micrograd.ipynb

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   "source": [
    "Learning the basics of neural nets by implementing basic algos from scratch. This notebook is used to test and demo micrograd.py. It is is based on Andrej Karpathy's https://github.com/karpathy/micrograd."
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   "source": [
    "First, let's test and look at the autograd layer in micrograd.py. The code below creates a graph function to visualize a DAG of Values and uses that to visualize the graph created by performing operations on Value's"
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     "metadata": {},
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   "source": [
    "from micrograd import *\n",
    "from graphviz import Digraph\n",
    "def graph(self):\n",
    "    def trace(root):\n",
    "        nodes, edges = set(), set()\n",
    "        def build(v):\n",
    "            if v not in nodes:\n",
    "                nodes.add(v)\n",
    "                for child in v._prev:\n",
    "                    edges.add((child, v))\n",
    "                    build (child)\n",
    "        build(root)\n",
    "        return nodes, edges\n",
    "    \n",
    "    dot = Digraph(format=\"svg\", graph_attr={\"rankdir\": \"LR\"})\n",
    "    nodes, edges = trace(self)\n",
    "    for n in nodes:\n",
    "        uid = str(id(n))\n",
    "        dot.node(name=uid, label = f\"data {n.data:.4f} | grad {n.grad:.4f}\", shape=\"record\")\n",
    "        if n._op:\n",
    "            dot.node(name = uid + n._op, label = n._op)\n",
    "            dot.edge(uid + n._op, uid)\n",
    "\n",
    "    for n1, n2 in edges:\n",
    "        dot.edge(str(id(n1)), str(id(n2)) + n2._op)\n",
    "\n",
    "    return dot\n",
    "\n",
    "x = Value(2.0)\n",
    "y = Value(3.0)\n",
    "\n",
    "w1 = Value(-4.0)\n",
    "b1 = Value(9.0)\n",
    "y1 = relu(w1 * x + b1)\n",
    "\n",
    "w2 = Value(2.0)\n",
    "b2 = Value(-1.0)\n",
    "yhat = sigmoid(w2 * y1 + b2) + y1\n",
    "\n",
    "loss = (y - yhat)**2\n",
    "\n",
    "loss.backward()\n",
    "graph(loss)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, let's look at how Modules (build on top of Values) can be built run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: Sequential([Layer(inputs=2, outputs=4), ReLU, Layer(inputs=4, outputs=2)])\n",
      "Input: [1.0, 2.0], output: [0.7003237654225967, 2.026160727749767], expected output: [0.0, 1.0], loss: 0.7717\n"
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     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Simple 3-layer model, internally using Value objects as weights for the linear layers\n",
    "model = Sequential([Layer(2, 4), ReLU(), Layer(4, 2)])\n",
    "print (f\"Model: {model}\")\n",
    "\n",
    "# Some really simple training data; one example\n",
    "x = [1.0, 2.0]\n",
    "y = [0.0, 1.0]\n",
    "\n",
    "# Run the model, compute the MSE loss, and show the results\n",
    "y_hat = model(x)\n",
    "loss = mse_loss([y], [y_hat])\n",
    "print (f\"Input: {x}, output: {[yhi.data for yhi in y_hat]}, expected output: {y}, loss: {loss.data:.4f}\")\n",
    "\n",
    "# Backpropagate the loss, and show the gradient of all the model parameters\n",
    "loss.backward()\n",
    "graph(loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Simple 1 neuron test on the identity function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sequential([Layer(inputs=1, outputs=1)])\n",
      "Epoch 0: loss=1.5021\n",
      "Epoch 1: loss=0.5742\n",
      "Epoch 2: loss=0.2503\n",
      "Epoch 3: loss=0.1343\n",
      "Epoch 4: loss=0.0774\n",
      "Epoch 5: loss=0.0454\n",
      "Epoch 6: loss=0.0269\n",
      "Epoch 7: loss=0.0160\n",
      "Epoch 8: loss=0.0095\n",
      "Epoch 9: loss=0.0056\n",
      "1 neuron, 1 input linear test; y = 2x + 1 passed with MSE 0.0056\n"
     ]
    },
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pGjZsKLy9vUVsbKw4f/68zkuldV1SuXjxYtGmTRvh5uYmgoKCxIQJE8TNmzc12kRHR4v27dtr3a+KlysLIUS3bt1EcHBwNa/GA7peT33+JHVdKv3uu+9qfZ6Kl4WqjseFCxdE//79hbe3twgKChJJSUkal88KUX557rBhw4S3t7eoX7++GDdunDh16lSVS0Tv3bsnXnnlFREQECAkSapxH/S9VNrU75u9e/eKnj17Ci8vLxEaGipmzJghtmzZUuWScF3HXJea9r+mvh05ckSMHDlSNGnSRHh4eIjAwEDxt7/9TRw6dEjjcfbt2ye6desm3N3dNY7ryZMnBQAxa9YsvfucnZ0tXF1dxUMPPaT3NqakuhS+ps+VDz74QAAQ33//vcb2ly9fFjKZTAwcONDg567NpdK1+Swk05KEsLFZh0R2qLCwEP7+/li0aBEmTpxo7e7oNGrUKKxduxZFRUXW7gqZyJIlSzBjxgxcuHBBZ5heZdevX0dISAjmzJmj95U7RLaEc16ITGD37t1o1KgRxo4da+2ukJPZsWMHJk+erHfhApSnDSsUCrv9MUwinnkhciI88+Lctm/fjszMTMyePRt9+/ZV/wQBkb3hhF0iIicxd+5c7Nu3D4888gg++ugja3eHyGg880JERER2hXNeiIiIyK6weCEiIiK74nBzXpRKJa5duwZfX1+rxpYTERGR/oQQKCwsRGhoKFxcqj+34nDFy7Vr1xAWFmbtbhAREZERrly5gsaNG1fbxuGKF9XPul+5cgUymczKvSEiIiJ9FBQUICwsTP09Xh2HK15UQ0UymYzFCxERkZ3RZ8oHJ+wSERGRXWHxQkRERHaFxQsRERHZFYeb86IPIQTu3bsHhUJh7a5QLbi5ucHV1dXa3SAiIgtzuuKltLQU2dnZuH37trW7QrUkSRIaN24MHx8fa3eFiIgsyKmKF6VSiaysLLi6uiI0NBTu7u4MsrNTQgj89ddf+PPPP9GqVSuegSEiciJOVbyUlpZCqVQiLCwM3t7e