Skip to content

Commit 33a62c3

Browse files
committed
Fix typo in math expression
1 parent b33f68a commit 33a62c3

File tree

1 file changed

+3
-3
lines changed

1 file changed

+3
-3
lines changed

gaussian-processes/gaussian_processes_classification.ipynb

Lines changed: 3 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -84,7 +84,7 @@
8484
"\\tag{6}\n",
8585
"$$\n",
8686
"\n",
87-
"This integral is analytically intractable. Two approximation are needed to make it tractable. First, $p(a_*|\\mathbf{t})$ must be approximated with a Gaussian distribution. Second, $p(t_*=1 \\mid a_*) = \\sigma(a_*)$ must be approximated with the inverse probit function $\\Phi(a_*)$ (see also \\[2\\] section 4.3.5). Let's start with $p(a_* \\mid \\mathbf{t})$ which can be defined as:\n",
87+
"This integral is analytically intractable. Two approximation are needed to make it tractable. First, $p(a_* \\mid \\mathbf{t})$ must be approximated with a Gaussian distribution. Second, $p(t_*=1 \\mid a_*) = \\sigma(a_*)$ must be approximated with the inverse probit function $\\Phi(a_*)$ (see also \\[2\\] section 4.3.5). Let's start with $p(a_* \\mid \\mathbf{t})$ which can be defined as:\n",
8888
"\n",
8989
"$$\n",
9090
"p(a_* \\mid \\mathbf{t}) = \\int{p(a_* \\mid \\mathbf{a}) p(\\mathbf{a} \\mid \\mathbf{t}) d\\mathbf{a}}\n",
@@ -440,7 +440,7 @@
440440
"cell_type": "markdown",
441441
"metadata": {},
442442
"source": [
443-
"Computing class 1 probabilities at `X_test` gives the following output (green line), shown in context of the training data. The black dotted line represents the decision boundary at $p(t_*=1|\\mathbf{t}) = 0.5$."
443+
"Computing class 1 probabilities at `X_test` gives the following output (green line), shown in context of the training data. The black dotted line represents the decision boundary at $p(t_*=1 \\mid \\mathbf{t}) = 0.5$."
444444
]
445445
},
446446
{
@@ -690,7 +690,7 @@
690690
"cell_type": "markdown",
691691
"metadata": {},
692692
"source": [
693-
"This is also the case for the predicted class 1 probabilities shown in the following contour plots. The black dashed line represents the decision boundary at $p(t_*=1|\\mathbf{t}) = 0.5$. The results obtained with the minimal implementation"
693+
"This is also the case for the predicted class 1 probabilities shown in the following contour plots. The black dashed line represents the decision boundary at $p(t_*=1 \\mid \\mathbf{t}) = 0.5$. The results obtained with the minimal implementation"
694694
]
695695
},
696696
{

0 commit comments

Comments
 (0)