What are activation functions?
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Activation functions are mathematical functions used in artificial neural networks to determine whether a neuron should be activated (fire) or not. They introduce non-linearity into the network, allowing it to learn complex patterns and relationships in data. Without activation functions, a neural network would behave like a simple linear model, limiting its learning capability.
Why are they important?
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Enable the network to learn non-linear relationships.
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Control the output range of neurons.
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Help in gradient-based optimization by making backpropagation possible.
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Decide how much of the input signal should pass to the next layer.
Common Types of Activation Functions:
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Sigmoid Function (Logistic):
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Output range: (0, 1).
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Good for probabilities but suffers from vanishing gradients.
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Tanh (Hyperbolic Tangent):
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Output range: (-1, 1).
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Zero-centered but still faces vanishing gradient issues.
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ReLU (Rectified Linear Unit):
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Output: 0 if input < 0, otherwise input.
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Most widely used due to simplicity and efficiency.
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Can suffer from the “dying ReLU” problem (neurons stuck at zero).
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Leaky ReLU:
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Variant of ReLU that allows a small negative output instead of 0.
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Solves the dying ReLU problem.
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Softmax:
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Converts outputs into probability distributions (values between 0 and 1 that sum to 1).
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Commonly used in the output layer for classification problems.
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✅ In short: Activation functions decide how signals flow through a neural network, making it capable of learning complex, real-world patterns.
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