1u4O1VJAQAAuXryIsrIyFi9ERE7EKSfs1hQ7TPaBZ82IiJyTU515ISIiIuMplAIZWfnIK7yLQF9PRIb7w9XF8v+QZPFCRERENUo7lY3kjZnIlt9VLwvx80TS4HaIiwixaF/MOn6ydOlSdOzYUR3VHxUVhc2bN1e7zXfffYc2bdrA09MTHTp0wKZNm8zZRbJBO3fuhCRJuHXrlrW7QkREKC9cJnx1RKNwAYAc+V1M+OoI0k5lW7Q/Zi1eGjdujPnz5+Pw4cM4dOgQHn/8cTz11FM4ffq01vb79u3DyJEjMXr0aBw9ehRDhgzBkCFDcOrUKXN2k0yABQcRkWNSKAWSN2ZCaFmnWpa8MRMKpbYW5mHW4mXw4MEYOHAgWrVqhYceeghvvfUWfHx8sH//fq3tP/jgA8TFxWH69Olo27Yt5s2bh65du2Lx4sU6n6OkpAQFBQUaN0tQKAXSL9zA+mNXkX7hhkUPGhERkaVkZOVXOeNSkQCQLb+LjKx8i/XJYpfdKBQKrFmzBsXFxYiKitLaJj09HTExMRrLYmNjkZ6ervNxU1JS4Ofnp76FhYWZtN/apJ3KxqMLtmPkZ/sxZc0xjPxsPx5dsN2sp82USiVSUlIQHh4OLy8vdOrUCWvXroUQAjExMYiNjYUQ5QVUfn4+GjdujDlz5gB4cFbk559/RseOHeHp6YmePXtWOaO1Z88e9O7dG15eXggLC8PkyZNRXFysXl9SUoKZM2ciLCwMHh4eaNmyJb744gtcvHgRffv2BQDUr18fkiRh1KhR1fa7ok2bNuGhhx6Cl5cX+vbti4sXL5rpVSQiIkPlFeouXIxpZwpmL15OnjwJHx8feHh4YPz48fjxxx/Rrl07rW1zcnIQFBSksSwoKAg5OTk6Hz8xMRFyuVx9u3Llikn7X5m1xv1SUlKwcuVKLFu2DKdPn8arr76K559/Hrt378aXX36JgwcP4sMPPwQAjB8/Ho0aNVIXLyrTp0/HwoULcfDgQQQEBGDw4MEoKysDAFy4cAFxcXEYNmwYTpw4gW+++QZ79uzBpEmT1NvHx8fj66+/xocffogzZ87gk08+gY+PD8LCwvD9998DAM6dO4fs7Gx88MEH1fZ7165dAIArV65g6NChGDx4MI4dO4YxY8Zg1qxZZnkNiYjIcIG+niZtZwpmv9qodevWOHbsGORyOdauXYuEhATs2rVLZwFjKA8PD3h4eJjksWpS07ifhPJxvyfaBZv00rGSkhK8/fbb2LZtm/qsVfPmzbFnzx588sknWL16NT755BPEx8cjJycHmzZtwtGjR1GnjubhTUpKwhNPPAEA+PLLL9G4cWP8+OOPeOaZZ5CSkoLnnnsOU6dOBQC0atUKH374IaKjo7F06VJcvnwZ3377LbZu3ao+O9a8eXP1Y/v7+wMAAgMDUa9ePb36rXrsFi1aYOHChQDK3y8nT57EggULTPb6ERGR8SLD/RHi54kc+V2t338SgGC/8sumLcXsxYu7uztatmwJAOjWrRsOHjyIDz74AJ988kmVtsHBwcjNzdVYlpubi+DgYHN3Uy+GjPtFtWhgsuc9f/48bt++rS48VEpLS9GlSxcAwNNPP40ff/wR8+fPx9KlS9GqVasqj1NxuM7f3x+tW7fGmTNnAADHjx/HiRMnsGrVqgf7I4T6JxVOnjwJV1dXREdHm7TfZ86cQY8ePXT2k4iIrMvVRULS4HaY8NURSIBGAaP6Z3rS4HYWzXuxeM6LUqlESUmJ1nVRUVH49ddf1f/6B4CtW7fazJeZtcb9ioqKAAA///wzGjVqpLFOddbp9u3bOHz4MFxdXfH7778b9Rzjxo3D5MmTq6xr0qQJzp8/b5Z+ExGR7YuLCMHS57tWyXkJtlLOi1mLl8TERAwYMABNmjRBYWEhVq9ejZ07d2LLli0AyudQNGrUCCkpKQCAKVOmIDo6GgsXLsSgQYOwZs0aHDp0CJ9++qk5u6k3a437tWvXDh4eHrh8+bLOMx+vvfYaXFxcsHnzZgwcOBCDBg3C448/rtFm//79aNKkCQDg5s2b+O2339C2bVsAQNeuXZGZmak+S1ZZhw4doFQqsWvXriqTqoHyM2xA+cRsQ/rdtm1bbNiwoUo/iYjItsRFhOCJNgE4e2AL7ty8Cq/6jdCmRzRc61g+79asz5iXl4f4+HhkZ2fDz88PHTt2xJYtW9TDCJcvX9b4naFevXph9erVeOONN/D666+jVatWWLduHSIiIszZTb1Za9zP19cX//rXv/Dqq69CqVTi0UcfhVwux969eyGTydCwYUMsX74c6enp6Nq1K6ZPn46EhAScOHEC9evXVz/O3Llz0aBBAwQFBeH//u//0LBhQwwZMgQAMHPmTPTs2ROTJk3CmDFjULduXWRmZmLr1q1YvHgxmjVrhoSEBLz44ov48MMP0alTJ1y6dAl5eXl45pln0LRpU0iShJ9++gkDBw6El5dXjf1OSEjA+PHjsXDhQkyfPh1jxozB4cOHkZqaatLXj4iINBkV85+5Aa5pM9G+4NqDZQdCgbgFQLsnzdvhyoSDkcvlAoCQy+VV1t25c0dkZmaKO3fuGP34m09eE81m/iSazfxJNK1wUy3bfPJabbqvk1KpFIsWLRKtW7cWbm5uIiAgQMTGxoqdO3eKoKAg8fbbb6vblpaWim7duolnnnlGCCHEjh07BACxceNG0b59e+Hu7i4iIyPF8ePHNZ4jIyNDPPHEE8LHx0fUrVtXdOzYUbz11lvq9Xfu3BGvvvqqCAkJEe7u7qJly5Zi+fLl6vVz584VwcHBQpIkkZCQUG2/d+3apd5u48aNomXLlsLDw0P07t1bLF++XAAQN2/erPY1McXxJCJyNptPXhM9396m8R3W8+1t1X9/nV4vRJKfEEmySje/8tvp9bXuV3Xf35VJQgiHSlcrKCiAn58f5HI5ZDKZxrq7d+8iKysL4eHh8PQ0fmjHln7fQR87d+5E3759cfPmTfWVQI7AVMeTiMhZqOI+Kn/xq865LH2+a9XvMaUCWBQBVDzjUnlrWSgw9STg4mp036r7/q6MP8xohLiIEDzRLtgmflmTiIhIH0bHfVzaV03hcn/rgqvl7cJ7m7bTOrB4MZKri2TSy6GJiIjMyei4j6Jcndto0LedCbB4cQJ9+vSBg40OEhGRgYyO+/AJ0t6wMn3bmYDFftuIiIiIrMfouI+mvcrntEDX1AgJkDUqb2chLF6IiIicgCruo5oSBCHa4j5cXMsvh1a3qrwVgLj5tZqsaygWL0RERE5AFfMP6CxBdMf8t3sSeGYlIKt0JZIstHy5hXNeOOeFiIjISahi/udtOImwouMIxC3koR6u+HTC7Cc7VB/30e5JoM2g8quKinLL57g07WXRMy4qLF6IiIjslDFJuXEuBxHrORNS6YPLn4VnKCSXBQBqOIPi4mqxy6Grw+KFiIjIDhkVmJq5Afg2HlKltBepIBv4Nt4qQ0DG4JwXqqJZs2ZYtGiR+r4kSVi3bp3F+/Hmm2+ic+fOFn9eIiJbp0rKrZzbkiO/iwlfHUHaqeyqGykVQNpMQGdMHYC0WeXtbByLF2MpFUDW/4CTa8v/awcH21jZ2dkYMGCAXm1ZcBARmVdNSblAeVKuQlmphSFJuTaOw0bGyNxQXr1WfBPIrPTLmjqUlpbC3d3dJI8VHBxskschIqLac6SkXGPxzIuh7o8XVqleVeOFmRvM8rR9+vTBpEmTMGnSJPj5+aFhw4aYPXu2Ojm3WbNmmDdvHuLj4yGTyfDSSy8BAPbs2YPevXvDy8sLYWFhmDx5MoqLi9WPm5eXh8GDB8PLywvh4eFYtWpVleeuPGz0559/YuTIkfD390fdunXRvXt3HDhwAKmpqUhOTsbx48chSRIkSUJqaioA4NatWxgzZgwCAgIgk8nw+OOP4/jx4xrPM3/+fAQFBcHX1xejR4/G3bv6pUESETkTR0rKNRaLF0NYebzwyy+/RJ06dZCRkYEPPvgA//nPf/D555+r17/33nvo1KkTjh49itmzZ+PChQuIi4vDsGHDcOLECXzzzTfYs2cPJk2apN5m1KhRuHLlCnbs2IG1a9diyZIlyMvL09mHoqIiREdH4+rVq9iwYQOOHz+OGTNmQKlUYvjw4XjttdfQvn17ZGdnIzs7G8OHDwcAPP3008jLy8PmzZtx+PBhdO3aFf369UN+fj4A4Ntvv8Wbb76Jt99+G4cOHUJISAiWLFlilteRiMieOVJSrrE4bGQIK/+yZlhYGN5//31IkoTWrVvj5MmTeP/99zF27FgAwOOPP47XXntN3X7MmDF47rnnMHXqVABAq1at8OGHHyI6OhpLly7F5cuXsXnzZmRkZODhhx8GAHzxxRdo27atzj6sXr0af/31Fw4ePAh///IUxpYtW6rX+/j4oE6dOhpDTXv27EFGRgby8vLg4eEBoLzQWrduHdauXYuXXnoJixYtwujRozF69GgAwL///W9s27aNZ1+IiCpRJeXmyO9q/ae0BCC4uqTcb+PvtxKVtoLFk3KNxTMvhrDyeGHPnj0hSQ8q5qioKPz+++9QKMrP9HTv3l2j/fHjx5GamgofHx/1LTY2FkqlEllZWThz5gzq1KmDbt26qbdp06YN6tWrp7MPx44dQ5cuXdSFiz6OHz+OoqIiNGjQQKMvWVlZuHDhAgDgzJkz6NGjh8Z2UVFRej8HEZGzqJiU6wolerpk4kmXfejpkglXKAHYT1KusXjmxRA2Pl5Yt25djftFRUUYN24cJk+eXKVtkyZN8Ntvvxn8HF5eXgZvU1RUhJCQEOzcubPKuuoKJSIi0i4uIgQ/9L2O0PRkBOGGenkuGuBaVBK62ElSrrFYvBhCNV5YkA3t816k8vVmGi88cOCAxv39+/ejVatWcHXV/obr2rUrMjMzNYZ1KmrTpg3u3buHw4cPq4eNzp07h1u3bunsQ8eOHfH5558jPz9f69kXd3d39Zmgiv3IyclBnTp10KxZM62P27ZtWxw4cADx8fEa+0dERFpkbkCX9CkQlb6LApGPoPQpQFj96s+i2EhSrrE4bGQIK/+y5uXLlzFt2jScO3cOX3/9NT766CNMmTJFZ/uZM2di3759mDRpEo4dO4bff/8d69evV0/Ybd26NeLi4jBu3DgcOHAAhw8fxpgxY6o9uzJy5EgEBwdjyJAh2Lt3L/744w98//33SE9PB1B+1VNWVhaOHTuG69evo6SkBDExMYiKisKQIUPwyy+/4OLFi9i3bx/+7//+D4cOHQIATJkyBcuXL8eKFSvw22+/ISkpCadPnzbhq0dEZLsUSoH0Czew/thVpF+4UTWjpaIKF49U/Sayr7A5Y7F4MZQVxwvj4+Nx584dREZGYuLEiZgyZYr6kmhtOnbsiF27duG3335D79690aVLF8yZMwehoaHqNitWrEBoaCiio6MxdOhQvPTSSwgMDNT5mO7u7vjll18QGBiIgQMHokOHDpg/f7767M+wYcMQFxeHvn37IiAgAF9//TUkScKmTZvw2GOP4YUXXsBDDz2EESNG4NKlSwgKKh9iGz58OGbPno0ZM2agW7duuHTpEiZMmGCiV46IyHalncrGowu2Y+Rn+zFlzTGM/Gw/Hl2wXXtKLuBQYXPGkoQqKMRBFBQUwM/PD3K5HDKZTGPd3bt3kZWVhfDwcHh66nepmU5KhUXHC/v06YPOnTtrxPY7O5MeTyIiK1DF/Ff+IladUVn6fNeqv1N0ci3w/eiaH3zYF0CHf5iimxZR3fd3ZZzzYiw7Hy8kIiLrqinmX0J5zP8T7YI1rxyy8YtHLIHDRkRERFZgSMy/BgcKmzMWz7zYCW2XGRMRkf0yOubfgcLmjMUzL0RERFZgdMw/4DBhc8ZyyjMvDjZH2WnxOBKRPasY8y9BiUiXswjELeShHjKUbSDgoj3mX8UBwuaM5VTFi5ubGwDg9u3bRiXFkm0pLS0FAJ0hfUREtkwV879u9TLMcVuJUOnB3JZrwh9zy+IxZPB47TH/Kk568YhTFS+urq6oV6+e+leTvb29NX4riOyHUqnEX3/9BW9vb9Sp41RvYyJyIHEuBxHr/kGVpNxgKR9L3T+A5NINgGMPARnD6T71Vb92rCpgyH65uLigSZMmLECJyCYolAIZWfnIK7yLQN/y4Z5qz5rcT8qVtCTlqiekps0qHxpygqEgQzhd8SJJEkJCQhAYGIiysjJrd4dqwd3dHS4unHNORNaXdiobyRszNS59DvHzRNLgdlVD5lQMScp1wqGh6pi1eElJScEPP/yAs2fPwsvLC7169cKCBQvQunVrndukpqbihRde0Fjm4eGBu3f1u6RMX66urpwrQUREtaYrJTdHfhcTvjqiPSUXKJ9kqw992zkRs/6zddeuXZg4cSL279+PrVu3oqysDP3790dxcXG128lkMmRnZ6tvly5dMmc3iYiIjFJTSi5QnpKr9YcWmZRrNLOeeUlLS9O4n5qaisDAQBw+fBiPPfaYzu0kSVLPTalJSUkJSkpK1PcLCgqM6ywREZGBDEnJjWrRQHOlKim3IBvQWv5I5esdOCnXWBadMCCXywEA/v46rlm/r6ioCE2bNkVYWBieeuopnD59WmfblJQU+Pn5qW9hYWEm7TMREZEuRqfkAg+ScgFUjfp3jqRcY1mseFEqlZg6dSoeeeQRRERE6GzXunVrLF++HOvXr8dXX30FpVKJXr164c8//9TaPjExEXK5XH27cuWKuXaBiIhIQ61ScgGnT8o1liQsFFM6YcIEbN68GXv27EHjxo313q6srAxt27bFyJEjMW/evBrbG/KT2kRERLWhUAo8umB7jSm5e2Y+XvNl006YlFuRId/fFrlUetKkSfjpp5+we/dugwoXoDwVt0uXLjh//ryZekdERGQck6TkAk6blGsssw4bCSEwadIk/Pjjj9i+fTvCw8MNfgyFQoGTJ08iJETHdfJERERWFOdyEEvdP0BwhcIFeJCSG+dy0Eo9c1xmLV4mTpyIr776CqtXr4avry9ycnKQk5ODO3fuqNvEx8cjMTFRfX/u3Ln45Zdf8Mcff+DIkSN4/vnncenSJYwZM8acXSUiIjJchZTcyl+oLrg/7TZtVnk7MhmzDhstXboUANCnTx+N5StWrMCoUaMAAJcvX9ZISb158ybGjh2LnJwc1K9fH926dcO+ffvQrl07c3aViIgIgIEx/0zJtQqzFi/6zAXeuXOnxv33338f77//vpl6REREpJvBMf9MybUK/jAMERERHsT8Vw6dU8X8p53KrroRU3KtgsULERE5PaNj/lUpuVVC5lQkQNaIKbkmxuKFiIicniEx/xqYkmsVLF6IiMjp1Srmnym5FmeRkDoiIiJbVjG+30VLUq7y/r/1q435bzPI6VNyLYXFCxEROb3IcH+E+HmiU+FunUm5x30fQ2R4NT8szJRci2HxQkRETs/VRcKSrn+i075FVdYFIx9L3BbheNfmNcf8k0VwzgsREZFSgS6n50OSgMr1iYsESJKELqcXMCnXRrB4ISIih6RQCqRfuIH1x64i/cKNqpc5V3Q/KVf3Bc8VknLJ6jhsREREDodJuY6NZ16IiMihMCnX8bF4ISIih8GkXOfA4oWIiBwGk3KdA4sXIiJyGEzKdQ6csEtERA6DSbnOgcULERE5DCblOgcWL0RE5DCYlOscOOeFiIgcB5NynQKLFyIichxMynUKHDYiIiKbplAKZGTlI6/wLgJ9PREZ7q972IdJuU6BxQsREdksg2P+mZTrFDhsRERENsmomH8m5ToFFi9ERGRzjI75Z1KuU2DxQkRENsfomH+ASblOgHNeiIjI5lSM768uKVfnzwEwKdehsXghIiKbo4rvj3XJQJKWpNzksnhsUUbqjvkHmJTrwDhsRERENicy3B8jfI5hqdsiBENzaCgY+VjqtggjfI5VH/NPDovFCxER2RxXKJHkthKA9qRcAEhyWwlXKC3cM7IFLF6IiMj2XNoHrzs5VQoXFRcJ8LqTw6RcJ8U5L0REZBFMyiVTYfFCRERmx6RcMiWzDhulpKTg4Ycfhq+vLwIDAzFkyBCcO3euxu2+++47tGnTBp6enujQoQM2bdpkzm4SEZEZMSmXTM2sxcuuXbswceJE7N+/H1u3bkVZWRn69++P4uJindvs27cPI0eOxOjRo3H06FEMGTIEQ4YMwalTp8zZVSIiMgMm5ZI5SEIIbe8ps/jrr78QGBiIXbt24bHHHtPaZvjw4SguLsZPP/2kXtazZ0907twZy5Ytq9K+pKQEJSUl6vsFBQUICwuDXC6HTCYz/U4QEZHe0i/cwMjP9tfY7uuxPRHVokHVFZkbgLSZQMG1B8tkjcoLFyblOpSCggL4+fnp9f1t0TkvcrkcAODvr/u6/PT0dEybNk1jWWxsLNatW6e1fUpKCpKTk03WRyIiMh0m5ZI5WKx4USqVmDp1Kh555BFERETobJeTk4OgIM0JWEFBQcjJydHaPjExUaPYUZ15ISIi62NSLpmDxYqXiRMn4tSpU9izZ49JH9fDwwMeHh4mfUwiIjINVVLu22WLqqxTJeW+7jYDkeEDLd85slsWCambNGkSfvrpJ+zYsQONGzeutm1wcDByczWv28/NzUVwcLA5u0hERGbApFwyB7MWL0IITJo0CT/++CO2b9+O8PDwGreJiorCr7/+qrFs69atiIqKMlc3iYjIXJiUS2Zg1mGjiRMnYvXq1Vi/fj18fX3V81b8/Pzg5eUFAIiPj0ejRo2QkpICAJgyZQqio6OxcOFCDBo0CGvWrMGhQ4fw6aefmrOrRERkDkzKJTMw65mXpUuXQi6Xo0+fPggJCVHfvvnmG3Wby5cvIzv7QUBRr169sHr1anz66afo1KkT1q5di3Xr1lU7yZeIiCxHoRRIv3AD649dRfqFG1UzWipiUi6ZgUVzXizBkOvEiYjIMAbH/CsVwKIIoCAb0BpVJ5Un6U49ycufnZwh39/8VWkiItKLUTH/TMolM2DxQkRENaoY8+8CJXq6ZOJJl33o6ZIJ6f6VQlpj/oHyoLlnVgKySmdmZKHly5mUSwbir0oTEVGNMrLykS2/W33YnDwSGVn52mP+mZRLJsTihYiIapRXWF64LHVbVGWdKmxuQtlU5BV21v0gTMolE+GwERER1SiwrpseYXP/RWBdNwv3jJwRz7wQEVGNIl3PwrXCUFFlLhIQihsIcj0LINByHSOnxDMvRERUI9fiPJO2I6oNFi9ERFQzhs2RDeGwERGRk1IoBTKy8pFXeBeBvp6IDPeHq64fIWraq/zS5prC5pr2MmeXiQCweCEickoGJ+Wqwua+jUd5uFzFAoZhc2RZHDYiInIyRiXlAgybI5vBMy9ERE6kclJupMtZBOIW8lAPGco2EHBB8sZMPNEuWPsQEsPmyAaweCEiciK1TsoFGDZHVsdhIyIiJ1IxKTcYmrktqqTcWJcM5BXe1fEIRNbH4oWIyIkwKZccAYeNiIicCJNyyRHwzAsRkRNhUi45AhYvRETOhEm55ABYvBARORNVUi50JOlCAmSNmJRLNo3FCxGRnVMoBdIv3MD6Y1eRfuEGFEpt8f33qZJyAVQtYJiUS/aBE3aJiOyYwTH/wIOk3LSZQMG1B8tloeWFC5NyycZJQohqSnT7U1BQAD8/P8jlcshkMmt3h4jIbFQx/1KlpNyDyjZQwgVLn++qu4ABAKWCSblkMwz5/uaZFyIiO6SK+e+vIyl3blk8kjd66o75B5iUS3aLc16IiOxQRlY+Ohbu1pmUu8RtEToW7kZGlu5MFyJ7xeKFiMgO5RUU65WUm1dQbOGeEZkfixciIjvU8vZJhEr5VQoXFRcJCJVuoOXtk5btGJEFsHghIrJDbX1vm7QdkT1h8UJEZIdcfINN2o7InrB4ISKyR/eTcoWOpFzBpFxyYCxeiIhshDFJuRJQpYARkMqXMCmXHBRzXoiIbEBtknKlSkm5EpNyycGZ9czL7t27MXjwYISGhkKSJKxbt67a9jt37oQkSVVuOTk55uwmEZFVqZJyc+W30dMlE0+67ENPl0zkyW9jwldHkHYqW/fG7Z4Epp4CEn4Chn1R/t+pJ1m4kEMz65mX4uJidOrUCS+++CKGDh2q93bnzp3TiAYODAw0R/eIiKyOSblEhjNr8TJgwAAMGDDA4O0CAwNRr149vdqWlJSgpKREfb+goMDg5yMispaKSbmVqZJyJxQCGVmdEdWigeU7SGSDbHLCbufOnRESEoInnngCe/furbZtSkoK/Pz81LewsDAL9ZKIqPaYlEtkOJsqXkJCQrBs2TJ8//33+P777xEWFoY+ffrgyJEjOrdJTEyEXC5X365cuWLBHhMR1Q6TcokMZ1NXG7Vu3RqtW7dW3+/VqxcuXLiA999/H//973+1buPh4QEPDw9LdZGIyKSYlEtkOJs686JNZGQkzp8/b+1uEBGZBZNyiQxn88XLsWPHEBKiI+OAiMjeMSmXyGBmHTYqKirSOGuSlZWFY8eOwd/fH02aNEFiYiKuXr2KlSvLJ6stWrQI4eHhaN++Pe7evYvPP/8c27dvxy+//GLObhIRWY8qKffb+PvJuA9SdZmUS6SdWYuXQ4cOoW/fvur706ZNAwAkJCQgNTUV2dnZuHz5snp9aWkpXnvtNVy9ehXe3t7o2LEjtm3bpvEYRES2TqEUyMjKR17hXQT6eiIy3F93RgvApFwiA0lCiGp+PMP+FBQUwM/PD3K5XCPojojIEtJOZWPehpMIKzqOQNxCHurhik8nzH6yg+6YfxWlAri0DyjKBXyCyoeKeMaFnIQh3982dbUREZE9SzuVjXWrl+E7t5UIda+QlFvij7mr44Fnx1dfwDApl0gvNj9hl4jIHiiUAjvXLccSt0UIRr7GOlVS7s51y6v/pWgi0guLFyIiE8i48Bcml30OQHdS7uSyL5Bx4S8L94zI8bB4ISIyAcXFvXol5SouVv+TJ0RUMxYvREQmECjdMmk7ItKNxQsRkQm0aN7CpO2ISDcWL0REJuDa7BHc8QqGrvm4SgHc8QqGa7NHLNsxIgfE4oWIyBRcXOE1+F1IkgRlpVVKAJIkwWvwu8xtITIBFi9ERDoolALpF25g/bGrSL9wo+bLnNs9CemZleXJuBVIskaQnlnJpFwiE2FIHRGRFkYn5bZ7ElKbQRpJuRKTcolMisULEVElTMolsm0cNiIiqoBJuUS2j8ULEVEFTMolsn0sXoiIKmBSLpHtY/FCRFQBk3KJbB+LFyKiCpiUS2T7WLwQEVXApFwi28fihYioIiblEtk8Fi9ERJUxKZfIpjGkjogcmuLePZw9sAV3bl6FV/1GaNMjFq519PjoY1Iukc1i8UJEDuvoli8Rmp6M9rihXpa7tQGuRSWhS2xCzQ/ApFwim8TihYgc0tEtX6LTvsnldypktgSIGwjYNxlHAf0KGCKyOZzzQkQOR3HvHkLTkwHoTskNSU+G4t49C/eMiEyBxQsROZyzB7YgCDeqTckNxg2cPbDFsh0jIpNg8UJEDufOzasmbUdEtoXFCxE5HK/6jUzajohsC4sXInI4bXrEIhcNqk3JzUEDtOkRa9mOEZFJsHghIofjWqcOrkUlAUCVAkZ1PzsqSb+8FyKyOfzLJSL7oFRoBMahhsC4LrEJOAogND0ZQRVyXvKkBsjWN+eFiGySJITQcWLVPhUUFMDPzw9yuRwymcza3SEiU8jcAJE2E1LBNfUiIQuFFLegxqh+oxN2iciiDPn+ZvFCRLYtcwPEt/EQEBrj3EoAEiT+1hCRgzDk+9usc152796NwYMHIzQ0FJIkYd26dTVus3PnTnTt2hUeHh5o2bIlUlNTzdlFIrJlSgXubJwOIUSVDysXAEII3Nk4vXxIiYichlmLl+LiYnTq1Akff/yxXu2zsrIwaNAg9O3bF8eOHcPUqVMxZswYbNnCICkiZ6S4uBded3KqDZvzupMDxcW9lu0YEVmVWQd+BwwYgAEDBujdftmyZQgPD8fChQsBAG3btsWePXvw/vvvIzZW+yWNJSUlKCkpUd8vKCioXaeJyGZc+OMCHtK3XfPHzN4fIrINNnWpdHp6OmJiYjSWxcbGIj09Xec2KSkp8PPzU9/CwsLM3U0ispA8Uc+k7YjIMdhU8ZKTk4OgoCCNZUFBQSgoKMCdO3e0bpOYmAi5XK6+XblyxRJdJSILcG32CK4J/2rD5q6JBnBt9ohlO0ZEVmVTxYsxPDw8IJPJNG5E5BgiWwTgQ7cxAHSHzX3oNhqRLQIs3DMisiabKl6Cg4ORm5ursSw3NxcymQxeXl5W6hURWYuri4Q+Q17Ey2VTkQN/jXU5aICXy6aiz5AX4aprRi8ROSSbSmqKiorCpk2bNJZt3boVUVFRVuoREZmcgUm5cREhwLPj8fSGRxBWdByBuIU81MMVn06Y/XSH8vVE5FTMWrwUFRXh/Pnz6vtZWVk4duwY/P390aRJEyQmJuLq1atYuXIlAGD8+PFYvHgxZsyYgRdffBHbt2/Ht99+i59//tmc3SQiS8ncAKTNBCok5UIWCtSQlBsXEYIn2gUjI6sb8grvItDXE5Hh/jzjQuSkzJqwu3PnTvTt27fK8oSEBKSmpmLUqFG4ePEidu7cqbHNq6++iszMTDRu3BizZ8/GqFGj9H5OJuwS2ajMDcD9pNyKJYeAVH6fSblETo0/D8Dihci2KBXAogiIgmvQdq5EQIIkCwWmnqx2CImIHJfN/DwAERGA8jkuOgoXAJAggIKr5e2IiGrA4oWIzE5ZmGPSdkTk3Fi8EJHZnSn0Nmk7InJuLF6IyOzOe3fQKyn3vHcHy3aMiOwSixciMrtAWV0kl8UD0J2Um1z2TwTK6lq4Z0Rkj1i8EJHZRYb744TvY9Um5Z7wfQyR4f46HoGI6AGbStglIjtiQFKuq4uEpMHtMOGru9ha0h0Pu5xVJ+UeVLaBEi5YOrgdQ+eISC8sXojIcEYk5cZFhGDp812RvDET++Xt1MtD/DyRNLgdY/6JSG8MqSMiw9QyKVehFMjIymfMPxFpMOT7m2deiEh/SgWQNrNK4QKUB80JSJDSZgFtBlU7hBTVooH5+0pEDosTdolIf0zKJSIbwOKFiPTGpFwisgUsXohIb0zKJSJbwOKFiPTGpFwisgUsXohIb0zKJSJbwOKFiPTGpFwisgW8VJrI2TEpl4jsDIsXImfGpFwiskNM2CVyVveTcoHKHwH3z5owKZeILIgJu0RUvftJuVULF9xfJgFMyiUiG8UJu0TO6H5Srm5MyiUi28XihcgZFeWath0RkQWxeCFyQoq6gSZtR0RkSSxeiJxQhqKNXkm5GYo2lu0YEZEeWLwQOaG84jK9knLzisss3DMiopqxeCFyQoG+ntiijMQEHUm5E8qmYosyEoG+nlbqIRGRbrxUmshRGJCUGxnujxA/T/wij8TWku6IrJCUm6FsAwEXhPh5MuafiGwSixciR2BgUu6DmP8jEHDBfuWDpFxVzFwSY/6JyEZx2IjI3qmScivnthRkly/P3KB1M1XMf7Cf5tBQsJ8nlj7flTH/RGSz+PMARPZMqQAWRVQTOCeVn4GZelLnEBJj/onIFvDnAYichSFJueG9tbZgzD8R2RuLDBt9/PHHaNasGTw9PdGjRw9kZGTobJuamgpJkjRunp684oFIKyblEpETMnvx8s0332DatGlISkrCkSNH0KlTJ8TGxiIvL0/nNjKZDNnZ2erbpUuXzN1NIrvEpFwickZmL17+85//YOzYsXjhhRfQrl07LFu2DN7e3li+fLnObSRJQnBwsPoWFBSks21JSQkKCgo0bkTOgkm5ROSMzFq8lJaW4vDhw4iJiXnwhC4uiImJQXp6us7tioqK0LRpU4SFheGpp57C6dOndbZNSUmBn5+f+hYWFmbSfSCyZUzKJSJnZNbi5fr161AoFFXOnAQFBSEnJ0frNq1bt8by5cuxfv16fPXVV1AqlejVqxf+/PNPre0TExMhl8vVtytXrph8P4hsFZNyicgZ2dzVRlFRUYiKilLf79WrF9q2bYtPPvkE8+bNq9Lew8MDHh4eluwikXkxKZeIqFpmLV4aNmwIV1dX5OZqXumQm5uL4OBgvR7Dzc0NXbp0wfnz583RRSLbwqRcIqIamXXYyN3dHd26dcOvv/6qXqZUKvHrr79qnF2pjkKhwMmTJxESwrRPcnBMyiUi0ovZh42mTZuGhIQEdO/eHZGRkVi0aBGKi4vxwgsvAADi4+PRqFEjpKSkAADmzp2Lnj17omXLlrh16xbeffddXLp0CWPGjDF3V4msR6koP+MCbZcNCQASkDYLaDNI6xBSXEQInmgXzKRcInIKZi9ehg8fjr/++gtz5sxBTk4OOnfujLS0NPUk3suXL8PF5cEJoJs3b2Ls2LHIyclB/fr10a1bN+zbtw/t2rXT9RRE9o9JuUREeuNvGxHZgpNrge9H19xu2BdAh3+Yvz9ERBZmyPc3f1WayBb46A5iNKodEZEDY/FCZAMUYVHIRYNqk3Jz0ACKMP0muhMROTIWL0Q2IOOSHHNK/wlAd1JuUuk/kXFJbuGeERHZHhYvROaiVABZ/yufz5L1v/L7OuQV3tUrKTev8K65e01EZPNsLmGXyCEYGDaniu/fotSelKu8/+8MxvwTEbF4ITI9Vdhc5cwWVdjcMyurFDCqmP8c+V0oKyXlAuVpucGM+SciAsBhIyLTqjFsDuVhc5WGkFQx/8CDWH8VxvwTEWli8UJkSoaEzVXCmH8iIv1w2IjIlIpya25TTTvG/BMR1YzFC5EpmSBsjjH/RETV47ARkSk17YU7XsHVhs3d8QoGmvaybL+IiBwIixciE1LABcll8QB0h80ll8VDwT89IiKj8ROUyIQysvKxpqhztWFza4o6IyMr30o9JCKyf5zzQlQTpaL86qCi3PK5Kk17AS6uWpuqEnBrCptjUi4RkfFYvBBVx8ikXABaw+a0tSMiIsNw2IhIF1VSbuXcFlVSbuaGKpuoknJ1XdgsAQhhUi4RUa2weCHShkm5REQ2i8ULkTZMyiUislmc80KkDZNyiYhsFosXIm2YlEtEZLM4bESkTdNegCwUQsfUWwEJkDViUi4RkRWweCHSxsUVR9vPghBCa1KuEAJH28/UmfdCRETmw+KFSAuFUuDlI411JuW+XDYVLx9pDIWuHzEiIiKz4ZwXch4GJOVmZOUjW34X2agmKVd+FxlZ+ZzXQkRkYSxeyDkYmJRbMb6/uqRcxvwTEVkeh43I8RmRlKtvfD9j/omILI/FCzk2I5NyGfNPRGS7WLyQYzMyKZcx/0REtovFCzm2WiTlMuafiMg2ccIuObZaJuUy5p+IyPaweCHHpkrKLciGpGXei4AESRZabVIuY/6JiGyLRYaNPv74YzRr1gyenp7o0aMHMjIyqm3/3XffoU2bNvD09ESHDh2wadMmS3STHBGTcomIHI7Zi5dvvvkG06ZNQ1JSEo4cOYJOnTohNjYWeXl5Wtvv27cPI0eOxOjRo3H06FEMGTIEQ4YMwalTp8zdVXJATMolInI8khDCrJ/aPXr0wMMPP4zFixcDAJRKJcLCwvDKK69g1qxZVdoPHz4cxcXF+Omnn9TLevbsic6dO2PZsmVV2peUlKCkpER9v6CgAGFhYZDL5ZDJZGbYI7I6A5Jy0y/cwMjP9gMAXKDUnpQL4OuxPTk0RERkRQUFBfDz89Pr+9usc15KS0tx+PBhJCYmqpe5uLggJiYG6enpWrdJT0/HtGnTNJbFxsZi3bp1WtunpKQgOTnZZH0mG8ekXCIip2fWYaPr169DoVAgKEjzSo6goCDk5ORo3SYnJ8eg9omJiZDL5erblStXTNN5sj1MyiUiIjhAzouHhwdkMpnGjRwQk3KJiOg+sxYvDRs2hKurK3JzNQPAcnNzERwcrHWb4OBgg9qTk2BSLhER3WfW4sXd3R3dunXDr7/+ql6mVCrx66+/IioqSus2UVFRGu0BYOvWrTrbk5NgUi4REd1n9pC6adOmISEhAd27d0dkZCQWLVqE4uJivPDCCwCA+Ph4NGrUCCkpKQCAKVOmIDo6GgsXLsSgQYOwZs0aHDp0CJ9++qm5u0q2jEm5RER0n9mLl+HDh+Ovv/7CnDlzkJOTg86dOyMtLU09Kffy5ctwcXlwAqhXr15YvXo13njjDbz++uto1aoV1q1bh4iICHN3lWzZ/aRcFGRD+7wXqXw9k3KJiBye2XNeLM2Q68TJzmRugPg2HgJCY7xTCUCCBOmZlVovlyYiIttnyPe33V9tRM4jTfkwJpROQY6olJQrGmBC6RSkKR+2Us+IiMiS+MOMZB0GpOQC5TH/yRszka2MxC8l3ask5Qq44PjGTDzRLpjzWIiIHByLF7I8A1NyASAjKx/Z8vIUXF1Judnyu8jIyue8FiIiB8dhI7IsI1JyAf3j+xnzT0Tk+Fi8kOUYmZILMOafiIgeYPFClmNkSi7AmH8iInqAxQtZTi1SchnzT0REKixeyHJMkJLLmH8iIuLVRmQ5JkjJZcw/ERGxeCHLcXEF4hbcT8mFlpRcQIqbX23eC8CYfyIiZ8dhI7IopuQSEVFt8cwL1Y4BSblMySUiIlNg8ULGMzAplym5RERkChw2IuMYkZTLlFwiIjIFFi9kOCOTcpmSS0REpsDihQxnZFIuU3KJiMgUWLyQ4YxMymVKLhERmQKLFzJcLZJymZJLRES1xauNyHC1TMplSi4REdUGixcy3P2kXHwbDwEJUoUCpvw+gBqScpmSS0RExuKwERmn3ZM4GvUB8qA5uTYX/jga9YHWnBciIiJT4JkXKmdAUi4ApJ3KxoQdDSHhA42k3IPKNlDucMHSRtmcv0JERGbB4oUMTspVxfwLAEJLUq4EIJkx/0REZCYcNnJ2RiTlVoz510bgQcw/ERGRqbF4cWZGJuUy5p+IiKyJxYszMzIplzH/RERkTSxenJmRSbmM+SciImti8eLMjEzKZcw/ERFZE4sXZ6ZKyq3uHIqskdakXMb8ExGRtfBSaWdWy6RcxvwTEZE1sHhxNAaGzamSckPTkxGEG+rFufBHdlQSutSQlMuYfyIisjSzDhvl5+fjueeeg0wmQ7169TB69GgUFRVVu02fPn0gSZLGbfz48ebspuPI3AAsigC+/Bvw/ejy/y6K0JrVopJ2KhtDdzRE1N0PMKL0DUwunYQRpW/gkbsfYOiOhkg7lW3BHSAiIqqZJITQFvJhEgMGDEB2djY++eQTlJWV4YUXXsDDDz+M1atX69ymT58+eOihhzB37lz1Mm9vb8hkMr2es6CgAH5+fpDL5Xpv4xBUYXNVMlvuD+E8s7JKWq5CKfDogu06A+cklM9h2TPzcQ4FERGRWRny/W22YaMzZ84gLS0NBw8eRPfu3QEAH330EQYOHIj33nsPoaGhOrf19vZGcHCwXs9TUlKCkpIS9f2CgoLaddwe1Rg2J5WHzbUZpDGEZEhSLoeGiIjIVpht2Cg9PR316tVTFy4AEBMTAxcXFxw4cKDabVetWoWGDRsiIiICiYmJuH37ts62KSkp8PPzU9/CwsJMtg92w8iwOSblEhGRPTLbmZecnBwEBgZqPlmdOvD390dOTo7O7Z599lk0bdoUoaGhOHHiBGbOnIlz587hhx9+0No+MTER06ZNU98vKChwvgLGyLA5JuUSEZE9Mrh4mTVrFhYsWFBtmzNnzhjdoZdeekn9/x06dEBISAj69euHCxcuoEWLFlXae3h4wMPDw+jncwhGhs2pknJz5He1Djip5rwwKZeIiGyJwcXLa6+9hlGjRlXbpnnz5ggODkZeXp7G8nv37iE/P1/v+SwA0KNHDwDA+fPntRYvhAdhcwXZ0D7vRSpfXylsTpWUO+GrI5AqbcmkXCIislUGFy8BAQEICAiosV1UVBRu3bqFw4cPo1u3bgCA7du3Q6lUqgsSfRw7dgwAEBLCxFadKoTNQVcZoiNsTpWUm7wxU2PybrCfJ5IGt2NSLhER2RyzXyqdm5uLZcuWqS+V7t69u/pS6atXr6Jfv35YuXIlIiMjceHCBaxevRoDBw5EgwYNcOLECbz66qto3Lgxdu3apddzOu2l0kD55dJpMzUn78oalRcuNYTNKZSCSblERGQ1NnGpNFB+1dCkSZPQr18/uLi4YNiwYfjwww/V68vKynDu3Dn11UTu7u7Ytm0bFi1ahOLiYoSFhWHYsGF44403zNlN22RoUi4AtHsSiocG4uyBLbhz8yq86jdCmx6xcK1T82FmUi4REdkLs555sQaHOPOi9QxKaPnQUDVnUNJOZVcZ/gnh8A8REdkBQ76/+avStkaVlFs5t6Ugu3y5jqj/tFPZmPDVkSqhcznyu5jw1RHG/BMRkcNg8WJLakzKRXlSrlKhsUahFEjemFndVkjemAmF0qFOshERkZNi8WJLjEzKNSTmn4iIyN6xeLElRiblMuafiIicCYsXW2JkUi5j/omIyJmweLElqqRc6MpXkcpzWyol5api/qvZCiGM+SciIgfB4sWWqJJyAVQtYHQn5api/qvZijH/RETkMFi82Jp2TwLPrARklXJZZKHly3XkvKhi/oP9NIeGgv08sfT5rsx5ISIih8GQOnMzJikXgOLePaOSchnzT0RE9shmfh7A6dU6KRcAGgEAQnbv0isplzH/RETk6DhsZC5MyiUiIjILFi/mwKRcIiIis2HxYg5MyiUiIjIbFi/mwKRcIiIis2HxYg5MyiUiIjIbFi/mwKRcIiIis2HxYg5MyiUiIjIbFi/mwqRcIiIis2DCrr6MTMo1OmGXSblEROREmLBrakYm5QKAAi7IULZDnqI5ApWeiIQL9Ch5mJRLRESkA4uXmqiScitHx6mScqsZAnoQ8//g0uYQP0+9Yv6JiIhIO855qY6RSbkAY/6JiIjMhcVLdYxMymXMPxERkfmweKmOkUm5jPknIiIyHxYv1TEyKZcx/0RERObD4qU6RiblMuafiIjIfFi8VMfIpFzG/BMREZkPi5eaGJGUy5h/IiIi82HCrr6MSMplzgsREZF+mLBrBsYk5cZFhOCJdsGM+SciIjIhFi96qM0ZFMb8ExERmZbZ5ry89dZb6NWrF7y9vVGvXj29thFCYM6cOQgJCYGXlxdiYmLw+++/m6uLemFSLhERkW0xW/FSWlqKp59+GhMmTNB7m3feeQcffvghli1bhgMHDqBu3bqIjY3F3bvWyUNhUi4REZHtMduwUXJyMgAgNTVVr/ZCCCxatAhvvPEGnnrqKQDAypUrERQUhHXr1mHEiBFatyspKUFJSYn6fkFBQe06XoEhSbkcGiIiIrIMm7lUOisrCzk5OYiJiVEv8/PzQ48ePZCenq5zu5SUFPj5+alvYWFhJusTk3KJiIhsj80ULzk5OQCAoCDNqP2goCD1Om0SExMhl8vVtytXrpisT0zKJSIisj0GFS+zZs2CJEnV3s6ePWuuvmrl4eEBmUymcTMVJuUSERHZHoPmvLz22msYNWpUtW2aN29uVEeCg4MBALm5uQgJeXD5cW5uLjp37mzUY9aWKil3wldHIAEaE3eZlEtERGQdBhUvAQEBCAgIMEtHwsPDERwcjF9//VVdrBQUFODAgQMGXbFkanERIVj6fNcqOS/BTMolIiKyCrNdbXT58mXk5+fj8uXLUCgUOHbsGACgZcuW8PHxAQC0adMGKSkp+Pvf/w5JkjB16lT8+9//RqtWrRAeHo7Zs2cjNDQUQ4YMMVc39cKkXCIiItthtuJlzpw5+PLLL9X3u3TpAgDYsWMH+vTpAwA4d+4c5HK5us2MGTNQXFyMl156Cbdu3cKjjz6KtLQ0eHpaf0Isk3KJiIhsA3+YkYiIiKzOkO9vm7lUmoiIiEgfLF6IiIjIrrB4ISIiIrvC4oWIiIjsCosXIiIisissXoiIiMiusHghIiIiu8LihYiIiOyK2RJ2rUWVuVdQUGDlnhAREZG+VN/b+mTnOlzxUlhYCAAICwuzck+IiIjIUIWFhfDz86u2jcP9PIBSqcS1a9fg6+sLSTLtDycWFBQgLCwMV65cccifHnD0/QMcfx+5f/bP0feR+2f/zLWPQggUFhYiNDQULi7Vz2pxuDMvLi4uaNy4sVmfQyaTOeybEnD8/QMcfx+5f/bP0feR+2f/zLGPNZ1xUeGEXSIiIrIrLF6IiIjIrrB4MYCHhweSkpLg4eFh7a6YhaPvH+D4+8j9s3+Ovo/cP/tnC/vocBN2iYiIyLHxzAsRERHZFRYvREREZFdYvBAREZFdYfFCREREdoXFCxEREdkVFi8VvPXWW+jVqxe8vb1Rr149vbYRQmDOnDkICQmBl5cXYmJi8Pvvv2u0yc/Px3PPPQeZTIZ69eph9OjRKCoqMsMe1MzQvly8eBGSJGm9fffdd+p22tavWbPGErukwZjXuk+fPlX6Pn78eI02ly9fxqBBg+Dt7Y3AwEBMnz4d9+7dM+euaGXo/uXn5+OVV15B69at4eXlhSZNmmDy5MmQy+Ua7ax5/D7++GM0a9YMnp6e6NGjBzIyMqpt/91336FNmzbw9PREhw4dsGnTJo31+vxNWpIh+/fZZ5+hd+/eqF+/PurXr4+YmJgq7UeNGlXlWMXFxZl7N6plyD6mpqZW6b+np6dGG3s+hto+TyRJwqBBg9RtbOkY7t69G4MHD0ZoaCgkScK6detq3Gbnzp3o2rUrPDw80LJlS6SmplZpY+jftcEEqc2ZM0f85z//EdOmTRN+fn56bTN//nzh5+cn1q1bJ44fPy6efPJJER4eLu7cuaNuExcXJzp16iT2798v/ve//4mWLVuKkSNHmmkvqmdoX+7duyeys7M1bsnJycLHx0cUFhaq2wEQK1as0GhX8TWwFGNe6+joaDF27FiNvsvlcvX6e/fuiYiICBETEyOOHj0qNm3aJBo2bCgSExPNvTtVGLp/J0+eFEOHDhUbNmwQ58+fF7/++qto1aqVGDZsmEY7ax2/NWvWCHd3d7F8+XJx+vRpMXbsWFGvXj2Rm5urtf3evXuFq6ureOedd0RmZqZ44403hJubmzh58qS6jT5/k5Zi6P49++yz4uOPPxZHjx4VZ86cEaNGjRJ+fn7izz//VLdJSEgQcXFxGscqPz/fUrtUhaH7uGLFCiGTyTT6n5OTo9HGno/hjRs3NPbt1KlTwtXVVaxYsULdxpaO4aZNm8T//d//iR9++EEAED/++GO17f/44w/h7e0tpk2bJjIzM8VHH30kXF1dRVpamrqNoa+ZMVi8aLFixQq9ihelUimCg4PFu+++q15269Yt4eHhIb7++mshhBCZmZkCgDh48KC6zebNm4UkSeLq1asm73t1TNWXzp07ixdffFFjmT5venMzdv+io6PFlClTdK7ftGmTcHFx0fiAXbp0qZDJZKKkpMQkfdeHqY7ft99+K9zd3UVZWZl6mbWOX2RkpJg4caL6vkKhEKGhoSIlJUVr+2eeeUYMGjRIY1mPHj3EuHHjhBD6/U1akqH7V9m9e/eEr6+v+PLLL9XLEhISxFNPPWXqrhrN0H2s6fPV0Y7h+++/L3x9fUVRUZF6ma0dQxV9PgdmzJgh2rdvr7Fs+PDhIjY2Vn2/tq+ZPjhsVAtZWVnIyclBTEyMepmfnx969OiB9PR0AEB6ejrq1auH7t27q9vExMTAxcUFBw4csGh/TdGXw4cP49ixYxg9enSVdRMnTkTDhg0RGRmJ5cuXQ1g4/7A2+7dq1So0bNgQERERSExMxO3btzUet0OHDggKClIvi42NRUFBAU6fPm36HdHBVO8luVwOmUyGOnU0f5fV0sevtLQUhw8f1vj7cXFxQUxMjPrvp7L09HSN9kD5sVC11+dv0lKM2b/Kbt++jbKyMvj7+2ss37lzJwIDA9G6dWtMmDABN27cMGnf9WXsPhYVFaFp06YICwvDU089pfF35GjH8IsvvsCIESNQt25djeW2cgwNVdPfoCleM3043K9KW1JOTg4AaHypqe6r1uXk5CAwMFBjfZ06deDv769uYymm6MsXX3yBtm3bolevXhrL586di8cffxze3t745Zdf8PLLL6OoqAiTJ082Wf9rYuz+Pfvss2jatClCQ0Nx4sQJzJw5E+fOncMPP/ygflxtx1i1zlJMcfyuX7+OefPm4aWXXtJYbo3jd/36dSgUCq2v7dmzZ7Vuo+tYVPx7Uy3T1cZSjNm/ymbOnInQ0FCNL4K4uDgMHToU4eHhuHDhAl5//XUMGDAA6enpcHV1Nek+1MSYfWzdujWWL1+Ojh07Qi6X47333kOvXr1w+vRpNG7c2KGOYUZGBk6dOoUvvvhCY7ktHUND6fobLCgowJ07d3Dz5s1av+/14fDFy6xZs7BgwYJq25w5cwZt2rSxUI9MT999rK07d+5g9erVmD17dpV1FZd16dIFxcXFePfdd03y5Wfu/av4Rd6hQweEhISgX79+uHDhAlq0aGH04+rLUsevoKAAgwYNQrt27fDmm29qrDPn8SPjzJ8/H2vWrMHOnTs1JrSOGDFC/f8dOnRAx44d0aJFC+zcuRP9+vWzRlcNEhUVhaioKPX9Xr16oW3btvjkk08wb948K/bM9L744gt06NABkZGRGsvt/RjaAocvXl577TWMGjWq2jbNmzc36rGDg4MBALm5uQgJCVEvz83NRefOndVt8vLyNLa7d+8e8vPz1dvXlr77WNu+rF27Frdv30Z8fHyNbXv06IF58+ahpKSk1j/eZan9U+nRowcA4Pz582jRogWCg4OrzJTPzc0FAJMcQ0vsX2FhIeLi4uDr64sff/wRbm5u1bY35fHTpWHDhnB1dVW/liq5ubk69yc4OLja9vr8TVqKMfun8t5772H+/PnYtm0bOnbsWG3b5s2bo2HDhjh//rzFv/hqs48qbm5u6NKlC86fPw/AcY5hcXEx1qxZg7lz59b4PNY8hobS9Tcok8ng5eUFV1fXWr8n9GKy2TMOxNAJu++99556mVwu1zph99ChQ+o2W7ZsseqEXWP7Eh0dXeUqFV3+/e9/i/r16xvdV2OY6rXes2ePACCOHz8uhHgwYbfiTPlPPvlEyGQycffuXdPtQA2M3T+5XC569uwpoqOjRXFxsV7PZanjFxkZKSZNmqS+r1AoRKNGjaqdsPu3v/1NY1lUVFSVCbvV/U1akqH7J4QQCxYsEDKZTKSnp+v1HFeuXBGSJIn169fXur/GMGYfK7p3755o3bq1ePXVV4UQjnEMhSj/HvHw8BDXr1+v8TmsfQxVoOeE3YiICI1lI0eOrDJhtzbvCb36arJHcgCXLl0SR48eVV8KfPToUXH06FGNS4Jbt24tfvjhB/X9+fPni3r16on169eLEydOiKeeekrrpdJdunQRBw4cEHv27BGtWrWy6qXS1fXlzz//FK1btxYHDhzQ2O73338XkiSJzZs3V3nMDRs2iM8++0ycPHlS/P7772LJkiXC29tbzJkzx+z7U5mh+3f+/Hkxd+5ccejQIZGVlSXWr18vmjdvLh577DH1NqpLpfv37y+OHTsm0tLSREBAgNUulTZk/+RyuejRo4fo0KGDOH/+vMalmffu3RNCWPf4rVmzRnh4eIjU1FSRmZkpXnrpJVGvXj31lV3//Oc/xaxZs9Tt9+7dK+rUqSPee+89cebMGZGUlKT1Uuma/iYtxdD9mz9/vnB3dxdr167VOFaqz6DCwkLxr3/9S6Snp4usrCyxbds20bVrV9GqVSuLFtK12cfk5GSxZcsWceHCBXH48GExYsQI4enpKU6fPq1uY8/HUOXRRx8Vw4cPr7Lc1o5hYWGh+rsOgPjPf/4jjh49Ki5duiSEEGLWrFnin//8p7q96lLp6dOnizNnzoiPP/5Y66XS1b1mpsDipYKEhAQBoMptx44d6ja4n4eholQqxezZs0VQUJDw8PAQ/fr1E+fOndN43Bs3boiRI0cKHx8fIZPJxAsvvKBREFlSTX3Jysqqss9CCJGYmCjCwsKEQqGo8pibN28WnTt3Fj4+PqJu3bqiU6dOYtmyZVrbmpuh+3f58mXx2GOPCX9/f+Hh4SFatmwppk+frpHzIoQQFy9eFAMGDBBeXl6iYcOG4rXXXtO41NhSDN2/HTt2aH1PAxBZWVlCCOsfv48++kg0adJEuLu7i8jISLF//371uujoaJGQkKDR/ttvvxUPPfSQcHd3F+3btxc///yzxnp9/iYtyZD9a9q0qdZjlZSUJIQQ4vbt26J///4iICBAuLm5iaZNm4qxY8ea9EvBGIbs49SpU9Vtg4KCxMCBA8WRI0c0Hs+ej6EQQpw9e1YAEL/88kuVx7K1Y6jrM0K1TwkJCSI6OrrKNp07dxbu7u6iefPmGt+JKtW9ZqYgCWHh61mJiIiIaoE5L0RERGRXWLwQERGRXWHxQkRERHaFxQsRERHZFRYvREREZFdYvBAREZFdYfFCREREdoXFCxEREdkVFi9ERERkV1i8EBERkV1h8UJERER25f8Be9s+6EqOn7cAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from micrograd import *\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "EPOCHS = 10\n",
    "BATCH_SIZE = 8\n",
    "LR = .03\n",
    "random.seed(1337)\n",
    "\n",
    "test_name = \"1 neuron, 1 input linear test; y = 2x + 1\"\n",
    "model = Sequential([Layer(1, 1)])\n",
    "print (model)\n",
    "\n",
    "# Train the model on 128 randomly generated data points between x = -1 and 1\n",
    "x_train = [[random.uniform(-1, 1)] for _ in range(128)]\n",
    "y_train = [[2 * x[0] + 1] for x in x_train]\n",
