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Aligning AI-driven discovery with human intuition

About

As data-driven modeling of physical dynamical systems becomes more prevalent, a new challenge is emerging: making these models more compatible and aligned with existing human knowledge. AI-driven scientific modeling processes typically begin with identifying hidden state variables, then deriving governing equations, followed by predicting and analyzing future behaviors. The critical initial step of identification of an appropriate set of state variables remains challenging for two reasons. First, finding a compact set of meaningfully predictive variables is mathematically difficult and under-defined. A second reason is that variables found often lack physical significance, and are therefore difficult for human scientists to interpret. We propose a new general principle for distilling representations that are naturally more aligned with human intuition, without relying on prior physical knowledge. We demonstrate our approach on a number of experimental and simulated system where the variables generated by the AI closely resemble those chosen independently by human scientists. We suggest that this principle can help make human-AI collaboration more fruitful, as well as shed light on how humans make scientific modeling choices.

Kevin Zhang, Judah Goldfeder, Hod Lipson• 2024

Related benchmarks

TaskDatasetResultRank
Intrinsic Dimension EstimationReaction-diffusion
Intrinsic Dimension2.17
2
Intrinsic Dimension EstimationCircular motion
Intrinsic Dimension2.13
2
Intrinsic Dimension EstimationSingle pendulum
Intrinsic Dimension2.17
2
Intrinsic Dimension EstimationDouble pendulum
Intrinsic Dimension4.02
2
Intrinsic Dimension EstimationElastic pendulum
Intrinsic Dimension6
2
Intrinsic Dimension EstimationSwing stick
Intrinsic Dimension4.26
2
State Variable DiscoveryCircular motion
Smoothness2.52
2
State Variable DiscoveryDouble pendulum
Smoothness1.84
2
State Variable DiscoverySwing stick
Smoothness6.26
2
State Variable DiscoveryAir dancer
Smoothness3.79
2
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