vampnets.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VAMPNets\n",
    "\n",
    "For users already familiar with the VAMPNets interface: The corresponding [API docs](../api/generated/deeptime.decomposition.deep.VAMPNet.rst).\n",
    "\n",
    "VAMPNets <cite data-footcite=\"mardt2018vampnets\">(Mardt, 2018)</cite> are a deep learning approach that try to find transformations $\\chi_0$ and $\\chi_1$ parameterized by neural networks which optimize a [VAMP](./vamp.ipynb) score <cite data-footcite=\"wu2020variational\">(Wu, 2020)</cite>. These networks therefore can yield transformations of input data so that the featurization is optimal, i.e., the approximation of the Koopman operator is best."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Working with VAMPNets requires a working installation of [PyTorch](https://pytorch.org/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:43.047509Z",
     "start_time": "2021-04-20T12:48:42.021272Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:17.253802Z",
     "iopub.status.busy": "2020-12-02T13:45:17.253320Z",
     "iopub.status.idle": "2020-12-02T13:45:17.255813Z",
     "shell.execute_reply": "2020-12-02T13:45:17.256170Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "import torch\n",
    "import torch.nn as nn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we select a device (i.e., the hardware on which optimizations and transformations are carried out in VAMPNets):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:43.138215Z",
     "start_time": "2021-04-20T12:48:43.050089Z"
    }
   },
   "outputs": [],
   "source": [
    "if torch.cuda.is_available():\n",
    "    device = torch.device(\"cuda\")\n",
    "    torch.backends.cudnn.benchmark = True\n",
    "else:\n",
    "    device = torch.device(\"cpu\")\n",
    "torch.set_num_threads(12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our test system is the [sqrt model](../api/generated/deeptime.data.sqrt_model.rst). It is a hidden two-state jump process with a two-dimensional observable emission distribution so that the two states cannot be linearly separated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:43.833426Z",
     "start_time": "2021-04-20T12:48:43.140120Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:17.262113Z",
     "iopub.status.busy": "2020-12-02T13:45:17.261335Z",
     "iopub.status.idle": "2020-12-02T13:45:17.269157Z",
     "shell.execute_reply": "2020-12-02T13:45:17.268476Z"
    }
   },
   "outputs": [],
   "source": [
    "from deeptime.data import sqrt_model\n",
    "\n",
    "dtraj, traj = sqrt_model(n_samples=10000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, `dtraj` are the discrete reference states and `traj` is the observable trajectory:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:46.557926Z",
     "start_time": "2021-04-20T12:48:43.834984Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:17.277341Z",
     "iopub.status.busy": "2020-12-02T13:45:17.276589Z",
     "iopub.status.idle": "2020-12-02T13:45:19.928003Z",
     "shell.execute_reply": "2020-12-02T13:45:19.927593Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "X, Y = np.meshgrid(\n",
    "    np.linspace(np.min(traj[:, 0]), np.max(traj[:, 0]), 100), \n",
    "    np.linspace(np.min(traj[:, 1]), np.max(traj[:, 1]), 100),\n",
    ")\n",
    "kde_input = np.dstack((X, Y)).reshape(-1, 2)\n",
    "\n",
    "kernel = stats.gaussian_kde(traj.T, bw_method=.1)\n",
    "Z = kernel(kde_input.T).reshape(X.shape)\n",
    "\n",
    "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(16, 6))\n",
    "ax1.plot(dtraj[:500])\n",
    "ax1.set_title('Discrete trajectory')\n",
    "ax1.set_xlabel('time (a.u.)')\n",
    "ax1.set_ylabel('state')\n",
    "\n",
    "cm = ax2.contourf(X, Y, Z)\n",
    "plt.colorbar(cm, ax=ax2);\n",
    "ax2.set_title('Heatmap of observations');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to work with the VAMPNet / PyTorch API it can be convenient to first convert the trajectory into a [time-lagged dataset](../api/generated/deeptime.data.TimeLaggedDataset.rst)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:46.562047Z",