    "opt = SGD(model, lr=LR, gradient_cliping=1)\n",
    "fit (model, x_train, y_train, loss_fn=mse_loss, optimizer=opt, epochs=EPOCHS, batch_size=BATCH_SIZE, verbose=True)\n",
    "\n",
    "# Test and visualize on 33 evenly spaced data points between -1 and 1\n",
    "x_test = [[(i-16)/16] for i in range(33)]\n",
    "y_test = [[2 * x[0] + 1] for x in x_test]\n",
    "loss = test (model, x_test, y_test, loss_fn=mse_loss)[0].data\n",
    "\n",
    "if loss < 0.01:\n",
    "    print (f\"{test_name} passed with MSE {loss:.4f}\")\n",
    "else:\n",
    "    print (f\"{test_name} FAILED with MSE {loss:.4f}\")\n",
    "\n",
    "# Plot x_test and y_test vs y_hat\n",
    "y_hat = [model(xi).data for xi in x_test]\n",
    "plt.scatter(x_test, y_test, label=\"expected\")\n",
    "plt.scatter(x_test, y_hat, label=\"predicted\")\n",
    "plt.title(test_name)\n",
    "plt.legend()\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2 layer, 21 neuron + ReLU test; y = x^2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sequential([Layer(inputs=1, outputs=10), ReLU, Layer(inputs=10, outputs=10), ReLU, Layer(inputs=10, outputs=1)])\n",
      "Total parameters: 141\n",
      "Epoch 0: loss=0.5283\n",
      "Epoch 1: loss=0.0826\n",
      "Epoch 2: loss=0.0586\n",
      "Epoch 3: loss=0.0329\n",
      "Epoch 4: loss=0.0145\n",
      "Epoch 5: loss=0.0083\n",
      "Epoch 6: loss=0.0061\n",
      "Epoch 7: loss=0.0052\n",
      "Epoch 8: loss=0.0047\n",
      "Epoch 9: loss=0.0044\n",
      "2 layers, 21 neurons, ReLU activation, y = 2 - x^2 passed with MSE 0.0057\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from micrograd import *\n",
    "\n",
    "EPOCHS = 10\n",
    "BATCH_SIZE = 16\n",
    "LR = .5\n",
    "LR_DECAY = 0.01\n",
    "random.seed(1337)\n",
    "\n",
    "test_name = \"2 layers, 21 neurons, ReLU activation, y = 2 - x^2\"\n",
    "\n",
    "model = Sequential([Layer(1, 10), ReLU(), Layer(10, 10), ReLU(), Layer(10, 1)])\n",
    "print (model)\n",
    "print (f\"Total parameters: {len(model.parameters())}\")\n",
    "\n",
    "# Train the model on 512 randomly generated data points -1 and 1\n",
    "x_train = [[random.uniform(-1, 1)] for _ in range(512)]\n",
    "y_train = [[2 - x[0]**2] for x in x_train]\n",
    "opt = SGD(model, lr=LR, gradient_cliping=1, lr_decay=LR_DECAY)\n",
    "fit (model, x_train, y_train, loss_fn=mse_loss, optimizer=opt, epochs=EPOCHS, batch_size=BATCH_SIZE, verbose=True)\n",
    "\n",
    "# Test and visualize on 33 evenly spaced data points between -1 and 1\n",
    "x_test = [[(i-16)/16] for i in range(33)]\n",
    "y_test = [[2 - x[0]**2] for x in x_test]\n",
    "loss = test (model, x_test, y_test, loss_fn=mse_loss)[0].data\n",
    "\n",
    "if loss < .01:\n",
    "    print (f\"{test_name} passed with MSE {loss:.4f}\")\n",
    "else:\n",
    "    print (f\"{test_name} FAILED with MSE {loss:.4f}\")\n",
    "\n",
    "# Plot x_test and y_test vs y_hat\n",
    "y_hat = [model(xi).data for xi in x_test]\n",
    "plt.scatter(x_test, y_test, label=\"expected\")\n",
    "plt.scatter(x_test, y_hat, label=\"predicted\")\n",
    "plt.title(test_name)\n",
    "plt.legend()\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's try a classification problem from Andrey's notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sequential([Layer(inputs=2, outputs=16), ReLU, Layer(inputs=16, outputs=16), ReLU, Layer(inputs=16, outputs=1)])\n",
      "Epoch 0: loss=0.8958, accuracy=50.0\n",
      "Epoch 1: loss=1.6894, accuracy=81.0\n",
      "Epoch 2: loss=0.6733, accuracy=77.0\n",
      "Epoch 3: loss=0.7966, accuracy=82.0\n",
      "Epoch 4: loss=0.3782, accuracy=84.0\n",
      "Epoch 5: loss=0.3162, accuracy=88.0\n",
      "Epoch 6: loss=0.2797, accuracy=88.0\n",
      "Epoch 7: loss=0.2605, accuracy=91.0\n",
      "Epoch 8: loss=0.2435, accuracy=92.0\n",
      "Epoch 9: loss=0.2275, accuracy=91.0\n",
      "Epoch 10: loss=0.2098, accuracy=92.0\n",
      "Epoch 11: loss=0.2030, accuracy=92.0\n",
      "Epoch 12: loss=0.2145, accuracy=94.0\n",
      "Epoch 13: loss=0.2469, accuracy=90.0\n",
      "Epoch 14: loss=0.2515, accuracy=92.0\n",
      "Epoch 15: loss=0.2151, accuracy=91.0\n",
      "Epoch 16: loss=0.2121, accuracy=93.0\n",
      "Epoch 17: loss=0.1571, accuracy=95.0\n",
      "Epoch 18: loss=0.1439, accuracy=95.0\n",
      "Epoch 19: loss=0.1597, accuracy=94.0\n",
      "Epoch 20: loss=0.2020, accuracy=94.0\n",
      "Epoch 21: loss=0.1842, accuracy=91.0\n",
      "Epoch 22: loss=0.1590, accuracy=95.0\n",
      "Epoch 23: loss=0.1255, accuracy=95.0\n",
      "Epoch 24: loss=0.1388, accuracy=95.0\n",
      "Epoch 25: loss=0.1345, accuracy=95.0\n",
      "Epoch 26: loss=0.1271, accuracy=95.0\n",
      "Epoch 27: loss=0.0985, accuracy=97.0\n",
      "Epoch 28: loss=0.0995, accuracy=95.0\n",
      "Epoch 29: loss=0.1356, accuracy=95.0\n",
      "Epoch 30: loss=0.1703, accuracy=95.0\n",
      "Epoch 31: loss=0.1046, accuracy=97.0\n",
      "Epoch 32: loss=0.0917, accuracy=96.0\n",
