{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "49080626-2450-49ab-b34b-f3b5a50e5765",
   "metadata": {},
   "source": [
    "# Metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4d94a336-2660-430b-83a1-16ee5f46d5d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import joblib\n",
    "import scfocus\n",
    "import scanpy as sc\n",
    "import scanpy.external as sce\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.metrics.pairwise import cosine_similarity, rbf_kernel\n",
    "\n",
    "cm = 1/2.54\n",
    "sc.set_figure_params(figsize=(5*cm,5*cm),dpi=300,fontsize=10,frameon=False)\n",
    "\n",
    "pal = sns.color_palette('tab10', n_colors=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "71d4eca4-0509-40e4-b44d-4a5e8f070be1",
   "metadata": {},
   "outputs": [],
   "source": [
    "paul = joblib.load('Paul')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ba8482cd-294f-4853-a4d5-d99571d7d98e",
   "metadata": {},
   "outputs": [],
   "source": [
    "f1 = paul.obsm['X_tsne']\n",
    "\n",
    "focus1 = scfocus.focus(f1, n=6, max_steps=3).meta_focusing(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "80d21c02-0936-4686-9657-f31bf59991b0",
   "metadata": {},
   "outputs": [],
   "source": [
    "focus1.merge_fp2()\n",
    "\n",
    "mfp = focus1.mfp[0]\n",
    "\n",
    "for i in range(mfp.shape[1]):\n",
    "    \n",
    "    paul.obs[f'f{i}_tsne'] = mfp[:, i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4204ba5a-9d3e-4587-b6c9-9602589b3adc",
   "metadata": {},
   "outputs": [],
   "source": [
    "sc.pl.tsne(paul, color=[f'f{i}_tsne' for i in range(mfp.shape[1])])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "4b554ae7-7f27-4afe-a136-ea666e5ffb91",
   "metadata": {},
   "outputs": [],
   "source": [
    "def moving_average(a, window_size):\n",
    "    \"\"\"MA function for the reinforcement learning training process\"\"\"\n",
    "    cumulative_sum = np.cumsum(np.insert(a, 0, 0)) \n",
    "    middle = (cumulative_sum[window_size:] - cumulative_sum[:-window_size]) / window_size\n",
    "    r = np.arange(1, window_size-1, 2)\n",
    "    begin = np.cumsum(a[:window_size-1])[::2] / r\n",
    "    end = (np.cumsum(a[:-window_size:-1])[::2] / r)[::-1]\n",
    "    return np.concatenate((begin, middle, end))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "4860cd81-b4f8-45db-afd5-3b09e9359a1d",
   "metadata": {},
   "outputs": [],
   "source": [
    "for r in focus1.r:\n",
    "    m = min(r.shape[0], np.inf)\n",
    "\n",
    "r = np.vstack([r[:m] for r in focus1.r])\n",
    "sigma = r.std(axis=0)\n",
    "mu = r.mean(axis=0)\n",
    "\n",
    "mu = moving_average(moving_average(mu, 251), 251)\n",
    "sigma = moving_average(moving_average(sigma, 251), 251)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "82a7e460-a2b1-4564-8100-9b2fca16bb7b",
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 590.551x590.551 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 575,
       "width": 620
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with sns.axes_style('darkgrid'):\n",
    "    plt.plot(mu, lw=5, color=pal[0])\n",
    "    plt.fill_between(np.arange(m),mu-sigma, mu+sigma, alpha=.25, color=pal[0], lw=0)\n",
    "    plt.savefig('tsne-PaulCurve_r.png', dpi=1000, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "1fce6689-d2df-40e5-a163-a11186254f63",
   "metadata": {},
   "outputs": [],
   "source": [
    "for r in focus1.e:\n",
    "    m = min(r.shape[0], np.inf)\n",
    "\n",
    "r = np.vstack([r[:m] for r in focus1.e])\n",
    "sigma = r.std(axis=0)\n",
    "mu = r.mean(axis=0)\n",
    "\n",
