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Verifique por que as redes precisam de não linearidade e como ReLU, sigmoid, tanh, softmax, Leaky ReLU e GELU se comportam nas camadas ocultas e de saída.

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Why can stacking only linear layers not learn a curved decision boundary?

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  1. Why can stacking only linear layers not learn a curved decision boundary?
    • Each layer deletes all input features
    • The output becomes a probability distribution
    • Linear layers cannot be trained with backpropagation
    • Their composition is still a single linear transformation
  2. What is the output of ReLU for an input of −3?
    • −3
    • 0
    • 3
    • A class probability
  3. Why can sigmoid and tanh stall learning in deep networks when inputs reach their extremes?
    • Their gradients approach zero in saturated regions
    • They force every weight to be identical
    • They cannot represent bounded values
    • They always produce an undefined output
  4. A multiclass classifier needs output values that sum to one across classes. Which function does the guide use?
    • ReLU com vazamento
    • Tanh
    • Softmax
    • ReLU
  5. What does the “dying ReLU” problem mean in the guide?
    • The training dataset loses labels
    • A unit stays on its zero-output side and receives no useful gradient there
    • The softmax outputs fail to sum to one
    • All positive inputs become negative
  6. Which variant is suggested when many ReLU units stay inactive?
    • Softmax
    • A purely linear hidden layer
    • Sigmoid at every hidden layer
    • Leaky ReLU, which allows a small negative-side response
  7. What feature of GELU does the guide associate with its use in transformer models?
    • It removes all nonlinear behavior
    • It always yields exact class probabilities
    • A smooth response rather than ReLU’s hard cutoff
    • It fixes every training instability
  8. For positive inputs, what ReLU gradient property helps preserve a backpropagated signal?
    • Its slope is 1 on the positive side
    • Its slope is always zero
    • It has no derivative anywhere
    • It normalizes gradients to class probabilities