latex debug

Author: avaamini

lab2/Part2_Debiasing.ipynb

@@ -481,10 +481,15 @@
         "2.   **Reconstruction loss ($L_{x}{(x,\\hat{x})}$)**: measures how accurately the reconstructed outputs match the input and is given by the $L^1$ norm of the input image and its reconstructed output.  \n",
         "\n",
         "The equations for both of these losses are provided below:\n",
+        "\n",
+        "$$ 2+3 = 5$$\n",
+        "\n",
         "$$L_{KL}(\\mu, \\sigma) = \\frac{1}{2}\\sum\\limits_{j=0}^{k-1}\\small{(\\sigma_j + \\mu_j^2 - 1 - \\log{\\sigma_j})}$$\n",
+        "\n",
         "$$L_{x}{(x,\\hat{x})} = ||x-\\hat{x}||_1$$\n",
         "\n",
-        "Thus for the VAE loss we have:\n",
+        "Thus for the VAE loss we have: \n",
+        "\n",
         "$$L_{VAE} = c\\cdot L_{KL} + L_{x}{(x,\\hat{x})}$$\n",
         "\n",
         "where $c$ is a weighting coefficient used for regularization. \n",