    "mu = moving_average(moving_average(mu, 251), 251)\n",
    "sigma = moving_average(moving_average(sigma, 251), 251)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "ad24e172-931f-471b-9bce-4b0c7afc71e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 590.551x590.551 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 575,
       "width": 619
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with sns.axes_style('darkgrid'):\n",
    "    plt.plot(mu, lw=5, color=pal[0])\n",
    "    plt.fill_between(np.arange(m),mu-sigma, mu+sigma, alpha=.25, color=pal[0], lw=0)\n",
    "    plt.savefig('tsne-PaulCurve_e.png', dpi=1000, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b361041a-08ec-4cce-a178-f1886c625f70",
   "metadata": {},
   "outputs": [],
   "source": [
    "paul.obsm['X_tsne_focus'] = mfp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "3dbe8b19-9f94-4521-8269-773ac43cea7a",
   "metadata": {},
   "outputs": [],
   "source": [
    "sc.tl.tsne(paul, use_rep='X_tsne_focus')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "47bd5e4e-16c7-499b-a1eb-09f2a78ab3c7",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import minmax_scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "3758fce5-fcdb-4489-a218-2ff3a15ff7e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "f1 = paul.obsm['X_pca'][:,:mfp.shape[1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "c76b2a70-8586-4fe7-89cc-46e2e5cb63dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "f1 = minmax_scale(f1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "b5fde345-d8d0-4747-b572-e753fa6d2f37",
   "metadata": {},
   "outputs": [],
   "source": [
    "f2 = mfp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "f4533325-cf73-4512-b838-8876b7ca459a",
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = pd.DataFrame(f1)\n",
    "\n",
    "df1['clusters'] = paul.obs['leiden'].values\n",
    "\n",
    "df1 = pd.DataFrame({'S':df1.groupby('clusters').apply(lambda x:x.std(axis=0).sum())})\n",
    "\n",
    "df1['type'] = 't-SNE'\n",
    "\n",
    "df2 = pd.DataFrame(f2)\n",
    "\n",
    "df2['clusters'] = paul.obs['leiden'].values\n",
    "\n",
    "df2 = pd.DataFrame({'S':df2.groupby('clusters').apply(lambda x:x.std(axis=0).sum())})\n",
    "\n",
    "df2['type'] = 'scFocus'\n",
    "\n",
    "df = pd.concat([df1, df2], axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "3b64e4e8-dcea-46c0-bb10-82e5d02e8465",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 590.551x590.551 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 575,
       "width": 607
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with sns.axes_style('darkgrid'):\n",
    "    sns.barplot(data=df,x='type', y='S', hue=df.index, palette=paul.uns['leiden_colors'],legend=False)\n",
    "    ax = plt.gca()\n",
    "    ax.set_ylabel('')\n",
    "    ax.set_xlabel('')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "8f733aa8-1180-4aea-8249-cca93e1fe7f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = pd.DataFrame(rbf_kernel(f1)).melt()\n",
    "\n",
    "df1['leiden'] = df1['variable'].astype('str').map(dict(paul.obs['leiden']))\n",
    "\n",
    "df1 = df1.groupby('leiden').mean().loc[paul.obs['leiden'].cat.categories,:]\n",
    "\n",
    "df1['type'] = 't-SNE'\n",
    "\n",
    "df2 = pd.DataFrame(rbf_kernel(f2)).melt()\n",
    "\n",
    "df2['leiden'] = df2['variable'].astype('str').map(dict(paul.obs['leiden']))\n",
    "\n",
    "df2 = df2.groupby('leiden').mean().loc[paul.obs['leiden'].cat.categories,:]\n",
    "\n",
    "df2['type'] = 'scFocus'\n",
    "\n",
