The document describes the training of a neural network to identify digital numbers. It shows the input patterns for numbers 0-9, presented repeatedly to the network during training. After many iterations, the network is able to correctly identify the numbers based on the input patterns, demonstrating that it has learned to recognize digital numbers.

1. Redes Neuronales
IDENTIFICA NÚMEROS DIGITALES
Víctor Viera BalantaVíctor Viera Balanta CALI-COLOMBIACALI-COLOMBIA

2. Redes Neuronales
Identifica Números Digitales
Víctor Viera BalantaVíctor Viera Balanta

3. Redes Neuronales
IDENTIFICA NÚMEROS DIGITALES
Víctor Viera BalantaVíctor Viera Balanta

4. Redes Neuronales
Identifica Números Digitales
Víctor Viera BalantaVíctor Viera Balanta
11
00
11
11
11
11
00
77
11
22
33
44
55
66
00
11
11
00

5. Redes Neuronales
Identifica Números Digitales
Víctor Viera BalantaVíctor Viera Balanta
11
11
11
11
11
11
11
77
11
22
33
44
55
66
11
00
00
00

6. Redes Neuronales
Aprende Números Digitales
Víctor Viera BalantaVíctor Viera Balanta
1 2 3 4 5 6 7
00 11 11 11 00 11 11
númeronúmero
55
BinarioBinario
01010101
77
11
22
33
44
55
66

7. Redes Neuronales
Aprende Números Digitales
Víctor Viera BalantaVíctor Viera Balanta
1 2 3 4 5 6 7
00 11 11 11 11 11 11
númeronúmero
66
BinarioBinario
01100110
77
11
22
33
44
55
66

8. Redes Neuronales
Aprende Números Digitales
Víctor Viera BalantaVíctor Viera Balanta
1 2 3 4 5 6 7
11 00 00 00 00 00 11
númeronúmero
11
BinarioBinario
00010001
77
11
22
33
44
55
66

9. Redes Neuronales
Aprende Números Digitales
Víctor Viera BalantaVíctor Viera Balanta
1 2 3 4 5 6 7
11 11 11 00 11 11 11
11 00 00 00 00 00 11
11 11 00 11 11 11 00
11 11 00 11 00 11 11
11 00 11 11 00 00 11
00 11 11 11 00 11 11
00 11 11 11 11 11 11
11 11 00 00 00 00 11
11 11 11 11 11 11 11
11 11 11 11 00 11 11
númeronúmero
00
11
22
33
44
55
66
77
88
99

10. Redes Neuronales
Aprende Números Digitales
Víctor Viera BalantaVíctor Viera Balanta
1 2 3 4 5 6 7
11 11 11 00 11 11 11
11 00 00 00 00 00 11
11 11 00 11 11 11 00
11 11 00 11 00 11 11
11 00 11 11 00 00 11
00 11 11 11 00 11 11
00 11 11 11 11 11 11
11 11 00 00 00 00 11
11 11 11 11 11 11 11
11 11 11 11 00 11 11
númeronúmero
00
11
22
33
44
55
66
77
88
99
BinarioBinario
00000000
00010001
00100010
00110011
01000100
01010101
01100110
01110111
10001000
10011001

