notesum.ai
Published at November 21Convex Approximation of Probabilistic Reachable Sets from Small Samples Using Self-supervised Neural Networks
cs.RO
Released Date: November 21, 2024

| 2d-binomial | NN(our method) | BB(100) | ILP(100) |
|---|---|---|---|
| confidence level | MSE(range) | MSE(range) | MSE(range) |
| 80% | 0.42%(79.12% - 82.05%) | 11.04%(87.56% - 99.42%) | 3.66%(72.00% - 93.54%) |
| 85% | 0.35%(84.45% - 86.63%) | 10.18%(91.98% - 99.80%) | 3.70%(72.17% - 95.76%) |
| 90% | 0.24%(89.51% - 91.01%) | 8.20%(93.26% - 99.94%) | 4.98%(86.16% - 98.78%) |
| 95% | 0.62%(94.08% - 96.29%) | 4.20%(94.84% - 99.99%) | 3.25%(92.45% - 99.73%) |
| 99% | 0.87%(97.66% - 99.94%) | 1.87%(97.09% - 99.99%) | 0.80%(98.97% - 99.99%) |