47_ANN_classifier.ipynb

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     "end_time": "2023-06-01T20:47:58.416486Z",
     "start_time": "2023-06-01T20:47:56.511937Z"
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch as torch\n",
    "import torch.nn as nn\n",
    "\n",
    "import matplotlib_inline.backend_inline\n",
    "matplotlib_inline.backend_inline.set_matplotlib_formats('svg')"
   ]
  },
  {
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   "execution_count": 2,
   "id": "cc207dd7",
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   "source": [
    "ANN_classifier = nn.Sequential(\n",
    "    nn.Linear(2,1),\n",
    "    nn.ReLU(),\n",
    "    nn.Linear(1,1),\n",
    "    nn.Sigmoid()\n",
    ")"
   ]
  },
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   "source": [
    "learning_rate = 0.1\n",
    "loss_fxn = nn.BCELoss()\n",
    "optmiser = torch.optim.SGD(ANN_classifier.parameters(), lr=learning_rate)\n",
    "epoch = 1000"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "# Data"
   ]
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    "ExecuteTime": {
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   "outputs": [
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   "source": [
    "N = 100\n",
    "noise = 1\n",
    "A_center = [1,1]\n",
    "B_center = [5,1]\n",
    "\n",
    "a = [A_center[0] + np.random.randn(N)*noise, A_center[1] + np.random.randn(N)*noise]\n",
    "b = [B_center[0] + np.random.randn(N)*noise, B_center[1] + np.random.randn(N)*noise]\n",
    "\n",
    "labels = np.vstack((np.zeros((N,1)), np.ones((N,1))))  # making vertical stack of [00000...11111....] for category\n",
    "data = np.hstack((a,b)).T\n",
    "\n",
    "x = torch.tensor(data).float()\n",
    "y = torch.tensor(labels).float()\n",
    "\n",
    "# x\n",
    "# (y==1).T[0]\n",
    "# x[(y==0).T[0], 0]\n",
    "# x[(y==1).T[0], 1]\n",
    "\n",
    "fig = plt.figure(figsize=(5,5))\n",
    "plt.plot(x[(y==0).T[0], 0], x[(y==0).T[0], 1], 'bs')  # Category Type = 0\n",
    "plt.plot(x[(y==1).T[0], 0], x[(y==1).T[0], 1], 'ro')  # Category Type = 0\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f48b7741",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-01T20:48:06.386437Z",
     "start_time": "2023-06-01T20:48:05.782925Z"
    }
   },
   "outputs": [
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   "source": [
    "loss_list = torch.zeros(epoch)\n",
    "\n",
    "for ep in range(epoch):\n",
    "    y_ = ANN_classifier(x)\n",
    "    \n",
    "    loss = loss_fxn(y_, y)\n",
    "    loss_list[ep] = loss\n",
    "    \n",
    "    optmiser.zero_grad()\n",
    "    loss.backward()\n",
    "    optmiser.step()\n",
    "    \n",
    "plt.plot(loss_list.detach(), 'o')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('loss')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3aefc4cd",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-01T20:52:04.856575Z",
     "start_time": "2023-06-01T20:52:04.850630Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy =  96.5\n"
     ]
    }
   ],
   "source": [
    "prediction = ANN_classifier(x) > 0.5\n",
    "missclassified = np.where(prediction != y)[0]\n",
    "\n",
    "accuracy = 100 - 100*len(missclassified)/(2*N)\n",
    "print(\"Accuracy = \", accuracy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "08fc7594",
   "metadata": {
    "ExecuteTime": {
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     "start_time": "2023-06-01T20:55:55.696224Z"
    }
   },
   "outputs": [
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      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5,5))\n",
    "plt.plot(x[missclassified, 0], x[missclassified, 1], 'kx', markersize=12, markeredgewidth=5)\n",
    "\n",
    "plt.plot(x[(y==0).T[0], 0], x[(y==0).T[0], 1], 'gs')  # Category Type = 0\n",
    "plt.plot(x[(y==1).T[0], 0], x[(y==1).T[0], 1], 'ro')  # Category Type = 0\n",
    "\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "079ee8ad",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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