11. Redes Neuronales
Resultados
Víctor Viera BalantaVíctor Viera Balanta
****** epoca 0 ********Iteración 5230 ***************** epoca 0 ********Iteración 5230 ***********
1.0,1.0,1.0,0.0,1.0,1.0,1.0,Aprende 0.0 0.0 0.0 0.0 Salida-> 0.0 0.0 0.0 0.0** 0.01.0,1.0,1.0,0.0,1.0,1.0,1.0,Aprende 0.0 0.0 0.0 0.0 Salida-> 0.0 0.0 0.0 0.0** 0.0
1.0,0.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 0.0 0.0 1.0 Salida-> 0.0 0.0 0.0 1.0** 1.01.0,0.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 0.0 0.0 1.0 Salida-> 0.0 0.0 0.0 1.0** 1.0
1.0,1.0,0.0,1.0,1.0,1.0,0.0,Aprende 0.0 0.0 1.0 0.0 Salida-> 0.0 0.0 1.0 0.0** 2.01.0,1.0,0.0,1.0,1.0,1.0,0.0,Aprende 0.0 0.0 1.0 0.0 Salida-> 0.0 0.0 1.0 0.0** 2.0
1.0,1.0,0.0,1.0,0.0,1.0,1.0,Aprende 0.0 0.0 1.0 1.0 Salida-> 0.0 0.0 1.0 1.0** 3.01.0,1.0,0.0,1.0,0.0,1.0,1.0,Aprende 0.0 0.0 1.0 1.0 Salida-> 0.0 0.0 1.0 1.0** 3.0
1.0,0.0,1.0,1.0,0.0,0.0,1.0,Aprende 0.0 1.0 0.0 0.0 Salida-> 0.0 1.0 0.0 0.0** 4.01.0,0.0,1.0,1.0,0.0,0.0,1.0,Aprende 0.0 1.0 0.0 0.0 Salida-> 0.0 1.0 0.0 0.0** 4.0
0.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 0.0 1.0 0.0 1.0 Salida-> 0.0 1.0 0.0 1.0** 5.00.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 0.0 1.0 0.0 1.0 Salida-> 0.0 1.0 0.0 1.0** 5.0
0.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 0.0 1.0 1.0 0.0 Salida-> 0.0 1.0 1.0 0.0** 6.00.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 0.0 1.0 1.0 0.0 Salida-> 0.0 1.0 1.0 0.0** 6.0
1.0,1.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 1.0 1.0 1.0 Salida-> 0.0 1.0 1.0 1.0** 7.01.0,1.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 1.0 1.0 1.0 Salida-> 0.0 1.0 1.0 1.0** 7.0
1.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 1.0 0.0 0.0 0.0 Salida-> 1.0 0.0 0.0 0.0** 8.01.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 1.0 0.0 0.0 0.0 Salida-> 1.0 0.0 0.0 0.0** 8.0
1.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 1.0 0.0 0.0 1.0 Salida-> 1.0 0.0 0.0 1.0** 9.01.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 1.0 0.0 0.0 1.0 Salida-> 1.0 0.0 0.0 1.0** 9.0

