CrackML by @ml.with.umang
Interview questions / ML Math
ML Math interview question

Attention Score From Q, K, V

Given small Q, K, and V matrices, compute scaled dot-product attention by hand.

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The 60-second answer

Compute raw scores QKᵀ and verify the resulting sequence-by-sequence matrix shape. Scale by √d_k to control score variance, apply any causal/padding mask, then softmax row-wise.

Build the answer in this order

1
Start with intuition

Compute raw scores QKᵀ and verify the resulting sequence-by-sequence matrix shape.

2
Write the mathematical object

Scale by √d_k to control score variance, apply any causal/padding mask, then softmax row-wise.

3
State assumptions

Multiply the attention weights by V to produce the weighted value representation.

4
Connect back to ML behavior

Track dimensions at every step; shape mistakes are usually more revealing than arithmetic mistakes in an interview.

A useful interview mental model

This is the shape of a strong answer—not a script to memorize.

01Definition
02Mechanism
03Trade-offs
04Failure modes
05When to use

Senior-level signal

  • Senior answers explain why the √d_k scale matters as dimensionality grows.
  • Distinguish self-attention from cross-attention by where Q versus K/V originate.

What the interviewer is really testing

Whether you can connect the math to optimization, uncertainty, model behavior, and a practical engineering decision.

Likely follow-up questions

What assumption makes this approach work?
When would you choose the strongest alternative instead?
What production or data failure mode changes your answer?

Common weak-answer patterns

  • Reciting a definition without mechanism or assumptions.
  • Claiming one technique is always better without a data regime.
  • Stopping before failure modes, validation, or deployment implications.