{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MSM estimation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Assuming our data was sampled in a time-correlated manner as it is the case for MD simulation data, we can use this clustering result as a basis for the estimation of a core-set Markov-state model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-27T19:47:48.517661Z",
     "start_time": "2022-11-27T19:47:48.479767Z"
    }
   },
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'csmsm'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "Cell \u001b[1;32mIn [37], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mcsmsm\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mestimator\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m CoresetMarkovStateModel\n",
      "\u001b[1;31mModuleNotFoundError\u001b[0m: No module named 'csmsm'"
     ]
    }
   ],
   "source": [
    "from csmsm.estimator import CoresetMarkovStateModel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-10-07T14:31:43.911945Z",
     "start_time": "2021-10-07T14:31:43.893737Z"
    }
   },
   "outputs": [],
   "source": [
    "langerin = cluster.Clustering(\n",
    "    np.load(\"md_example/langerin_projection.npy\", allow_pickle=True),\n",
    "    alias=\"C-type lectin langerin\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-10-07T14:31:45.739071Z",
     "start_time": "2021-10-07T14:31:45.734022Z"
    }
   },
   "outputs": [],
   "source": [
    "langerin.labels = np.load(\"md_example/langerin_labels.npy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-10-07T14:32:13.527658Z",
     "start_time": "2021-10-07T14:32:13.240072Z"
    }
   },
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "__init__() got an unexpected keyword argument 'unit'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-11-42957f32a014>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mM\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mCoresetMarkovStateModel\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mlangerin\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mto_dtrajs\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0munit\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"ns\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mstep\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32msrc/csmsm/estimator.pyx\u001b[0m in \u001b[0;36mcsmsm.estimator.CoresetMarkovStateModel.__init__\u001b[1;34m()\u001b[0m\n",
      "\u001b[1;31mTypeError\u001b[0m: __init__() got an unexpected keyword argument 'unit'"
     ]
    }
   ],
   "source": [
    "M = CoresetMarkovStateModel(langerin.to_dtrajs(), unit=\"ns\", step=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 251,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Estimate csMSM for different lag times (given in steps)\n",
    "lags = [1, 2, 4, 8, 15, 30]\n",
    "for i in lags:\n",
    "    M.cmsm(lag=i, minlenfactor=5, v=False)\n",
    "    M.get_its()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 252,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0.0, 10459.606311240232)]"
      ]
     },
     "execution_count": 252,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the time scales\n",
    "fig, ax, *_ = M.plot_its()\n",
    "fig.tight_layout(pad=0.1)\n",
    "ax.set(**{\n",
    "    \"ylim\": (0, None)\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 224,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 750x450 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "matrix = ax.imshow(M.T, cmap=mpl.cm.inferno)\n",
    "fig.colorbar(matrix)\n",
    "ax.set(**{\n",
    "    \"aspect\": \"equal\",\n",
    "    \"xticks\": range(len(M.T)),\n",
    "    \"xticklabels\": range(1, len(M.T) + 1),\n",
    "    \"yticks\": range(len(M.T)),\n",
    "    \"yticklabels\": range(1, len(M.T) + 1)\n",
    "})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Label\tr\tc\n",
      "--------------------\n",
      "1\t0.19\t15\n",
      "2\t0.4\t5\n",
      "3\t0.25\t15\n",
      "4\t0.4\t5\n",
      "5\t0.375\t10\n",
      "6\t0.375\t10\n",
      "7\t0.19\t15\n",
      "8\t0.19\t15\n",
      "9\t0.5\t5\n",
      "10\t0.5\t5\n",
      "11\t0.5\t5\n",
      "12\t0.5\t5\n",
      "13\t0.375\t10\n",
      "14\t0.375\t10\n",
      "15\t0.5\t5\n",
      "16\t0.19\t15\n",
      "17\t0.25\t15\n"
     ]
    }
   ],
   "source": [
    "# Lets make sure we work on the correctly clustered object\n",
    "print(\"Label\", \"r\", \"c\", sep=\"\\t\")\n",
    "print(\"-\" * 20)\n",
    "for k, v in sorted(langerin_reduced.labels.info.params.items()):\n",
    "    print(k, *v, sep=\"\\t\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [],
   "source": [
    "langerin_reduced_less = langerin.cut(points=(None, None, 50))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "ename": "MemoryError",
