Chapter_2.ipynb

{
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   "metadata": {
    "ExecuteTime": {
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     "start_time": "2021-03-22T03:54:41.927847Z"
    },
    "tags": [
     "remove_cell"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/edraff/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:1: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "from tqdm.autonotebook import tqdm\n",
    "\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import pandas as pd\n",
    "\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:42.998042Z",
     "start_time": "2021-03-22T03:54:42.534066Z"
    }
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "from torch.utils.data import * \n",
    "from idlmam import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:43.005648Z",
     "start_time": "2021-03-22T03:54:43.000225Z"
    },
    "tags": [
     "remove_cell"
    ]
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from IPython.display import set_matplotlib_formats\n",
    "set_matplotlib_formats('png', 'pdf')\n",
    "\n",
    "def set_seed(seed):\n",
    "    torch.manual_seed(seed)\n",
    "    np.random.seed(seed)\n",
    "\n",
    "torch.backends.cudnn.deterministic=True\n",
    "set_seed(42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:43.012355Z",
     "start_time": "2021-03-22T03:54:43.007183Z"
    }
   },
   "outputs": [],
   "source": [
    "def train_simple_network(model, loss_func, training_loader, epochs=20, device=\"cpu\"):\n",
    "    #Yellow step is done here. We create the optimizer and move the model to the compute device\n",
    "    #SGD is Stochastic Gradient Decent over the parameters $\\Theta$\n",
    "    optimizer = torch.optim.SGD(model.parameters(), lr=0.001)\n",
    "\n",
    "    #Place the model on the correct compute resource (CPU or GPU)\n",
    "    model.to(device)\n",
    "    #The next two for loops handle the Red steps, iterating through all the data (batches) multiple times (epochs)\n",
    "    for epoch in tqdm(range(epochs), desc=\"Epoch\"):\n",
    "    \n",
    "        model = model.train()#Put our model in training mode\n",
    "        running_loss = 0.0\n",
    "\n",
    "        for inputs, labels in tqdm(training_loader, desc=\"Batch\", leave=False):\n",
    "            #Move the batch of data to the device we are using. this is the last red step\n",
    "            inputs = moveTo(inputs, device)\n",
    "            labels = moveTo(labels, device)\n",
    "\n",
    "            #First a yellow step, prepare the optimizer. Most PyTorch code will do this first to make sure everything is in a clean and ready state. \n",
    "\n",
    "            #PyTorch stores gradients in a mutable data structure. So we need to set it to a clean state before we use it. \n",
    "            #Otherwise, it will have old information from a previous iteration\n",
    "            optimizer.zero_grad()\n",
    "\n",
    "            #The next two lines of code perform the two blue steps\n",
    "            y_hat = model(inputs) #this just computed $f_\\theta(\\boldsymbol{x_i})$\n",
    "\n",
    "            # Compute loss.\n",
    "            loss = loss_func(y_hat, labels)\n",
    "\n",
    "            #Now the remaining two yellow steps, compute the gradient and \".step()\" the optimizer\n",
    "            loss.backward()# $\\nabla_\\Theta$ just got computed by this one call\n",
    "\n",
    "            #Now we just need to update all the parameters\n",
    "            optimizer.step()# $\\Theta_{k+1} = \\Theta_k − \\eta \\cdot \\nabla_\\Theta \\ell(\\hat{y}, y)$\n",
    "\n",
    "            #Now we are just grabbing some information we would like to have\n",
    "            running_loss += loss.item()\n",
    "#Caption: This code defines a simple training loop, which can be used to learn the parameters $\\Theta$ to almost any neural network $f_\\Theta(\\cdot)$ we will use in this book. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:43.246581Z",
     "start_time": "2021-03-22T03:54:43.013603Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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\n",
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Crate a 1-dimensional input\n",
    "X = np.linspace(0, 20, num=200)\n",
    "#create an output\n",
    "y = X + np.sin(X)*2 + np.random.normal(size=X.shape)\n",
    "sns.scatterplot(x=X, y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:43.251798Z",
     "start_time": "2021-03-22T03:54:43.247819Z"
    }
   },
   "outputs": [],
   "source": [
    "class Simple1DRegressionDataset(Dataset):\n",
    "        \n",
    "    def __init__(self, X, y):\n",
    "        super(Simple1DRegressionDataset, self).__init__()\n",
    "        self.X = X.reshape(-1,1)\n",
    "        self.y = y.reshape(-1,1)\n",
    "        \n",
    "    \n",
    "    def __getitem__(self, index):\n",
    "        return torch.tensor(self.X[index,:], dtype=torch.float32), torch.tensor(self.y[index], dtype=torch.float32)\n",
