1706 lines
		
	
	
		
			48 KiB
		
	
	
	
		
			Prolog
		
	
	
	
	
	
			
		
		
	
	
			1706 lines
		
	
	
		
			48 KiB
		
	
	
	
		
			Prolog
		
	
	
	
	
	
%%% -*- Mode: Prolog; -*-
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%
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%  $Date: 2009-06-17 22:22:00 +0200 (Mi, 17 Jun 2009) $
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%  $Revision: 1550 $
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%
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%  This file is part of ProbLog
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%  http://dtai.cs.kuleuven.be/problog
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%
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%  Copyright 2009 Katholieke Universiteit Leuven
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%
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%  Authors: Luc De Raedt, Bernd Gutmann, Angelika Kimmig,
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%           Vitor Santos Costa
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%
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%                                                                     
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%  Main authors of this file:
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%  Bernd Gutmann
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%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%
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% Artistic License 2.0
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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:- module(learning,[do_learning/1,
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	            do_learning/2,
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	            set_learning_flag/2,
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		    save_model/1,
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		    problog_help/0,
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		    set_problog_flag/2,
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		    problog_flag/2,
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		    problog_flags/0
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		    ]).
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% switch on all the checks to reduce bug searching time
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:- style_check(all).
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:- yap_flag(unknown,error).
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% load modules from the YAP library
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:- use_module(library(lists)).
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:- use_module(library(random),[random/1]).
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:- use_module(library(system),[file_exists/1,
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			       file_property/2,
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			       delete_file/1,
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			       make_directory/1,
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			       working_directory/2,
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			       shell/1,
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	                       shell/2]).
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% load our own modules
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:- use_module(library('problog_learning/logger')).
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:- use_module(library(problog)).
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% used to indicate the state of the system
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:- dynamic values_correct/0.
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:- dynamic learning_initialized/0.
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:- dynamic current_iteration/1.
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:- dynamic example_count/1.
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:- dynamic query_probability_intern/2.
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:- dynamic query_gradient_intern/3.
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:- dynamic last_mse/1.
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% used to identify queries which have identical proofs
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:- dynamic query_is_similar/2.
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:- dynamic query_md5/2.
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% used by set_learning_flag
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:- dynamic init_method/5.
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:- dynamic rebuild_bdds/1.
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:- dynamic rebuild_bdds_it/1.
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:- dynamic reuse_initialized_bdds/1.
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:- dynamic learning_rate/1.
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:- dynamic probability_initializer/3.
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:- dynamic check_duplicate_bdds/1.
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:- dynamic output_directory/1.
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:- dynamic query_directory/1.
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:- dynamic log_frequency/1.
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:- dynamic alpha/1.
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:- dynamic sigmoid_slope/1.
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:- dynamic line_search/1.
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:- dynamic line_search_tolerance/1.
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:- dynamic line_search_tau/1.
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:- dynamic line_search_never_stop/1.
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:- dynamic line_search_interval/2.
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%==========================================================================
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%=  You can set some flags and parameters
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%=
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%=  init_method/5 specifies which ProbLog inference mechanism is used
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%=  to answer queries
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%=
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%=
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%=  if rebuild_bdds(true) is set, the bdds are rebuild after
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%=  each N iterations for rebuild_bdds_it(N) 
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%=
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%=  if reuse_initialized_bdds(true) is set, the bdds which are on the
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%=  harddrive from the previous run of LeProbLog are reused.
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%=  do not use this, when you changed the init method in the meantime
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%=
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%==========================================================================
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set_learning_flag(init_method,(Query,Probability,BDDFile,ProbFile,Call)) :-
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	retractall(init_method(_,_,_,_,_)),
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	assert(init_method(Query,Probability,BDDFile,ProbFile,Call)).
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set_learning_flag(rebuild_bdds,Flag) :-
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	(Flag=true;Flag=false),
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	!,
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	retractall(rebuild_bdds(_)),
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	assert(rebuild_bdds(Flag)).
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set_learning_flag(rebuild_bdds_it,Flag) :-
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	integer(Flag),
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	retractall(rebuild_bdds_it(_)),
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	assert(rebuild_bdds_it(Flag)).
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set_learning_flag(reuse_initialized_bdds,Flag) :-
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	(Flag=true;Flag=false),
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	!,
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	retractall(reuse_initialized_bdds(_)),
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	assert(reuse_initialized_bdds(Flag)).
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set_learning_flag(learning_rate,V) :-
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	(V=examples -> true;(number(V),V>=0)),
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	!,
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	retractall(learning_rate(_)),
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	assert(learning_rate(V)).
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set_learning_flag(probability_initializer,(FactID,Probability,Query)) :-
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	var(FactID),
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	var(Probability),
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	callable(Query),
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	retractall(probability_initializer(_,_,_)),
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	assert(probability_initializer(FactID,Probability,Query)).
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set_learning_flag(check_duplicate_bdds,Flag) :-
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	(Flag=true;Flag=false),
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	!,
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	retractall(check_duplicate_bdds(_)),
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	assert(check_duplicate_bdds(Flag)).
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set_learning_flag(output_directory,Directory) :-
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	(
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	    file_exists(Directory)
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	->
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	    file_property(Directory,type(directory));
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	    make_directory(Directory)
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	),
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	working_directory(PWD,PWD),
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	atomic_concat([PWD,'/',Directory,'/'],Path),
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	atomic_concat([Directory,'/log.dat'],Logfile),
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	retractall(output_directory(_)),
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	assert(output_directory(Path)),
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	logger_set_filename(Logfile),
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	set_problog_flag(dir,Directory).
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set_learning_flag(query_directory,Directory) :-
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	(
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	    file_exists(Directory)
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	->
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	    file_property(Directory,type(directory));
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	    make_directory(Directory)
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	),
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						|
	
