In a causal self-attention mechanism, a linear relative position bias is added to the attention scores. The bias for a query at position 'i' attending to a key at position 'j' is calculated as B = -β * (i - j) for j ≤ i, where β is a positive scalar. How would the attention behavior of a model using a large positive β value (e.g., β = 1.0) compare to a model using a small positive β value (e.g., β = 0.1)?

Calculating Linear Relative Position Bias

In a causal self-attention mechanism, a linear penalty is added to the query-key dot products based on their relative distance. The penalty for a query at position i and a key at position j is calculated as -β * (i - j) where j ≤ i and β is a positive constant. For a query at position 4 (i=4), which of the following lists correctly represents the penalties applied to the keys at positions 0 through 4 (j=0, 1, 2, 3, 4) respectively?