Activation function progress in deep learning, Relu, Elu, Selu, Geli , mish, etc – include table and graphs – day 24

Activation Function Formula Comparison Why (Problem and Solution) Mathematical Explanation and Proof Sigmoid σ(z) = 1 / (1 + e-z) – Non-zero-centered output – Saturates for large values, leading to vanishing gradients Problem: Vanishing gradients for large positive or negative inputs, slowing down learning in deep networks. Solution: ReLU was introduced to avoid the saturation issue by having a linear response for positive values. The gradient of the sigmoid function is σ'(z) = σ(z)(1 – σ(z)). As z moves far from zero (either positive or negative), σ(z) approaches 1 or 0, causing σ'(z) to approach 0, leading to very small...

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159

Activation Function, Hidden Layer and non linearity. _ day 12

Understanding Non-Linearity in Neural Networks Understanding Non-Linearity in Neural Networks Non-linearity in neural networks is essential for solving complex tasks where the data is not linearly separable. This blog post explains why hidden layers and non-linear activation functions are necessary, using the XOR problem as an example. What is Non-Linearity? Non-linearity in neural networks allows the model to learn and represent more complex patterns. In the context of decision boundaries, a non-linear decision boundary can bend and curve, enabling the separation of classes that are not linearly separable. Role of Activation Functions The primary role of an activation function is...

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90

Activation Function _ day 11

Activation Functions in Neural Networks Activation Functions in Neural Networks: Why They Matter ? Activation functions are pivotal in neural networks, transforming the input of each neuron to its output signal, thus determining the neuron’s activation level. This process allows neural networks to handle tasks such as image recognition and language processing effectively. The Role of Different Activation Functions Neural networks employ distinct activation functions in their inner and outer layers, customized to the specific requirements of the network: Inner Layers: Functions like ReLU (Rectified Linear Unit) introduce necessary non-linearity, allowing the network to learn complex patterns in the data....

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