Question

In: Math

Please write down your understanding of binary class linear SVMs. Please cover the following subtopics: 1)The...

Please write down your understanding of binary class linear SVMs. Please cover the following subtopics:

1)The primal form and its dual form for both hard margin and soft margin case;
2) Concept of support vectors
3) Why max-margin is good;
4) Concepts of generalisation/test error;

Solutions

Expert Solution

Background

There are many different kinds of machine learning algorithms to discover actionable insights from data. These different kinds of machine learning algorithms can be classified into two, based on the approach they “learn”.

1) Supervised Learning

2) Unsupervised Learning

The vast area of machine learning uses supervised learning. Supervised learning is where you have input variables (x) and an output variable (Y) and you use an algorithm to learn the mapping function from the input to the output Y = f(X). The goal is to approximate the mapping function so well that when you have new input data (x) that you can predict the output variables (Y) for that data.

Classification is also one such Supervised Learning technique where the trained with the algorithm so that it can classify the new data point with a high probability of classifying it correctly.

Example:

  • Predicting the gender of a person by his/her handwriting style where GENDER has two classes.
  • Predicting the different stages of cancer by analysing medical reports.

SVM (Support Vector Machine) can be used for both binary class( two classes) and multi-class(more than two classes) problems. When we use a support vector machine (SVM) when our data has exactly two classes then it is called Binary class SVM. An SVM classifies data by finding the best hyperplane that separates all data points of one class from those of the other class. The best hyperplane for an SVM means the one with the largest margin between the two classes. Margin means the maximal width of the slab parallel to the hyperplane that has no interior data points.

The support vectors are the data points that are closest to the separating hyperplane; these points are on the boundary of the slab. The following figure illustrates these definitions, with + indicating data points of type 1, and – indicating data points of type –1.


Related Solutions

Please do not forget to write down all the names of your group members. 1. Please...
Please do not forget to write down all the names of your group members. 1. Please propose the mechanism for α−β C-C bond cleavage of G6P. Draw the mechanism clearly, give the structures of the product, and then explain why steps 2 and 3 of glycolysis are necessary. 2. If glucose is labeled at C1 carbon (the C1 carbon is tagged with radioactive 14C), where would this labeled C atom be (which carbon atom number, draw the structure and label...
Write down a summary of your understanding in 300 words. On 1st January, the Managing Director...
Write down a summary of your understanding in 300 words. On 1st January, the Managing Director of ‘N’ Ltd. wishes to know the amount of working capital that will be required during the year. From the following information prepare the working capital requirements forecast (Statement of Working Capital) # · Production during the previous year was 60,000 units. It is planned that this level of activity would be maintained during the present year. · The expected ratios of the cost...
1 a). Write down the Slater determinant for Lithium. Expand the determinant into linear combination of...
1 a). Write down the Slater determinant for Lithium. Expand the determinant into linear combination of products. b). Write down the Slater determinant for Beryllium. Expand the determinant into linear combination of products.
Please write down your opinions on Square Stepping Exercise.
Please write down your opinions on Square Stepping Exercise.
Please write using your own words and write about understanding emotion and human communication.
Please write using your own words and write about understanding emotion and human communication. give a deeper understanding.Include definitions, examples, descriptions, and specific details.
Please write using your own words and write about understanding emotion and human communication as a...
Please write using your own words and write about understanding emotion and human communication as a nurse. give a deeper understanding.Include definitions, examples, descriptions, and specific details.Please use facts.
1)Write down the optimization problem defining the lasso estimator in the context of a linear model...
1)Write down the optimization problem defining the lasso estimator in the context of a linear model 2) (continued) Do the degrees of freedom of the estimator increase or decrease as a function of tuning the parameter? Explain.
Please write about your own understanding of the importance of the position of a central currency
Please write about your own understanding of the importance of the position of a central currency
Write a poem related to Calculus 2 content that students cover in that class!
Write a poem related to Calculus 2 content that students cover in that class!
1) a. Write down a C++ program which will create a list (simple linear linked list)...
1) a. Write down a C++ program which will create a list (simple linear linked list) of nodes. Each node consists of two fields. The first field is a pointer to a structure that contains a student id (integer) and a gradepoint average (float). The second field is a link. The data are to be read from a text file. Your program should read a file of 10 students (with student id and grade point average) and test the function...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT