diff --git a/book/src/AI-Models/Support-Vector-Machine/SVM-Margin.png b/book/src/AI-Models/Support-Vector-Machine/SVM-Margin.png new file mode 100644 index 0000000000000000000000000000000000000000..ba6391c1439f85d542f32798d51e2254e5fef3ed Binary files /dev/null and b/book/src/AI-Models/Support-Vector-Machine/SVM-Margin.png differ diff --git a/book/src/AI-Models/Support-Vector-Machine/Support-Vector-Machine.md b/book/src/AI-Models/Support-Vector-Machine/Support-Vector-Machine.md index 2557e9b7942ef0585c58107caeb859598a55fdd1..419f35bf58205639019c88fab317a17178934941 100644 --- a/book/src/AI-Models/Support-Vector-Machine/Support-Vector-Machine.md +++ b/book/src/AI-Models/Support-Vector-Machine/Support-Vector-Machine.md @@ -32,20 +32,27 @@ $$\{(x_i,y_i) | i = 1,...,m; y_i \in \{-1,1\}\}$$ and builds a hyperplane which tries its best to separate the two classes. -The hyperplane is build by a normal vector \\(w\\) trough the origin. Perpendicular to this are the hyperplanes with a set distance from the origin called bias +The hyperplane is build by a normal vector \\(w\\) trough the origin. Perpendicular to this are the hyperplanes with a set distance from the origin called bias or offset. For this distance we will take a fixed initial bias and divide it by the norm of the normal vector. -$$ \frac{b}{||w||_2} $$ +$$ \frac{b}{||w||} $$ -With this we have unique hyperplane where its points have the characteristics of. +With this we have unique hyperplane based on the normal vector and the bias where each point of the hyperplane \\(x\\) satisfies the following condition. Each point paired with the normal vector - bias is 0. -$$ \langle w,x \rangle + b = 0 $$ +$$ (w*x) - b = 0 $$ All points, which position are not on the hyperplane the value is either positive or negative respective to its class. To now find this Hyperplane we say that the labels for our training data are \\(y_i = \pm1\\) Therefore the following formal condition is given: -$$ y_i = sgn(\langle w,x_i \rangle +b) $$ +$$ y_i = sigmoid((w*x) - b) $$ + +We now use the formula of the hyperplane and plug the output into a sigmoid function to get a result between 0 and 1. + +Here is a visualized example to help you understand the different parameters of the hyperplane. + + +Source: <https://commons.wikimedia.org/wiki/File:SVM_margin.png> Furthermore the hyperplanes should be positioned to have the biggest margin possible, therefore the closest points to the hyperplane are used as support vectors for training which should give us the best combination for \\(w\\) and \\(b\\). After that the hyperplane can simply be used as a decision function. diff --git a/notebooks/examples/support_vector_machine.ipynb b/notebooks/examples/support_vector_machine.ipynb index 5925b6a7321166ae4605aa98fb2995c0eb1828aa..0e3583fb3a2bdfafc694ed36c1aebae796fb6cd4 100644 --- a/notebooks/examples/support_vector_machine.ipynb +++ b/notebooks/examples/support_vector_machine.ipynb @@ -34,7 +34,7 @@ "id": "bb64e863-3b40-4d94-bd12-e9ca47bc92be", "metadata": {}, "source": [ - "## Graph Erstellung\n", + "## Plot functions\n", "Here the graph for the output is created. The training data is displayed differently depending on the classes. In addition, the hyperplane and its border are drawn into the graph. In the end, this vector should separate the two classes." ] }, @@ -107,7 +107,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", "text/plain": [ "<Figure size 576x576 with 1 Axes>" ]