In sequence modeling architectures, standard notation is used to represent the inputs and outputs. A source sequence is typically denoted as $x_1...x_m$, where $m$ represents the length of the source sequence. Its corresponding sequence of embedding vectors is denoted as $\mathbf{e}_{1}^{x}...\mathbf{e}_{m}^{x}$. Similarly, the target sequence that the model aims to generate is denoted as $y_1...y_n$, with length $n$, and its corresponding embedding sequence is represented as $\mathbf{e}_{1}^{y}...\mathbf{e}_{n}^{y}$.