Table 3.
Comparison of run times (in seconds) for a PET imaging problem on the simulated data in (30). The image has p = 64 × 64 = 4, 096 pixels and is interrogated by d = 2, 016 detectors. The columns labeled Function refer to the converged value of the objective function. The results under the heading QN(10) on CPU invoke quasi-Newton acceleration (42) with 10 secant conditions.
Penalty μ | CPU
|
GPU
|
QN(10) on CPU
|
||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Iters | Time | Function | Iters | Time | Function | Speedup | Iters | Time | Function | Speedup | |
0 | 100000 | 14790 | −7337.152765 | 100000 | 282 | −7337.153387 | 52 | 6549 | 2094 | −7320.100952 | n/a |
10−7 | 24457 | 3682 | −8500.083033 | 24457 | 70 | −8508.112249 | 53 | 251 | 83 | −8500.077057 | 44 |
10−6 | 6294 | 919 | −15432.45496 | 6294 | 18 | −15432.45586 | 51 | 80 | 29 | −15432.45366 | 32 |
10−5 | 589 | 86 | −55767.32966 | 589 | 2 | −55767.32970 | 43 | 19 | 9 | −55767.32731 | 10 |