    "\n",
    "    def __len__(self):\n",
    "        return self.X.shape[0]\n",
    "    \n",
    "training_loader = DataLoader(Simple1DRegressionDataset(X, y), shuffle=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:50.229124Z",
     "start_time": "2021-03-22T03:54:43.252990Z"
    },
    "tags": [
     "remove_output"
    ]
   },
   "outputs": [
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       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "in_features = 1\n",
    "out_features = 1\n",
    "model = nn.Linear(in_features, out_features)\n",
    "loss_func = nn.MSELoss()\n",
    "\n",
    "device = torch.device(\"cuda\")\n",
    "train_simple_network(model, loss_func, training_loader, device=device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:50.234488Z",
     "start_time": "2021-03-22T03:54:50.231083Z"
    }
   },
   "outputs": [],
   "source": [
    "with torch.no_grad():\n",
    "    Y_pred = model(torch.tensor(X.reshape(-1,1), device=device, dtype=torch.float32)).cpu().numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:50.546517Z",
     "start_time": "2021-03-22T03:54:50.236073Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(x=X, y=y, color='blue', label='Data') #The data\n",
    "sns.lineplot(x=X, y=Y_pred.ravel(), color='red', label='Linear Model') #What our model learned"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:52.736548Z",
     "start_time": "2021-03-22T03:54:50.548436Z"
    },
    "tags": [
     "remove_output"
    ]
   },
   "outputs": [
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     "output_type": "stream",
     "text": [
      "\n"
     ]
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   ],
   "source": [
    "#Input \"layer\" is implicitly the input \n",
    "model = nn.Sequential(\n",
    "    nn.Linear(1,  10), #Hidden layer\n",
    "    nn.Linear(10, 1), #Output layer\n",
    ")\n",
    "\n",
    "train_simple_network(model, loss_func, training_loader)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:53.011027Z",
     "start_time": "2021-03-22T03:54:52.739923Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with torch.no_grad():\n",
    "    Y_pred = model(torch.tensor(X.reshape(-1,1), dtype=torch.float32)).cpu().numpy() #Shape of (N, 1)\n",
    "    \n",
    "sns.scatterplot(x=X, y=y, color='blue', label='Data') #The data\n",
    "sns.lineplot(x=X, y=Y_pred.ravel(), color='red', label='Model') #What our model learned"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:54:53.524918Z",
     "start_time": "2021-03-22T03:54:53.012690Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Activation')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "activation_input = np.linspace(-2, 2, num=200)\n",
    "tanh_activation = np.tanh(activation_input)\n",
    "sigmoid_activation = np.exp(activation_input)/(np.exp(activation_input)+1)\n",
    "sns.lineplot(x=activation_input, y=activation_input, color='black', label=\"linear\")\n",
    "sns.lineplot(x=activation_input, y=tanh_activation, color='red', label=\"tanh(x)\")\n",
    "ax = sns.lineplot(x=activation_input, y=sigmoid_activation, color='blue', label=\"$\\sigma(x)$\")\n",
    "ax.set_xlabel('Input value x')\n",
    "ax.set_ylabel('Activation')"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model = nn.Sequential(\n",
    "    nn.Linear(1,  10),#hidden layer\n",
    "    nn.Tanh(),#activation\n",
    "    nn.Linear(10, 1),#output layer\n",
    ")\n",
    "\n",
    "train_simple_network(model, loss_func, training_loader, epochs=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:14.168007Z",
     "start_time": "2021-03-22T03:55:13.810608Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with torch.no_grad():\n",
    "    Y_pred = model(torch.tensor(X.reshape(-1,1), dtype=torch.float32)).cpu().numpy()\n",
    "    \n",
    "sns.scatterplot(x=X, y=y, color='blue', label='Data') #The data\n",
    "sns.lineplot(x=X, y=Y_pred.ravel(), color='red', label='Model') #What our model learned"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:14.635122Z",
     "start_time": "2021-03-22T03:55:14.169268Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "X, y = make_moons(n_samples=200, noise=0.05)\n",
    "sns.scatterplot(x=X[:,0], y=X[:,1], hue=y, style=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:14.639500Z",
     "start_time": "2021-03-22T03:55:14.636500Z"
    }
   },
   "outputs": [],
   "source": [
    "classification_dataset = torch.utils.data.TensorDataset(torch.tensor(X, dtype=torch.float32), torch.tensor(y, dtype=torch.long))\n",
    "training_loader = DataLoader(classification_dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:14.645626Z",
     "start_time": "2021-03-22T03:55:14.640916Z"
    }
   },
   "outputs": [],
   "source": [
    "in_features = 2\n",
    "out_features = 2\n",
    "model = nn.Linear(in_features, out_features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:18.756503Z",
     "start_time": "2021-03-22T03:55:14.647095Z"
    },
    "tags": [
     "remove_output"
    ]
