An auto-regressive model is processing a sequence of 4 tokens. To compute the output for the token at position i=2, it uses a causal attention mechanism. Given the value vectors and the calculated attention weights below, what is the resulting output vector for this position?

Value Vectors:

• v_0 = [1.0, 0.0]
• v_1 = [0.0, 2.0]
• v_2 = [3.0, 1.0]
• v_3 = [2.0, 2.0]

Attention Weights for position i=2:

• Weight for v_0: 0.1
• Weight for v_1: 0.3
• Weight for v_2: 0.6

When calculating the output for the token at position i=5 in a sequence using a causal attention mechanism, the value vector from position j=6 (v_6) is incorporated into the weighted sum.

Given the formula for the output of a causal attention mechanism for a specific query vector q_i: $\text{Att}(\mathbf{q}_i, \mathbf{K}_{\leq i}, \mathbf{V}_{\leq i}) = \sum_{j=0}^{i} \alpha(i, j) \mathbf{v}_j$ Match each component of the formula to its correct description.