Testing nbviewer

untitled-3.ipynb

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     "text": [
      "### 2.3 Vectorized and Regularized Logistic Gradient\n",
      "Since $ \\frac{\\partial}{\\partial θ} θ_j^2 = 2θ_j $, using the result\n",
      "above we can write the vectorized logistic gradient with regularization as:\n",
      "$$ \\frac{\\partial}{\\partial θ} J(θ) \n",
      "= \\frac{1}{m} \\sum_{i=1}^{m} \\left[ h_θ(x^{(i)}) - y^{(i)} \\right] \\, x^{(i)}\n",
      "+ \\frac{λ}{m} \\sum_{j=1}^{n} θ_j\n",
      "$$\n"
     ]
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    "txt = (\"### 2.3 Vectorized and Regularized Logistic Gradient\\n\",\n",
    "\n",
    "    \"Since $ \\\\frac{\\\\partial}{\\\\partial θ} θ_j^2 = 2θ_j $, using the result\\n\",\n",
    "\n",
    "    \"above we can write the vectorized logistic gradient with regularization as:\\n\",\n",
    "\n",
    "    \"$$ \\\\frac{\\\\partial}{\\\\partial θ} J(θ) \\n\",\n",
    "\n",
    "    \"= \\\\frac{1}{m} \\\\sum_{i=1}^{m} \\\\left[ h_θ(x^{(i)}) - y^{(i)} \\\\right] \\\\, x^{(i)}\\n\",\n",
    "\n",
    "    \"+ \\\\frac{λ}{m} \\\\sum_{j=1}^{n} θ_j\\n\",\n",
    "\n",
    "    \"$$\")\n",
    "print(''.join(txt))\n"
   ]
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   "id": "latest-greek",
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   "source": [
    "### 2.3 Vectorized and Regularized Logistic Gradient\n",
    "Since $ \\frac{\\partial}{\\partial θ} θ_j^2 = 2θ_j $, using the result\n",
    "above we can write the vectorized logistic gradient with regularization as:\n",
    "\\begin{equation}\n",
    "\\frac{\\partial}{\\partial θ} J(θ) \n",
    "= \\frac{1}{m} \\sum_{i=1}^{m} \\left[ h_θ(x^{(i)}) - y^{(i)} \\right] \\, x^{(i)}\n",
    "+ \\frac{λ}{m} \\sum_{j=1}^{n} θ_j\n",
    "\\end{equation}\n"
   ]
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   "cell_type": "code",
   "execution_count": null,
   "id": "conservative-northwest",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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