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The attention mechanism, worked out by hand

Queries, keys and values with real numbers. Why the scaling factor is sqrt(d_k), what multi-head attention buys, and how causal masking works.

Machine Learning Ai Python

9 min readAug 29, 2026vaibhavkothari

Transformer from scratch in PyTorch, block by block

A working decoder-only transformer in 120 lines. Pre-norm, residual streams, why the MLP is 4x wide, weight tying, stable initialisation.

Machine Learning Ai Python

10 min readAug 29, 2026vaibhavkothari