## Diagram: Autoregressive Decoding vs. Draft-Verify Decoding ### Overview The image presents a comparison between Autoregressive Decoding and a Draft-Verify decoding process. It illustrates the flow of information and the steps involved in each method. ### Components/Axes * **Left Side:** Autoregressive Decoding * Input: ŷ₁ , ŷ₂, ŷ₃, ŷ₄ * Output: ŷ₂, ŷ₃, ŷ₄, ŷ₅ * **Right Side:** Draft-Verify Decoding * Draft Stage: * Input: ŷ₁ * Output: ŷ₁, ỹ₂, ỹ₃, ỹ₄, ỹ₅ * Verify Stage: * Input: ŷ₁, ỹ₂, ỹ₃, ỹ₄, ỹ₅ * Output: ŷ₂, ŷ₃, ŷ₄, ŷ₅, ŷ∞ * **Legend (Bottom-Right):** * Green Checkmark: ŷ. = ỹ. * Red X: ŷ. ≠ ỹ. * **Annotation (Right of Verify Block):** "executed in parallel" ### Detailed Analysis **Autoregressive Decoding (Left):** * The "Autoregressive Decoding" block receives inputs ŷ₁, ŷ₂, ŷ₃, and ŷ₄. * It produces outputs ŷ₂, ŷ₃, ŷ₄, and ŷ₅. * Each output ŷᵢ is dependent on the previous output ŷᵢ₋₁. **Draft-Verify Decoding (Right):** * The "Draft" block receives input ŷ₁. * It produces outputs ŷ₁, ỹ₂, ỹ₃, ỹ₄, and ỹ₅. * The "Verify" block receives inputs ŷ₁, ỹ₂, ỹ₃, ỹ₄, and ỹ₅ from the Draft block. * The Verify block outputs ŷ₂, ŷ₃, ŷ₄, ŷ₅, and ŷ∞. * The outputs ŷ₂, ŷ₃, and ŷ₄ are marked with green checkmarks, indicating that ŷ. = ỹ.. * The output ŷ₅ is marked with a red X, indicating that ŷ. ≠ ỹ.. ### Key Observations * Autoregressive decoding is a sequential process, while Draft-Verify decoding has a parallel verification step. * The Draft-Verify process involves a "Draft" stage that generates predictions (ỹᵢ), followed by a "Verify" stage that checks these predictions against the true values (ŷᵢ). * The lightning bolt symbol on the Draft block is not explained. ### Interpretation The diagram illustrates a comparison between two decoding methods: Autoregressive Decoding and Draft-Verify Decoding. Autoregressive decoding is a sequential process where each output depends on the previous one. In contrast, Draft-Verify decoding attempts to parallelize the process by first generating a draft of the output and then verifying it. The green checkmarks and red X indicate whether the draft predictions match the true values. The diagram suggests that the Draft-Verify method can potentially speed up decoding by performing verification in parallel, but it also introduces the possibility of errors (as indicated by the red X). The ŷ∞ output from the Verify stage is not explained, but it may represent a final or corrected output.