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Jamil: KV Cache Prefilling Scales Quadratically While Token Generation Is Linear

Umar Jamil · [Paper Club] Writing in the Margins: Chunked Prefill KV Caching for Long Context Retrieval · Sep 19, 2024 · at 42:03

AI researcher Umar Jamil explains the computational trade-offs between autoregressive generation and prefilling attention matrices for long contexts in LLMs.

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“Token generation, which means generating one token using whatever is in the kvcash, is linear with respect to whatever is in the side of the kvcash. Prefilling the kvcash is quadratic, and mostly because it's quadratic, it's very expensive, so we are talking about something that is linear with, Quadratic.”

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More from Umar Jamil

Assertion Supported
Jamil: Writing in the Margins solves the lost-in-the-middle problem
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Umar Jamil Sep 19, 2024 ▶ 22:54 [Paper Club] Writing in the Margins: Chunked Prefill KV Caching for Long Context Retrieval
Assertion Supported
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Umar Jamil Sep 19, 2024 ▶ 13:32 [Paper Club] Writing in the Margins: Chunked Prefill KV Caching for Long Context Retrieval
Assertion Not checkable as stated
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Umar Jamil Sep 19, 2024 ▶ 6:07 [Paper Club] Writing in the Margins: Chunked Prefill KV Caching for Long Context Retrieval
Assertion Supported
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“As you can see, for example smaller models have a better more more improvement.”
Umar Jamil Sep 19, 2024 ▶ 14:20 [Paper Club] Writing in the Margins: Chunked Prefill KV Caching for Long Context Retrieval
Insight
Jamil: Writing in the Margins avoids re-prefilling tokens, halving compute cost
“Again, to the language model to generate the answer, and it would cost you another million, because the model has to reprocess this prefilling again of one million tokens, so it would cost you two million tokens, but with writing in the margins, it would cost …”
Umar Jamil Sep 19, 2024 ▶ 16:43 [Paper Club] Writing in the Margins: Chunked Prefill KV Caching for Long Context Retrieval
Insight
Masking out prior KV cache tokens pushes autoregressive transformers out of distribution
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Umar Jamil Sep 19, 2024 ▶ 33:09 [Paper Club] Writing in the Margins: Chunked Prefill KV Caching for Long Context Retrieval
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