     "evalue": "Unable to allocate 10.5 GiB for an array with shape (52942, 26528) and data type float64",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mMemoryError\u001b[0m                               Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-143-4379ad10935c>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mlangerin_reduced_less\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcalc_dist\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mlangerin_reduced\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mmmap\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mTrue\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mmmap_file\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"/home/janjoswig/tmp/tmp.npy\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mchunksize\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1000\u001b[0m\u001b[1;33m)\u001b[0m  \u001b[1;31m# Distance map calculation\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32m~/CNN/cnnclustering/cnn.py\u001b[0m in \u001b[0;36mcalc_dist\u001b[1;34m(self, other, v, method, mmap, mmap_file, chunksize, progress, **kwargs)\u001b[0m\n\u001b[0;32m   1732\u001b[0m                 \u001b[0mlen_self\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpoints\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1733\u001b[0m                 \u001b[0mlen_other\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mother\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpoints\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1734\u001b[1;33m                 self.data.distances = np.memmap(\n\u001b[0m\u001b[0;32m   1735\u001b[0m                     \u001b[0mmmap_file\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1736\u001b[0m                     dtype=settings.float_precision_map[\n",
      "\u001b[1;32m~/CNN/cnnclustering/cnn.py\u001b[0m in \u001b[0;36mdistances\u001b[1;34m(self, x)\u001b[0m\n\u001b[0;32m   1124\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0mdistances\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1125\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0misinstance\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mDistances\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1126\u001b[1;33m             \u001b[0mx\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mDistances\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1127\u001b[0m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_distances\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mx\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1128\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~/CNN/cnnclustering/cnn.py\u001b[0m in \u001b[0;36m__new__\u001b[1;34m(cls, d, reference)\u001b[0m\n\u001b[0;32m    722\u001b[0m             \u001b[0md\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    723\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 724\u001b[1;33m         \u001b[0mobj\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0matleast_2d\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0masarray\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0md\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfloat_\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mview\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcls\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    725\u001b[0m         \u001b[0mobj\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_reference\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    726\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mobj\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~/.pyenv/versions/miniconda3-4.7.12/envs/cnnclustering/lib/python3.8/site-packages/numpy/core/_asarray.py\u001b[0m in \u001b[0;36masarray\u001b[1;34m(a, dtype, order)\u001b[0m\n\u001b[0;32m     81\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     82\u001b[0m     \"\"\"\n\u001b[1;32m---> 83\u001b[1;33m     \u001b[1;32mreturn\u001b[0m \u001b[0marray\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ma\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcopy\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mFalse\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0morder\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0morder\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     84\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     85\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mMemoryError\u001b[0m: Unable to allocate 10.5 GiB for an array with shape (52942, 26528) and data type float64"
     ]
    }
   ],
   "source": [
    "langerin_reduced_less.calc_dist(langerin_reduced, mmap=True, mmap_file=\"/home/janjoswig/tmp/tmp.npy\", chunksize=1000)  # Distance map calculation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cluster alternatives"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is always recommended to cross validate a clustering result with the outcome of other clustering approaches. We want to have a quick look at the alternative that density-peak clustering provides."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 750x750 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pydpc_clustering = pydpc.Cluster(langerin_reduced.data.points)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clustering in this case is just a single step without the need of parameter specification. In the following, however, we need to extract the actual clusters by looking at the plot below. Points that are clearly isolated in this plot are highly reliable cluster centers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "pydpc_clustering.autoplot = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 750x750 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pydpc_clustering.assign(0, 1.8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This gives us 7 clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 750x225 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "langerin_reduced.labels = (pydpc_clustering.membership + 1)\n",
    "draw_evaluate(langerin_reduced)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we are interested in core clusters we want to apply the core/halo criterion to disregard points with low cluster membership probabilitie as noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 750x225 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "langerin_reduced.labels[pydpc_clustering.halo_idx] = 0\n",