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	working_directory(PWD,PWD),
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	atomic_concat([PWD,'/',Directory,'/'],Path),
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	retractall(query_directory(_)),
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	assert(query_directory(Path)).
 | 
						|
 | 
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set_learning_flag(log_frequency,Frequency) :-
 | 
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	integer(Frequency),
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	Frequency>=0,
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	retractall(log_frequency(_)),
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	assert(log_frequency(Frequency)).
 | 
						|
 | 
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set_learning_flag(alpha,Alpha) :-
 | 
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	number(Alpha),
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	retractall(alpha(_)),
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	assert(alpha(Alpha)).
 | 
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set_learning_flag(sigmoid_slope,Slope) :-
 | 
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	number(Slope),
 | 
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	Slope>0,
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	retractall(sigmoid_slope(_)),
 | 
						|
	assert(sigmoid_slope(Slope)).
 | 
						|
 | 
						|
 | 
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set_learning_flag(line_search,Flag) :-
 | 
						|
	(Flag=true;Flag=false),
 | 
						|
	!,
 | 
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	retractall(line_search(_)),
 | 
						|
	assert(line_search(Flag)).
 | 
						|
set_learning_flag(line_search_tolerance,Number) :-
 | 
						|
	number(Number),
 | 
						|
	Number>0,
 | 
						|
	retractall(line_search_tolerance(_)),
 | 
						|
	assert(line_search_tolerance(Number)).
 | 
						|
set_learning_flag(line_search_interval,(L,R)) :-
 | 
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	number(L),
 | 
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	number(R),
 | 
						|
	L<R,
 | 
						|
	retractall(line_search_interval(_,_)),
 | 
						|
	assert(line_search_interval(L,R)).
 | 
						|
set_learning_flag(line_search_tau,Number) :-
 | 
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	number(Number),
 | 
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	Number>0,
 | 
						|
	retractall(line_search_tau(_)),
 | 
						|
	assert(line_search_tau(Number)).
 | 
						|
set_learning_flag(line_search_never_stop,Flag) :-
 | 
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	(Flag=true;Flag=false),
 | 
						|
	!,
 | 
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	retractall(line_search_nerver_stop(_)),
 | 
						|
	assert(line_search_never_stop(Flag)).
 | 
						|
 | 
						|
 | 
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%========================================================================
 | 
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%= store the facts with the learned probabilities to a file
 | 
						|
%= if F is a variable, a filename based on the current iteration is used
 | 
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%=
 | 
						|
%========================================================================
 | 
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save_model(F) :-
 | 
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	(
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	    var(F)
 | 
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	->  
 | 
						|
	    (
 | 
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		current_iteration(Iteration),
 | 
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		output_directory(Directory),
 | 
						|
		atomic_concat([Directory,'factprobs_',Iteration,'.pl'],F)
 | 
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	    );true
 | 
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	),
 | 
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	export_facts(F).
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= store the probabilities for all training and test examples
 | 
						|
%= if F is a variable, a filename based on the current iteration is used
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
save_predictions(F) :-
 | 
						|
	update_values,
 | 
						|
 | 
						|
	current_iteration(Iteration),
 | 
						|
 | 
						|
	(
 | 
						|
	    var(F)
 | 
						|
	->  
 | 
						|
	    (
 | 
						|
		current_iteration(Iteration),
 | 
						|
		output_directory(Directory),
 | 
						|
		atomic_concat([Directory,'predictions_',Iteration,'.pl'],F)
 | 
						|
	    );true
 | 
						|
	),
 | 
						|
 | 
						|
	open(F,'append',Handle),
 | 
						|
	format(Handle,"%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n",[]),
 | 
						|
	format(Handle,"% Iteration, train/test, QueryID, Query, GroundTruth, Prediction %\n",[]),
 | 
						|
	format(Handle,"%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n",[]),
 | 
						|
	!,
 | 
						|
 | 
						|
	( % go over all training examples
 | 
						|
	    current_predicate(user:example/3),
 | 
						|
	    user:example(Query_ID,Query,TrueQueryProb),
 | 
						|
	    query_probability(Query_ID,LearnedQueryProb),
 | 
						|
 | 
						|
	    format(Handle,'ex(~q,train,~q,~q,~10f,~10f).\n',
 | 
						|
		   [Iteration,Query_ID,Query,TrueQueryProb,LearnedQueryProb]),
 | 
						|
 | 
						|
	    fail; % go to next training example
 | 
						|
	    true
 | 
						|
	),
 | 
						|
	
 | 
						|
	( % go over all test examples
 | 
						|
	   current_predicate(user:test_example/3),
 | 
						|
	   user:test_example(Query_ID,Query,TrueQueryProb),
 | 
						|
	   query_probability(Query_ID,LearnedQueryProb),
 | 
						|
 | 
						|
	   format(Handle,'ex(~q,test,~q,~q,~10f,~10f).\n',
 | 
						|
	   [Iteration,Query_ID,Query,TrueQueryProb,LearnedQueryProb]),
 | 
						|
 | 
						|
	   fail; % go to next test example
 | 
						|
	   true
 | 
						|
        ),
 | 
						|
	format(Handle,'~3n',[]),
 | 
						|
	close(Handle).
 | 
						|
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= find out whether some example IDs are used more than once
 | 
						|
%= if so, complain and stop
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
check_examples :-
 | 
						|
	(
 | 
						|
	    (
 | 
						|
		(current_predicate(user:example/3),user:example(ID,_,_), \+ atomic(ID)) ;
 | 
						|
		(current_predicate(user:test_example/3),user:test_example(ID,_,_), \+ atomic(ID))
 | 
						|
	    )
 | 
						|
	->
 | 
						|
	    (
 | 
						|
		format(user_error,'The example id of example ~q is not atomic (e.g foo42, 23, bar, ...).~n',[ID]),
 | 
						|
		throw(error(examples))
 | 
						|
	    ); true
 | 
						|
	),
 | 
						|
 | 
						|
	(
 | 
						|
	    (
 | 
						|
		(current_predicate(user:example/3),user:example(ID,_,P), (\+ number(P); P>1 ; P<0));
 | 
						|
		(current_predicate(user:test_example/3),user:test_example(ID,_,P), (\+ number(P) ;  P>1 ; P<0))
 | 
						|
	    )
 | 
						|
	->
 | 
						|
	    (
 | 
						|
		format(user_error,'The example ~q does not have a valid probaility value (~q).~n',[ID,P]),
 | 
						|
		throw(error(examples))
 | 
						|
	    ); true
 | 
						|
	),
 | 
						|
 | 
						|
 | 
						|
	(
 | 
						|
	    (
 | 
						|
		(
 | 
						|
		    current_predicate(user:example/3),
 | 
						|
		    user:example(ID,QueryA,_),
 | 
						|
		    user:example(ID,QueryB,_),
 | 
						|
		    QueryA \= QueryB
 | 
						|
		) ;
 | 
						|
	
 | 
						|
		(
 | 
						|
		    current_predicate(user:test_example/3),
 | 
						|
		    user:test_example(ID,QueryA,_),
 | 
						|
		    user:test_example(ID,QueryB,_),
 | 
						|
		    QueryA \= QueryB
 | 
						|
		);
 | 
						|
 | 
						|
		(
 | 
						|
		    current_predicate(user:example/3),
 | 
						|
		    current_predicate(user:test_example/3),
 | 
						|
		    user:example(ID,QueryA,_),
 | 
						|
		    user:test_example(ID,QueryB,_),
 | 
						|
		    QueryA \= QueryB
 | 
						|
		)
 | 
						|
	    )
 | 
						|
	->
 | 
						|
	   (
 | 
						|
	        format(user_error,'The example id ~q is used several times.~n',[ID]),
 | 
						|
		throw(error(examples))
 | 
						|
	    ); true
 | 
						|
	).
 | 
						|
 | 
						|
 | 
						|
	    
 | 
						|
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= initialize everything and perform Iterations times gradient descent
 | 
						|
%= can be called several times
 | 
						|
%= if it is called with an epsilon parameter, it stops when the change
 | 
						|
%= in the MSE is smaller than epsilon
 | 
						|
%========================================================================
 | 
						|
 | 
						|
do_learning(Iterations) :-
 | 
						|
	integer(Iterations),
 | 
						|
	
 | 
						|
	( 
 | 
						|
	    current_predicate(user:example/3)
 | 
						|
	->
 | 
						|
	    true;
 | 
						|
	    format(user_error,'~n~nWarning: No training examples specified !!!~n~n',[])
 | 
						|
	),
 | 
						|
 | 
						|
	do_learning_intern(Iterations,-1).
 | 
						|
 | 
						|
do_learning(Iterations,Epsilon) :-
 | 
						|
	integer(Iterations),
 | 
						|
	float(Epsilon),
 | 
						|
 | 
						|
	Iterations>0,
 | 
						|
	Epsilon>0.0,
 | 
						|
 | 
						|
	( 
 | 
						|
	    current_predicate(user:example/3)
 | 
						|
	->
 | 
						|
	    true;
 | 
						|
	    format(user_error,'~n~nWarning: No training examples specified !!!~n~n',[])
 | 
						|
	),
 | 
						|
 | 
						|
	do_learning_intern(Iterations,Epsilon).
 | 
						|
 | 
						|
	
