Equation 1 · Part 4 · AI Memory Systems and the Bandwidth Wall in Practice: An Advanced Technical Guide
Symbol d_h
What this part means
is one factor in the product that computes the quantity on the left.
Its job in the formula
is one factor in the product that computes the quantity on the left.
Full expression→Symbol d_h→Article meaning
The passage around this formula
…for the average context length will be wrong for the tail, and a naive contiguous allocator sized for the tail will waste most of its memory on requests that never reach it. 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.
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
See this notation across published equations →
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 ↗
These citations provide research context; check each source for the exact claim it supports.