latex debug

Author: avaamini

lab2/Part2_Debiasing.ipynb

@@ -487,13 +487,17 @@
         "id": "KV1khmq5wt-K"
       },
       "source": [
-        "The equations for both of these losses are provided below.\r\n",
+        "The equations for both of these losses are provided below:\r\n",
         "\r\n",
         "$$L_{KL}(\\mu, \\sigma) = \\frac{1}{2}\\sum_{j=0}^{k-1} (\\sigma_j + \\mu_j^2 - 1 - \\log{\\sigma_j})$$\r\n",
         "\r\n",
+        "$$L_{x}{(x,\\hat{x})} = ||x-\\hat{x}||_1$$\r\n",
+        "\r\n",
         "<!-- $$L_{KL}(\\mu, \\sigma) = \\frac{1}{2}\\sum\\limits_{j=0}^{k-1}\\small{(\\sigma_j + \\mu_j^2 - 1 - \\log{\\sigma_j})}$$ -->\r\n",
         "\r\n",
-        "Thus for the VAE loss we have."
+        "Thus for the VAE loss we have:\r\n",
+        "\r\n",
+        "$$L_{VAE} = c\\cdot L_{KL} + L_{x}{(x,\\hat{x})}$$"
       ]
     },
     {