 | 
						|
 | 
						|
 | 
						|
 | 
						|
 | 
						|
 | 
						|
do_learning_intern(Iterations,Epsilon) :-
 | 
						|
	(
 | 
						|
	    Iterations=0
 | 
						|
	->
 | 
						|
	    true;
 | 
						|
	    (
 | 
						|
		Iterations>0,
 | 
						|
 | 
						|
		% nothing will happen, if we're already initialized
 | 
						|
		init_learning,
 | 
						|
		current_iteration(OldIteration),
 | 
						|
		!,
 | 
						|
		retractall(current_iteration(_)),
 | 
						|
		!,
 | 
						|
		CurrentIteration is OldIteration+1,
 | 
						|
		assert(current_iteration(CurrentIteration)),
 | 
						|
		EndIteration is OldIteration+Iterations,
 | 
						|
		
 | 
						|
		format('~n Iteration ~d of ~d~n',[CurrentIteration,EndIteration]),
 | 
						|
		logger_set_variable(iteration,CurrentIteration),
 | 
						|
 | 
						|
		logger_start_timer(duration),
 | 
						|
		gradient_descent,
 | 
						|
 | 
						|
		(
 | 
						|
		    (rebuild_bdds(true),rebuild_bdds_it(BDDFreq),0 =:= CurrentIteration mod BDDFreq)
 | 
						|
		->
 | 
						|
		    (
 | 
						|
			once(delete_all_queries),
 | 
						|
			once(init_queries)
 | 
						|
		    ); true
 | 
						|
		),
 | 
						|
 | 
						|
 | 
						|
		mse_trainingset,
 | 
						|
		mse_testset,
 | 
						|
		
 | 
						|
		(
 | 
						|
		    last_mse(Last_MSE)
 | 
						|
		->
 | 
						|
		    (
 | 
						|
			retractall(last_mse(_)),
 | 
						|
			logger_get_variable(mse_trainingset,Current_MSE),
 | 
						|
			assert(last_mse(Current_MSE)),
 | 
						|
			!,
 | 
						|
			MSE_Diff is abs(Last_MSE-Current_MSE)
 | 
						|
		    );  (
 | 
						|
		        logger_get_variable(mse_trainingset,Current_MSE),
 | 
						|
			assert(last_mse(Current_MSE)), 
 | 
						|
			MSE_Diff is Epsilon+1
 | 
						|
		    )
 | 
						|
		),
 | 
						|
 | 
						|
		!,
 | 
						|
		logger_stop_timer(duration),
 | 
						|
		once(ground_truth_difference),
 | 
						|
 | 
						|
		logger_write_data,
 | 
						|
 | 
						|
 | 
						|
		log_frequency(Log_Frequency),
 | 
						|
		
 | 
						|
		(
 | 
						|
		    ( Log_Frequency=0; 0 =:= CurrentIteration mod Log_Frequency)
 | 
						|
		->
 | 
						|
		   (
 | 
						|
		       save_predictions(_X),
 | 
						|
		       save_model(_Y)
 | 
						|
		   );
 | 
						|
		   true
 | 
						|
	        ),
 | 
						|
		RemainingIterations is Iterations-1,
 | 
						|
 | 
						|
		(
 | 
						|
		    MSE_Diff>Epsilon
 | 
						|
		->
 | 
						|
		    do_learning_intern(RemainingIterations,Epsilon);
 | 
						|
		    true
 | 
						|
		)
 | 
						|
	    )
 | 
						|
	).
 | 
						|
	    
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= find proofs and build bdds for all training and test examples
 | 
						|
%=
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
init_learning :-
 | 
						|
	(
 | 
						|
	    learning_initialized
 | 
						|
	->  
 | 
						|
	    true;
 | 
						|
	    (
 | 
						|
		
 | 
						|
		check_examples,
 | 
						|
 | 
						|
 | 
						|
		format('Delete previous logs (if existing) from output directory~2n',[]),
 | 
						|
		empty_output_directory,
 | 
						|
 | 
						|
		format('Initializing everything~n',[]),
 | 
						|
 | 
						|
 | 
						|
                %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
		% Delete the BDDs from the previous run if they should
 | 
						|
	        % not be reused
 | 
						|
                %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
 | 
						|
 | 
						|
	        (
 | 
						|
		    (reuse_initialized_bdds(false);rebuild_bdds(true))
 | 
						|
		->
 | 
						|
		    delete_all_queries;
 | 
						|
		    true
 | 
						|
		),
 | 
						|
 | 
						|
 | 
						|
		logger_write_header,
 | 
						|
		logger_start_timer(duration),
 | 
						|
		logger_set_variable(iteration,0),
 | 
						|
 | 
						|
                %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
		% start count examples
 | 
						|
                %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	        bb_put(training_examples,0),
 | 
						|
	        ( % go over all training examples
 | 
						|
		    current_predicate(user:example/3),
 | 
						|
		    user:example(_,_,_),
 | 
						|
		    bb_get(training_examples, OldCounter),
 | 
						|
		    NewCounter is OldCounter+1,
 | 
						|
		    bb_put(training_examples,NewCounter),
 | 
						|
		    fail;
 | 
						|
		    true
 | 
						|
		),
 | 
						|
 | 
						|
	        bb_put(test_examples,0),
 | 
						|
	        ( % go over all test examples
 | 
						|
		    current_predicate(user:test_example/3),
 | 
						|
		    user:test_example(_,_,_),
 | 
						|
		    bb_get(test_examples, OldCounter),
 | 
						|
		    NewCounter is OldCounter+1,
 | 
						|
		    bb_put(test_examples,NewCounter),
 | 
						|
		    fail;
 | 
						|
		    true
 | 
						|
		),
 | 
						|
                %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
		% stop count examples
 | 
						|
                %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	        !,
 | 
						|
 | 
						|
		bb_delete(training_examples,TrainingExampleCount),
 | 
						|
		bb_delete(test_examples,TestExampleCount),
 | 
						|
 | 
						|
		assert(example_count(TrainingExampleCount)),
 | 
						|
 | 
						|
		(
 | 
						|
		    learning_rate(examples)
 | 
						|
		->
 | 
						|
		    set_learning_flag(learning_rate,TrainingExampleCount);
 | 
						|
		    true
 | 
						|
		),
 | 
						|
		learning_rate(Learning_Rate),
 | 
						|
		format('~q training examples found.~n~q test examples found.~nlearning rate=~f~n~n',
 | 
						|
		[TrainingExampleCount,TestExampleCount,Learning_Rate]),
 | 
						|
		format('Generate BDDs for all queries in the training and test set~n',[]),
 | 
						|
		initialize_fact_probabilities,
 | 
						|
		init_queries,
 | 
						|
 | 
						|
		format('All Queries have been generated~n',[]),
 | 
						|
		mse_trainingset,
 | 
						|
		mse_testset,
 | 
						|
 | 
						|
		!,
 | 
						|
		logger_stop_timer(duration),
 | 
						|
 | 
						|
		ground_truth_difference,
 | 
						|
 | 
						|
		logger_write_data,
 | 
						|
		assert(current_iteration(0)),
 | 
						|
		assert(learning_initialized),
 | 
						|
		save_model(_),save_predictions(_)
 | 
						|
 | 
						|
	    )
 | 
						|
	).
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= 
 | 
						|
%= 
 | 
						|
%= 
 | 
						|
%========================================================================
 | 
						|
 | 
						|
 | 
						|
 | 
						|
delete_all_queries :-
 | 
						|
	query_directory(Directory),
 | 
						|
	atomic_concat(['rm -f ',Directory,'query_*'],Command),
 | 
						|
	(shell(Command) -> true; true),
 | 
						|
	retractall(query_is_similar(_,_)),
 | 
						|
	retractall(query_md5(_,_)).
 | 
						|
 | 
						|
empty_output_directory :-
 | 
						|
	output_directory(Directory),
 | 
						|
	atomic_concat(['rm -f ',Directory,'log.dat ',
 | 
						|
                                Directory,'factprobs_*.pl ',
 | 
						|
				Directory,'predictions_*.pl'],Command),
 | 
						|
	(shell(Command) -> true; true).
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= This predicate goes over all training and test examples,
 | 
						|
%= calls the inference method of ProbLog and stores the resulting
 | 
						|
%= BDDs
 | 
						|
%========================================================================
 | 
						|
 | 
						|
 | 
						|
init_queries :-
 | 
						|
 | 
						|
	( % go over all training examples
 | 
						|
	    current_predicate(user:example/3),
 | 
						|
	    user:example(ID,Query,Prob),
 | 
						|
	    format('~n~n training example ~q: ~q~n',[ID,Query]),
 | 
						|
	    flush_output(user),
 | 
						|
	    init_one_query(ID,Query),
 | 
						|
	    fail; %go to next training example
 | 
						|
 | 
						|
	    true
 | 
						|
	),
 | 
						|
 | 
						|
	( % go over all test examples
 | 
						|
	    current_predicate(user:test_example/3),
 | 
						|
	    user:test_example(ID,Query,Prob),
 | 
						|
	    format('~n~n test example ~q: ~q~n',[ID,Query]),
 | 
						|
	    flush_output(user),
 | 
						|
	    init_one_query(ID,Query),
 | 
						|
	    fail; % go to next test example
 | 
						|
 | 
						|
	    true
 | 
						|
	).
 | 
						|
 | 
						|
init_one_query(QueryID,Query) :-
 | 
						|
	output_directory(Output_Directory),
 | 
						|
	query_directory(Query_Directory),
 | 
						|
 | 
						|
	atomic_concat([Query_Directory,'query_',QueryID],Filename),
 | 
						|
	atomic_concat([Output_Directory,'input.txt'],Filename2),
 | 
						|
	atomic_concat([Output_Directory,'tmp_md5'],Filename3),
 | 
						|
 | 
						|
	    (
 | 
						|
		file_exists(Filename)
 | 
						|
	    ->
 | 
						|
		format('Reuse existing BDD ~q~n~n',[Filename]);
 | 
						|
		(
 | 
						|
		    init_method(Query,_Prob,Filename,Filename2,InitCall),
 | 
						|
		    once(call(InitCall)),
 | 
						|
		    delete_file(Filename2)
 | 
						|
	        )
 | 
						|
	    ),
 | 
						|
 | 
						|
	    (
 | 
						|
		check_duplicate_bdds(true)
 | 
						|
	    ->
 | 
						|
	        (
 | 
						|
		    % calculate the md5sum of the bdd script file
 | 
						|
		    atomic_concat(['cat ',Filename,' | md5sum | sed "s/ .*$/\')./"  | sed "s/^/md5(\'/"> ',Filename3],MD5Command),
 | 
						|
 | 
						|
		    (shell(MD5Command,0) -> true; throw(error("Something wrong with calculating the MD5 value"))),
 | 
						|
 | 
						|
		    open(Filename3, read, Handle),
 | 
						|
		    read(Handle,md5(Query_MD5)),
 | 
						|
		    close(Handle),
 | 
						|
 | 
						|
		    delete_file(Filename3),
 | 
						|
	
