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AI Pool: Why network overfits too early?

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I want to train a neural network model, which basically does binary classification. I can't understand why my network overfits too early. I thought my network is too big and it memorizes the dataset, but when I make it smaller, it does not learn at all. How avoid this situation? Dropout didn't work, augmentation techniques helped a bit, obviously, regularizations didn't change anything. Can you guys explain the reasons, and how I can avoid it?...

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