Equation 5 · Part 1 · How AI Datacenter Interconnects Actually Work
Symbol p
What this part means
p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol p→Article meaning
The passage around this formula
Take the canonical case: a ring all-reduce across p accelerators, each holding a shard of a gradient vector. Mechanically, at the level this article has been building toward, each of the 2(p-1) steps in a ring reduce-scatter-then-all-gather is nothing more exotic than one RDMA WRITE of the kind described above. A collective library such as NCCL…
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the article section
- [5] Introduction: NVIDIA Scalable Hierarchical Aggregation and Reduction Protocol (SHARP) ↗
- [6] Scaling Distributed Machine Learning with In-Network Aggregation ↗
These citations provide research context; check each source for the exact claim it supports.