chandra_gaia_nway_rf_without_mags.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 1402,
     "status": "ok",
     "timestamp": 1646792485416,
     "user": {
      "displayName": "Juan Martinez Galarza",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjbbwXLTiq96SY6wFlM3UCnuViVCCrd_23Uu1S8=s64",
      "userId": "02756929718806781863"
     },
     "user_tz": 300
    },
    "id": "E055Crj-ekHo",
    "outputId": "e87cd569-bb76-49e4-c278-8c385c3af3b3"
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "from sklearn.impute import SimpleImputer\n",
    "from sklearn.metrics import precision_score, recall_score, f1_score, roc_curve, auc, roc_auc_score, accuracy_score\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import confusion_matrix\n",
    "from sklearn.inspection import permutation_importance\n",
    "\n",
    "from utils import votable_to_pandas\n",
    "from astropy.table import Table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using NWAY (Dong-Woo) sources, positive: best match, negative: last match. Checking RF and NN without magnitudes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def_last_prob_df = pd.read_csv('out_data/last_new.csv')\n",
    "def_second_prob_df = pd.read_csv('out_data/second_new.csv')\n",
    "def_first_prob_df = pd.read_csv('out_data/most_probable_new.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def_first_prob_df_filtered = def_first_prob_df.dropna(subset=[\"name\"])\n",
    "# Extract unique chandra_source_id values from def_first_prob_df\n",
    "chandra_ids_in_first = def_first_prob_df_filtered['chandra_source_id'].unique()\n",
    "\n",
    "# Filter def_second_prob_df and def_last_prob_df based on the extracted chandra_source_id values\n",
    "filtered_second_prob_df = def_second_prob_df[def_second_prob_df['chandra_source_id'].isin(chandra_ids_in_first)]\n",
    "filtered_last_prob_df = def_last_prob_df[def_last_prob_df['chandra_source_id'].isin(chandra_ids_in_first)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_4481/1270912609.py:2: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_pos.dropna(subset='name', inplace=True)\n",
      "/tmp/ipykernel_4481/1270912609.py:7: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_pos['flux_aper_b'].replace(0, np.nan, inplace=True)\n",
      "/tmp/ipykernel_4481/1270912609.py:8: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_neg['flux_aper_b'].replace(0, np.nan, inplace=True)\n",
      "/tmp/ipykernel_4481/1270912609.py:9: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_pos['gmag_logflux'] = df_pos['phot_g_mean_mag'] + np.log10(df_pos['flux_aper_b']/1e-13)*2.5\n",
      "/tmp/ipykernel_4481/1270912609.py:10: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_neg['gmag_logflux'] = df_neg['phot_g_mean_mag'] + np.log10(df_neg['flux_aper_b']/1e-13)*2.5\n"
     ]
    }
   ],
   "source": [
    "df_pos = def_first_prob_df_filtered.query('nway_separation <= 0.8 and parallax == parallax and parallax >= 0')\n",
    "df_pos.dropna(subset='name', inplace=True)\n",
    "chandra_ids_in_pos = df_pos['chandra_source_id'].unique()\n",
    "\n",
    "df_neg= filtered_last_prob_df[filtered_last_prob_df['chandra_source_id'].isin(chandra_ids_in_pos)]\n",
    "\n",
    "df_pos['flux_aper_b'].replace(0, np.nan, inplace=True)\n",
    "df_neg['flux_aper_b'].replace(0, np.nan, inplace=True)\n",
    "df_pos['gmag_logflux'] = df_pos['phot_g_mean_mag'] + np.log10(df_pos['flux_aper_b']/1e-13)*2.5\n",
