How many real robot trials is a simulator worth? Numbers from SIMPLER

On SIMPLER's published rates (36 policy-task cells), a calibrated simulator is worth about 10 real trials, though its rank correlation with reality is 0.90.

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SIMPLER (Li et al., 2024, arXiv:2405.05941) evaluates robot manipulation policies in a simulator built to match a real setup, and reports that the two rank policies almost identically. We took its published success rates for the same policies on the same tasks, real and simulated (36 policy-task cells, 8 tasks, the Visual Matching simulator), and asked a different question: for a new policy, how many real trials does the simulator replace?

Results (leave-one-cell-out, so a cell is never used to calibrate its own prediction):

  • Raw simulated success rate: mean squared error 0.021 against real, five times the sampling variance of the real trials the paper ran (0.004). Ten of 36 cells are off by 0.2 or more.
  • A linear calibration fitted on the other cells cuts it to 0.014 (RMSE 0.12). Still above the real-trial variance, so the real trials beat the calibrated simulator alone.
  • Break-even: about 10 real trials (bootstrap interval 5 to 26). With fewer real trials than that, the calibrated simulator is the better predictor of a new policy's success; with more, the real trials are.
  • The rank correlation is r = 0.90. High rank agreement and a usable level estimate are different things.

Caveats. Only policy-level rates are published, so this cannot test the stronger idea of pairing individual episodes. The simulator rates are treated as noise-free. The intervals are optimistic because cells share policies and tasks. The paper's text says 24 eggplant trials, but its real rates are multiples of 1/30, so we used 30.

The code, data transcription and pre-registered hypotheses are in research/sim2real-inference (milestone 4 of an open programme on certifying robot policies with a biased simulator).

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