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7f7fb3e9c2894ddbbddc8b18313de7cc",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Epoch'), FloatProgress(value=0.0, max=50.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def visualize2DSoftmax(X, y, model, title=None):\n",
    "    x_min = np.min(X[:,0])-0.5\n",
    "    x_max = np.max(X[:,0])+0.5\n",
    "    y_min = np.min(X[:,1])-0.5\n",
    "    y_max = np.max(X[:,1])+0.5\n",
    "    xv, yv = np.meshgrid(np.linspace(x_min, x_max, num=20), np.linspace(y_min, y_max, num=20), indexing='ij')\n",
    "    xy_v = np.hstack((xv.reshape(-1,1), yv.reshape(-1,1)))\n",
    "    with torch.no_grad():\n",
    "        logits = model(torch.tensor(xy_v, dtype=torch.float32))\n",
    "        y_hat = F.softmax(logits, dim=1).numpy()\n",
    "\n",
    "    cs = plt.contourf(xv, yv, y_hat[:,0].reshape(20,20), levels=np.linspace(0,1,num=20), cmap=plt.cm.RdYlBu)\n",
    "    ax = plt.gca()\n",
    "    sns.scatterplot(x=X[:,0], y=X[:,1], hue=y, style=y, ax=ax)\n",
    "    if title is not None:\n",
    "        ax.set_title(title)\n",
    "\n",
    "visualize2DSoftmax(X, y, model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:48.545668Z",
     "start_time": "2021-03-22T03:55:19.089448Z"
    },
    "tags": [
     "remove_output"
    ]
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "56024f6b349d4e5aab0b1e3b86883b6c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Epoch'), FloatProgress(value=0.0, max=250.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Batch'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
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    {
     "data": {
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model = nn.Sequential(\n",
    "    nn.Linear(2,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30, 2),\n",
    ")\n",
    "train_simple_network(model, loss_func, training_loader, epochs=250)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:48.890523Z",
     "start_time": "2021-03-22T03:55:48.546909Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize2DSoftmax(X, y, model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:48.897980Z",
     "start_time": "2021-03-22T03:55:48.891771Z"
    },
    "tags": [
     "remove_cell"
    ]
   },
   "outputs": [],
   "source": [
    "def run_epoch(model, optimizer, data_loader, loss_func, device, results, score_funcs, prefix=\"\", desc=None):\n",
    "    running_loss = []\n",
    "    y_true = []\n",
    "    y_pred = []\n",
    "    start = time.time()\n",
    "    for inputs, labels in tqdm(data_loader, desc=desc, leave=False):\n",
    "        #Move the batch to the device we are using. \n",
    "        inputs = moveTo(inputs, device)\n",
    "        labels = moveTo(labels, device)\n",
    "\n",
    "        y_hat = model(inputs) #this just computed f_Θ(x(i))\n",
    "        # Compute loss.\n",
    "        loss = loss_func(y_hat, labels)\n",
    "\n",
    "        if model.training:\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "            optimizer.zero_grad()\n",
    "\n",
    "        #Now we are just grabbing some information we would like to have\n",
    "        running_loss.append(loss.item())\n",
    "\n",
    "        if len(score_funcs) > 0 and isinstance(labels, torch.Tensor):\n",
    "            #moving labels & predictions back to CPU for computing / storing predictions\n",
    "            labels = labels.detach().cpu().numpy()\n",
    "            y_hat = y_hat.detach().cpu().numpy()\n",
    "            #add to predictions so far\n",
    "            y_true.extend(labels.tolist())\n",
    "            y_pred.extend(y_hat.tolist())\n",
    "    #end training epoch\n",
    "    end = time.time()\n",
    "    \n",
    "    y_pred = np.asarray(y_pred)\n",
    "    if len(y_pred.shape) == 2 and y_pred.shape[1] > 1: #We have a classification problem, convert to labels\n",
    "        y_pred = np.argmax(y_pred, axis=1)\n",
    "    #Else, we assume we are working on a regression problem\n",
    "    \n",
    "    results[prefix + \" loss\"].append( np.mean(running_loss) )\n",
    "    for name, score_func in score_funcs.items():\n",
    "        try:\n",
    "            results[prefix + \" \" + name].append( score_func(y_true, y_pred) )\n",
    "        except:\n",
    "            results[prefix + \" \" + name].append(float(\"NaN\"))\n",
    "    return end-start #time spent on epoch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:48.905343Z",
     "start_time": "2021-03-22T03:55:48.899287Z"
    },
    "tags": [
     "remove_cell"
    ]
   },
   "outputs": [],
   "source": [
    "def train_simple_network(model, loss_func, train_loader, test_loader=None, score_funcs=None, \n",
    "                         epochs=50, device=\"cpu\", checkpoint_file=None):\n",
    "    to_track = [\"epoch\", \"total time\", \"train loss\"]\n",
    "    if test_loader is not None:\n",
    "        to_track.append(\"test loss\")\n",
    "    for eval_score in score_funcs:\n",
    "        to_track.append(\"train \" + eval_score )\n",
