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How to build ROC curve (or AUC) of multi-class classification model from confusion matrix only

Simplified the question, omitted unnecessary presumption I have made.
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I've been looking into using ROC curves as a evaluation tool of a multi-class classification. The only data I have about this classification is in form of 77-by-7 confusion matrix.

Specifically, I've been thinking using Hand and Till's (2001) multi-class AUC, not actually plottingVisualisation of the ROC curves is not important, result in form of AUC is sufficient. 

Is this possible only from a confusion matrix?

I am machine learning novice and large part ofEdit: Simplified the Hand and Till's paper is beyond my comprehensions.

It is also worth to note that I'd like to implement this in R languagequestion, omitted unnecessary presumption I have made.

I've been looking into using ROC curves as a evaluation tool of a multi-class classification. The only data I have about this classification is in form of 7-by-7 confusion matrix.

Specifically, I've been thinking using Hand and Till's (2001) multi-class AUC, not actually plotting the curves. Is this possible only from a confusion matrix?

I am machine learning novice and large part of the Hand and Till's paper is beyond my comprehensions.

It is also worth to note that I'd like to implement this in R language.

I've been looking into using ROC curves as a evaluation tool of a multi-class classification. The only data I have about this classification is in form of 7-by-7 confusion matrix.

Visualisation of the ROC curves is not important, result in form of AUC is sufficient. 

Is this possible?

Edit: Simplified the question, omitted unnecessary presumption I have made.

Source Link

ROC of multi-class classification from confusion matrix only

I've been looking into using ROC curves as a evaluation tool of a multi-class classification. The only data I have about this classification is in form of 7-by-7 confusion matrix.

Specifically, I've been thinking using Hand and Till's (2001) multi-class AUC, not actually plotting the curves. Is this possible only from a confusion matrix?

I am machine learning novice and large part of the Hand and Till's paper is beyond my comprehensions.

It is also worth to note that I'd like to implement this in R language.