In a causal self-attention mechanism, a relative position bias is added to the dot product of each query-key pair. The bias is determined by bucketing the relative position offset, which is calculated as (query index - key index). Given the following bucketing rules:

• Offset 0 → Bucket 0
• Offset 1 → Bucket 1
• Offsets 2 or 3 → Bucket 2
• Offsets 4 or greater → Bucket 3

Match each query-key pair below to the correct bias bucket that would be applied.

A causal self-attention mechanism uses a relative position bias. The bias is determined by bucketing the relative position offset (query index - key index) according to these rules:

• Offset 0 → Bucket 0
• Offset 1 → Bucket 1
• Offsets 2 or 3 → Bucket 2
• Offsets 4 or greater → Bucket 3

The following grid shows the calculated bias bucket index for each query-key pair in a sequence. One of the bucket indices is incorrect. Identify the query-key pair with the incorrectly calculated bias bucket.

(Key Index) 0 1 2 3 4 5 +------------------ (Q) 0 | 0 X X X X X (u) 1 | 1 0 X X X X (e) 2 | 2 1 0 X X X (r) 3 | 2 2 1 0 X X (y) 4 | 3 1 2 1 0 X 5 | 3 3 2 2 1 0

In a causal self-attention mechanism, a relative position bias is added to the dot product of each query-key pair. The bias is determined by bucketing the relative position offset (query index - key index) according to these rules:

• Offset 0 → Bucket 0
• Offset 1 → Bucket 1
• Offsets 2 or 3 → Bucket 2
• Offsets 4 or greater → Bucket 3

Which of the following statements accurately describes a structural property of the resulting bias matrix?