Bayes Classifier
$begingroup$
Consider a K-class problem. Suppose the classifier is allowed the option
to reject a pattern. This is implemented by having classifier output a
number between 1 and K + 1. When classifier outputs K + 1 it is
considered as rejecting the pattern. Consider a loss function as follows.
When the classifier outputs the correct class there is no loss. Suppose
classifier misclassifies (that is, the classifier outputs a number between
1 and K but it is the wrong class); then the loss is $rho$m. When classifier
rejects, that is, it outputs K + 1, the loss is $rho$r. For this loss function
what is the Bayes classifier.
multiclass-classification classifier bayes-error
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$begingroup$
Consider a K-class problem. Suppose the classifier is allowed the option
to reject a pattern. This is implemented by having classifier output a
number between 1 and K + 1. When classifier outputs K + 1 it is
considered as rejecting the pattern. Consider a loss function as follows.
When the classifier outputs the correct class there is no loss. Suppose
classifier misclassifies (that is, the classifier outputs a number between
1 and K but it is the wrong class); then the loss is $rho$m. When classifier
rejects, that is, it outputs K + 1, the loss is $rho$r. For this loss function
what is the Bayes classifier.
multiclass-classification classifier bayes-error
asked 5 hours ago
pinoferpinofer
1
New contributor
pinofer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Consider a K-class problem. Suppose the classifier is allowed the option
to reject a pattern. This is implemented by having classifier output a
number between 1 and K + 1. When classifier outputs K + 1 it is
considered as rejecting the pattern. Consider a loss function as follows.
When the classifier outputs the correct class there is no loss. Suppose
classifier misclassifies (that is, the classifier outputs a number between
1 and K but it is the wrong class); then the loss is $rho$m. When classifier
rejects, that is, it outputs K + 1, the loss is $rho$r. For this loss function
what is the Bayes classifier.
multiclass-classification classifier bayes-error
asked 5 hours ago
pinoferpinofer
1
New contributor
pinofer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Consider a K-class problem. Suppose the classifier is allowed the option
to reject a pattern. This is implemented by having classifier output a
number between 1 and K + 1. When classifier outputs K + 1 it is
considered as rejecting the pattern. Consider a loss function as follows.
When the classifier outputs the correct class there is no loss. Suppose
classifier misclassifies (that is, the classifier outputs a number between
1 and K but it is the wrong class); then the loss is $rho$m. When classifier
rejects, that is, it outputs K + 1, the loss is $rho$r. For this loss function
what is the Bayes classifier.
multiclass-classification classifier bayes-error
multiclass-classification classifier bayes-error
asked 5 hours ago
pinoferpinofer
1
New contributor
pinofer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 5 hours ago
pinoferpinofer
1
New contributor
pinofer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 5 hours ago
pinoferpinofer
1
New contributor
pinofer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 5 hours ago
pinoferpinofer
1
asked 5 hours ago
pinoferpinofer
1
1
New contributor
pinofer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
pinofer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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