    "df_neg['gmag_logflux'] = df_neg['phot_g_mean_mag'] + np.log10(df_neg['flux_aper_b']/1e-13)*2.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_291760/133061099.py:2: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_pos['distance'] = 1 / df_pos['parallax']\n",
      "/tmp/ipykernel_291760/133061099.py:3: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_neg['distance'] = 1 / df_neg['parallax']\n",
      "/tmp/ipykernel_291760/133061099.py:6: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_pos['log_inv_plx'] = np.log10(1 / df_pos['parallax'])\n",
      "/home/ubunsam/miniconda3/envs/starsml/lib/python3.11/site-packages/pandas/core/arraylike.py:402: RuntimeWarning: invalid value encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n",
      "/tmp/ipykernel_291760/133061099.py:7: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_neg['log_inv_plx'] = np.log10(1 / df_neg['parallax'])\n",
      "/home/ubunsam/miniconda3/envs/starsml/lib/python3.11/site-packages/numpy/lib/histograms.py:906: RuntimeWarning: invalid value encountered in divide\n",
      "  return n/db/n.sum(), bin_edges\n"
     ]
    },
    {
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",
      "text/plain": [
       "<Figure size 1400x1600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# distances\n",
    "df_pos['distance'] = 1 / df_pos['parallax']\n",
    "df_neg['distance'] = 1 / df_neg['parallax']\n",
    "\n",
    "# Calculate log(1/plx)\n",
    "df_pos['log_inv_plx'] = np.log10(1 / df_pos['parallax'])\n",
    "df_neg['log_inv_plx'] = np.log10(1 / df_neg['parallax'])\n",
    "\n",
    "# Plot settings\n",
    "bins = 20\n",
    "\n",
    "# Create subplots\n",
    "fig, axs = plt.subplots(3, 2, figsize=(14, 16))\n",
    "\n",
    "# Plot for gmag_logflux < 500pc\n",
    "axs[0, 0].hist(df_pos[df_pos['distance'] < 500]['gmag_logflux'], bins=bins, alpha=0.5, label='pos', density=True)\n",
    "axs[0, 0].hist(df_neg[df_neg['distance'] < 500]['gmag_logflux'], bins=bins, alpha=0.5, label='neg', density=True)\n",
    "axs[0, 0].set_title('gmag_logflux < 500pc')\n",
    "axs[0, 0].legend()\n",
    "\n",
    "# Plot for 500pc <= gmag_logflux <= 5000pc\n",
    "axs[1, 0].hist(df_pos[(df_pos['distance'] >= 500) & (df_pos['distance'] <= 5000)]['gmag_logflux'], bins=bins, alpha=0.5, label='pos', density=True)\n",
    "axs[1, 0].hist(df_neg[(df_neg['distance'] >= 500) & (df_neg['distance'] <= 5000)]['gmag_logflux'], bins=bins, alpha=0.5, label='neg', density=True)\n",
    "axs[1, 0].set_title('gmag_logflux 500pc - 5000pc')\n",
    "axs[1, 0].legend()\n",
    "\n",
    "# Plot for gmag_logflux > 5000pc\n",
    "axs[2, 0].hist(df_pos[df_pos['distance'] > 5000]['gmag_logflux'], bins=bins, alpha=0.5, label='pos', density=True)\n",
    "axs[2, 0].hist(df_neg[df_neg['distance'] > 5000]['gmag_logflux'], bins=bins, alpha=0.5, label='neg', density=True)\n",
    "axs[2, 0].set_title('gmag_logflux > 5000pc')\n",
    "axs[2, 0].legend()\n",
    "\n",
    "# Plot for undefined/negative distances (log_inv_plx for gmag of 10-15, 15-20, >20)\n",
    "for i, (gmag_lower, gmag_upper) in enumerate([(10, 15), (15, 20), (20, float('inf'))]):\n",
    "    axs[i, 1].hist(df_pos[(df_pos['phot_g_mean_mag'] >= gmag_lower) & (df_pos['phot_g_mean_mag'] < gmag_upper)]['log_inv_plx'], bins=bins, alpha=0.5, label='pos', density=True)\n",
    "    axs[i, 1].hist(df_neg[(df_neg['phot_g_mean_mag'] >= gmag_lower) & (df_neg['phot_g_mean_mag'] < gmag_upper)]['log_inv_plx'], bins=bins, alpha=0.5, label='neg', density=True)\n",
    "    axs[i, 1].set_title(f'log(1/parallax) {gmag_lower} <= gmag < {gmag_upper}')\n",
