Performance Evaluation of Gene Expression Programming for ...

wyomingbeancurdAI and Robotics

Nov 7, 2013 (3 years and 9 months ago)

75 views

  
     
 


     
   
  







 


      !" # $ 

%         " # $ 

 
 

!        !"!    

    ! 


 
 
#! 
$
 
 ! 
   

 
 
! $ %
 ! 
!
   ! $ ! ! !&!!
  
 !!

 
 

!$"
!!$ 
 

'()!!
 
*'(+  % 

#  
  

  %  
!  

$
,
-
 &!!

*,-&+.'(  ,-& $ !        
/ %       !
 %  !
! 
)
    
 
 $  !!  !! !


0 

!! 
!! 



 
* +  !! !
!!
!$ '(
! 
!
      
  


 1  



 !!
,-& )!!
 
'(   
/
&
%  !234  % 53
!" 

 &  '&   $!!

!

 ( )
  $


*+,  &     & -. & /!   
!
   )
 $  
    &  ,
0   !
   ) & $   
  & 
 )!
 !&     

&  &  ,0      !!

& 
&
!&  


   )   &  
& 
 $$

*+,
1
&  
! &$ !&
 
! &2!  



     
! & !&! *3+,4
! &
2!    &  ) &&! )   !

 !      &  & ), 0    
(        )  !&  & 
!&  &),0
! &2! 
 
 
! &    )

!  & 

  , 1& &  &    
! &
2!   5  !
 -. 
    
) )  $ 
! & !&! 
 !
$ &! 
) !&!5-.
 &$ 
     ) $   

)  
   !  ! 
 !
   )$ &     
  )
 !   !5 -6.  &
)        
 ! 
!&!  !
!
 !&!  )

  5-7. &
&! &

&( )5-8.
&& )
&
  5 -.   ' & &!
  )
!  &  5 -9.   )  &  )
! 5 
 -3.  $   &(  )
! 
!$  &( *+, 


&     
! & 2!  
 )
*8:+,
0      )(   )   &  
;  '   1  -;1.  & 

$
& /!
! &

& 

$!  &&  ) 
<!  =  >   -<=>.,?<=>

;1 )!
  
  
! & 2! $
! 
 
!  $    
'  
&    )

 !   !&     @!

!     !       
!      -.

! 
  ,
#!$%
 &
' 
@ !)
   (&
! &2!
$! 


 &  
!     
, 1& &  
 &! 

 $ &/!   2! *9+,
0
     ) !  


    & & &      2!

A 
   
! & 2!, /!   

  $$
$     ,
:.-


&/
)-- 
-.

 (%  
'()!!
 
6  
1  ,

 9
 ) &

 
    ) 
7
   $
$&       2! ) 
 
) 
7
 $    &&  



  &$ & )-
/
  
! &
2! $ ! 
 -
&
      ! 


    !  & &    -B7 8-
&

)   2&
 ! 
   !!  

  )
   !. )

 B:C-

  
 &
 ! )
2!,
#  & 
     
)      
D









7

7
&
7

7
7
/

)


-



&0

-
-.
 ) &0
7
 & )@!
 !
 2!& > 
 !

   
7
 ) & &!
  &
   & 
  &!  $ &  )  &  ,
/!  &D









7

7
&
7

7
7
/

)


-



0

-
-6.
/!  6 !

$  
,
(!  
0 '  
     !
 )
&
!&
!   
!& !
& &  , 0 ! ) &    & &!  

   :,86)
:,9

 
 ,9 $     )  6,E 
)( )
&  ,'  
)
&&
  !
  '   !,
  & !  )!
! 

   &,  0 & &     ! 
  ,&,&,
  '  !!  


 
  !    -
&
) ( &   
,&
::&,-


)

!:
&,@ $
 !     )
 
 &$  B:,88,88
::F,@ !
) $   -
/87
) 07 
,
 7  3 : 7 
@
:
6:
8:
9:
E:
=2A
   
:,:
,8
,8
8,::
::,::
@ ! , G     =
2A
 )  @    '   !
-=
>
B::&=

B:'

B:&

B,&.,
%    &
 '   ! 
!     ( &     &,  
!      '
:&-

 ( 

 )

 ! : &, 0 !    

