YevoQfpQfgPupAuhGfQhXQh/AM9SA/CM+hBehD+gR6kB4FMLKwA4DVVq1bVPP/jjz8MHRcYGCilSpWyfp1znPw2e/bsXB2X/S3EQkNDpWnTpu6akq4zZ87Iww8/rLkQKV++vHz77bc2b+kFZHrooYc0zzds2GDouPT0dElISLA+v+eee9w4K9dxsw9fQw/Sg/AfdCFdCM+gC+lC+Ad6kB6EZ9CD9CD8Az1IDwKZWFgBwGvKly8vzZs3tz5fvny5oeMSEhLk4sWLIiLSrl07CQ8Pt7tfamqqzba0tLRczNSxjz76SI4dO+bycTt37rR+PWDAAIery2/evJmruWV3+PBhadOmjcTFxVm3hYWFyZIlS6RChQqGxsj5M7X3M4b5tGjRQnNzu2/fPjlx4oTT4w4fPmz9OxIUFCTDhw/32ByN4mYfvoQepAfhP+hCuhCeQRfShfAP9CA9CM+gB+lB+Ad6kB4EMrGwAoBXTZw40fr1woUL5ffff3d6zCeffGJ9C61XXnlFd79Lly7ZbLt8+XIuZulYUlKSdOvWzaXPVps3b56cPHlSRERKlSolr732msP94+Pjcz0/pZR8++230qpVK+s5RUQiIyNl3bp1EhMTY3icnD+/7Dci8G053y5NKeXS8VOmTNEc++GHHzo9ZunSpdavhw4dKlWqVNHdl5t9LW72Cw56kB5E/qELb6EL4WvoQroQ+YMevIUehK+hB+lB5A968BZ6EMgbFlYA8KquXbvKE088ISK3CrdXr15y6tQp3f1//PFH6w3HxIkTbd6CKrsdO3bYbPvtt9/yOGP7jh49Kk2aNJElS5Y43Xf58uXy5JNPiohI0aJFJTY2VsqVK+fwmOwXLpmuXr3q8JirV6/K4sWLpXnz5jJgwADr244FBATI0KFDZe/evS6tLN2/f7/NZz1u377d8PHwrqSkJIfPnenYsaM89thj1ucfffSRw7eovHTpkvUGo3LlyjJ16lSH43Ozfws3+wUPPUgPIv/QhbfQhfA1dCFdiPxBD95CD8LX0IP0IPIHPXgLPQjkkQIAL0tPT1ejRo1SIqJERJUoUUK9/vrr6uDBg+r69esqPj5e/e9//1NDhw5VAQEBKiAgQL3yyiu642VkZKj//e9/qmrVqtYxMx+FCxdW77zzjkpMTMzzvKdNm2YzvoioRo0aqXfffVft2rVLJSQkqKSkJPXPP/+o5cuXq969e1v3i4yMVL/++qvT8xw6dEjVrFnT7rnKli2rOnTooAYNGqSee+459eyzz6oBAwaoNm3aqMKFC2v2DQ8PVyNGjFAHDx50+bXu2bNH1a9f3+b8FotFTZw40S0/T3jWJ598ovmzGzBggMtjJCcnq9atW1vHqFevnoqPj7fZLykpSXXs2NGa5/379zsde9myZTZ/v8aOHevyHPXkzGv58uXV4sWLnR4XGxurihQpokREFS1aVG3evNnpMStWrLB5LbGxsQ6PSUxMVN99951q2rSp5riAgAA1dOhQuz9nR/bu3Wszh+7du7s0BvIPPegYPQh3oQvpQrrQd9GFjtGFcAd6kB6kB30XPegYPQh3oAfpQXoQ7sDCCgA+46efflItWrSwe5GceaHapUsX3Qvu2NhYFRUVpYoXL647RuYjMDBQVapUSY0cOTLX8502bZq666671JUrV9Tff/+tvv76azVo0CBVsWJFh+cuX768evXVV1VCQoLu2CtWrFDR0dHq9ttvd/pacl5ohISEqPLly6s777xTPfjgg+q1115T69atU6mpqS69vt27d6uoqChVqlQpQ+eOiIhQDz/8cK5/nvCcAwcO2PxdKlKkiIqNjVX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|
|
"text/plain": [
|
|
"<Figure size 2100x840 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 217,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig.savefig(\"memory_cost_fsdp.pdf\", bbox_inches=\"tight\", dpi=1000)\n",
|
|
"fig"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": ".venv",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
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"name": "ipython",
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},
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