minor fix to latex equation
"\n",
"where the log evidence $\\log p_{\\theta}({\\bf x})$ is given by\n",
"\n",
- "$$\\log p_{\\theta}(x) = \\log \\int\\! d{\\bf z}\\; p_{\\theta}({\\bf x}, {\\bf z})$$\n",
+ "$$\\log p_{\\theta}({\\bf x}) = \\log \\int\\! d{\\bf z}\\; p_{\\theta}({\\bf x}, {\\bf z})$$\n",
"\n",
- "In the general case this is a doubly difficult problem. This is because (even for a fixed $\\theta$) the integral over the latent random variables $\\bf z$ is often intractable. Conversely, even if we know how to calculate the log evidence for all values of $\\theta$, maximizing the log evidence as a function of $\\theta$ will in general be a difficult non-convex optimization problem. \n",
+ "In the general case this is a doubly difficult problem. This is because (even for a fixed $\\theta$) the integral over the latent random variables $\\bf z$ is often intractable. Furthermore, even if we know how to calculate the log evidence for all values of $\\theta$, maximizing the log evidence as a function of $\\theta$ will in general be a difficult non-convex optimization problem. \n",
"\n",
"In addition to finding $\\theta_{\\rm{max}}$, we would like to calculate the posterior over the latent variables $\\bf z$:\n",
"\n",
