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  • GeGLU (GELU-based Gated Linear Unit) Formula

GeGLU Activation Calculation

You are debugging a neural network layer that uses the GeGLU activation function, defined as: GeGLU(h) = GELU(hW₁ + b₁) ⊙ (hW₂ + b₂), where represents the element-wise product. Given the case details below, calculate the final output value. Show the results of the two intermediate linear transformations before the final calculation.

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  • An activation function is defined by the formula: f(x) = GELU(xW₁ + b₁) ⊙ (xW₂ + b₂), where x is the input, W and b are learnable parameters, GELU is an activation function, and denotes an element-wise product. Based on this structure, what is the primary purpose of the (xW₂ + b₂) component?

  • GeGLU Activation Calculation

  • In the GeGLU activation function, defined as σ_geglu(h) = σ_gelu(hW₁ + b₁) ⊙ (hW₂ + b₂), both of the linear transformations (hW₁ + b₁) and (hW₂ + b₂) are passed through the GELU activation function before the element-wise product is computed.