 | 
						|
        	    % Does another query exists which already has this MD5?
 | 
						|
		    (
 | 
						|
			query_md5(OtherQueryID,Query_MD5)
 | 
						|
		    ->
 | 
						|
			% yippie! we can save a lot of work
 | 
						|
	                ( 
 | 
						|
			    assert(query_is_similar(QueryID,OtherQueryID)),
 | 
						|
			    format('~q is similar to ~q~2n', [QueryID,OtherQueryID])
 | 
						|
			); assert(query_md5(QueryID,Query_MD5))
 | 
						|
		    )
 | 
						|
		);
 | 
						|
 | 
						|
		true
 | 
						|
	    ).
 | 
						|
		
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= set all unknown fact probabilities to random values
 | 
						|
%=
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
initialize_fact_probabilities :-
 | 
						|
	( % go over all tunable facts
 | 
						|
	    tunable_fact(FactID,_),
 | 
						|
 | 
						|
	    probability_initializer(FactID,Probability,Query),
 | 
						|
	    once(call(Query)),
 | 
						|
	    set_fact_probability(FactID,Probability),
 | 
						|
 | 
						|
 | 
						|
	    fail; % go to next tunable fact
 | 
						|
	    
 | 
						|
	    true
 | 
						|
	).
 | 
						|
 | 
						|
random_probability(_FactID,Probability) :-
 | 
						|
	% use probs around 0.5 to not confuse k-best search
 | 
						|
	random(Random),
 | 
						|
	Probability is 0.5+(Random-0.5)/100.
 | 
						|
	
 | 
						|
 | 
						|
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= updates all values of query_probability/2 and query_gradient/3
 | 
						|
%= should be called always before these predicates are accessed
 | 
						|
%= if the old values are still valid, nothing happens
 | 
						|
%========================================================================
 | 
						|
 | 
						|
update_values :-
 | 
						|
	update_values(all).
 | 
						|
 | 
						|
 | 
						|
update_values(_) :-
 | 
						|
	values_correct,
 | 
						|
	!.
 | 
						|
 | 
						|
update_values(What_To_Update) :-
 | 
						|
	\+ values_correct,
 | 
						|
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% delete old values
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	once(retractall(query_probability_intern(_,_))),
 | 
						|
	once(retractall(query_gradient_intern(_,_,_))),
 | 
						|
 | 
						|
 | 
						|
	output_directory(Directory),
 | 
						|
	atomic_concat(Directory,'input.txt',Input_Filename),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% start write current probabilities to file
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	open(Input_Filename,'write',Handle),
 | 
						|
 | 
						|
	( % go over all probabilistic fact
 | 
						|
	    get_fact_probability(ID,Prob),
 | 
						|
	    inv_sigmoid(Prob,Value),
 | 
						|
	    (
 | 
						|
		non_ground_fact(ID)
 | 
						|
	    ->
 | 
						|
	        format(Handle,'@x~q_*~n~10f~n',[ID,Value]);
 | 
						|
		format(Handle,'@x~q~n~10f~n',[ID,Value])
 | 
						|
	    ),
 | 
						|
 | 
						|
	    fail; % go to next probabilistic fact
 | 
						|
	    true
 | 
						|
	),
 | 
						|
 | 
						|
	close(Handle),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% stop write current probabilities to file
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	!,
 | 
						|
 | 
						|
 | 
						|
 | 
						|
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% start update values for all test examples
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
        ( What_To_Update = all
 | 
						|
          ->
 | 
						|
             ( % go over all training examples
 | 
						|
		 current_predicate(user:test_example/3),
 | 
						|
		 user:test_example(QueryID,_Query,_QueryProb),
 | 
						|
		 once(call_bdd_tool(QueryID,'+',all)),
 | 
						|
		 fail; % go to next training example
 | 
						|
		 true
 | 
						|
	     ); true
 | 
						|
	 ),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% stop update values for all test examples
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	!,
 | 
						|
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% start update values for all training examples
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	( % go over all training examples
 | 
						|
	    current_predicate(user:example/3),
 | 
						|
	    user:example(QueryID,_Query,_QueryProb),
 | 
						|
	    once(call_bdd_tool(QueryID,'.',What_To_Update)),
 | 
						|
	    fail; % go to next training example
 | 
						|
	    true
 | 
						|
	),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% stop update values for all training examples
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	!,
 | 
						|
 | 
						|
 | 
						|
	nl,
 | 
						|
 | 
						|
	delete_file(Input_Filename),
 | 
						|
	assert(values_correct).
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%=
 | 
						|
%=
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
 | 
						|
call_bdd_tool(QueryID,Symbol,What_To_Update) :-
 | 
						|
	output_directory(Output_Directory),
 | 
						|
	query_directory(Query_Directory),
 | 
						|
	(
 | 
						|
	    query_is_similar(QueryID,_)
 | 
						|
	->
 | 
						|
	    % we don't have to evaluate the BDD
 | 
						|
	    write('#');
 | 
						|
	    (
 | 
						|
		sigmoid_slope(Slope),
 | 
						|
		problog_dir(PD),
 | 
						|
		(What_To_Update=all -> Method='g' ; Method='l'),
 | 
						|
		atomic_concat([PD,
 | 
						|
				'/ProblogBDD -i "',
 | 
						|
		                  Output_Directory,
 | 
						|
				  'input.txt',
 | 
						|
				  '" -l "',
 | 
						|
			          Query_Directory,
 | 
						|
			          'query_',
 | 
						|
				  QueryID,
 | 
						|
				  '" -m ',Method,' -id ',
 | 
						|
				  QueryID,
 | 
						|
				  ' -sl ',Slope,
 | 
						|
				  ' > "',
 | 
						|
				  Output_Directory,
 | 
						|
				  'values.pl"'],Command),
 | 
						|
		shell(Command,Error),
 | 
						|
	     
