CodeUniverse · package
Kwant
many-moment KPM Jackson-window sensitivity
AD speed-up on the same differentiation workload (against finite differences) Speed-up: 239.2×
High-dimensional demo
many-moment KPM Jackson-window sensitivity
Supplied demo scenario wording.
FD components requested 1 – 256 · AD components 4096
View demo measurements
| Measure | Value |
|---|---|
| AD median (s) | 0.00008166697807610035 |
| FD median (s) | 0.019538333057425916 |
| FD / AD | 239.24398230113727 |
| Max scaled error | 3.649455412348124e-13 |
| AD components | 4096 |
| FD components requested | 256 |
| AD parameters | 256 |
| Repeats | 9 |
| FD components requested | AD median (s) | FD median (s) | FD / AD | Max scaled error | AD components |
|---|---|---|---|---|---|
| 1 | 4096 | 0.000077415956184268 | 0.00007758301217108965 | 1.0021579012267705 | 1.5508118708206908e-14 |
| 2 | 4096 | 0.00009324995335191488 | 0.00014249992091208696 | 1.52815005037384 | 1.5508118708206908e-14 |
| 4 | 4096 | 0.00008520798292011023 | 0.0003046670462936163 | 3.575569281803886 | 1.6913879151425615e-14 |
| 8 | 4096 | 0.0000807089963927865 | 0.0006000419380143285 | 7.43463510677427 | 3.085171820706861e-14 |
| 16 | 4096 | 0.00008112506475299597 | 0.0011916660005226731 | 14.68924560061648 | 4.3989361849308684e-14 |
| 32 | 4096 | 0.00008000002708286047 | 0.002377999946475029 | 29.72498926796615 | 8.555883865973835e-14 |
| 64 | 4096 | 0.0000786659074947238 | 0.00469620805233717 | 59.6981361036501 | 2.3246633567772235e-13 |
| 128 | 4096 | 0.00008174998220056295 | 0.009472374920733273 | 115.87005483981676 | 2.3246633567772235e-13 |
| 256 | 4096 | 0.00008166697807610035 | 0.019538333057425916 | 239.24398230113727 | 3.649455412348124e-13 |