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# The KV Cache: Build It, Break It, Measure It

**[Medium](https://daily.dev/sources/medium_js)** · 20 min read · 0 upvotes · 0 comments

## Summary

A deep dive into KV caching for autoregressive LLM inference, built from scratch on GPT-2. Covers the mathematical justification for why past keys and values never change under causal attention, a ~120-line implementation loading real pretrained weights, a formal correctness proof, and three common bugs (wrong position offsets, incorrect causal masking during decode, batching pitfalls). Benchmarks on a free Colab T4 show 1.4–3.2× wall-clock speedups depending on prompt length. The post also quantifies the memory cost per token for models from GPT-2 to Llama-3.1-70B, and explains why the naive torch.cat cache implementation copies gigabytes unnecessarily — motivating preallocated static caches and CUDA graph compatibility.

## Full article

daily.dev links to this article rather than hosting it. Read it at the original source: <https://medium.com/@maitreyasuin21/the-kv-cache-build-it-break-it-measure-it-1051de20918b>

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Tags: [#nlp](https://daily.dev/tags/nlp), [#pytorch](https://daily.dev/tags/pytorch), [#ai-inference](https://daily.dev/tags/ai-inference)

[View this post on daily.dev](https://daily.dev/posts/the-kv-cache-build-it-break-it-measure-it-tfe16aucn)

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