An auto-regressive model processes a sequence of four tokens: token_0, token_1, token_2, token_3. The model calculates the probability of each token based on the numerical representations (embeddings) of all preceding tokens. Which of the following expressions correctly represents how the model would calculate the probability of token_2?

An auto-regressive language model is calculating the probability of the three-token sequence x_0, x_1, x_2. Arrange the following probability calculations in the order they would be performed by the model.

Debugging a Language Model's Probability Calculation