3_numerical_stability_and_init.ipynb

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   "source": [
    "%matplotlib inline\n",
    "import torch\n",
    "from d2l import torch as d2l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
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      "text/plain": [
       "<Figure size 450x250 with 1 Axes>"
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     },
     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "x = torch.arange(-8.0, 8.0, 0.1, requires_grad = True)\n",
    "y = torch.sigmoid(x)\n",
    "y.backward(torch.ones_like(x))\n",
    "\n",
    "d2l.plot(x.detach().numpy(), [y.detach().numpy(), x.grad.numpy()],\n",
    "         legend=['sigmoid', 'gradient'], figsize=(4.5,2.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "一个矩阵 \n",
      " tensor([[ 0.8189, -0.9025, -0.0073, -0.9281],\n",
      "        [ 2.3217,  0.9673,  1.9786,  1.6012],\n",
      "        [ 0.1125, -0.5241, -0.0729,  2.5281],\n",
      "        [ 0.1490,  1.2749,  0.5984, -1.0059]])\n",
      "乘以100个矩阵后 \n",
      " tensor([[-4.2684e+23,  3.5685e+23,  1.6804e+24, -2.6870e+22],\n",
      "        [ 3.0064e+24, -2.5134e+24, -1.1835e+25,  1.8926e+23],\n",
      "        [ 3.4410e+24, -2.8767e+24, -1.3546e+25,  2.1662e+23],\n",
      "        [-1.5926e+24,  1.3314e+24,  6.2697e+24, -1.0026e+23]])\n"
     ]
    }
   ],
   "source": [
    "M = torch.normal(0,1,size=(4,4))\n",
    "print('一个矩阵 \\n', M)\n",
    "for i in range(100):\n",
    "    M = torch.mm(M, torch.normal(0,1,size=(4,4)))\n",
    "    \n",
    "print('乘以100个矩阵后 \\n', M)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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