 )
$ $ :,3,,
&,@ !6)
$   -
/87
) 07
,
 7  3 : 7 
@
:
6:
8:
9:
E:
=2A
&
:,:
:,3
,
,
,:
@ !6,G   =
2A
) @&
'  !
-=
>
B&B:F&=

B:'

B:&.,
0 
'  !&  
$ -
&
73,7E,666,79,8
,&,@&-
&

-

  $  $  9 8 6: 88 38 
 7: &, 0
!  
!    )(
&    , & 
 :F, @ ! 7 ) 
=
>
=
2




4
;


=

'
- .
- .
@ !,-.   (&
! &2!$! 

-.
  !  ,
3  
     
 

$     -
/87
 )  07  
  ) -
&
/!7&
 -

,
 7  3 :
@
:
:
6:
7:
8:
=2A
=&
9
8
6:
88
38
7:
@ ! 7, G     =
2A
 )  @        

'   ! -=
>
B7& B:F & 

B,& 

'

B:&.,
0 ! '      &  
 
   &  -
&

 (   


 $ &  ,-
&
$ ::,
3,8& :F

,&-


)


:&,@ !8)$   -
/87
) 07
 
,0
&-9.)!
! 
& 
   &     


:,:
 A&,   
  !   A&  ! :
 A&, 0 )
   2! ) !

!     !  &&!& 


:,: , 0
   2! ) !
      &,
02! !:&
) 
! &,0

! &2!)( 
&  ) &/! 
&/!
 )
,<
  '  
$        !
  

) *9+,
7  3 : 7
@
:
:
6:
7:
8:
=2A
=>&
::,
89,
7,83
:9,87
:8:,:
:3,8:
@ ! 8, G     =
2A
 )  @       !
'  !-B:F&

B,&=

B:
'

B:&.,
)!   
*+ ,-
<   &          $$
 !   ) &  
$ ,  
&   
 $  &
!   

, <=> ( ) &  & !  , 0
     !! 
  !   

, 0 &
      &  
)   ! $    ! 
 
!!, H &        !
  
&

!!   )   ! $    
      &   &!
,  


&   <=> 
)*E+,
 

$ /!   

! &2!!
$ !! &
  
$    
    ! 
           !
 & 
I
,)&(,!8F
&&
 '  
 -! 3 $  .
!  
! 

  
 
    /!   6, 0    $  
-77$  .!
$

! 

,0) 
  
,
2

)


-



5:;07;7777

-
7

7
&
7

7
7
/


-7.
.!   
* 
;  '         &  
$  
  !  A  
 ) $ 
  @   EEE *+ 

&       & 
 '
         !
    &
  
    
 !&! 
 
  
         &
 , 0!    ;1 &  
(
  
!&!!
   &
 ,?!    
 !&! &
 
;1-'  .'  
! ! *7+,
0  )       '  
 D  & 
  '  
0 -0.       
'    &    &

 
,   !  &    

&
  &
     
      
  $ !  (
  &
 
    !,
0  &&
 '    
$  D         )  
   & 
  
 
  ,0!$ D

          
 
 '    
    &  
) !0,0) !
;1D   !     
   !
 '    
  (     !

   !&!  0 
  
&         
 
'     $   /! &     

$ & $, 0 ! /! $&   !    
 (%  
'()!!
 
6  
1  ,

 E
&
 $  !,  @ !  )   '
'  
$ !*6+,
0 !
      '  
 & & 
 @ !
9,0& ) 
   
 &   &  ! 
$
!
-  !  .,0 &
'
 
      &
$
! 
$!
         & - &

&    $   ., 0
$
!   
&
&&
   -  &
   &!  $   .  
!& ) 

 &  $  )  ) ,0
)
$
!     !  !2&
  

$  &D '    
 &    &   $   
&   
 
!&   )  
 &  , 0
&  
   &  ! 
    !    
 !      !

*7+,
0     $ ;1 
   
$!  !&!;1 ,0 !
 & !&!        ) 
 &
 & & $!)
   &   $!  , !    $ 
!&!   $)!  &
 &      
 
!
 
& $  &    !   &,  
!  &     '  
  ) 
!& $
 !&! 

  ( ! 
  &    &

$ *6+,




< 

@ ! ,   '  '    
 $  !


*6+,
@ !9,0)&;1

*7+,
! & 1 $ I  1 6,: 
-))),,&.;1 ) &( !

 
   
! & 2!, ! 8F  
&&
'  
-!3$  .
!  
  ! 
  
;1 
  
 /!  6,0$  -77
$  .!
! 
,0
)     
    & 
!
 
 $   
 )  0  ) 
  &  

!     
   
