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ocr.4th
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ocr.4th
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( *
* LANGUAGE : ANS Forth
* PROJECT : Forth Environments
* DESCRIPTION : neural net with backpropagation
* CATEGORY : Example
* AUTHOR : Marcel Hendrix, November 26 1989
* LAST CHANGE : October 13, 1991, Marcel Hendrix
* ADAPTED : for kForth, Sep 18, 2003, Krishna Myneni
* )
\ kForth requires the following files and definitions:
include strings
include ans-words
include utils
include ansi
variable start-time
: TIMER-RESET ( -- ) MS@ start-time ! ;
: .ELAPSED ( -- )
MS@ start-time @ - 100 / S>D
<# # [CHAR] . HOLD # #S #> TYPE
." seconds elapsed." ;
\ end of kForth requirements
\ **** Define the layers. ******************************************
140 constant Sensors \ Dyadic functions, note extra elements for dummies.
10 constant HiddenUnits \ set up 1-dimensional I/Hidden/O vectors
5 constant OutputUnits \ 5 outputs: bits 0..4
PAGE
INCLUDE backprop.4th
CR .( Neural App: OCR Version 1.10-2 )
\ **** End of layer defs. ******************************************
( * Application Level * )
14 constant SensorRows
10 constant HSensors
: .ABOUT
CR
CR ." ** OCR in Multi-layered Neural-Net using back-propagation **"
CR ." This net classifies bitmaps to ASCII characters"
CR
CR ." <l> <s> ASSOCIATE -- The input pattern <l> is associated to output <s>."
CR ." <l> (= {bm:A .. bm:Z} <s> (= {ac:A .. ac:Z}"
CR ." DRILL -- Learns all associated pairs."
CR ." NO-ASSOCIATIONS -- Forget all associations."
CR ." <l> REACT -- Input <l> to the network and show output."
CR ." .STATUS -- Prints inputs | outputs | targets."
CR ." .WEIGHTS -- Prints all weights."
CR ." <z> TO LearningRate -- LearningRate, oscillates if too large (>1000)."
CR ." <w> TO Retries -- Max number of retries (normally 3000)."
CR ." Noisy | Clean -- Select if input is noisy or not."
CR ." <y> TO Noise -- 1 out of <y> pixels in <l> is corrupted, if Noisy."
CR ." FALSE | TRUE TO ?display -- See matrices during learning or not."
CR ." DO-IT! -- Sets up defaults and learns the patterns."
CR ." .ABOUT -- Print this info." CR
CR ." Note: When running, '+' and '-' influence LearningRate,"
CR ." '/' switches between .STATUS and .WEIGHTS,"
CR ." 'D' turns display on and off,"
CR ." 'ESC' breaks."
CR
CR ." (Suggested: DO-IT! bm:A REACT Noisy bm:A REACT)" ;
CREATE bm:A 0 0 0 0 0 0 0 0 0 0
0 0 1 1 1 1 0 0 0 0
0 1 1 0 0 1 1 0 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 1 1 1 1 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:B 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 0 0 0 0
1 1 0 0 0 1 1 0 0 0
1 1 0 0 0 1 1 0 0 0
1 1 0 0 0 1 1 0 0 0
1 1 1 1 1 1 1 0 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 1 1 1 1 1 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:C 0 0 0 0 0 0 0 0 0 0
0 0 1 1 1 1 1 0 0 0
0 1 1 0 0 0 1 1 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
0 1 1 0 0 0 1 1 0 0
0 0 1 1 1 1 1 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:D 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 0 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
1 1 1 1 1 1 1 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:E 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 1 1 1 1 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:F 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 1 1 1 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:G 0 0 0 0 0 0 0 0 0 0
0 0 1 1 1 1 1 0 0 0
0 1 1 0 0 0 1 1 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 1 1 1 1 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
0 1 1 0 0 0 1 1 0 0
0 0 1 1 1 1 1 1 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:M 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 1 0 0 0 1 1 1 0
1 1 1 1 0 1 1 1 1 0
1 1 0 1 1 1 0 1 1 0
1 1 0 0 1 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:S 0 0 0 0 0 0 0 0 0 0
0 1 1 1 1 1 1 0 0 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
0 1 1 1 1 1 1 0 0 0
0 0 0 0 0 0 1 1 0 0
0 0 0 0 0 0 1 1 0 0
0 0 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
0 1 1 1 1 1 1 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
\ Hors concours: displaced patterns, to test performance ****
\ Backpropagation does NOT handle this as well as a BAM!
CREATE bm:M' 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 1 \ Translated Right.
0 1 1 0 0 0 0 0 1 1 \ Will the network map this on M?
0 1 1 1 0 0 0 1 1 1 \ YES!
