2012年6月8日 星期五

Support vector learning for ordinal regression

Support vector learning for ordinal regressionR. Herbrich, ICANN, 1999.
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The paper aim to convert the ordinal regression problem to classification problem, then use the SVM to solve the reduced problem.

The input pair is as follow

loss is formulated like following


The concept of this method is simple, below is a toy example



It simply convert the ranking problem into classification.
Solve the W, find the linear mapping as follow



The equation above is somewhat like the SVM optimization problem.
The pictture bellow shows the result of the mapping.
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Comment:
The idea is smart and easy to understand. But the paper use too many notation and math equation which make it hard to read. It should explain the notion in a more general way.


1 則留言:

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