This felt manageable until they asked about numerical stability and I had to actually justify the max subtraction trick rather than just mention it.
Start by writing the forward pass equations for scaled dot-product attention, explicitly including the scaling factor and masking before softmax. Then implement a numerically stable softmax by subtracting the row-wise maximum, and finally analyze time and memory complexity and discuss edge cases like all-masked rows and extreme values.
Pro tip: Mention that masking is applied by adding a large negative value (e.g., -1e9) to masked positions before softmax, and that for fully masked rows you should handle the division by zero to avoid NaNs. This shows attention to numerical stability and production readiness.
Clearly state the scaled dot-product attention formula: Attention(Q, K, V) = softmax(Q K^T / sqrt(d_k) + M) V, where M is the mask (0 for allowed, -inf for masked).
For each row, subtract the maximum value before exponentiation to prevent overflow, then normalize by the sum of exponentials.
Add the mask (with large negative values for masked positions) to the scaled scores before softmax, ensuring masked positions get near-zero attention weights.
Multiply the attention weights by V to get the final output, and handle any edge cases like all-masked rows by setting their output to zero or a small epsilon.
Discuss time complexity O(n^2 d) and memory O(n^2) for sequence length n and dimension d, and cover edge cases such as all-masked rows, very large scores, and zero-length sequences.
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