diff --git a/Chapter3-MachineLearning/3.3_binary_classification.html b/Chapter3-MachineLearning/3.3_binary_classification.html index 7070101..cae70d5 100644 --- a/Chapter3-MachineLearning/3.3_binary_classification.html +++ b/Chapter3-MachineLearning/3.3_binary_classification.html @@ -703,9 +703,6 @@
We will start with the fundamental LDA.
The mean accuracy on the given test and labels is 0.875000
-
<matplotlib.collections.PathCollection at 0x7f7c5ef8fdf0>
-
The results shows a not-too bad classification, but a low confidence.
Let’s try a different classifer: KNN
@@ -776,15 +762,6 @@The mean accuracy on the given test and labels is 0.975000
-
<matplotlib.collections.PathCollection at 0x7f7c5ad06230>
-
<matplotlib.collections.PathCollection at 0x7f7c5ab6c760>
-
Now we will test to see what happens when you do not normalize your data before the classification. We will stretch the first axis of the data to see the effects.
The mean accuracy on the given test and labels is 0.775000
-
<matplotlib.collections.PathCollection at 0x7f7c5ace6590>
-
This drastically reduces the performance.
@@ -927,17 +889,6 @@confusion matrix
-[[18 1]
- [ 0 21]]
-precison, recall
-0.9545454545454546 1.0
-F1 score
-0.9767441860465117
-
A complete well-formatted report of the performance can be called using the function classification_report
:
Classification report for classifier KNeighborsClassifier():
- precision recall f1-score support
-
- 0 1.00 0.95 0.97 19
- 1 0.95 1.00 0.98 21
-
- accuracy 0.97 40
- macro avg 0.98 0.97 0.97 40
-weighted avg 0.98 0.97 0.97 40
-
Precision and recall trade off: increasing precision reduces recall.
\(precision = \frac{TP}{TP+FP}\)
@@ -986,12 +924,6 @@[<matplotlib.lines.Line2D at 0x15225a3a0>]
-
We now explore the different classifiers packaged in scikit learn. We can systematically test their performance and save the precision, recall,
diff --git a/_images/3.3_binary_classification_10_2.png b/_images/3.3_binary_classification_10_2.png deleted file mode 100644 index 7eb4937..0000000 Binary files a/_images/3.3_binary_classification_10_2.png and /dev/null differ diff --git a/_images/3.3_binary_classification_11_1.png b/_images/3.3_binary_classification_11_1.png deleted file mode 100644 index 7eb4937..0000000 Binary files a/_images/3.3_binary_classification_11_1.png and /dev/null differ diff --git a/_images/3.3_binary_classification_14_2.png b/_images/3.3_binary_classification_14_2.png deleted file mode 100644 index f5fa6ea..0000000 Binary files a/_images/3.3_binary_classification_14_2.png and /dev/null differ diff --git a/_images/3.3_binary_classification_21_1.png b/_images/3.3_binary_classification_21_1.png deleted file mode 100644 index e5bafa8..0000000 Binary files a/_images/3.3_binary_classification_21_1.png and /dev/null differ diff --git a/_images/3.3_binary_classification_5_0.png b/_images/3.3_binary_classification_5_0.png deleted file mode 100644 index 5d0efde..0000000 Binary files a/_images/3.3_binary_classification_5_0.png and /dev/null differ diff --git a/_images/3.3_binary_classification_8_1.png b/_images/3.3_binary_classification_8_1.png deleted file mode 100644 index 1d69424..0000000 Binary files a/_images/3.3_binary_classification_8_1.png and /dev/null differ diff --git a/_sources/Chapter3-MachineLearning/3.3_binary_classification.ipynb b/_sources/Chapter3-MachineLearning/3.3_binary_classification.ipynb index 687de92..1e58896 100644 --- a/_sources/Chapter3-MachineLearning/3.3_binary_classification.ipynb +++ b/_sources/Chapter3-MachineLearning/3.3_binary_classification.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "6107cdf4", "metadata": {}, "outputs": [], @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "d396cc63", "metadata": {}, "outputs": [], @@ -72,21 +72,10 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "be32d69c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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