Mathematical analysis can assess a measure with respect to some formal properties , e.g. whether a measure is a metric ( Lin , 1998 ) .4 However , mathematical analysis can not tell us whether a measure closely resembles human judgments or whether it performs best when used in a certain application .
an informationtheoretic definition of similarity in
Dekang Lin
According to Budanitsky and Hirst ( 2006 ) , there are three prevalent approaches for evaluating SR measures : mathematical analysis , applicationspecific evaluation and comparison with human judgments . Mathematical analysis can assess a measure with respect to some formal properties , e.g. whether a measure is a metric ( Lin , 1998 ) .4 However , mathematical analysis can not tell us whether a measure closely resembles human judgments or whether it performs best when used in a certain application . The latter question is tackled by applicationspecific evaluation , where a measure is tested within the framework of a certain application , e.g. word sense disambiguation ( Patwardhan et al. , 2003 ) or malapropism detection ( Budanitsky and Hirst , 2006 ) .
Mathematical analysis can assess a measure with respect to some formal properties , e.g. whether a measure is a metric ( @@CITATION ) .4 However , mathematical analysis can not tell us whether a measure closely resembles human judgments or whether it performs best when used in a certain application .