Find the Spring Law

measured position true motion motion under the law the machine found

The machine says

Measurement noise σ

Rent per term γ

Periods observed

Data points on screen

Graded prices — x costs 2, x³ costs 4, velocity terms more Second experiment — also release the mass from a smaller swing Bootstrap vote — keep only terms that win ≥ 80% of 30 resamples

Share of resamples in which each term made the winning law

1 · One loss, one exchange rate: who wins at each rent γ, on this data

γ = 04812

2 · Same spring, 20 fresh noise draws: which law wins each time

True law: ẍ = −4·x