 | 
						|
	 	atomic_concat([' cat "',
 | 
						|
				  Output_Directory,
 | 
						|
				  'values.pl" >> ~/all_results'],Command2),
 | 
						|
	       shell(Command2),
 | 
						|
		(
 | 
						|
		    Error = 2
 | 
						|
		->
 | 
						|
		    throw(error('SimpleCUDD has been interrupted.'));
 | 
						|
		    true
 | 
						|
		),
 | 
						|
		(
 | 
						|
		    Error \= 0
 | 
						|
		->
 | 
						|
		    throw(bdd_error(QueryID,Error));
 | 
						|
		    true
 | 
						|
		),
 | 
						|
		atomic_concat([Output_Directory,'values.pl'],Values_Filename),
 | 
						|
	     (
 | 
						|
	      file_exists(Values_Filename)
 | 
						|
	     ->
 | 
						|
	      (
 | 
						|
	       (
 | 
						|
		once(my_load(Values_Filename))
 | 
						|
	       ->
 | 
						|
		true;
 | 
						|
		(
 | 
						|
		 format(user_error,'ERROR: Tried to read the file ~q but my_load/1 fails.~n~q.~2n',[Values_Filename,call_bdd_tool(QueryID,Symbol,What_To_Update)]),
 | 
						|
		 throw(error(my_load_fails))
 | 
						|
		)	 
 | 
						|
	      );
 | 
						|
	      (
 | 
						|
	       format(user_error,'ERROR: Tried to read the file ~q but it does not exist.~n~q.~2n',[Values_Filename,call_bdd_tool(QueryID,Symbol,What_To_Update)]),
 | 
						|
	       throw(error(output_file_does_not_exist))
 | 
						|
	      )
 | 
						|
	     )
 | 
						|
	     ),
 | 
						|
		      
 | 
						|
		delete_file(Values_Filename),
 | 
						|
		write(Symbol)
 | 
						|
	    )
 | 
						|
	),
 | 
						|
	flush_output(user).
 | 
						|
	    