    "    axs[i, 1].legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('figures/chandra_gaia_nway_exp/distributions_strat_vinay.pdf')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_all = pd.concat([df_pos, df_neg], ignore_index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd9790d99d0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df_pos['bp_g'],df_pos['g_rp'],alpha=0.6, label='positive')\n",
    "plt.scatter(df_neg['bp_g'],df_neg['g_rp'],alpha=0.6, label='negative')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd96ec8fd10>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_pos['bp_g'],bins=50,alpha=0.5,density=True,label='High prob matches')\n",
    "plt.hist(df_neg['bp_g'],bins=50,alpha=0.5,density=True,label='Low prob matches')\n",
    "plt.xlabel('Gaia BP-G',size=15)\n",
    "plt.legend()\n",
    "#plt.savefig('figures/Gaia_BP_G.pdf',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd96f3bc510>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_pos['bp_rp'],bins=50,alpha=0.5,density=True,label='High prob matches')\n",
    "plt.hist(df_neg['bp_rp'],bins=50,alpha=0.5,density=True,label='Low prob matches')\n",
    "plt.xlabel('Gaia BP-RP',size=15)\n",
    "plt.legend()\n",
    "#plt.savefig('figures/Gaia_BP_RP.pdf',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ubunsam/miniconda3/envs/starsml/lib/python3.11/site-packages/pandas/core/arraylike.py:402: RuntimeWarning: invalid value encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd96f169790>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(np.log10(1/df_pos['parallax']),bins=50,alpha=0.5,density=True,label='High prob matches')\n",
    "plt.hist(np.log10(1/df_neg['parallax']),bins=50,alpha=0.5,density=True,label='Low prob matches')\n",
    "#plt.xlabel('Gaia G-RP',size=15)\n",
    "plt.legend()\n",
    "#plt.savefig('figures/Gaia_G_RP.pdf',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7ff5a80dadd0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df_pos['phot_g_mean_mag'],bins=50,alpha=0.5,density=True,label='High prob matches')\n",
    "plt.hist(df_neg['phot_g_mean_mag'],bins=50,alpha=0.5,density=True,label='Low prob matches')\n",
    "plt.xlabel('Gaia G band mag',size=15)\n",
    "#plt.xscale('log')\n",
    "plt.legend()\n",
    "#plt.savefig('figures/Gaia_G_mag.pdf',dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "#### Preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_names = [ \n",
    "    'phot_g_mean_mag', 'phot_bp_mean_mag', 'phot_rp_mean_mag', 'bp_rp', 'bp_g', 'g_rp', 'parallax', 'parallax_over_error',\n",
    "    'hard_hs',\n",
    "    'hard_hm',\n",
    "    'hard_ms',\n",
    "    'var_intra_prob_b',\n",
    "    'var_inter_prob_b',\n",
    "    'flux_aper_b',\n",
    "    'gmag_logflux'\n",
    "]\n",
    "\n",
    "# List of features to skip for the log transformation\n",
    "skip_log_features = [ \n",
    "    'phot_g_mean_mag', 'phot_bp_mean_mag', 'phot_rp_mean_mag', 'bp_rp', 'bp_g', 'g_rp',\n",
    "    'hard_hs',\n",
    "    'hard_hm',\n",
    "    'hard_ms',\n",
    "    'var_intra_prob_b',\n",
    "    'var_inter_prob_b',\n",
    "    'gmag_logflux'\n",
    "]\n",
    "\n",
    "from utils import preprocess, transform_features, handle_missing_values, standardize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/mnt/d/workspace/starsml/utils.py:8: RuntimeWarning: invalid value encountered in log10\n",
      "  np.log10(1 + df[feature].values) if feature not in skip_log_features else df[feature].values\n"
     ]
    }
   ],
   "source": [
    "# Preprocess the data\n",
    "X, Y = preprocess(df_pos, df_neg, feature_names, skip_log_features)\n",
