What is the meaning of gamma on Svm

**"gamma"** is a Hyperparameter in svm that is used to control the radius of the area of influence of the support vectors. YOu can see from the formula as

**K(xi,xj)= exp(-gamma|| xi - xj || ^2 ), gamma>0.**

It is a Hyperparameter for controlling this **K** nonlinear kernel function called **"Gaussian radial basis function."**

You can clearly see by the mathematical relation that.

- If gamma is small then K will be large means it will have high influence on deciding the class of the vector x_i.
- If gamma is large, it will have less influence on deciding the class of the vector x_i.

In short : Large gamma leads to high bias and low variance models, and vice-versa.

More read :- https://scikit-learn.org/stable/auto_examples/svm/plot_rbf_parameters.html#:~:text=Intuitively%2C%20the%20gamma%20parameter%20defines,the%20model%20as%20support%20vectors.

All the best!