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First many classifiers 'require' a feature matrix of full column rank, so including a variable like the length of the name along with the n-gram frequencies introduces a linear dependence between the columns; coding EGAN as having length 4 along with the 1-grams E, G, A, and N, clearly introduces no new information. The same is true for bigrams EG, GA, and AN, or trigrams EGA and GAN, and so forth. Likewise coding both bigrams and trigrams introduces no new information.
Second the assumption of independence among features means that with an n-gram encoding the sequence information is lost. That is EGA and GAN are assumed to be uncorrelated, though clearly they are not (as they overlap by GA). Thus there is a potential for improvement by including positional features. One way of denoting the start and end of the string is to add a space to the gram set and delimit surname with spaces. Thus EGAN would be coded in trigrams as " EG", "EGA", "GAN", and "AN ". As space characters can be difficult to spotand problematic to parse, a hash (#) or underscore (_) is often used in its place.
==Extracting the Features==
Where <tt>sp=1</tt> forces the inclusion of spaces in the character set (which is otherwise a-z), as well as before and after the string, <tt>minfq</tt> sets to minimum global frequency of occurance of an n-gram for it to be included in the output, and <tt>diag=1</tt> produces an additional frequency of occurance diagnostic file.
The script has several other useful options, including <tt>-two</tt> which generates two files, one of the index, the class (if specified through '<tt>-classnocol'refcol</tt> and a reference file is specified with <tt>-r</tt>) and the gram variables, and another containing the index and all other variables. Test An example command line to build the two files and do the reference look-ups is: <tt> perl SurnameFeatures.pl -i=SourceFile.txt -r=Culture-EganClassification.txt -rcol=6 -rkey=0 -rno=2 -ncol=0 -dcol=5 -rsup=1 -sp=1 -gram=2 -minfq=1 -diag=0 -two=1 </tt> Where <tt>-rsup</tt> suppresses records that do not have reference lookups, and the <tt>-rkey</tt> and <tt>-rno</tt> specify the key and class number columns in the reference file (here Culture-EganClassification.txt). For simplicity we recommend that country names are standardized to the UN standard and then used as reference keys.
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