    "indices = np.arange(X.shape[0])\n",
    "\n",
    "# Split into training and test sets\n",
    "(X_train, \n",
    " X_test, \n",
    " Y_train, \n",
    " Y_test, \n",
    " indices_train, \n",
    " indices_test) = train_test_split(X, Y, indices, test_size=0.3, shuffle=True)\n",
    "\n",
    "# Handle missing values\n",
    "X_train, X_test, imp_mean = handle_missing_values(X_train, X_test)\n",
    "\n",
    "# Standardize\n",
    "#X_train, X_test, scaler = standardize(X_train, X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training proportions: {1.0: 0.5015360407612768, 0.0: 0.4984639592387232}\n",
      "Test proportions: {1.0: 0.49641608391608394, 0.0: 0.5035839160839161}\n"
     ]
    }
   ],
   "source": [
    "from collections import Counter\n",
    "\n",
    "def class_proportions(y):\n",
    "    counts = Counter(y)\n",
    "    total = len(y)\n",
    "    proportions = {key: value / total for key, value in counts.items()}\n",
    "    return proportions\n",
    "\n",
    "train_proportions = class_proportions(Y_train)\n",
    "test_proportions = class_proportions(Y_test)\n",
    "\n",
    "print(\"Training proportions:\", train_proportions)\n",
    "print(\"Test proportions:\", test_proportions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Percentage of NaN values in feature phot_g_mean_mag: 0.47%\n",
      "Percentage of NaN values in feature phot_bp_mean_mag: 8.65%\n",
      "Percentage of NaN values in feature phot_rp_mean_mag: 7.57%\n",
      "Percentage of NaN values in feature bp_rp: 8.71%\n",
      "Percentage of NaN values in feature bp_g: 8.65%\n",
      "Percentage of NaN values in feature g_rp: 7.98%\n",
      "Percentage of NaN values in feature parallax: 10.69%\n",
      "Percentage of NaN values in feature parallax_over_error: 11.82%\n",
      "Percentage of NaN values in feature hard_hs: 8.37%\n",
      "Percentage of NaN values in feature hard_hm: 8.15%\n",
      "Percentage of NaN values in feature hard_ms: 8.53%\n",
      "Percentage of NaN values in feature var_intra_prob_b: 9.25%\n",
      "Percentage of NaN values in feature var_inter_prob_b: 39.42%\n",
      "Percentage of NaN values in feature flux_aper_b: 13.98%\n",
      "Percentage of NaN values in feature gmag_logflux: 14.37%\n"
     ]
    }
   ],
   "source": [
    "num_samples = X.shape[0]\n",
    "nan_count_per_feature = np.isnan(X).sum(axis=0)\n",
    "\n",
    "# Calculate the percentage for each feature\n",
    "nan_percentage_per_feature = (nan_count_per_feature / num_samples) * 100\n",
    "\n",
    "for i, percentage in enumerate(nan_percentage_per_feature):\n",
    "    print(f\"Percentage of NaN values in feature {feature_names[i]}: {percentage:.2f}%\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "#### Baseline Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RF train accuracy: 0.843\n",
      "Accuracy: 0.7791958041958041\n",
      "Precision: 0.7470110361741263\n",
      "Recall: 0.8477126456775091\n",
      "F1 Score: 0.7941823515033\n",
      "AUC-ROC: 0.8540051077771418\n"
     ]
    }
   ],
   "source": [
    "import xgboost as xgb\n",
    "\n",
    "# Model Building\n",
    "clf_rf = xgb.XGBClassifier(objective=\"binary:logistic\")\n",
    "clf_rf.fit(X_train, Y_train)\n",
    "\n",
    "# Predictions\n",
    "y_pred_rf = clf_rf.predict(X_test)\n",
    "y_pred_rf_prob = clf_rf.predict_proba(X_test)[:, 1]  # for AUC\n",
    "\n",
    "# Evaluation\n",
    "print(f\"RF train accuracy: {clf_rf.score(X_train, Y_train):.3f}\")\n",
    "print(\"Accuracy:\", accuracy_score(Y_test, y_pred_rf))\n",