     "start_time": "2021-04-20T12:48:46.559593Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:19.931843Z",
     "iopub.status.busy": "2020-12-02T13:45:19.931339Z",
     "iopub.status.idle": "2020-12-02T13:45:19.933409Z",
     "shell.execute_reply": "2020-12-02T13:45:19.932892Z"
    }
   },
   "outputs": [],
   "source": [
    "from deeptime.util.data import TrajectoryDataset\n",
    "\n",
    "dataset = TrajectoryDataset(1, traj.astype(np.float32))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now can split data into train and validation set, move the validation set into a torch tensor and onto the appropriate device."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:47.126230Z",
     "start_time": "2021-04-20T12:48:47.083668Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:19.936379Z",
     "iopub.status.busy": "2020-12-02T13:45:19.935933Z",
     "iopub.status.idle": "2020-12-02T13:45:19.938802Z",
     "shell.execute_reply": "2020-12-02T13:45:19.939233Z"
    }
   },
   "outputs": [],
   "source": [
    "n_val = int(len(dataset)*.3)\n",
    "train_data, val_data = torch.utils.data.random_split(dataset, [len(dataset) - n_val, n_val])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to define the transformations $\\chi_0$ and $\\chi_1$, in principle any PyTorch module can be used. Deeptime offers pre-defined multilayer perceptrons for that purpose. If not specified otherwise, it is assumed that $\\chi_0 = \\chi_1$ and parameters are shared."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:48.093889Z",
     "start_time": "2021-04-20T12:48:48.083428Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:19.943220Z",
     "iopub.status.busy": "2020-12-02T13:45:19.942515Z",
     "iopub.status.idle": "2020-12-02T13:45:19.946258Z",
     "shell.execute_reply": "2020-12-02T13:45:19.945874Z"
    }
   },
   "outputs": [],
   "source": [
    "from deeptime.util.torch import MLP\n",
    "lobe = MLP(units=[traj.shape[1], 15, 10, 10, 5, 1], nonlinearity=nn.ReLU)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can print a string representation of our lobe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:48.859234Z",
     "start_time": "2021-04-20T12:48:48.851463Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MLP(\n",
      "  (_sequential): Sequential(\n",
      "    (0): Linear(in_features=2, out_features=15, bias=True)\n",
      "    (1): ReLU()\n",
      "    (2): Linear(in_features=15, out_features=10, bias=True)\n",
      "    (3): ReLU()\n",
      "    (4): Linear(in_features=10, out_features=10, bias=True)\n",
      "    (5): ReLU()\n",
      "    (6): Linear(in_features=10, out_features=5, bias=True)\n",
      "    (7): ReLU()\n",
      "    (8): Linear(in_features=5, out_features=1, bias=True)\n",
      "  )\n",
      ")\n"
     ]
    }
   ],
   "source": [
    "print(lobe)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is important to transfer the parameters of the lobe to the appropriate device."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:54.677681Z",
     "start_time": "2021-04-20T12:48:50.388533Z"
    }
   },
   "outputs": [],
   "source": [
    "lobe = lobe.to(device=device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now a VAMPNet instance can be created. For the full range of possible arguments, please see the API docs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:54.687215Z",
     "start_time": "2021-04-20T12:48:54.680811Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:19.949698Z",
     "iopub.status.busy": "2020-12-02T13:45:19.949212Z",
     "iopub.status.idle": "2020-12-02T13:45:19.952233Z",
     "shell.execute_reply": "2020-12-02T13:45:19.952590Z"
    }
   },
   "outputs": [],
   "source": [
    "from deeptime.decomposition.deep import VAMPNet\n",
    "\n",
    "vampnet = VAMPNet(lobe=lobe, learning_rate=1e-4, device=device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to train it, data loaders must be created for the data sets:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:48:54.703600Z",