    "        if test_loader is not None:\n",
    "            to_track.append(\"test \" + eval_score )\n",
    "        \n",
    "    total_train_time = 0 #How long have we spent in the training loop? \n",
    "    results = {}\n",
    "    #Initialize every item with an empty list\n",
    "    for item in to_track:\n",
    "        results[item] = []\n",
    "        \n",
    "    #SGD is Stochastic Gradient Decent.\n",
    "    optimizer = torch.optim.SGD(model.parameters(), lr=0.001)\n",
    "    #Place the model on the correct compute resource (CPU or GPU)\n",
    "    model.to(device)\n",
    "    for epoch in tqdm(range(epochs), desc=\"Epoch\"):\n",
    "        model = model.train()#Put our model in training mode\n",
    "        \n",
    "        total_train_time += run_epoch(model, optimizer, train_loader, loss_func, device, results, score_funcs, prefix=\"train\", desc=\"Training\")\n",
    "\n",
    "        results[\"total time\"].append( total_train_time )\n",
    "        results[\"epoch\"].append( epoch )\n",
    "        \n",
    "        if test_loader is not None:\n",
    "            model = model.eval()\n",
    "            with torch.no_grad():\n",
    "                run_epoch(model, optimizer, test_loader, loss_func, device, results, score_funcs, prefix=\"test\", desc=\"Testing\")\n",
    "                    \n",
    "    if checkpoint_file is not None:\n",
    "        torch.save({\n",
    "            'epoch': epoch,\n",
    "            'model_state_dict': model.state_dict(),\n",
    "            'optimizer_state_dict': optimizer.state_dict(),\n",
    "            'results' : results\n",
    "            }, checkpoint_file)\n",
    "\n",
    "    return pd.DataFrame.from_dict(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:48.916969Z",
     "start_time": "2021-03-22T03:55:48.906486Z"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import accuracy_score\n",
    "from sklearn.metrics import f1_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:55:48.924011Z",
     "start_time": "2021-03-22T03:55:48.918223Z"
    }
   },
   "outputs": [],
   "source": [
    "X_train, y_train = make_moons(n_samples=8000, noise=0.4)\n",
    "X_test, y_test = make_moons(n_samples=200, noise=0.4)\n",
    "train_dataset = TensorDataset(torch.tensor(X_train, dtype=torch.float32), torch.tensor(y_train, dtype=torch.long))\n",
    "test_dataset = TensorDataset(torch.tensor(X_test, dtype=torch.float32), torch.tensor(y_test, dtype=torch.long))\n",
    "training_loader = DataLoader(train_dataset, shuffle=True)\n",
    "testing_loader = DataLoader(test_dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:56:08.551833Z",
     "start_time": "2021-03-22T03:55:48.925105Z"
    },
    "tags": [
     "remove_output"
    ]
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5b19f9a7d78142b5b690adc4a31f6498",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Epoch'), FloatProgress(value=0.0, max=5.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=8000.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=8000.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=8000.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=8000.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=8000.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=200.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model = nn.Sequential(\n",
    "    nn.Linear(2,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30, 2),\n",
    ")\n",
    "results_pd = train_simple_network(model, loss_func, training_loader, epochs=5, test_loader=testing_loader, checkpoint_file='model.pt', score_funcs={'Acc':accuracy_score,'F1': f1_score})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:56:09.231802Z",
     "start_time": "2021-03-22T03:56:08.553142Z"
    }
   },
   "outputs": [
    {
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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
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\n",
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model_new = nn.Sequential(\n",
    "    nn.Linear(2,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30, 2),\n",
    ")\n",
    "\n",
    "visualize2DSoftmax(X_test, y_test, model_new, title=\"Initial Model\")\n",
    "plt.show()\n",
    "\n",
    "checkpoint_dict = torch.load('model.pt', map_location=device)\n",
    "\n",
    "\n",
    "model_new.load_state_dict(checkpoint_dict['model_state_dict'])\n",
    "\n",
    "visualize2DSoftmax(X_test, y_test, model_new, title=\"Loaded Model\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:56:09.568173Z",
     "start_time": "2021-03-22T03:56:09.233253Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='epoch', ylabel='train Acc'>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot(x='epoch', y='train Acc', data=results_pd, label='Train')\n",
    "sns.lineplot(x='epoch', y='test Acc', data=results_pd, label='Validation')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:56:09.823298Z",
