Equation 10 · Part 6 · How AI Accelerator Architecture Actually Works
addition
addition
What this part means
Add the term after the plus sign to the term or group before it.
Its job in the formula
Add the term after the plus sign to the term or group before it.
Full expression→addition→Article meaning
The passage around this formula
Consider an idealised r c array holding one operand stationary, with a second operand streamed through in a sequence of length L — for instance, L activation vectors passed through a weight-stationary array of r input rows and c output columns. Before the first result emerges, the data has to propagate across the array’s diagonal, costing roughly r + c - 2 cycles; after the last input enters, the same number of cycles is needed to drain the pipeline. Total latency is therefore approximately . while the useful work performed is r c L multiply-accumulates — one per cell, once per streamed step, in steady state. Dividing useful work by the total cell-cycles…
Learn the underlying idea
Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.
Open the illustrated addition and subtraction in an equation guide →
Sources cited in the article section
- [7] Roofline: An Insightful Visual Performance Model for Floating-Point Programs and Multicore Architectures ↗
- [2] In-Datacenter Performance Analysis of a Tensor Processing Unit ↗
- [6] SCALE-Sim: Systolic CNN Accelerator Simulator ↗
These citations provide research context; check each source for the exact claim it supports.