BinaryANN.ipynb

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   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import numpy as np\n",
    "from torch.utils.data import TensorDataset, DataLoader\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib_inline.backend_inline\n",
    "matplotlib_inline.backend_inline.set_matplotlib_formats('svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "737ca8db-1e05-4a59-b271-412aa1ca8138",
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   "source": [
    "#create the data\n",
    "n=50 #number of samples\n",
    "#center data clouds for the two classes\n",
    "origin1=torch.tensor([2,2])\n",
    "origin2=torch.tensor([7,7])\n",
    "noise=1.9 #st dev of the noise spread\n",
    "#class 1\n",
    "x_class1=origin1 + noise *torch.randn(n,2)\n",
    "y_class1=torch.zeros(n)\n",
    "#class 2\n",
    "x_class2=origin2 + noise *torch.randn(n,2)\n",
    "y_class2=torch.ones(n)\n",
    "\n",
    "x= torch.cat([x_class1,x_class2],dim=0)\n",
    "y= torch.cat([y_class1,y_class2],dim=0)\n",
    "#shuffle\n",
    "indices = torch.randperm(len(x))\n",
    "coordinates = x[indices]\n",
    "labels = y[indices]"
   ]
  },
  {
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   ],
   "source": [
    "labels = labels.view(-1, 1)\n",
    "print(labels)"
   ]
  },
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     "metadata": {},
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   ],
   "source": [
    "plt.scatter(x[:, 0].numpy(), x[:, 1].numpy(), c=y.numpy(), cmap='bwr', alpha=0.7)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Binary Classification Data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "7dfbf769-c126-4c1a-bd56-eeb17bee1fb2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Sequential(\n",
       "  (0): Linear(in_features=2, out_features=1, bias=True)\n",
       "  (1): ReLU()\n",
       "  (2): Linear(in_features=1, out_features=1, bias=True)\n",
       "  (3): Sigmoid()\n",
       ")"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# build the model\n",
    "ANNclassify = nn.Sequential(\n",
    "    nn.Linear(2,1),   # input layer\n",
    "    nn.ReLU(),        # activation unit\n",
    "    nn.Linear(1,1),   # output unit\n",
    "    nn.Sigmoid(),     # final activation unit, better to use BCEWithLogitsLoss\n",
    "      )\n",
    "ANNclassify"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "id": "14ec1c96-cf79-46b0-a30a-4bbe12fc8eb6",
   "metadata": {},
   "outputs": [],
   "source": [
    "learningRate = .1\n",
    "# loss function\n",
    "lossfun = nn.BCELoss()\n",
    "# optimizer\n",
    "optimizer = torch.optim.SGD(ANNclassify.parameters(),lr=learningRate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "id": "e3267312-af60-47dd-93fa-3e6bb26f960a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# train the model\n",
    "numepochs = 1000\n",
    "losses = torch.zeros(numepochs)\n",
    "\n",
    "for epochs in range(numepochs):\n",
    "\n",
    "  # forward pass\n",
    "  yHat = ANNclassify(coordinates)\n",
    "\n",
    "  # compute loss\n",
    "  loss = lossfun(yHat,labels)\n",
    "  losses[epochs] = loss\n",
    "\n",
    "  # backprop\n",
    "  optimizer.zero_grad()\n",
    "  loss.backward()\n",
    "  optimizer.step()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "id": "f3db5040-8840-431b-9dd5-b66b91387dfc",
   "metadata": {},
   "outputs": [
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   ],
   "source": [
    "# show the losses\n",
    "\n",
    "plt.plot(losses.detach(),'o',markerfacecolor='w',linewidth=.1)\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Loss')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "id": "54161f7b-73b0-4845-91e6-5e9e358a91f9",
   "metadata": {},
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Final accuracy: 98%\n"
     ]
    }
   ],
   "source": [
    "# compute the predictions\n",
    "\n",
    "# manually compute losses\n",
    "# final forward pass\n",
    "predictions = ANNclassify(coordinates)\n",
    "\n",
    "predlabels = predictions>.5\n",
    "\n",
    "# find errors\n",
    "misclassified = np.where(predlabels != labels)[0]\n",
    "\n",
    "# total accuracy\n",
    "totalacc = 100-100*len(misclassified)/(2*n)\n",
    "\n",
    "print('Final accuracy: %g%%' %totalacc)\n"
   ]
  },
  {
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   "execution_count": 157,
   "id": "ad0aeda2-0c0f-437d-b190-d9c66ca54493",
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   "source": [
    "# plot the labeled data\n",
    "fig = plt.figure(figsize=(5,5))\n",
    "plt.plot(coordinates[misclassified,0] ,coordinates[misclassified,1],'rx',markersize=12,markeredgewidth=3)\n",
    "plt.plot(coordinates[np.where(~predlabels)[0],0],coordinates[np.where(~predlabels)[0],1],'bs')\n",
    "plt.plot(coordinates[np.where(predlabels)[0],0] ,coordinates[np.where(predlabels)[0],1] ,'ko')\n",
    "\n",
    "plt.legend(['Misclassified','blue','black'],bbox_to_anchor=(1,1))\n",
    "plt.title(f'{totalacc}% correct')\n",
    "plt.show()"
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   "id": "0c74f2af-c553-4788-a046-5ba74aff2331",
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   "source": []
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