    "df = pd.concat([df1, df2], axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "id": "0a872327-dc5c-4d6d-b1ac-111ebfea07f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "rbf = cosine_similarity(f1)\n",
    "\n",
    "ls1 = []\n",
    "\n",
    "for L in paul.obs['leiden'].cat.categories:\n",
    "    mask = paul.obs['leiden'].values == L\n",
    "    ls1.append(rbf[mask, :][:, mask].mean())\n",
    "\n",
    "\n",
    "\n",
    "rbf = cosine_similarity(f2)\n",
    "\n",
    "ls2 = []\n",
    "\n",
    "for L in paul.obs['leiden'].cat.categories:\n",
    "    mask = paul.obs['leiden'].values == L\n",
    "    ls2.append(rbf[mask, :][:, mask].mean())\n",
    "\n",
    "\n",
    "df1 = pd.DataFrame(ls1)\n",
    "df1['type'] = 'PCA'\n",
    "df2 = pd.DataFrame(ls2)\n",
    "df2['type'] = 'scFocus'\n",
    "df = pd.concat([df1, df2], axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "id": "1951f335-6f4f-4497-a91c-196d23eda1b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "rbf = rbf_kernel(f1)\n",
    "\n",
    "ls1 = []\n",
    "\n",
    "for L in paul.obs['leiden'].cat.categories:\n",
    "    mask = paul.obs['leiden'].values == L\n",
    "    ls1.append(rbf[mask, :][:, mask].mean())\n",
    "\n",
    "rbf = rbf_kernel(f2)\n",
    "\n",
    "ls2 = []\n",
    "\n",
    "for L in paul.obs['leiden'].cat.categories:\n",
    "    mask = paul.obs['leiden'].values == L\n",
    "    ls2.append(rbf[mask, :][:, mask].mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "id": "b53cdcf2-b67d-4fb2-a966-e63bd371e860",
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = pd.DataFrame(ls1)\n",
    "df1['type'] = 'PCA'\n",
    "df2 = pd.DataFrame(ls2)\n",
    "df2['type'] = 'scFocus'\n",
    "df = pd.concat([df1, df2], axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "id": "a3d05da0-cb8a-44bb-bf9f-cc5a4ac80bf8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 590.551x590.551 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 590,
       "width": 630
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with sns.axes_style('darkgrid'):\n",
    "    sns.barplot(x=df['type'], y=abs(df[0]), hue=df.index, palette=paul.uns['leiden_colors'],legend=False)\n",
    "    ax = plt.gca()\n",
    "    ax.set_ylabel('')\n",
    "    ax.set_xlabel('')\n",
    "    ax.set_ylim(.9, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "111e35ce-1fe3-4784-9667-3e3d682c703d",
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = pd.DataFrame(cosine_similarity(f1)).melt()\n",
    "\n",
    "df1['leiden'] = df1['variable'].astype('str').map(dict(paul.obs['leiden']))\n",
    "\n",
    "df1 = df1.groupby('leiden').mean().loc[paul.obs['leiden'].cat.categories,:]\n",
    "\n",
    "df1['type'] = 't-SNE'\n",
    "\n",
    "df2 = pd.DataFrame(cosine_similarity(f2)).melt()\n",
    "\n",
    "df2['leiden'] = df2['variable'].astype('str').map(dict(paul.obs['leiden']))\n",
    "\n",
    "df2 = df2.groupby('leiden').mean().loc[paul.obs['leiden'].cat.categories,:]\n",
    "\n",
    "df2['type'] = 'scFocus'\n",
    "\n",
    "df = pd.concat([df1, df2], axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "0d721f21-8d52-4742-973b-09e42794ea53",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 590.551x590.551 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 575,
       "width": 607
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with sns.axes_style('darkgrid'):\n",
    "    sns.barplot(x=df['type'], y=abs(df['value']), hue=df.index, palette=paul.uns['leiden_colors'],legend=False)\n",
    "    ax = plt.gca()\n",
    "    ax.set_ylabel('')\n",
    "    ax.set_xlabel('')"
   ]
  }
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