Update example

examples/MeasuredNoiseGP.ipynb

@@ -4,7 +4,7 @@
   "metadata": {
     "colab": {
       "provenance": [],
-      "authorship_tag": "ABX9TyOVUbkB/E3aKxDTkuP/V95t",
+      "authorship_tag": "ABX9TyOBjhysLk/t2uY42yIrNT/s",
       "include_colab_link": true
     },
     "kernelspec": {
@@ -44,6 +44,24 @@
         "id": "-RHuwrdgT8mj"
       }
     },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "This notebook illustrates the usage of ```MeasuredNoiseGP``` model that extends the ```ExactGP``` model by allowing the inclusion of measured noise in the GP framework. Unlike standard GP models where noise is typically inferred, this model uses noise values obtained from repeated measurements at the same input points."
+      ],
+      "metadata": {
+        "id": "huRGMA1M6Dnm"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Install GPax:"
+      ],
+      "metadata": {
+        "id": "h8e-D8_X7AnN"
+      }
+    },
     {
       "cell_type": "code",
       "source": [
@@ -56,7 +74,7 @@
         "id": "MKsO0n1wZeie",
         "outputId": "51166d1a-b77f-418e-9850-22591c7901da"
       },
-      "execution_count": 2,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "stream",
@@ -72,6 +90,15 @@
         }
       ]
     },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Imports:"
+      ],
+      "metadata": {
+        "id": "AJyxXVNP7CwJ"
+      }
+    },
     {
       "cell_type": "code",
       "source": [
@@ -85,12 +112,21 @@
       "metadata": {
         "id": "5AHwdSJ3aIAx"
       },
-      "execution_count": 3,
+      "execution_count": null,
       "outputs": []
     },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Generate synthetic data:"
+      ],
+      "metadata": {
+        "id": "Ai7EDFoZ7D5Y"
+      }
+    },
     {
       "cell_type": "code",
-      "execution_count": 126,
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
@@ -145,6 +181,15 @@
         "plt.show()"
       ]
     },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Initialize and train ```MeasuredNoiseGP``` model."
+      ],
+      "metadata": {
+        "id": "Np3reuVd7Ifc"
+      }
+    },
     {
       "cell_type": "code",
       "source": [
@@ -164,7 +209,7 @@
         "id": "nM_EOnBuaFFS",
         "outputId": "a1e05141-b039-4556-d25d-ac70688397b7"
       },
-      "execution_count": 134,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "stream",
@@ -187,6 +232,15 @@
         }
       ]
     },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Make a prediction on the denser grid (in real measurements, this will be a full discrete parameter space):"
+      ],
+      "metadata": {
+        "id": "fQINffh-7OPI"
+      }
+    },
     {
       "cell_type": "code",
       "source": [
@@ -199,9 +253,18 @@
       "metadata": {
         "id": "7wQ166vichmK"
       },
-      "execution_count": 135,
+      "execution_count": null,
       "outputs": []
     },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Plot the prediction:"
+      ],
+      "metadata": {
+        "id": "7z-pYTma7ggH"
+      }
+    },
     {
       "cell_type": "code",
       "source": [
@@ -226,7 +289,7 @@
         "id": "wemHR_IKgLxX",
         "outputId": "920bb3fd-3882-4ea4-e018-e20b08cc8c7c"
       },
-      "execution_count": 136,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "execute_result",
@@ -250,6 +313,15 @@
         }
       ]
     },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Plot the predicted noise for ```X_test```:"
+      ],
+      "metadata": {
+        "id": "gHGPQaGa7i7S"
+      }
+    },
     {
       "cell_type": "code",
       "source": [
@@ -266,7 +338,7 @@
         "id": "ha0Wl4YVmU2B",
         "outputId": "e53083ee-05c9-4dc9-c671-ef1c0356678d"
       },
-      "execution_count": 137,
+      "execution_count": null,
       "outputs": [
         {
           "output_type": "execute_result",
@@ -289,15 +361,6 @@
           "metadata": {}
         }
       ]
-    },
-    {
-      "cell_type": "code",
-      "source": [],
-      "metadata": {
-        "id": "_UN4tgdGozPo"
-      },
-      "execution_count": 8,
-      "outputs": []
     }
   ]
 }