The conditional superiority of fast silicon sampling
Organizations: Nanyang Technological University, Singapore
Abstract
Silicon sampling can produce surprisingly good population estimates at times. Does doing it fast attenuate such fidelity? In this study, we extend and assess ongoing work in silicon sampling by comparing the algorithmic fidelity of "fast" and "slow" modes of silicon sampling among a nationally representative sample of Singaporean survey respondents. We find that silicon sampling with contemporary frontier models remains a method in early development to be used only with great caution. While silicon samples are able to produce moderately faithful estimates of population means, they continue to understate opinion variance and distort the latent contextual space behind human opinions. Conditional on such limitations, we find "fast" modes of silicon sampling to be relatively superior to traditional "slow" modes of silicon sampling. Fast silicon sampling is significantly more efficient in compute resources and run-time while being monotonically superior to slower modes of sampling in algorithmic fidelity.
Figures & tables
| Runtime | Tokens | Cost (USD) | ||||
|---|---|---|---|---|---|---|
| Per run (s) | Aggregate (hr) | Per run | Aggregate (M) | Per run | Aggregate | |
| Slow Sampling | 20 | 335.3 | 4,000 | 241.440 | $0.010 | $603.60 |
| Fast Sampling | 3 | 50.3 | 1,450 | 87.522 | $0.005 | $301.80 |
| WVS | Slow sampling | Fast sampling | |||
| Mean | Mean | Delta | Mean | Delta | |
| Immigration | |||||
| Fills impt. job vacancies | 1.24 | 2.00 | 0.76 [0.87] | 2.00 | 0.75 [0.86] |
| Strengthens cultural diversity | 1.20 | 1.94 | 0.74 [0.85] | 1.91 | 0.72 [0.83] |
| Decreases crime | 1.04 | 1.51 | 0.47 [0.55] | 1.08 | 0.04 [0.05] |
| Provides asylum to the persecuted | 0.52 | 1.76 | 1.24 [1.51] | 1.30 | 0.79 [0.96] |
| Slow sampling | Fast sampling | ||||
|---|---|---|---|---|---|
| Mean | SD | Mean | SD | (Slow Fast) | |
| Immigration attitudes | 0.602 | 0.183 | 0.590 | 0.188 | *** |
| Moral attitudes | 0.589 | 0.142 | 0.569 | 0.149 | *** |
| WVS | Slow sampling | Fast sampling | |||
| SD | SD | Delta | SD | Delta | |
| Immigration | |||||
| Fills impt. job vacancies | 0.87 | 0.01 | -0.86*** | 0.03 | -0.84*** |
| Strengthens cultural diversity | 0.87 | 0.21 | -0.66*** | 0.25 | -0.62*** |
| Decreases crime | 0.86 | 0.51 | -0.35*** | 0.41 | -0.45*** |
| Provides asylum to the persecuted | 0.82 | 0.31 | -0.51*** | 0.38 | -0.44*** |
| Correlation with WVS | Mean deviation from WVS | Slow vs. fast | ||||||
|---|---|---|---|---|---|---|---|---|
| Slow | Fast | Bootstrap | Slow | Fast | Correlation | Mean | Max | |
| Opinions w.r.t. immigration | 0.28 | 0.42 | 0.998 | 0.62 | 0.171 | 0.50 | ||
| Opinions w.r.t. ethical norms | 0.57 | 0.69 | 1.000 | 0.93 | 0.066 | 0.30 | ||
| Tucker’s | ||||
|---|---|---|---|---|
| Source | Dim. 1 | Dim. 2 | ||
| Attitudes towards Immigration | Slow | 0.610 | 0.683 | 0.580 |
| Fast | 0.468 | 0.769 | 0.688 | |
| Bootstrap | 0.000 | 1.000 | 1.000 | |
| Ethical Norms | Slow | 0.744 | 0.487 | 0.585 |
| Fast | 0.756 | 0.484 | 0.597 | |