    "print(\"Precision:\", precision_score(Y_test, y_pred_rf))\n",
    "print(\"Recall:\", recall_score(Y_test, y_pred_rf))\n",
    "print(\"F1 Score:\", f1_score(Y_test, y_pred_rf))\n",
    "print(\"AUC-ROC:\", roc_auc_score(Y_test, y_pred_rf_prob))\n",
    "\n",
    "# Check Scalar and Missing Values\n",
    "# Error Analysis (check distances of matches in errors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RF train accuracy: 0.849\n",
      "Accuracy: 0.7848339160839161\n",
      "Precision: 0.7460426703372333\n",
      "Recall: 0.8589540412044374\n",
      "F1 Score: 0.7985267034990792\n",
      "AUC-ROC: 0.8630260647468959\n"
     ]
    }
   ],
   "source": [
    "# Model Building\n",
    "clf_rf = RandomForestClassifier(n_estimators=100, max_depth=12, random_state=0)\n",
    "clf_rf.fit(X_train, Y_train)\n",
    "\n",
    "# Predictions\n",
    "y_pred_rf = clf_rf.predict(X_test)\n",
    "y_pred_rf_prob = clf_rf.predict_proba(X_test)[:, 1]  # for AUC\n",
    "\n",
    "# Evaluation\n",
    "print(f\"RF train accuracy: {clf_rf.score(X_train, Y_train):.3f}\")\n",
    "print(\"Accuracy:\", accuracy_score(Y_test, y_pred_rf))\n",
    "print(\"Precision:\", precision_score(Y_test, y_pred_rf))\n",
    "print(\"Recall:\", recall_score(Y_test, y_pred_rf))\n",
    "print(\"F1 Score:\", f1_score(Y_test, y_pred_rf))\n",
    "print(\"AUC-ROC:\", roc_auc_score(Y_test, y_pred_rf_prob))\n",
    "\n",
    "# Check Scalar and Missing Values\n",
    "# Error Analysis (check distances of matches in errors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute the confusion matrix and normalize it to get percentages\n",
    "cm = confusion_matrix(Y_test, y_pred_rf, normalize='true')\n",
    "\n",
    "# Multiply by 100 to get percentages and round to 1 decimal place\n",
    "cm_percentage = (cm * 100).round(1)\n",
    "\n",
    "# Define the class labels\n",
    "class_labels = ['bad', 'good']\n",
    "\n",
    "# Create a Seaborn heatmap\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.set(font_scale=1.2) # Adjust to your preference\n",
    "sns.heatmap(cm_percentage, annot=True, fmt='', cmap='Blues', cbar=False, \n",
    "            xticklabels=class_labels, yticklabels=class_labels,\n",
    "            annot_kws={'va':'center'},\n",
    "            )\n",
    "\n",
    "# Add labels and title\n",
    "plt.xlabel('Predicted')\n",
    "plt.ylabel('True')\n",
    "plt.title('Confusion Matrix for Random Forest')\n",
    "\n",
    "# Iterate through the heatmap to add the '%' sign to the annotations\n",
    "for t in plt.gca().texts:\n",
    "    t.set_text(t.get_text() + \" %\")\n",
    "\n",
    "#plt.savefig('figures/chandra_gaia_nway_exp/confusion_rf_without_mags.png', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate permutation importances\n",
    "per_importances = permutation_importance(\n",
    "    clf_rf, X_test, Y_test, n_repeats=10, random_state=42, n_jobs=2\n",
    ")\n",
    "\n",
    "# Sort the features by importance in descending order\n",
    "sorted_idx = per_importances.importances_mean.argsort()[::-1]\n",
    "\n",
    "# Create a Pandas DataFrame for plotting\n",
    "importance_df = pd.DataFrame({\n",
    "    'Feature': np.array(feature_names)[sorted_idx],\n",
    "    'Importance': per_importances.importances_mean[sorted_idx],\n",
    "    'Importance_std': per_importances.importances_std[sorted_idx]\n",
    "})\n",
    "\n",
    "# Plot using Seaborn\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.barplot(x='Importance', y='Feature', data=importance_df, color='skyblue', errorbar=None, capsize=.1, xerr=importance_df['Importance_std'])\n",
