nonlinear_pots.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import LogNorm\n",
    "import seaborn as sns\n",
    "import pandas as pd\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "datadir = \"data/nonlinear\"\n",
    "\n",
    "# names of dataframes to include\n",
    "names = [\n",
    "    \"baseline\",\n",
    "    \"ewc\",\n",
    "    \"subspace_estimation_vary_range\",\n",
    "    \"subspace_estimation_vary_null\",\n",
    "]\n",
    "\n",
    "# which variable (if any) to use as the hue\n",
    "cs = {\n",
    "    \"ewc\": \"ewc_lambda\",\n",
    "    \"subspace_estimation_vary_range\": \"knob_range\",\n",
    "    \"subspace_estimation_vary_null\": \"knob_null\",\n",
    "}\n",
    "\n",
    "# style settings per dataframe\n",
    "plot_opts_per_df = {\n",
    "    \"baseline\": {\n",
    "        \"color\": \"white\",\n",
    "        \"edgecolor\": \"black\",\n",
    "        \"marker\": \"*\",\n",
    "        \"s\": 300,\n",
    "        \"label\": \"baseline\",\n",
    "    },\n",
    "    \"ewc\": {\n",
    "        \"cmap\": \"Greens\",\n",
    "        \"norm\": LogNorm(),\n",
    "        \"edgecolor\": \"black\",\n",
    "        \"marker\": \"o\",\n",
    "        \"s\": 75,\n",
    "        \"label\": \"ewc\",\n",
    "    },\n",
    "    \"subspace_estimation_vary_range\": {\n",
    "        \"cmap\": \"Reds\",\n",
    "        \"edgecolor\": \"black\",\n",
    "        \"marker\": \"s\",\n",
    "        \"s\": 75,\n",
    "        \"label\": r\"range weight $\\alpha$\",\n",
    "    },\n",
    "    \"subspace_estimation_vary_null\": {\n",
    "        \"cmap\": \"Blues\",\n",
    "        \"edgecolor\": \"black\",\n",
    "        \"marker\": \"^\",\n",
    "        \"s\": 75,\n",
    "        \"label\": r\"null space weight $\\beta$\",\n",
    "    },\n",
    "}\n",
    "\n",
    "# potentially reorder legend entries\n",
    "legend_order = None\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load all dataframes in datadir\n",
    "df_list = []\n",
    "for name in names:\n",
    "    filename = os.path.join(datadir, f\"{name}.csv\")\n",
    "    df = pd.read_csv(filename)\n",
    "    # switch on names: for ewc, group by and mean per ewc_lambda, for baseline take mean over all\n",
    "    # for subspace_estimation_vary_range, group by and mean per knob_range\n",
    "    # for subspace_estimation_vary_null, group by and mean per knob_null\n",
    "    if name == \"ewc\":\n",
    "        df = df.groupby(cs[name]).mean(numeric_only=True).reset_index()\n",
    "    elif name == \"baseline\":\n",
    "        df = df.mean(numeric_only=True).to_frame().T\n",
    "    elif name == \"subspace_estimation_vary_range\":\n",
    "        df = df.groupby(cs[name]).mean(numeric_only=True).reset_index()\n",
    "    elif name == \"subspace_estimation_vary_null\":\n",
    "        df = df.groupby(cs[name]).mean(numeric_only=True).reset_index()\n",
    "    df_list.append(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "baseline\n",
      "{'color': 'white', 'edgecolor': 'black', 'marker': '*', 's': 300, 'label': 'baseline'}\n",
      "ewc\n",
      "{'cmap': 'Greens', 'norm': <matplotlib.colors.LogNorm object at 0x16629a9b0>, 'edgecolor': 'black', 'marker': 'o', 's': 75, 'label': 'ewc'}\n",
      "subspace_estimation_vary_range\n",
      "{'cmap': 'Reds', 'edgecolor': 'black', 'marker': 's', 's': 75, 'label': 'range weight $\\\\alpha$'}\n",
      "subspace_estimation_vary_null\n",
      "{'cmap': 'Blues', 'edgecolor': 'black', 'marker': '^', 's': 75, 'label': 'null space weight $\\\\beta$'}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_perf = plt.figure(figsize=(8, 8))\n",
    "for df, name in zip(df_list, names):\n",
    "    print(name)\n",
    "    if name in plot_opts_per_df.keys():\n",
    "        plot_opts = plot_opts_per_df[name]\n",
    "        print(plot_opts)\n",
    "    else:\n",
    "        plot_opts = {}\n",
    "    if name in cs.keys():\n",
    "        plot_opts[\"c\"] = df[cs[name]]\n",
    "    plt.scatter(df[\"acc_after_t1_t1\"], df[\"acc_after_t1_t0\"], **plot_opts)\n",
    "\n",
    "plt.xlabel(\"Plasticity (task 1 performance)\")\n",
    "plt.ylabel(\"Stability (task 2 performance)\")\n",
    "sns.despine()\n",
    "plt.legend(fontsize=16, loc=\"lower left\")\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "\n",
    "if legend_order is not None:\n",
    "    handles, labels = plt.gca().get_legend_handles_labels()\n",
    "    plt.legend(\n",
    "        [handles[idx] for idx in legend_order], [labels[idx] for idx in legend_order]\n",
    "    )\n",
    "\n",
    "# plot mean_distance_null vs mean_distance_range\n",
    "fig_displace = plt.figure(figsize=(8, 8))\n",
    "for df, name in zip(df_list, names):\n",
    "    if name in plot_opts_per_df.keys():\n",
    "        plot_opts = plot_opts_per_df[name]\n",
    "    else:\n",
    "        plot_opts = {}\n",
    "    if name in cs.keys():\n",
    "        plot_opts[\"c\"] = df[cs[name]]\n",
    "    plt.scatter(df[\"mean_distance_range\"], df[\"mean_distance_null\"], **plot_opts)\n",
    "plt.xlabel(\"Displacement in readout range\")\n",
    "plt.ylabel(\"Displacement in readout null space\")\n",
    "sns.despine()\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "# we only need the legend in one panel, reenable if needed\n",
    "# plt.legend(fontsize=16)\n",
    "\n",
    "if legend_order is not None:\n",
    "    handles, labels = plt.gca().get_legend_handles_labels()\n",
    "    plt.legend(\n",
    "        [handles[idx] for idx in legend_order], [labels[idx] for idx in legend_order]\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save both\n",
    "figdir = \"plots/nonlinear\"\n",
    "# ensure exists\n",
    "if not os.path.exists(figdir):\n",
    "    os.makedirs(figdir)\n",
    "fig_perf.savefig(os.path.join(figdir, \"perf.png\"))\n",
    "fig_displace.savefig(os.path.join(figdir, \"displace.png\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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