12. Redes Neuronales
Resultados
Víctor Viera BalantaVíctor Viera Balanta
****** epoca 0 ********Iteración 5353 ***************** epoca 0 ********Iteración 5353 ***********
1.0,1.0,1.0,0.0,1.0,1.0,1.0,Aprende 0.0 0.0 0.0 0.0 Salida-> 0.0 0.0 0.0 0.0** 0.01.0,1.0,1.0,0.0,1.0,1.0,1.0,Aprende 0.0 0.0 0.0 0.0 Salida-> 0.0 0.0 0.0 0.0** 0.0
1.0,0.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 0.0 0.0 1.0 Salida-> 0.0 0.0 0.0 1.0** 1.01.0,0.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 0.0 0.0 1.0 Salida-> 0.0 0.0 0.0 1.0** 1.0
1.0,1.0,0.0,1.0,1.0,1.0,0.0,Aprende 0.0 0.0 1.0 0.0 Salida-> 0.0 0.0 1.0 0.0** 2.01.0,1.0,0.0,1.0,1.0,1.0,0.0,Aprende 0.0 0.0 1.0 0.0 Salida-> 0.0 0.0 1.0 0.0** 2.0
1.0,1.0,0.0,1.0,0.0,1.0,1.0,Aprende 0.0 0.0 1.0 1.0 Salida-> 0.0 0.0 1.0 1.0** 3.01.0,1.0,0.0,1.0,0.0,1.0,1.0,Aprende 0.0 0.0 1.0 1.0 Salida-> 0.0 0.0 1.0 1.0** 3.0
1.0,0.0,1.0,1.0,0.0,0.0,1.0,Aprende 0.0 1.0 0.0 0.0 Salida-> 0.0 1.0 0.0 0.0** 4.01.0,0.0,1.0,1.0,0.0,0.0,1.0,Aprende 0.0 1.0 0.0 0.0 Salida-> 0.0 1.0 0.0 0.0** 4.0
0.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 0.0 1.0 0.0 1.0 Salida-> 0.0 1.0 0.0 1.0** 5.00.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 0.0 1.0 0.0 1.0 Salida-> 0.0 1.0 0.0 1.0** 5.0
0.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 0.0 1.0 1.0 0.0 Salida-> 0.0 1.0 1.0 0.0** 6.00.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 0.0 1.0 1.0 0.0 Salida-> 0.0 1.0 1.0 0.0** 6.0
1.0,1.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 1.0 1.0 1.0 Salida-> 0.0 1.0 1.0 1.0** 7.01.0,1.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 1.0 1.0 1.0 Salida-> 0.0 1.0 1.0 1.0** 7.0
1.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 1.0 0.0 0.0 0.0 Salida-> 1.0 0.0 0.0 0.0** 8.01.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 1.0 0.0 0.0 0.0 Salida-> 1.0 0.0 0.0 0.0** 8.0
1.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 1.0 0.0 0.0 1.0 Salida-> 1.0 0.0 0.0 1.0** 9.01.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 1.0 0.0 0.0 1.0 Salida-> 1.0 0.0 0.0 1.0** 9.0

13. Redes Neuronales
Resultados
Víctor Viera BalantaVíctor Viera Balanta
****** epoca 0 ********Iteración 5230 ***************** epoca 0 ********Iteración 5230 ***********
1.0,1.0,1.0,0.0,1.0,1.0,1.0,Aprende 0.0 0.0 0.0 0.0 Salida-> 0.0 0.0 0.0 0.0** 0.01.0,1.0,1.0,0.0,1.0,1.0,1.0,Aprende 0.0 0.0 0.0 0.0 Salida-> 0.0 0.0 0.0 0.0** 0.0
1.0,0.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 0.0 0.0 1.0 Salida-> 0.0 0.0 0.0 1.0** 1.01.0,0.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 0.0 0.0 1.0 Salida-> 0.0 0.0 0.0 1.0** 1.0
1.0,1.0,0.0,1.0,1.0,1.0,0.0,Aprende 0.0 0.0 1.0 0.0 Salida-> 0.0 0.0 1.0 0.0** 2.01.0,1.0,0.0,1.0,1.0,1.0,0.0,Aprende 0.0 0.0 1.0 0.0 Salida-> 0.0 0.0 1.0 0.0** 2.0
1.0,1.0,0.0,1.0,0.0,1.0,1.0,Aprende 0.0 0.0 1.0 1.0 Salida-> 0.0 0.0 1.0 1.0** 3.01.0,1.0,0.0,1.0,0.0,1.0,1.0,Aprende 0.0 0.0 1.0 1.0 Salida-> 0.0 0.0 1.0 1.0** 3.0
1.0,0.0,1.0,1.0,0.0,0.0,1.0,Aprende 0.0 1.0 0.0 0.0 Salida-> 0.0 1.0 0.0 0.0** 4.01.0,0.0,1.0,1.0,0.0,0.0,1.0,Aprende 0.0 1.0 0.0 0.0 Salida-> 0.0 1.0 0.0 0.0** 4.0
0.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 0.0 1.0 0.0 1.0 Salida-> 0.0 1.0 0.0 1.0** 5.00.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 0.0 1.0 0.0 1.0 Salida-> 0.0 1.0 0.0 1.0** 5.0
0.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 0.0 1.0 1.0 0.0 Salida-> 0.0 1.0 1.0 0.0** 6.00.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 0.0 1.0 1.0 0.0 Salida-> 0.0 1.0 1.0 0.0** 6.0
1.0,1.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 1.0 1.0 1.0 Salida-> 0.0 1.0 1.0 1.0** 7.01.0,1.0,0.0,0.0,0.0,0.0,1.0,Aprende 0.0 1.0 1.0 1.0 Salida-> 0.0 1.0 1.0 1.0** 7.0
1.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 1.0 0.0 0.0 0.0 Salida-> 1.0 0.0 0.0 0.0** 8.01.0,1.0,1.0,1.0,1.0,1.0,1.0,Aprende 1.0 0.0 0.0 0.0 Salida-> 1.0 0.0 0.0 0.0** 8.0
1.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 1.0 0.0 0.0 1.0 Salida-> 1.0 0.0 0.0 1.0** 9.01.0,1.0,1.0,1.0,0.0,1.0,1.0,Aprende 1.0 0.0 0.0 1.0 Salida-> 1.0 0.0 0.0 1.0** 9.0