    "\n",
    "# Add labels and title\n",
    "plt.title(\"Permutation importance\")\n",
    "plt.xlabel(\"Importance score\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_55650/3311305092.py:3: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_train['prediction'] = clf_rf.predict(X_train)\n",
      "/tmp/ipykernel_55650/3311305092.py:4: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_train['actual'] = Y_train\n",
      "/tmp/ipykernel_55650/3311305092.py:8: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_test['prediction'] = y_pred_rf\n",
      "/tmp/ipykernel_55650/3311305092.py:9: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df_test['actual'] = Y_test\n"
     ]
    }
   ],
   "source": [
    "# Sample dataframes (replace these with your real df_train, df_test, df_totest)\n",
    "df_train = df_all.iloc[indices_train]\n",
    "df_train['prediction'] = clf_rf.predict(X_train)\n",
    "df_train['actual'] = Y_train\n",
    "y_train_rf_prob = clf_rf.predict_proba(X_train)[:, 1]\n",
    "\n",
    "df_test = df_all.iloc[indices_test]\n",
    "df_test['prediction'] = y_pred_rf\n",
    "df_test['actual'] = Y_test\n",
    "\n",
    "# List of dataframes and their names\n",
    "dfs = [df_train, df_test]\n",
    "names = ['Train', 'Test']\n",
    "\n",
    "features = feature_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1800x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.backends.backend_pdf import PdfPages\n",
    "\n",
    "with PdfPages('figures/chandra_gaia_nway_exp/histograms_probs_without_mags_new.pdf') as pdf:\n",
    "    # Plot for each dataset\n",
    "    for dataset, pred_prob, title in zip([df_train, df_test], \n",
    "                                        [y_train_rf_prob, y_pred_rf_prob], \n",
    "                                        ['Train', 'Test']):\n",
    "        \n",
    "        fig, ax = plt.subplots(1, 3, figsize=(18, 6))\n",
    "        \n",
    "        # Scatter Plot\n",
    "        cmap = 'coolwarm_r'\n",
    "        norm = plt.Normalize(dataset['hard_hs'].min(), dataset['hard_hs'].max())\n",
    "        sc = ax[0].scatter(pred_prob, dataset['p_i'], \n",
    "                        c=dataset['hard_hs'], cmap=cmap, norm=norm, s=6)\n",
    "        cbar = plt.colorbar(sc, ax=ax[0])\n",
    "        cbar.set_label('hard_hs', rotation=270, labelpad=15)\n",
    "        ax[0].set_title(r'NWAY vs $P_{\\mathrm{RF}}$ (%s)' % title)\n",
    "        ax[0].set_ylabel(r'$P_{\\mathrm{NWAY}}$')\n",
    "        ax[0].set_xlabel(r'$P_{\\mathrm{RF}}$')\n",
    "        \n",
    "        # Histogram: Our Probabilities (Predicted Good)\n",
    "        sns.histplot(pred_prob[dataset.actual == 1], bins=20, kde=False, ax=ax[1])\n",
    "        ax[1].set_title(r'$P_{\\mathrm{RF}}$ for true positive matches (%s)' % title)\n",
    "        ax[1].set_xlabel(r'$P_{\\mathrm{RF}}$')\n",
    "        ax[1].set_ylabel('Frequency')\n",
    "        \n",
    "        # Histogram: Our Probabilities (Predicted Bad)\n",
    "        sns.histplot(pred_prob[dataset.actual == 0], bins=20, kde=False, ax=ax[2])\n",
    "        ax[2].set_title(r'$P_{\\mathrm{RF}}$ for true negative matches (%s)' % title)\n",
    "        ax[2].set_xlabel(r'$P_{\\mathrm{RF}}$')\n",
    "        ax[2].set_ylabel('Frequency')\n",
    "        \n",
    "        plt.tight_layout()\n",
    "        pdf.savefig(fig); \n",
    "plt.close();"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "name": "nn_xmatch.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}