2 papers
cs.PL2025
Dual-Numbers Reverse AD for Functional Array Languages
Tom Smeding, Mikołaj Konarski, Simon Peyton Jones +1
The standard dual-numbers construction works well for forward-mode automatic differentiation (AD) and is attractive due to its simplicity; recently, it also has been adapted to rev…
math.NA2025
On Stochastic Rounding with Few Random Bits
Andrew Fitzgibbon, Stephen Felix
Large-scale numerical computations make increasing use of low-precision (LP) floating point formats and mixed precision arithmetic, which can be enhanced by the technique of stocha…