14. Redes Neuronales
Resultados
Víctor Viera BalantaVíctor Viera Balanta

15. Redes Neuronales
Código Fuente
Víctor Viera BalantaVíctor Viera Balanta

16. Entrenamiento de Red Neuronal
Víctor Viera BalantaVíctor Viera Balanta
EntrenamientoEntrenamiento

17. Víctor Viera BalantaVíctor Viera Balanta
K
J
J
I
I
K
BackPropagation

18. Víctor Viera BalantaVíctor Viera Balanta
K
J
J
I
I
K
BackPropagation

19. BackPropagation
Víctor Viera BalantaVíctor Viera Balanta
K
J
J
I
I
K
Ej=Oj∗(1−Oj)∗∑Ek∗Wjk
Ej=Oj∗(1−Oj)∗∑Ek∗Wjk
K

20. Entrenamiento de Red Neuronal
● En el siguiente video puedes ver más detalles de la
implementación de la Red neuronal
● http://www.youtube.com/watch?v=-9H_eVZdtN8
Víctor Viera BalantaVíctor Viera Balanta

21. BackPropagation
Víctor Viera BalantaVíctor Viera Balanta
K
J
J
I
I
K
Wij=Wij+L∗Ej∗Oi
Wij=Wij+L∗Ej∗Oi

22. Entrenamiento de Neurona
Víctor Viera BalantaVíctor Viera Balanta
EntradasEntradas
Salidas
Función de ActivaciónFunción de Activación
ww
II

23. Entrenamiento de Red Neuronal
Víctor Viera BalantaVíctor Viera Balanta
Función de ActivaciónFunción de Activación
SigmoideSigmoide
0.5
00
11
ActivaciónActivación
11
____________
a/pa/p
1+ e1+ e

24. Entrenamiento de Neurona
Víctor Viera BalantaVíctor Viera Balanta
SigmoideSigmoide
/*** @author victor**//*** @author victor**/
public class Sigmoide {public class Sigmoide {
double e;double e;
double p;double p;
public Sigmoide(){public Sigmoide(){
e = Math.E; p=1;e = Math.E; p=1;
}}
public double funcion(double a){public double funcion(double a){
return(1/(1+ Math.pow(e, -a/p)));return(1/(1+ Math.pow(e, -a/p)));
}}
}

25. Entrenamiento de Red Neuronal
Víctor Viera BalantaVíctor Viera Balanta
Función de ActivaciónFunción de Activación
NeuronaNeurona
Entradas
Pesos
Salidas
Sigmoide
Activacion()
LlenaSalidas()
getSalidas()

26. Entrenamiento de Red Neuronal
● En el siguiente video puedes ver más detalles de la
implementación de la Red neuronal
● http://www.youtube.com/watch?v=-9H_eVZdtN8
Víctor Viera BalantaVíctor Viera Balanta