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Conceptnumerical integration error

Numerical Integration Error

A numerical inaccuracy in physical simulation caused by integrating over discrete time steps. It can produce artifacts such as energy non-conservation, which reinforcement learning agents exploit to obtain additional reward.

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Nov 2

In the simulated swimmer case, the agent learned to rapidly wiggle small body parts, using the extra energy accumulated from numerical integration errors to swim faster.

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Nov 2

Common methods for detecting numerical exploitation include: monitoring the power spectrum of action frequencies, checking whether state variables take on non-physical extreme values, and cross-validating with different integrators or different step sizes.

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