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sade_95
searching PlanetScale…
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3 ms
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by
sade_95
3mo ago
Thanks for the advice; you're absolutely right ,it was just to grab attention.
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sade_95
3mo ago
Thanks for the epicycles clarification, I did not know each body had its own fitted set. This makes the parallel with overfitting even stronger. And I think we agree on the real problem: a good fit on one problem, made with a universal appr
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sade_95
3mo ago
This is exactly the niche I had in mind, thank you for the concrete example. Where theory works (small deltas, linear regime) nobody needs my tool. Where turbulence starts, engineers already live with empirical correlations and weird expone
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sade_95
3mo ago
You are right, and I concede the point. I chose the operators and the parsimony rule knowing already that laws like Kepler exist. So "Kepler took 10 years" is a bit of theater, the honest claim is only: if a short law exists in th
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sade_95
3mo ago
Funny you ask, I actually spent a weekend on exactly that. Took the SPARC rotation curve data (~2700 points, 150+ galaxies), built the radial acceleration relation from the raw files and let the engine search. Honest result: it recovered a0
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sade_95
3mo ago
Fair point, and nyrikki has it right: the engine never sees units. Everything is normalized to dimensionless magnitudes before the search, so that formula is an empirical fit on pure numbers, not a physical law. I should say that more clear
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sade_95
3mo ago
You're right, and I'd go further: the inductive bias isn't incidental, it's the whole product. Short trees over {+, *, sqrt, exp, ...} plus a parsimony penalty is basically Occam's razor made executable. A bias-free
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sade_95
3mo ago
Thanks for the formatting tip, noted. Isn't e different for each planet? Yes, each planet got its own e (Mercury 0.206, Venus 0.007, Earth 0.017...). The correlation still comes out at 1.00000 because all eccentricities are small while
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sade_95
3mo ago
Good questions — I ran all three: Semi-minor axis: I added b as a second feature (b = a·sqrt(1−e²), so corr(a,b) = 1.00000 to 5 decimals; Mercury is the only planet where they differ by more than 2%). It still picked a and ignored b complet
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sade_95
3mo ago
What My Project Does GP_ELITE is a symbolic regression engine in pure Python: given (X, y) data, it searches for a readable mathematical formula linking them, instead of a black-box model. To show what that means concretely: I gave it nothi
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Pure-Python symbolic regression that rediscovered Kepler's law from 8 data point
(github.com)
44 points
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sade_95
3mo ago
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25 comments
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My symbolic regression engine rediscovered Kepler's Third Law from raw data
(github.com)
3 points
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sade_95
3mo ago
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0 comments
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sade_95
3mo ago
This is an incredibly refreshing piece of work. The decision to use a content-addressed heap over the Leech lattice Lambda_24 canonicalized under the Conway group Co_0 to achieve O(1) structural equality is brilliant, especially for compile