Primal and Dual Forms of Hard and Soft Margin - Concept of Support Vectors - Engineering Assignment Help

Assignment Task :

1 Report Please write down your understanding of binary class linear SVMs (within 3 pages) and experiment comparison of your code and an existing implementation of SVMs such as libsvm f 2] or scikit-learn (within 3 pages) in the report. So in total, you have at most 8 pages for the report. This is no strict format of the report (rather than the page limit). The purpose of the report is to show what you have understood about SVMs and what you have done to make your code correct. The report should at least cover the following key points (not limited to) :

• The primal form and its dual form for both hard margin and soft margin case; 

• Concept of support vectors;

• Concept of max margin;

• Concepts of generalisation/test error;

•  Experimental results including comparison between your implementation and a 3rd-party SVM imple- mentation. 

Marking criteria

• Define variables before you use them

• Primal and dual forms of hard and soft margin SVMs

• Concept of support vectors

• Concept of max margin

• Experiments We are intentionally leaving this part open-ended to allow for experimentation. Besides the following, you are encouraged to rim more experiments and show your thoughts.

You might get extra points.

• compare your w, b obtained via solving the primal problem, with the w, b reconstructed by the dual variables obtained via solving the dual problem (both the results and the reconstruction formulation)
• compare your results (both training and testing errors) with those of a 3rd-party SVM implementa-tion

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