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%=
 | 
						|
%=
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
my_load(File) :-
 | 
						|
	see(File),
 | 
						|
	read(X),
 | 
						|
	my_load_intern(X),
 | 
						|
	seen.
 | 
						|
my_load_intern(end_of_file) :-
 | 
						|
	!.
 | 
						|
my_load_intern(query_probability(QueryID,Prob)) :-
 | 
						|
	!,
 | 
						|
	assert(query_probability_intern(QueryID,Prob)),
 | 
						|
	read(X2),
 | 
						|
	my_load_intern(X2).
 | 
						|
my_load_intern(query_gradient(QueryID,XFactID,Value)) :-
 | 
						|
	!,
 | 
						|
	atomic_concat(x,StringFactID,XFactID),
 | 
						|
	atom_number(StringFactID,FactID),
 | 
						|
	assert(query_gradient_intern(QueryID,FactID,Value)),
 | 
						|
	read(X2),
 | 
						|
	my_load_intern(X2).
 | 
						|
my_load_intern(X) :-
 | 
						|
	format(user_error,'Unknown atom ~q in results file.~n',[X]),
 | 
						|
	read(X2),
 | 
						|
	my_load_intern(X2).
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%=
 | 
						|
%=
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
query_probability(QueryID,Prob) :-
 | 
						|
	(
 | 
						|
	    query_probability_intern(QueryID,Prob)
 | 
						|
	->
 | 
						|
	    true;
 | 
						|
	    (
 | 
						|
		query_is_similar(QueryID,OtherQueryID),
 | 
						|
		query_probability_intern(OtherQueryID,Prob)
 | 
						|
	    )
 | 
						|
	).
 | 
						|
query_gradient(QueryID,Fact,Value) :-
 | 
						|
	(
 | 
						|
	    query_gradient_intern(QueryID,Fact,Value)
 | 
						|
	->
 | 
						|
	    true;
 | 
						|
	    (
 | 
						|
		query_is_similar(QueryID,OtherQueryID),
 | 
						|
		query_gradient_intern(OtherQueryID,Fact,Value)
 | 
						|
	    )
 | 
						|
	).
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%=
 | 
						|
%=
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
 | 
						|
ground_truth_difference :-
 | 
						|
	findall(Diff,(tunable_fact(FactID,GroundTruth),
 | 
						|
		      \+ var(GroundTruth),
 | 
						|
		      get_fact_probability(FactID,Prob),
 | 
						|
		      Diff is abs(GroundTruth-Prob)),AllDiffs),
 | 
						|
 | 
						|
	% if no ground truth was specified for facts
 | 
						|
	% set everything to zero
 | 
						|
	(
 | 
						|
	    AllDiffs=[]
 | 
						|
	->
 | 
						|
	    (
 | 
						|
		MinDiff=0.0,
 | 
						|
		MaxDiff=0.0,
 | 
						|
		DiffMean=0.0
 | 
						|
	    ) ; (
 | 
						|
		length(AllDiffs,Len),
 | 
						|
		sum_list(AllDiffs,AllDiffsSum),
 | 
						|
		min_list(AllDiffs,MinDiff),
 | 
						|
		max_list(AllDiffs,MaxDiff),
 | 
						|
 | 
						|
		DiffMean is AllDiffsSum/Len
 | 
						|
	    )
 | 
						|
	),
 | 
						|
 | 
						|
	logger_set_variable(ground_truth_diff,DiffMean),
 | 
						|
	logger_set_variable(ground_truth_mindiff,MinDiff),
 | 
						|
	logger_set_variable(ground_truth_maxdiff,MaxDiff).
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= Calculates the mse of training and test data
 | 
						|
%=
 | 
						|
%= -Float
 | 
						|
%========================================================================
 | 
						|
 | 
						|
mse_trainingset_only_for_linesearch(MSE) :-
 | 
						|
	(
 | 
						|
	    current_predicate(user:example/3)
 | 
						|
	-> 
 | 
						|
	    (
 | 
						|
		update_values(probabilities),
 | 
						|
		findall(SquaredError,
 | 
						|
		        (user:example(QueryID,_Query,QueryProb),
 | 
						|
			query_probability(QueryID,CurrentProb),
 | 
						|
			SquaredError is (CurrentProb-QueryProb)**2),
 | 
						|
			AllSquaredErrors),
 | 
						|
 | 
						|
		length(AllSquaredErrors,Length),
 | 
						|
		sum_list(AllSquaredErrors,SumAllSquaredErrors),
 | 
						|
		MSE is SumAllSquaredErrors/Length
 | 
						|
	    ); true
 | 
						|
	),
 | 
						|
	retractall(values_correct).
 | 
						|
 | 
						|
% calculate the mse of the training data
 | 
						|
mse_trainingset :-
 | 
						|
	(
 | 
						|
	    current_predicate(user:example/3)
 | 
						|
	-> 
 | 
						|
	    (
 | 
						|
		update_values,
 | 
						|
		findall(SquaredError,
 | 
						|
		        (user:example(QueryID,_Query,QueryProb),
 | 
						|
			query_probability(QueryID,CurrentProb),
 | 
						|
			SquaredError is (CurrentProb-QueryProb)**2),
 | 
						|
			AllSquaredErrors),
 | 
						|
 | 
						|
		length(AllSquaredErrors,Length),
 | 
						|
		sum_list(AllSquaredErrors,SumAllSquaredErrors),
 | 
						|
		min_list(AllSquaredErrors,MinError),
 | 
						|
		max_list(AllSquaredErrors,MaxError),
 | 
						|
		MSE is SumAllSquaredErrors/Length,
 | 
						|
 | 
						|
		logger_set_variable(mse_trainingset,MSE),
 | 
						|
		logger_set_variable(mse_min_trainingset,MinError),
 | 
						|
		logger_set_variable(mse_max_trainingset,MaxError)
 | 
						|
	    ); true
 | 
						|
	).
 | 
						|
 | 
						|
 | 
						|
 | 
						|
mse_testset :-
 | 
						|
	(
 | 
						|
	    current_predicate(user:test_example/3)
 | 
						|
	->
 | 
						|
	    (
 | 
						|
		update_values,
 | 
						|
		findall(SquaredError,
 | 
						|
			 (user:test_example(QueryID,_Query,QueryProb),
 | 
						|
			  query_probability(QueryID,CurrentProb),
 | 
						|
			  SquaredError is (CurrentProb-QueryProb)**2),
 | 
						|
			AllSquaredErrors),
 | 
						|
 | 
						|
		length(AllSquaredErrors,Length),
 | 
						|
		sum_list(AllSquaredErrors,SumAllSquaredErrors),
 | 
						|
		min_list(AllSquaredErrors,MinError),
 | 
						|
		max_list(AllSquaredErrors,MaxError),
 | 
						|
		MSE is SumAllSquaredErrors/Length,
 | 
						|
 | 
						|
		logger_set_variable(mse_testset,MSE),
 | 
						|
		logger_set_variable(mse_min_testset,MinError),
 | 
						|
		logger_set_variable(mse_max_testset,MaxError)
 | 
						|
	     ); true
 | 
						|
	 ).
 | 
						|
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= Calculates the sigmoid function respectivly the inverse of it
 | 
						|
%= warning: applying inv_sigmoid to 0.0 or 1.0 will yield +/-inf
 | 
						|
%=
 | 
						|
%= +Float, -Float
 | 
						|
%========================================================================
 | 
						|
 | 
						|
sigmoid(T,Sig) :-
 | 
						|
	sigmoid_slope(Slope),
 | 
						|
	Sig is 1/(1+exp(-T*Slope)).
 | 
						|
 | 
						|
inv_sigmoid(T,InvSig) :-
 | 
						|
	sigmoid_slope(Slope),
 | 
						|
	InvSig is -log(1/T-1)/Slope.
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= this functions truncates probabilities too close to 1.0 or 0.0
 | 
						|
%= the reason is, applying the inverse sigmoid function would yield +/- inf
 | 
						|
%= for such extreme values
 | 
						|
%=
 | 
						|
%= +Float, -Float
 | 
						|
%========================================================================
 | 
						|
 | 
						|
secure_probability(Prob,Prob_Secure) :-
 | 
						|
	TMP is max(0.000000001,Prob),
 | 
						|
	Prob_Secure is min(0.999999999,TMP).
 | 
						|
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= Perform one iteration of gradient descent
 | 
						|
%=
 | 
						|
%= assumes that everything is initialized, if the current values
 | 
						|
%= of query_probability/2 and query_gradient/3 are not up to date
 | 
						|
%= they will be recalculated
 | 
						|
%= finally, the values_correct/0 is retracted to signal that the
 | 
						|
%= probabilities of the examples have to be recalculated
 | 
						|
%========================================================================
 | 
						|
 | 
						|
save_old_probabilities :-
 | 
						|
	( % go over all tunable facts
 | 
						|
 | 
						|
	    tunable_fact(FactID,_),
 | 
						|
	    get_fact_probability(FactID,OldProbability),
 | 
						|
	    atomic_concat(['old_prob_',FactID],Key),
 | 
						|
	    bb_put(Key,OldProbability),
 | 
						|
 | 
						|
	    fail; % go to next tunable fact
 | 
						|
	    true
 | 
						|
	).
 | 
						|
 | 
						|
forget_old_values :-	
 | 
						|
	( % go over all tunable facts
 | 
						|
 | 
						|
	    tunable_fact(FactID,_),
 | 
						|
	    atomic_concat(['old_prob_',FactID],Key),
 | 
						|
	    atomic_concat(['grad_',FactID],Key2),
 | 
						|
	    bb_delete(Key,_),
 | 
						|
	    bb_delete(Key2,_),
 | 
						|
 | 
						|
	    fail; % go to next tunable fact
 | 
						|
	    true
 | 
						|
	).
 | 
						|
 | 
						|
add_gradient(Learning_Rate) :-
 | 
						|
	( % go over all tunable facts
 | 
						|
 | 
						|
	    tunable_fact(FactID,_),
 | 
						|
	    atomic_concat(['old_prob_',FactID],Key),
 | 
						|
	    atomic_concat(['grad_',FactID],Key2),
 | 
						|
 | 
						|
	    bb_get(Key,OldProbability),
 | 
						|
	    bb_get(Key2,GradValue),
 | 
						|
 | 
						|
	    inv_sigmoid(OldProbability,OldValue),
 | 
						|
	    NewValue is OldValue -Learning_Rate*GradValue,
 | 
						|
	    sigmoid(NewValue,NewProbability),
 | 
						|
 | 
						|
	    % Prevent "inf" by using values too close to 1.0
 | 
						|
	    secure_probability(NewProbability,NewProbabilityS),
 | 
						|
	    set_fact_probability(FactID,NewProbabilityS),
 | 
						|
 | 
						|
	    fail; % go to next tunable fact
 | 
						|
 | 
						|
	    true
 | 
						|
	),
 | 
						|
	retractall(values_correct).
 | 
						|
 | 
						|
simulate :-
 | 
						|
	L = [0.6,1.0,2.0,3.0,10,50,100,200,300],
 | 
						|
 | 
						|
	findall((X,Y),(member(X,L),line_search_evaluate_point(X,Y)),List),
 | 
						|
	write(List),nl.
 | 
						|
 | 
						|
gradient_descent :-
 | 
						|
 | 
						|
	save_old_probabilities,
 | 
						|
	update_values,
 | 
						|
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% start set gradient to zero
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	(   % go over all tunable facts
 | 
						|
 | 
						|
	    tunable_fact(FactID,_),
 | 
						|
	    atomic_concat(['grad_',FactID],Key),
 | 
						|
	    bb_put(Key,0.0),
 | 
						|
	    fail; % go to next tunable fact
 | 
						|
 | 
						|
	    true
 | 
						|
	),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% stop gradient to zero
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	!,
 | 
						|
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% start calculate gradient
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
        alpha(Alpha),
 | 
						|
	example_count(ExampleCount),
 | 
						|
	(   % go over all training examples
 | 
						|
	    current_predicate(user:example/3),
 | 
						|
	    user:example(QueryID,_Query,QueryProb),
 | 
						|
	    query_probability(QueryID,BDDProb),
 | 
						|
	    (
 | 
						|
		QueryProb=:=0.0
 | 
						|
	    ->
 | 
						|
	        Y2=Alpha;
 | 
						|
		Y2=1.0
 | 
						|
	    ),
 | 
						|
	    Y is Y2*2/ExampleCount * (BDDProb-QueryProb),
 | 
						|
 | 
						|
 | 
						|
	    (   % go over all tunable facts
 | 
						|
 | 
						|
		tunable_fact(FactID,_),
 | 
						|
		atomic_concat(['grad_',FactID],Key),
 | 
						|
		