     "start_time": "2021-03-22T03:56:09.569471Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='total time', ylabel='train F1'>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot(x='total time', y='train F1', data=results_pd, label='Train')\n",
    "sns.lineplot(x='total time', y='test F1', data=results_pd, label='Validation')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:56:10.548208Z",
     "start_time": "2021-03-22T03:56:09.824633Z"
    },
    "tags": [
     "remove_output"
    ]
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "82eaf7644058483581613aa22d4b8084",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Epoch'), FloatProgress(value=0.0, max=5.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Testing'), FloatProgress(value=0.0, max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "training_loader = DataLoader(train_dataset, batch_size=len(train_dataset), shuffle=True)\n",
    "testing_loader = DataLoader(test_dataset, batch_size=len(test_dataset))\n",
    "model_gd = nn.Sequential(\n",
    "    nn.Linear(2,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30, 2),\n",
    ")\n",
    "results_true_gd = train_simple_network(model_gd, loss_func, training_loader, epochs=5, test_loader=testing_loader, checkpoint_file='model.pt', score_funcs={'Acc':accuracy_score,'F1': f1_score})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:56:10.804880Z",
     "start_time": "2021-03-22T03:56:10.553937Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='total time', ylabel='test Acc'>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot(x='total time', y='test Acc', data=results_pd, label='SGD, B=1')\n",
    "sns.lineplot(x='total time', y='test Acc', data=results_true_gd, label='GD, B=N')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:56:13.570509Z",
     "start_time": "2021-03-22T03:56:12.336621Z"
    },
    "tags": [
     "remove_output"
    ]
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d67e64793edb4d4cbdbee9d49859382e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Epoch'), FloatProgress(value=0.0, max=5.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value='Training'), FloatProgress(value=0.0, max=250.0), HTML(value='')))"
      ]
     },
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    },
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     "metadata": {},
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     "data": {
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     "metadata": {},
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    },
    {
     "data": {
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     "metadata": {},
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    },
    {
     "data": {
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     "metadata": {},
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    },
    {
     "data": {
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      },
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     "metadata": {},
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    {
     "data": {
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       "model_id": "",
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       "version_minor": 0
      },
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     "metadata": {},
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "training_loader = DataLoader(train_dataset, batch_size=32, shuffle=True)\n",
    "model_sgd = nn.Sequential(\n",
    "    nn.Linear(2,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30,  30),\n",
    "    nn.Tanh(),\n",
    "    nn.Linear(30, 2),\n",
    ")\n",
    "results_batched = train_simple_network(model_sgd, loss_func, training_loader, epochs=5, test_loader=testing_loader, checkpoint_file='model.pt', score_funcs={'Acc':accuracy_score,'F1': f1_score})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-22T03:56:13.867710Z",
     "start_time": "2021-03-22T03:56:13.578197Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='total time', ylabel='test Acc'>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot(x='total time', y='test Acc', data=results_pd, label='SGD, B=1')\n",
    "sns.lineplot(x='total time', y='test Acc', data=results_true_gd, label='GD, B=N')\n",
    "sns.lineplot(x='total time', y='test Acc', data=results_batched, label='SGD, B=32')"
   ]
  }
 ],
 "metadata": {
  "author": "Why is it called &quot;softmax&quot;?",
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   "display_name": "Python 3",
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   "name": "python3"
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   "name": "python",
   "nbconvert_exporter": "python",
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  "latex_envs": {
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   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
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   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  },
  "latex_metadata": {
   "title": "Fully Connected Networks"
  },
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