    "draw_evaluate(langerin_reduced)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "M = cmsm.CMSM(langerin_reduced.get_dtraj(), unit=\"ns\", step=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-12T09:31:02.428514Z",
     "start_time": "2019-09-12T09:31:02.357788Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "*********************************************************\n",
      "---------------------------------------------------------\n",
      "Computing coreset MSM at lagtime 1 ns\n",
      "---------------------------------------------------------\n",
      "\n",
      "Using 116 trajectories with 25900 steps over 7 coresets\n",
      "\n",
      "All sets are connected\n",
      "---------------------------------------------------------\n",
      "*********************************************************\n",
      "\n",
      "\n",
      "*********************************************************\n",
      "---------------------------------------------------------\n",
      "Computing coreset MSM at lagtime 2 ns\n",
      "---------------------------------------------------------\n",
      "\n",
      "Using 116 trajectories with 25900 steps over 7 coresets\n",
      "\n",
      "All sets are connected\n",
      "---------------------------------------------------------\n",
      "*********************************************************\n",
      "\n",
      "\n",
      "*********************************************************\n",
      "---------------------------------------------------------\n",
      "Computing coreset MSM at lagtime 4 ns\n",
      "---------------------------------------------------------\n",
      "\n",
      "Using 116 trajectories with 25900 steps over 7 coresets\n",
      "\n",
      "All sets are connected\n",
      "---------------------------------------------------------\n",
      "*********************************************************\n",
      "\n",
      "\n",
      "*********************************************************\n",
      "---------------------------------------------------------\n",
      "Computing coreset MSM at lagtime 8 ns\n",
      "---------------------------------------------------------\n",
      "\n",
      "Using 116 trajectories with 25900 steps over 7 coresets\n",
      "\n",
      "All sets are connected\n",
      "---------------------------------------------------------\n",
      "*********************************************************\n",
      "\n",
      "\n",
      "*********************************************************\n",
      "---------------------------------------------------------\n",
      "Computing coreset MSM at lagtime 15 ns\n",
      "---------------------------------------------------------\n",
      "\n",
      "Trajectories [0, 1, 73]\n",
      "are shorter then step threshold (lag * minlenfactor = 75)\n",
      "and will not be used to compute the MSM.\n",
      "\n",
      "Using 113 trajectories with 25732 steps over 7 coresets\n",
      "\n",
      "All sets are connected\n",
      "---------------------------------------------------------\n",
      "*********************************************************\n",
      "\n",
      "\n",
      "*********************************************************\n",
      "---------------------------------------------------------\n",
      "Computing coreset MSM at lagtime 30 ns\n",
      "---------------------------------------------------------\n",
      "\n",
      "Trajectories [0, 1, 4, 63, 73]\n",
      "are shorter then step threshold (lag * minlenfactor = 150)\n",
      "and will not be used to compute the MSM.\n",
      "\n",
      "Using 111 trajectories with 25447 steps over 7 coresets\n",
      "\n",
      "All sets are connected\n",
      "---------------------------------------------------------\n",
      "*********************************************************\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Estimate csMSM for different lag times (given in steps)\n",
    "lags = [1, 2, 4, 8, 15, 30]\n",
    "for i in lags:\n",
    "    M.cmsm(lag=i, minlenfactor=5)\n",
    "    M.get_its()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-12T09:31:20.706043Z",
     "start_time": "2019-09-12T09:31:19.851168Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the time scales\n",
    "fig, ax, *_ = M.plot_its()\n",
    "fig.tight_layout(pad=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 750x630 with 7 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figsize = mpl.rcParams[\"figure.figsize\"]\n",
    "mpl.rcParams[\"figure.figsize\"] = figsize[0], figsize[1] * 0.2\n",
    "M.plot_eigenvectors()\n",
    "mpl.rcParams[\"figure.figsize\"] = figsize"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This result is in good agreement with the one we obtained manually and argualbe faster and easier to achieve. If we decide that this result is exactly what we consider valid, then this is nice. If we on the other hand want to tune the clustering result further, with respect to splitting, noise level and what is considered noise in the first place we gain more flexibility with the manual approach."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "labcommonnn_3.10.7",
   "language": "python",
   "name": "labcommonnn_3.10.7"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.7"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "199.969px"
   },
   "toc_section_display": true,
   "toc_window_display": true
  },
  "toc-autonumbering": false,
  "toc-showcode": false,
  "toc-showmarkdowntxt": false,
  "toc-showtags": false,
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