 | 
						|
		% if the following query fails,
 | 
						|
		% it means, the fact is not used in the proof
 | 
						|
		% of QueryID, and the gradient is 0.0 and will
 | 
						|
		% not contribute to NewValue either way
 | 
						|
		% DON'T FORGET THIS IF YOU CHANGE SOMETHING HERE!
 | 
						|
		query_gradient(QueryID,FactID,GradValue),
 | 
						|
 | 
						|
		bb_get(Key,OldValue),
 | 
						|
		NewValue is OldValue + Y*GradValue,
 | 
						|
		bb_put(Key,NewValue),
 | 
						|
		fail; % go to next fact
 | 
						|
 | 
						|
		true
 | 
						|
	    ),
 | 
						|
	    fail; % go to next training example
 | 
						|
 | 
						|
	    true
 | 
						|
	),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% stop calculate gradient
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	!,
 | 
						|
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% start statistics on gradient
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	findall(V,(tunable_fact(FactID,_),atomic_concat(['grad_',FactID],Key),bb_get(Key,V)),GradientValues),
 | 
						|
 | 
						|
	sum_list(GradientValues,GradSum),
 | 
						|
	max_list(GradientValues,GradMax),
 | 
						|
	min_list(GradientValues,GradMin),
 | 
						|
	length(GradientValues,GradLength),
 | 
						|
	GradMean is GradSum/GradLength,
 | 
						|
 | 
						|
	logger_set_variable(gradient_mean,GradMean),
 | 
						|
	logger_set_variable(gradient_min,GradMin),
 | 
						|
	logger_set_variable(gradient_max,GradMax),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% stop statistics on gradient
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
        
 | 
						|
      
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% start add gradient to current probabilities
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
        (
 | 
						|
	    line_search(false)
 | 
						|
	->
 | 
						|
  	    learning_rate(LearningRate);
 | 
						|
	    lineSearch(LearningRate,_)
 | 
						|
	),
 | 
						|
	format('learning rate = ~12f~n',[LearningRate]),
 | 
						|
	add_gradient(LearningRate),
 | 
						|
	logger_set_variable(learning_rate,LearningRate),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	% stop add gradient to current probabilities
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	!,
 | 
						|
	forget_old_values.
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%=
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
line_search_evaluate_point(Learning_Rate,MSE) :-
 | 
						|
	add_gradient(Learning_Rate),
 | 
						|
	mse_trainingset_only_for_linesearch(MSE).
 | 
						|
 | 
						|
 | 
						|
lineSearch(Final_X,Final_Value) :-
 | 
						|
 | 
						|
	% Get Parameters for line search
 | 
						|
	line_search_tolerance(Tol),	
 | 
						|
	line_search_tau(Tau),
 | 
						|
	line_search_interval(A,B),
 | 
						|
 | 
						|
	format(' Running line search in interval (~5f,~5f)~n',[A,B]),
 | 
						|
	
 | 
						|
	% init values
 | 
						|
	Acc is Tol * (B-A),
 | 
						|
	InitRight is A + Tau*(B-A),
 | 
						|
	InitLeft is A + B - InitRight,
 | 
						|
 | 
						|
	line_search_evaluate_point(A,Value_A),
 | 
						|
	line_search_evaluate_point(B,Value_B),
 | 
						|
	line_search_evaluate_point(InitRight,Value_InitRight),
 | 
						|
	line_search_evaluate_point(InitLeft,Value_InitLeft),
 | 
						|
 | 
						|
	bb_put(line_search_a,A),
 | 
						|
	bb_put(line_search_b,B),
 | 
						|
	bb_put(line_search_left,InitLeft),
 | 
						|
	bb_put(line_search_right,InitRight),
 | 
						|
 | 
						|
	bb_put(line_search_value_a,Value_A),
 | 
						|
	bb_put(line_search_value_b,Value_B),
 | 
						|
	bb_put(line_search_value_left,Value_InitLeft),
 | 
						|
	bb_put(line_search_value_right,Value_InitRight),
 | 
						|
 | 
						|
	bb_put(line_search_iteration,1),
 | 
						|
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	%%%% BEGIN BACK TRACKING
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
        (
 | 
						|
	    repeat, 
 | 
						|
 | 
						|
	    bb_get(line_search_iteration,Iteration),
 | 
						|
	    bb_get(line_search_a,Ak),
 | 
						|
	    bb_get(line_search_b,Bk),
 | 
						|
	    bb_get(line_search_left,Left),
 | 
						|
	    bb_get(line_search_right,Right),
 | 
						|
 | 
						|
	    bb_get(line_search_value_a,Fl),
 | 
						|
	    bb_get(line_search_value_b,Fr),
 | 
						|
	    bb_get(line_search_value_left,FLeft),
 | 
						|
	    bb_get(line_search_value_right,FRight),
 | 
						|
		
 | 
						|
	    write(lineSearch(Iteration,Ak,Fl,Bk,Fr,Left,FLeft,Right,FRight)),nl,
 | 
						|
	
 | 
						|
            (
 | 
						|
		% check for infinity, if there is, go to the left
 | 
						|
		( FLeft >= FRight, \+ FLeft = (+inf), \+ FRight = (+inf) ) 
 | 
						|
            ->
 | 
						|
	        (
 | 
						|
		    AkNew=Left,
 | 
						|
		    FlNew=FLeft,
 | 
						|
		    LeftNew=Right,
 | 
						|
		    FLeftNew=FRight,
 | 
						|
		    RightNew is AkNew + Bk - LeftNew,
 | 
						|
		    line_search_evaluate_point(RightNew,FRightNew),
 | 
						|
		    BkNew=Bk,
 | 
						|
		    FrNew=Fr
 | 
						|
		);
 | 
						|
		(
 | 
						|
		    BkNew=Right,
 | 
						|
		    FrNew=FRight,
 | 
						|
		    RightNew=Left,
 | 
						|
		    FRightNew=FLeft,
 | 
						|
		    LeftNew is Ak + BkNew - RightNew,
 | 
						|
 | 
						|
		    line_search_evaluate_point(LeftNew,FLeftNew),
 | 
						|
		    AkNew=Ak,
 | 
						|
	            FlNew=Fl
 | 
						|
		 )
 | 
						|
             ),
 | 
						|
 | 
						|
	     Next_Iteration is Iteration + 1,
 | 
						|
	     