0 1 1 1 1 0 1 1 1 1
0 1 1 0 1 1 1 0 1 1
0 1 1 0 0 1 0 0 1 1
0 1 1 0 0 0 0 0 1 1
0 1 1 0 0 0 0 0 1 1
0 1 1 0 0 0 0 0 1 1
0 1 1 0 0 0 0 0 1 1
0 1 1 0 0 0 0 0 1 1
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:M_ 1 1 0 0 0 0 0 1 1 0 \ shifted up 1 row
1 1 0 0 0 0 0 1 1 0
1 1 1 0 0 0 1 1 1 0
1 1 1 1 0 1 1 1 1 0
1 1 0 1 1 1 0 1 1 0
1 1 0 0 1 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
1 1 0 0 0 0 0 1 1 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:S' 0 0 0 0 0 0 0 0 0 0 \ translated right
0 0 1 1 1 1 1 1 0 0
0 1 1 0 0 0 0 1 1 0
0 1 1 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 0 0
0 0 1 1 1 1 1 1 0 0
0 0 0 0 0 0 0 1 1 0
0 0 0 0 0 0 0 1 1 0
0 0 0 0 0 0 0 1 1 0
0 1 1 0 0 0 0 1 1 0
0 0 1 1 1 1 1 1 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:S_ 0 1 1 1 1 1 1 0 0 0 \ shifted up 1 row
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
0 1 1 1 1 1 1 0 0 0
0 0 0 0 0 0 1 1 0 0
0 0 0 0 0 0 1 1 0 0
0 0 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
0 1 1 1 1 1 1 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:G' 0 0 0 0 0 0 0 0 0 0 \ Horizontally displaced. Okay.
0 0 0 1 1 1 1 1 0 0
0 0 1 1 0 0 0 1 1 0
0 1 1 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 0 0
0 1 1 0 0 0 1 1 1 1
0 1 1 0 0 0 0 1 1 0
0 1 1 0 0 0 0 1 1 0
0 0 1 1 0 0 0 1 1 0
0 0 0 1 1 1 1 1 1 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
CREATE bm:G_ 0 0 1 1 1 1 1 0 0 0 \ shifted up 1 row
0 1 1 0 0 0 1 1 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 1 1 1 1 0
1 1 0 0 0 0 1 1 0 0
1 1 0 0 0 0 1 1 0 0
0 1 1 0 0 0 1 1 0 0
0 0 1 1 1 1 1 1 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 sensor,
\ End test patterns *****************************************
CREATE ac:A 0 0 0 0 1 output, \ 1
CREATE ac:B 0 0 0 1 0 output, \ 2
CREATE ac:C 0 0 0 1 1 output, \ 3
CREATE ac:D 0 0 1 0 0 output, \ 4
CREATE ac:E 0 0 1 0 1 output, \ 5
CREATE ac:F 0 0 1 1 0 output, \ 6
CREATE ac:G 0 0 1 1 1 output, \ 7
CREATE ac:M 0 1 1 0 1 output, \ 13
CREATE ac:S 1 0 0 1 1 output, \ 19
/inputs VALUE #Temp
/inputs ARRAY Temp
'OF Temp =: 'Temp
One 0 'Temp []CELL !
: bm:SHIFT 'Temp CELL+ \ <'input> <+pixels> --- <'ip>
Sensors CELLS ERASE
CELLS >R @+ 1- CELLS R> MIN >R CELL+
'Temp CELL+ R@ +
Sensors CELLS R> - CMOVE
'OF #Temp ;
: .INPUTBIT \ <n> --- <>
"0.5" > IF [CHAR] *
ELSE ( [CHAR] ú) bl
THEN EMIT ;
\ An output is considered 'on' when it is >= One
\ 'off' when it is <= Zero
\ Whenever an output is > "0.5", but below One,
\ or < "0.5" but greater than Zero, there is doubt:
\ 0..........Zero.........0.5........One..........1
\ <-- 'Off' --><-- ?Off --> <-- ?On --><-- 'On' -->
: doOCRShow CR ." The net observes the following input bit pattern: " CR
SensorRows
0 DO CR
HSensors 0 DO J HSensors * I + 1+ InputValues .INPUTBIT
LOOP
LOOP
CR ." That is why it outputs the binary string: %"
0 ( %error )
/outputs
0 DO I ActualOutputs .OUTPUTBIT +
LOOP
0 /outputs
0 DO 1 LSHIFT I ActualOutputs "0.5" > IF 1 OR THEN
LOOP
." , meaning: '" [CHAR] @ + EMIT ." ', with "
/outputs / 1 .R ." % error." CR ;
: OCRShow ['] doOCRShow IS SHOW-NET ;
: doMultiOCR TIMER-RESET
NO-ASSOCIATIONS
bm:A ac:A ASSOCIATE
bm:B ac:B ASSOCIATE
bm:C ac:C ASSOCIATE
bm:D ac:D ASSOCIATE
bm:E ac:E ASSOCIATE
bm:F ac:F ASSOCIATE
bm:G ac:G ASSOCIATE
bm:M ac:M ASSOCIATE \ Define OCR functions
bm:S ac:S ASSOCIATE
CR CR
." Learning to recognize the following 14x10 pixel characters:"
CR CR 9 EMIT
." A B C D E F G M S" CR CR
DRILL
.ELAPSED ;
: MultiOCR ['] doMultiOCR IS DO-IT! ;
OCRShow MultiOCR
200 TO LearningRate
false TO ?display
.ABOUT
( * End of Application * )