Equation 7 · AI Memory Systems and the Bandwidth Wall in Practice: An Advanced Technical Guide
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the number of bytes. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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with L transformer layers, H key-value heads, head dimension, b batch size, s sequence length and p bytes per stored element, the factor of two counting keys and values separately. Every strategy below is, mechanically, an attempt to shrink one term of this product without shrinking the model’s effective context.
Sources cited in the article section
- [4] Efficient Memory Management for Large Language Model Serving with PagedAttention ↗
- [5] KIVI: A Tuning-Free Asymmetric 2bit Quantization for KV Cache ↗
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