GeGLU (GELU-based Gated Linear Unit) Formula

Applications of GeGLU in Large Language Models

An activation function is constructed by taking an input, applying two separate linear transformations to it, and then combining the results. One transformed output is passed through a non-linear 'gating' function, and the result is then multiplied element-wise with the other transformed output. For this entire structure to be correctly identified as a GeGLU, what must be true about the gating function?

Analyzing a Gating Mechanism

Analysis of a Custom Activation Unit

A language model is tasked with improving a Chinese-to-English translation. The desired process is for the model to first explicitly identify any errors in an initial translation and then generate a corrected version based on that analysis. Which of the following prompt structures correctly instructs the model to perform this specific two-step task?

The Gaussian Error Linear Unit (GELU) activation function is defined as $\sigma_{\text{gelu}}(h) = h \cdot \Phi(h)$, where $\Phi(h)$ represents the cumulative distribution function (CDF) of the standard normal distribution (a bell curve centered at zero). Based on this formula, what is the output of the function for an input value of $h=0$?

The GELU activation function is defined as $\sigma_{\text{gelu}}(h) = h \cdot \Phi(h)$, where $\Phi(h)$ is the cumulative distribution function (CDF) of the standard normal distribution. Based on the properties of the CDF, how does the output of the GELU function behave for a very large negative input (i.e., $h \to -\infty$) versus a very large positive input (i.e., $h \to +\infty$)?

GeGLU (GELU-based Gated Linear Unit) Formula

An activation function is defined by the formula: Output = σ(Input ⋅ W₁ + b₁) ⊙ (Input ⋅ W₂ + b₂) where Input is a vector, W₁, W₂, b₁, b₂ are learnable parameters, σ is a non-linear function (such as the sigmoid function), and ⊙ denotes the element-wise product. What is the primary functional role of the σ(Input ⋅ W₁ + b₁) component in this architecture?

Calculating the Output of a Gated Activation

In the formula for a gated activation, $\sigma(\mathbf{hW}_1 + \mathbf{b}_1) \odot (\mathbf{hW}_2 + \mathbf{b}_2)$, what is the primary reason that the two resulting vectors, one from each parallel path, must have the same dimensions?

GeGLU (GELU-based Gated Linear Unit) Formula