$$\odot$$

Equation 17 · Open Models

How Llama's Architecture Actually Works, Generation by Generation

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Two independent linear projections of the residual stream are formed; one is passed through the gate and multiplied element-wise ( $\odot$ ) against the other; the product is projected back down. Shazeer’s own results reported the gated variants outperforming the plain ReLU feed-forward block across the language modelling and fine-tuning tasks tested, at matched parameter and compute budgets [ 6 ] . Because the gate consumes an extra weight matrix, Llama’s feed-forward hidden dimension is set below the naive 4d multiplier used in the original transformer, to hold total parameters roughly constant against a non-gated block of the same width — an accounting detail visible in the hyperparameter…

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