   
, 1 6,: $     
! &    
 $$
  
 $ $ &
   )
    
 !!&  CC JG !? &G?,
K$ K$ &  
 @   ! ! 
!    *6+, 0 $ &
  
 

! &2!
 )  @ !3

  J &
    
  )  
@ !E,
@ ! 3,$&

! &2!
,
L

C
M


&


:6789
LMC&

6: 
     
 

0,;  & ,0,  &
 $

,
@ !E,0 J&

! &2!
,
/!
 0 
 <=> 
;1 &&!   ) 

!  
  <=> 
;1 
 )
&
) !
$! 

  
 $
  
 , 0! $ !
! &  !
  &   ! 
  &    >/! 
 > <  /!
-><.& 

,0 &
<=>
;1
 $  06,
06,0 &<=>
;1
,
$  
$  1  

>N >< >N ><
=KAO<=>:,397 6,8:,396 6,
=KAO;1:,E63 ,8:,E7 6,::8
 
D 6:
; D 
4
 D 3
;  D 9
= ( @! &  D 

 
 
2
<!  >D:,:77
 $  >D:,
0    >D:,
>0    >D:,
H 1 >&   
>D
:,6
0)1 >&   
>D
:,6
; >&   >D:,
; 0    >D
:,
$   $ 
?@  D 6,:E99933699 EE,873E696
<',@  D
::::::
>/!D
:,E637EE98EE73:,E78E68E9
H! D  
&,D::
  
 &  - .D
:,E336E7E73:,E8E:9E8E
< /!

-<.D
,89:8673E88E E,:678:96E:768
>< /!

-><.D
,866:77::6,::89E8989766
> $!
->.D
:,688E::97:,6:8:8739
< !
-<.D
,373E8E9939 ,:796:99:979
> $/!

->.D
:,:9E3E63E:,:3397E78EE97
>> $
/!

->>.D
:,738E7E9E:,E9E:39:3
 (%  
'()!!
 
6  
1  ,

 6
3!
0

     !
 ! 6 $    

! & 2! 
     & !
! 

!  
! 

! &2!

!  )
  
  & /!, 0
 
)! ! <=>
&
 
 ! ! ;1,0) ! >/! 

><)!
&  &
 
, 0 !
& ;1  $
     & &     <=> ! 
 
;1 
   & &
   
<=>
, & &!

;1   
&
! &

 ,
-

*+ ) G, = >  6  
!
<&;) 4  )O(E3,
*+ @  , P;  '   1 D
 ) 
 $    $ 
1Q >)?!! $, 6 , 
,39E::,
*6+ @  ,' ()!!
  
@
,  
 , 
   




  
 4  1!
::,
*7+ @  , P;  '   1 

  $!    ! 1Q

 > ! -  A 0 &
1%!
.

  !
 
>
,3:6::7,
*8+ 4 %, ( 1
!!
 !   6  

 !) &
 & 1!  

EE,
*+ <  ,
 >! ;, 
 
? 
!
!    

  (
! K 
% 
  &)O(EEE,
*9+  , PH  >! 
 =  
1  &   ? Q
 
! 
 

  
  >  6 B
?
  (

1
::,
*3+ ,! <,

;)
,
P1 & $!      &  !
)( )  1
&    4
! &
Q
 
!   3

  
 
>  6 
 
! , 3
 ::7,
*E+ 1 &, >
!
C
D!E!'

#EE9,
*:+ G & , 
 4 %, ( 1
!!
 !
 6& 6  
?! 1!
,  
?
! ?( 1!  

EE8,
*+ G &($ , 
   , P1
& $
 < D 1& & 'Q


!  ?  
 F"! 



 

 >
%
 (

 ,
9 !;  :::,
*+"! , R  %, 0 ( 0, 
   1,
P &$    &   >! # 
;  '   1 Q


!     
 
>  


 
 ,
6886=G::,
%           
  &!   
 
   
 
     

0&   
! 
   &
" # $  , 4
& $
 ?&
 & $     <&

    
 1
 
   -;.,4)$   &
 0' S<# $ #  ) , 4 
&  &!
;'
< < 
    & /! 
&   
( , 4      %
 &
 
O!  &    -%O. #    &   

 >& -#>. 0' S<     
@&! )( 
    )   
&   -.,
 45 6   !
  
! &    
     " 
# $ ,4& $
 
?&
      

 $        
  
<&
1
 
! &
   ,4!$ 
  <&T

1T    

! &   

  &  , ,  ! 
    7:
&    &  

! &   
     
     2!  

&  &, !    ) 
  

 '   &    
! &
   
,