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import numpy as np
 
# Initialisierung der Schwellenwerte
lower_threshold = 0.8
upper_threshold = 1.2
 
# Lernrate
learning_rate = 0.1
 
# Trainingsdaten (XOR-Problem)
inputs = [[0, 0], [0, 1], [1, 0], [1, 1]]
targets = [0, 1, 1, 0]
 
# Trainingsloop mit max. 1000 Iterationen
max_iterations = 1000
epoch = 0
network_trained = False
start_weights = None
final_weights = None
all_epoch_outputs = []  # Store outputs of all epochs for debugging and transparency
 
while epoch < max_iterations:
    epoch += 1
    all_correct = True  # Flag, um zu überprüfen, ob alle Ausgaben korrekt sind
    current_weights = np.random.rand(2)  # Zufällige Startgewichte
 
    if epoch == 1:  # Die erste Iteration nach Initialisierung
        start_weights = current_weights  # Speichere die Startgewichte
 
    epoch_outputs = []  # To store outputs of this epoch
 
    for input_vector, target in zip(inputs, targets):
        # Berechnung der gewichteten Summe
        weighted_sum = np.dot(input_vector, current_weights)
 
        # Aktivierungsfunktion (einfache Schwellenwertfunktion)
        output = 1 if lower_threshold < weighted_sum < upper_threshold else 0
 
        # Fehlerberechnung
        error = target - output
 
        # Wenn ein Fehler vorliegt, dann weise die Gewichte an
        if error != 0:
            all_correct = False
            current_weights += learning_rate * error * np.array(input_vector)
 
        epoch_outputs.append((input_vector, output, target))  # Save each iteration's output
 
    all_epoch_outputs.append(epoch_outputs)
 
    # Überprüfe, ob alle Ausgaben korrekt sind
    if all_correct:
        network_trained = True
        final_weights = current_weights  # Speichere die finalen Gewichte
        break  # Stoppe, wenn alle Ausgaben korrekt sind
 
    # Wenn XOR nach 100 Iterationen nicht gelernt wurde, setze neue zufällige Startgewichte
    if epoch % 100 == 0:  # 100 statt 20
        print(f"Nicht funktionierende Startgewichte: {start_weights}")
        start_weights = np.random.rand(2)  # Setze neue Startgewichte
 
if network_trained:
    print(f"Das Netzwerk hat XOR korrekt nach {epoch} Iterationen gelernt.")
    print(f"Die Working Startgewichte waren: {start_weights}")
    print(f"Die finalen Gewichte sind: {final_weights}")
else:
    print(f"Das Netzwerk hat XOR nach {epoch} Iterationen nicht korrekt gelernt.")
 
# Testen des Netzwerks nach den Lern-Iterationen
print("\nFinal Test Output:")
for input_vector, target in zip(inputs, targets):
    weighted_sum = np.dot(input_vector, final_weights)
    output = 1 if lower_threshold < weighted_sum < upper_threshold else 0
    print(f"Input: {input_vector}, Target: {target}, Output: {output}")
 
# Optionally, print out the outputs of each epoch for transparency
print("\nEpoch Outputs:")
for epoch_index, epoch_outputs in enumerate(all_epoch_outputs):
    print(f"Epoch {epoch_index + 1}:")
    for input_vector, output, target in epoch_outputs:
        print(f"  Input: {input_vector}, Output: {output}, Target: {target}")

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Success #stdin #stdout 0.18s 28948KB

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stdout

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Das Netzwerk hat XOR korrekt nach 34 Iterationen gelernt.
Die Working Startgewichte waren: [0.40467691 0.38316837]
Die finalen Gewichte sind: [0.93388594 0.96122875]

Final Test Output:
Input: [0, 0], Target: 0, Output: 0
Input: [0, 1], Target: 1, Output: 1
Input: [1, 0], Target: 1, Output: 1
Input: [1, 1], Target: 0, Output: 0

Epoch Outputs:
Epoch 1:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 2:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 1, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 3:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 1, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 4:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 5:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 1, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 6:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 7:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 1, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 8:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 9:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 10:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 11:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 12:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 13:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 1, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 14:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 1, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 15:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 16:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 17:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 1, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 18:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 19:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 20:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 21:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 1, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 22:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 23:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 1, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 24:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 25:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 1, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 26:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 1, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 27:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 28:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 29:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 30:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 31:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 32:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 1, Target: 1
  Input: [1, 1], Output: 0, Target: 0
Epoch 33:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 0, Target: 1
  Input: [1, 0], Output: 0, Target: 1
  Input: [1, 1], Output: 1, Target: 0
Epoch 34:
  Input: [0, 0], Output: 0, Target: 0
  Input: [0, 1], Output: 1, Target: 1
  Input: [1, 0], Output: 1, Target: 1
  Input: [1, 1], Output: 0, Target: 0

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