Create a population of fuzzed up letters training_population 300 Size of the training population. Has to be bigger than the number of pixels. op: =1.training_population ot: =0.01 How much random noise is superposed onto the pixels APOP:[21oum1.0.)-)Am]+mom23.)mhepuate BPoP P=[(2- loor runif( 1,0, 2)1)-1) Blin]+morm(25, 0, od) been switched from positive to negative with POPOp a 50/50 probability, then [(2. floorfrunif(1,0, 2)1)-1)-Clin] morm(25, 0, ou superposed with white DPOP 20o02)-),bim]+mwm(230 Here is an example of a fuzzed up a and a fuzzed up b DISPLAYAPOP(s) DISPLAYBPOP3)Create a population of fuzzed up letters training_population := 300 Size of the training population. Has to be bigger than the number of pixels. pop := 1.. training_population st := 0.01 How much random noise is superposed onto the pixels. Æ æ �������������fi APOP pop := Ø º(2�floor(runif(1, 0, 2) 1) - 1)�Alinø ß + rnorm(25, 0,st) These populations have Æ æ �������������fi been switched from BPOP pop := Ø º(2�floor(runif(1, 0, 2) 1) - 1)�Blinø ß + rnorm(25, 0,st) positive to negative with Æ æ �������������fi a 50/50 probability, then CPOP pop := Ø º(2�floor(runif(1, 0, 2) 1) - 1)�Clinø ß + rnorm(25, 0,st) superposed with white Æ æ �������������fi noise. DPOP pop := Ø º(2�floor(runif(1, 0, 2) 1) - 1)�Dlinø ß + rnorm(25, 0,st) Here is an example of a fuzzed up A and a fuzzed up B. DISPLAY APOP Æ 5æ ( ) DISPLAY BPOP Æ 3æ ( ) 3