      "Epoch 33: loss=0.0833, accuracy=97.0\n",
      "Epoch 34: loss=0.0970, accuracy=96.0\n",
      "Epoch 35: loss=0.0750, accuracy=97.0\n",
      "Epoch 36: loss=0.0826, accuracy=97.0\n",
      "Epoch 37: loss=0.0696, accuracy=98.0\n",
      "Epoch 38: loss=0.0889, accuracy=96.0\n",
      "Epoch 39: loss=0.0720, accuracy=98.0\n",
      "Epoch 40: loss=0.0811, accuracy=97.0\n",
      "Epoch 41: loss=0.0551, accuracy=98.0\n",
      "Epoch 42: loss=0.0676, accuracy=97.0\n",
      "Epoch 43: loss=0.0616, accuracy=99.0\n",
      "Epoch 44: loss=0.0714, accuracy=97.0\n",
      "Epoch 45: loss=0.0519, accuracy=99.0\n",
      "Epoch 46: loss=0.0640, accuracy=97.0\n",
      "Epoch 47: loss=0.0468, accuracy=99.0\n",
      "Epoch 48: loss=0.0454, accuracy=98.0\n",
      "Epoch 49: loss=0.0436, accuracy=99.0\n",
      "Epoch 50: loss=0.0422, accuracy=99.0\n",
      "Epoch 51: loss=0.0409, accuracy=99.0\n",
      "Epoch 52: loss=0.0399, accuracy=99.0\n",
      "Epoch 53: loss=0.0384, accuracy=99.0\n",
      "Epoch 54: loss=0.0378, accuracy=99.0\n",
      "Epoch 55: loss=0.0362, accuracy=99.0\n",
      "Epoch 56: loss=0.0357, accuracy=99.0\n",
      "Epoch 57: loss=0.0402, accuracy=100.0\n",
      "Epoch 58: loss=0.0493, accuracy=98.0\n",
      "Epoch 59: loss=0.0357, accuracy=99.0\n",
      "Epoch 60: loss=0.0329, accuracy=100.0\n",
      "Epoch 61: loss=0.0369, accuracy=99.0\n",
      "Epoch 62: loss=0.0299, accuracy=100.0\n",
      "Epoch 63: loss=0.0354, accuracy=99.0\n",
      "Epoch 64: loss=0.0296, accuracy=100.0\n",
      "Epoch 65: loss=0.0313, accuracy=99.0\n",
      "Epoch 66: loss=0.0328, accuracy=100.0\n",
      "Epoch 67: loss=0.0377, accuracy=99.0\n",
      "Epoch 68: loss=0.0243, accuracy=100.0\n",
      "Epoch 69: loss=0.0238, accuracy=100.0\n",
      "Epoch 70: loss=0.0233, accuracy=100.0\n",
      "Epoch 71: loss=0.0310, accuracy=99.0\n",
      "Epoch 72: loss=0.0246, accuracy=100.0\n",
      "Epoch 73: loss=0.0264, accuracy=100.0\n",
      "Epoch 74: loss=0.0261, accuracy=100.0\n",
      "Epoch 75: loss=0.0258, accuracy=100.0\n",
      "Epoch 76: loss=0.0242, accuracy=100.0\n",
      "Epoch 77: loss=0.0253, accuracy=100.0\n",
      "Epoch 78: loss=0.0223, accuracy=100.0\n",
      "Epoch 79: loss=0.0251, accuracy=100.0\n",
      "Epoch 80: loss=0.0196, accuracy=100.0\n",
      "Epoch 81: loss=0.0203, accuracy=100.0\n",
      "Epoch 82: loss=0.0247, accuracy=100.0\n",
      "Epoch 83: loss=0.0188, accuracy=100.0\n",
      "Epoch 84: loss=0.0220, accuracy=100.0\n",
      "Epoch 85: loss=0.0215, accuracy=100.0\n",
      "Epoch 86: loss=0.0173, accuracy=100.0\n",
      "Epoch 87: loss=0.0198, accuracy=100.0\n",
      "Epoch 88: loss=0.0195, accuracy=100.0\n",
      "Epoch 89: loss=0.0216, accuracy=100.0\n",
      "Epoch 90: loss=0.0164, accuracy=100.0\n",
      "Epoch 91: loss=0.0179, accuracy=100.0\n",
      "Epoch 92: loss=0.0179, accuracy=100.0\n",
      "Epoch 93: loss=0.0202, accuracy=100.0\n",
      "Epoch 94: loss=0.0154, accuracy=100.0\n",
      "Epoch 95: loss=0.0153, accuracy=100.0\n",
      "Epoch 96: loss=0.0161, accuracy=100.0\n",
      "Epoch 97: loss=0.0149, accuracy=100.0\n",
      "Epoch 98: loss=0.0149, accuracy=100.0\n",
      "Epoch 99: loss=0.0157, accuracy=100.0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(-1.548639298268643, 1.951360701731357)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from micrograd import *\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons, make_blobs\n",
    "\n",
    "EPOCHS = 100\n",
    "\n",
    "np.random.seed(1337)\n",
    "random.seed(1337)\n",
    "\n",
    "X, y = make_moons(n_samples=100, noise=0.1)\n",
    "y = list([yi*2 - 1] for yi in y) # make y be a list of lists, each -1 or 1\n",
    "\n",
    "# visualize in 2D\n",
    "#plt.figure(figsize=(5,5))\n",
    "#plt.scatter(X[:,0], X[:,1], c=y, s=20, cmap='jet')\n",
    "\n",
    "model = Sequential([Layer(2, 16), ReLU(), Layer(16, 16), ReLU(), Layer(16, 1)])\n",
    "print (model)\n",
    "\n",
    "# train the model using SGD\n",
    "opt = SGD(model, lr=1, lr_decay=.02)\n",
    "fit (model, X, y, loss_fn=svm_max_margin_loss, optimizer=opt, epochs=EPOCHS, regularization_alpha=1e-4, batch_size=None, metrics=(accuracy,), verbose=True)\n",
    "\n",
    "# visualize decision boundary\n",
    "h = 0.25\n",
    "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
    "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                     np.arange(y_min, y_max, h))\n",
    "Xmesh = np.c_[xx.ravel(), yy.ravel()]\n",
    "inputs = [list(map(Value, xrow)) for xrow in Xmesh]\n",
    "scores = list(map(model, inputs))\n",
    "Z = np.array([s.data > 0 for s in scores])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.contourf(xx, yy, Z, cmap=plt.cm.Spectral, alpha=0.8)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=40, cmap=plt.cm.Spectral)\n",
    "plt.xlim(xx.min(), xx.max())\n",
    "plt.ylim(yy.min(), yy.max())"
   ]
  }
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