     "start_time": "2021-04-20T12:48:54.690172Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:19.955909Z",
     "iopub.status.busy": "2020-12-02T13:45:19.955528Z",
     "iopub.status.idle": "2020-12-02T13:45:19.957117Z",
     "shell.execute_reply": "2020-12-02T13:45:19.957524Z"
    }
   },
   "outputs": [],
   "source": [
    "from torch.utils.data import DataLoader\n",
    "\n",
    "loader_train = DataLoader(train_data, batch_size=512, shuffle=True)\n",
    "loader_val = DataLoader(val_data, batch_size=len(val_data), shuffle=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's train. We may also provide a tqdm progress bar to the `fit`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:49:18.365641Z",
     "start_time": "2021-04-20T12:48:54.706537Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:45:19.960655Z",
     "iopub.status.busy": "2020-12-02T13:45:19.960251Z",
     "iopub.status.idle": "2020-12-02T13:46:09.709963Z",
     "shell.execute_reply": "2020-12-02T13:46:09.710650Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VAMPNet epoch:   0%|          | 0/160 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from tqdm.notebook import tqdm\n",
    "model = vampnet.fit(loader_train, n_epochs=160, \n",
    "                    validation_loader=loader_val, progress=tqdm).fetch_model()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize the progression of the training:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:49:19.089418Z",
     "start_time": "2021-04-20T12:49:18.371454Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:46:09.714188Z",
     "iopub.status.busy": "2020-12-02T13:46:09.713457Z",
     "iopub.status.idle": "2020-12-02T13:46:10.441496Z",
     "shell.execute_reply": "2020-12-02T13:46:10.440639Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.loglog(*vampnet.train_scores.T, label='training')\n",
    "plt.loglog(*vampnet.validation_scores.T, label='validation')\n",
    "plt.xlabel('step')\n",
    "plt.ylabel('score')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Transforming and plotting the trajectory reveals a featurization in which the two states are nicely disentangled:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:49:19.627197Z",
     "start_time": "2021-04-20T12:49:19.091375Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:46:10.447983Z",
     "iopub.status.busy": "2020-12-02T13:46:10.447269Z",
     "iopub.status.idle": "2020-12-02T13:46:10.986971Z",
     "shell.execute_reply": "2020-12-02T13:46:10.986425Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat = model.transform(traj)\n",
    "\n",
    "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n",
    "\n",
    "ax1.set_title(r'Projected timeseries $\\chi(x_t, y_t)$')\n",
    "ax1.plot(feat[:1000])\n",
    "ax1.set_xlabel('t (a.u.)')\n",
    "ax1.set_ylabel(r'$\\chi(x_t, y_t)$')\n",
    "\n",
    "xmax = np.max(np.abs(traj[:, 0]))\n",
    "ymin = np.min(traj[:, 1])\n",
    "ymax = np.max(traj[:, 1])\n",
    "grid = np.meshgrid(np.linspace(-xmax-1, xmax+1, 150), np.linspace(ymin-1, ymax+1, 50))\n",
    "xy = np.dstack(grid).reshape(-1, 2)\n",
    "z = model.transform(xy)\n",
    "\n",
    "ax2.set_title(r'Values of $\\chi(x,y)$')\n",
    "ax2.set_xlabel('x')\n",
    "ax2.set_ylabel('y')\n",
    "cb = ax2.contourf(grid[0], grid[1], z.reshape(grid[0].shape), levels=15, cmap='coolwarm')\n",
    "ax2.scatter(*traj.T, s=.1, color='black', marker='x')\n",
    "plt.colorbar(cb, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comparing to a direct evaluation of [VAMP](vamp.ipynb), one can see that the the projection disentangles the process better when using the trained transformation - mainly due to the states not being linearly separable and VAMP being a linear method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:49:19.680252Z",
     "start_time": "2021-04-20T12:49:19.628713Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:46:10.992567Z",
     "iopub.status.busy": "2020-12-02T13:46:10.992018Z",