 | 
						|
	     ActAcc is BkNew -AkNew,
 | 
						|
 | 
						|
	     bb_put(line_search_iteration,Next_Iteration),
 | 
						|
 | 
						|
	     bb_put(line_search_a,AkNew),
 | 
						|
	     bb_put(line_search_b,BkNew),
 | 
						|
	     bb_put(line_search_left,LeftNew),
 | 
						|
	     bb_put(line_search_right,RightNew),
 | 
						|
 | 
						|
	     bb_put(line_search_value_a,FlNew),
 | 
						|
	     bb_put(line_search_value_b,FrNew),
 | 
						|
	     bb_put(line_search_value_left,FLeftNew),
 | 
						|
	     bb_put(line_search_value_right,FRightNew),
 | 
						|
 | 
						|
	     % is the search interval smaller than the tolerance level?
 | 
						|
	     ActAcc < Acc,  
 | 
						|
 | 
						|
	     % apperantly it is, so get me out of here and
 | 
						|
	     % cut away the choice point from repeat
 | 
						|
	     !  
 | 
						|
	),
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	%%%% END BACK TRACKING
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
 | 
						|
        % clean up the blackboard mess
 | 
						|
	bb_delete(line_search_iteration,_),
 | 
						|
	bb_delete(line_search_a,_),
 | 
						|
	bb_delete(line_search_b,_),
 | 
						|
	bb_delete(line_search_left,_),
 | 
						|
	bb_delete(line_search_right,_),
 | 
						|
	bb_delete(line_search_value_a,_),
 | 
						|
	bb_delete(line_search_value_b,_),
 | 
						|
	bb_delete(line_search_value_left,_),
 | 
						|
	bb_delete(line_search_value_right,_),
 | 
						|
 | 
						|
	% it doesn't harm to check also the value in the middle
 | 
						|
	% of the current search interval
 | 
						|
	Middle is (AkNew + BkNew) / 2.0,
 | 
						|
	line_search_evaluate_point(Middle,Value_Middle),	
 | 
						|
 | 
						|
	% return the optimal value
 | 
						|
	my_5_min(Value_Middle,FlNew,FrNew,FLeftNew,FRightNew,
 | 
						|
                 Middle,AkNew,BkNew,LeftNew,RightNew,
 | 
						|
                 Optimal_Value,Optimal_X),
 | 
						|
 | 
						|
	line_search_postcheck(Optimal_Value,Optimal_X,Final_Value,Final_X).
 | 
						|
 | 
						|
line_search_postcheck(V,X,V,X) :-
 | 
						|
	X>0,
 | 
						|
	!.
 | 
						|
line_search_postcheck(V,X,V,X) :-
 | 
						|
	line_search_never_stop(false),
 | 
						|
	!.
 | 
						|
line_search_postcheck(_,_, LLH, FinalPosition) :-
 | 
						|
	line_search_tolerance(Tolerance),
 | 
						|
	line_search_interval(Left,Right),
 | 
						|
 | 
						|
 | 
						|
	Offset is (Right - Left) * Tolerance,
 | 
						|
 | 
						|
	bb_put(line_search_offset,Offset),
 | 
						|
 | 
						|
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
	(
 | 
						|
 | 
						|
 | 
						|
	    repeat,
 | 
						|
	    
 | 
						|
	    bb_get(line_search_offset,OldOffset),
 | 
						|
	    NewOffset is OldOffset * Tolerance,
 | 
						|
	    bb_put(line_search_offset,NewOffset),
 | 
						|
 | 
						|
	    Position is Left + NewOffset,
 | 
						|
	    set_linesearch_weights_calc_llh(Position,LLH),
 | 
						|
	    bb_put(line_search_llh,LLH),
 | 
						|
 | 
						|
      	    write(logAtom(lineSearchPostCheck(Position,LLH))),nl,
 | 
						|
 | 
						|
 | 
						|
	    \+ LLH = (+inf),
 | 
						|
	    !
 | 
						|
	),  % cut away choice point from repeat
 | 
						|
        %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
						|
 | 
						|
	bb_delete(line_search_llh,LLH),
 | 
						|
	bb_delete(line_search_offset,FinalOffset),
 | 
						|
	FinalPosition is Left + FinalOffset.
 | 
						|
	
 | 
						|
	    
 | 
						|
 | 
						|
	
 | 
						|
 | 
						|
 | 
						|
 | 
						|
my_5_min(V1,V2,V3,V4,V5,F1,F2,F3,F4,F5,VMin,FMin) :-
 | 
						|
	(
 | 
						|
	    V1<V2
 | 
						|
	->
 | 
						|
            (VTemp1=V1,FTemp1=F1);
 | 
						|
	    (VTemp1=V2,FTemp1=F2)
 | 
						|
	),
 | 
						|
        (
 | 
						|
	    V3<V4
 | 
						|
	->
 | 
						|
	    (VTemp2=V3,FTemp2=F3);
 | 
						|
            (VTemp2=V4,FTemp2=F4)
 | 
						|
	),
 | 
						|
        (
 | 
						|
	    VTemp1<VTemp2
 | 
						|
	->
 | 
						|
	    (VTemp3=VTemp1,FTemp3=FTemp1);
 | 
						|
            (VTemp3=VTemp2,FTemp3=FTemp2)
 | 
						|
	),
 | 
						|
	(
 | 
						|
	    VTemp3<V5
 | 
						|
	->
 | 
						|
	    (VMin=VTemp3,FMin=FTemp3);
 | 
						|
            (VMin=V5,FMin=F5)
 | 
						|
	).
 | 
						|
	
 | 
						|
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= initialize the logger module and set the flags for learning
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
 | 
						|
global_initialize :-
 | 
						|
	set_learning_flag(output_directory,'./output'),
 | 
						|
	set_learning_flag(query_directory,'./queries'),
 | 
						|
	set_learning_flag(log_frequency,5),
 | 
						|
	set_learning_flag(rebuild_bdds,false),
 | 
						|
	set_learning_flag(rebuild_bdds_it,1),
 | 
						|
	set_learning_flag(reuse_initialized_bdds,false),
 | 
						|
	set_learning_flag(learning_rate,examples),
 | 
						|
	set_learning_flag(check_duplicate_bdds,true),
 | 
						|
	set_learning_flag(probability_initializer,(FactID,P,random_probability(FactID,P))),
 | 
						|
	set_learning_flag(alpha,1.0),
 | 
						|
	set_learning_flag(sigmoid_slope,1.0), % 1.0 gives standard sigmoid
 | 
						|
	set_learning_flag(init_method,(Query,Probability,BDDFile,ProbFile,
 | 
						|
	problog_kbest_save(Query,100,Probability,_Status,BDDFile,ProbFile))),
 | 
						|
	set_learning_flag(line_search,false),
 | 
						|
	set_learning_flag(line_search_never_stop,true),
 | 
						|
	set_learning_flag(line_search_tau,0.618033988749895),
 | 
						|
	set_learning_flag(line_search_tolerance,0.05),
 | 
						|
	set_learning_flag(line_search_interval,(0,100)),
 | 
						|
 | 
						|
	logger_define_variable(iteration, int),
 | 
						|
	logger_define_variable(duration,time),
 | 
						|
	logger_define_variable(mse_trainingset,float),
 | 
						|
	logger_define_variable(mse_min_trainingset,float),
 | 
						|
	logger_define_variable(mse_max_trainingset,float),
 | 
						|
	logger_define_variable(mse_testset,float),
 | 
						|
	logger_define_variable(mse_min_testset,float),
 | 
						|
	logger_define_variable(mse_max_testset,float),
 | 
						|
	logger_define_variable(gradient_mean,float),
 | 
						|
	logger_define_variable(gradient_min,float),
 | 
						|
	logger_define_variable(gradient_max,float),
 | 
						|
	logger_define_variable(ground_truth_diff,float),
 | 
						|
	logger_define_variable(ground_truth_mindiff,float),
 | 
						|
	logger_define_variable(ground_truth_maxdiff,float),
 | 
						|
	logger_define_variable(learning_rate,float).
 | 
						|
 | 
						|
%========================================================================
 | 
						|
%= 
 | 
						|
%=
 | 
						|
%========================================================================
 | 
						|
 | 
						|
:- initialization(global_initialize).
 |