diff --git a/EM/Multivariate/playground-3d.ipynb b/EM/Multivariate/playground-3d.ipynb index a79622a..8597e74 100644 --- a/EM/Multivariate/playground-3d.ipynb +++ b/EM/Multivariate/playground-3d.ipynb @@ -33,12 +33,13 @@ "source": [ "## Generate Data\n", "\n", - "Covariance Matrix $\\Sigma$ must be positive semi-definite.\n", + "Covariance Matrix Sigma must be positive semi-definite.\n", "\n", "One way to make sure that we have a positive semi-definite matrix when generating random matrices is:\n", "\n", "- Generate Random Matrix A\n", - "- $C = A^\\intercal A$ will be positive semi-definite" + "- Multiply A with its transpose\n", + "- The result will be positive semi-definite" ] }, { @@ -140,11 +141,11 @@ "\n", "### Multivariate Normal Distribution\n", "\n", - "$$\n", + "" ] }, { @@ -216,10 +217,10 @@ "source": [ "### Expectation Step\n", "\n", - "$$\n", + "" ] }, { @@ -250,7 +251,7 @@ "source": [ "### Maximization Step\n", "\n", - "Define\n", + "\n" ] }, { @@ -302,9 +303,9 @@ "source": [ "### Log Likelihood\n", "\n", - "$$\n", + "" ] }, {