     "iopub.status.idle": "2020-12-02T13:46:11.025672Z",
     "shell.execute_reply": "2020-12-02T13:46:11.025254Z"
    }
   },
   "outputs": [],
   "source": [
    "from deeptime.decomposition import VAMP\n",
    "\n",
    "vamp_model_vnet = VAMP(lagtime=1, observable_transform=model).fit(traj).fetch_model()\n",
    "vamp_model_direct = VAMP(lagtime=1, dim=1).fit(traj).fetch_model()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:49:20.245269Z",
     "start_time": "2021-04-20T12:49:19.684283Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:46:11.035292Z",
     "iopub.status.busy": "2020-12-02T13:46:11.034584Z",
     "iopub.status.idle": "2020-12-02T13:46:11.503943Z",
     "shell.execute_reply": "2020-12-02T13:46:11.503548Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat = model.transform(traj)\n",
    "\n",
    "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n",
    "\n",
    "ax1.set_title(r'Projected timeseries $\\mathrm{VAMP}(x_t, y_t)$')\n",
    "ax1.plot(vamp_model_direct.transform(traj)[:1000])\n",
    "ax1.set_xlabel('t (a.u.)')\n",
    "ax1.set_ylabel(r'$\\mathrm{VAMP}(x_t, y_t)$')\n",
    "\n",
    "z = vamp_model_direct.transform(xy)\n",
    "ax2.set_title(r'Values of $\\mathrm{VAMP}(x,y)$')\n",
    "ax2.set_xlabel('x')\n",
    "ax2.set_ylabel('y')\n",
    "cb = ax2.contourf(grid[0], grid[1], z.reshape(grid[0].shape), levels=15, cmap='coolwarm')\n",
    "ax2.scatter(*traj.T, s=.1, color='black', marker='x')\n",
    "plt.colorbar(cb, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is also reflected in the (for example) VAMP-2 score:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:49:20.250949Z",
     "start_time": "2021-04-20T12:49:20.247000Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:46:11.506670Z",
     "iopub.status.busy": "2020-12-02T13:46:11.506294Z",
     "iopub.status.idle": "2020-12-02T13:46:11.509712Z",
     "shell.execute_reply": "2020-12-02T13:46:11.509159Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "VAMPNet score 1.78799\n",
      "Direct VAMP score 1.28104\n"
     ]
    }
   ],
   "source": [
    "print(f'VAMPNet score {vamp_model_vnet.score(2):.5f}')\n",
    "print(f'Direct VAMP score {vamp_model_direct.score(2):.5f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From here, e.g., a [MSM](../index_msm.rst) could be estimated to systematically analyze the kinetic properties of the system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:49:25.856340Z",
     "start_time": "2021-04-20T12:49:25.756924Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:46:11.516721Z",
     "iopub.status.busy": "2020-12-02T13:46:11.516310Z",
     "iopub.status.idle": "2020-12-02T13:46:11.520496Z",
     "shell.execute_reply": "2020-12-02T13:46:11.520148Z"
    }
   },
   "outputs": [],
   "source": [
    "from deeptime.clustering import KMeans\n",
    "from deeptime.markov.msm import MaximumLikelihoodMSM\n",
    "\n",
    "projection = vamp_model_vnet.transform(traj)\n",
    "dtraj_rec = KMeans(2).fit(projection).transform(projection)\n",
    "msm = MaximumLikelihoodMSM().fit(dtraj_rec, lagtime=1).fetch_model()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The estimated transition matrix fits with the hidden transition matrix that generated the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-20T12:49:26.548166Z",
     "start_time": "2021-04-20T12:49:26.535184Z"
    },
    "execution": {
     "iopub.execute_input": "2020-12-02T13:46:11.523711Z",
     "iopub.status.busy": "2020-12-02T13:46:11.523320Z",
     "iopub.status.idle": "2020-12-02T13:46:11.525102Z",
     "shell.execute_reply": "2020-12-02T13:46:11.525494Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "estimated transition matrix [[0.95227187 0.04772813]\n",
      " [0.05229995 0.94770005]]\n"
     ]
    }
   ],
   "source": [
    "print(\"estimated transition matrix\", msm.transition_matrix)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. rubric:: References\n",
    "\n",
    ".. footbibliography::"
   ]
  }
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