Equation 4 · Part 3 · How AI Accelerator Architecture Actually Works
multiplication
multiplication
What this part means
Multiply the quantities on either side.
Its job in the formula
Multiply the quantities on either side.
Full expression→multiplication→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
Learn the underlying idea
Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.
Open the illustrated multiplication: combining factors 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.