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BAYESOL(1)							    BAYESOL(1)

NAME
       bayesol - a Bayes solution calculator for use with dbacl.

SYNOPSIS
       bayesol [-DVNniv] -c riskspec [FILE]...

       bayesol -V

DESCRIPTION
       bayesol	is  a Bayes solution calculator designed to combine the output
       of dbacl(1) with a prior distribution and  a  risk  specification,  and
       calculate  the optimal Bayesian decision (which minimizes the posterior
       risk).

       The risk specification is read from the text file riskspec and must  be
       written	in  a  simple  format described below. The dbacl(1) output can
       either be read from FILE or from STDIN.

EXIT STATUS
       On success, bayesol returns a positive  integer	corresponding  to  the
       category	 with  the lowest risk.	 In case of a problem, bayesol returns
       zero.

OPTIONS
       -c     Classify using riskspec.	See the section RISK SPECIFICATION.

       -i     Fully internationalized mode. Forces the use of wide  characters
	      internally,  which  is  necessary in some locales. This incurs a
	      noticeable performance penalty.

       -n     Print risk scores for each category.  Each  score	 is  (approxi‐
	      mately)  the logarithm of the expected risk under that category.
	      The lowest score (ie closest to -infinity) is best, etc.

       -N     Print recursive risk scores for each category.   Each  score  is
	      (approximately)  the  logarithm  of  the best score based on the
	      remaining categories, after the previously  best	scoring	 cate‐
	      gories  have been removed, and a normalizing factor was added. A
	      full description is given in the technical report listed at  the
	      end  of  this manpange. The largest score (ie closest to +infin‐
	      ity) is best, etc.

       -v     Verbose mode. Prints to STDOUT the category with minimum	poste‐
	      rior  risk.  In case several categories are possible, prints the
	      first category in the order in which they appear	in  the	 cate‐
	      gories section of riskpspec.

       -D     Print debug output. Do not use.

       -V     Print the program version number and exit.

RISK SPECIFICATION
       bayesol needs to read a text file riskspec containing a risk specifica‐
       tion. The format of this text file is as follows

	      categories { cat1, cat2,..., catN}
	      prior { p1, p2,..., pN}
	      loss_matrix {
	      "regex1" c1 [ formula11, formula12,..., formula1N]
	      "regex2" c2 [ formula21, formula22,..., formula2N]
	       .
	       .
	      "regexM" cM [ formulaM1, formulaM2,..., formulaMN]
	      }

       In the above, cat1, cat2,..., catN, are category names, p1, p2,..., pN,
       are  non-negative  numbers,  regex1,  regex2,..., regexM, are (possibly
       empty) regular expression strings, c1, c2,..., cM, are instances of the
       category	 names	cat1,  cat2,..., catN, and the formulas are numbers or
       mathematical expressions.

       Every category which appears in the categories section must  appear  at
       least once in the loss_matrix section, with an empty "" regular expres‐
       sion.  To construct the actual loss matrix used in the decision	calcu‐
       lations, bayesol selects, for each category appearing in the categories
       section, the first row whose regular expression is matched within  FILE
       or  STDIN,  or the first row with empty regular expression if there are
       no matches.

       Each formula can be either a single number, or an algebraic combination
       of  the	operators  exp(), log(), +, -, *, /, ^ and parentheses (). The
       string "inf" is parsed as the value infinity. Also,  the	 string	 "com‐
       plexity"	 is recognized, and converted to the complexity for that cate‐
       gory as reported by dbacl(1).  Finally, if  the	corresponding  regular
       expression  contains submatches delimited by parentheses, their numeri‐
       cal values can be used inside the formulas as the special variables $1,
       ...,  $9.  Note that submatches which aren't numerical are converted to
       the value zero.

       Case is important. Spaces and newlines can be liberally inserted.  Com‐
       ments must start with a # and extend to the end of the line.

USAGE
       Typically, bayesol is used together with dbacl(1).  An invocation looks
       like this:

       % dbacl -c one -c two -c three sample.txt -vna | bayesol -c toy.risk -v

       See /usr/local/share/dbacl/doc/costs.ps for a description of the	 algo‐
       rithm  used.   See  also /usr/local/share/dbacl/doc/tutorial.html for a
       more detailed overview.

SOURCE
       The source code for the latest version of this program is available  at
       the following locations:

       http://www.lbreyer.com/gpl.html
       http://dbacl.sourceforge.net

AUTHOR
       Laird A. Breyer <laird@lbreyer.com>

SEE ALSO
       dbacl(1),   mailcross(1),   mailfoot(1),	  mailinspect(1),  mailtoe(1),
       regex(7)

Version 1.14.1		 Bayesian Classification Tools		    BAYESOL(1)
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