Exhaustive enumeration of functions up to complexity k across operator bases shows the integrability fraction declines with k but rises sharply with logarithms, and the method discovers three integrals that resist SymPy, Mathematica, RUBI, FriCAS, Maxima, and Giac.
On the functional form of the radial acceleration relation , volume =
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Exhaustive symbolic regression on mock weak lensing excess surface density data recovers NFW profiles at 5% fractional errors with as few as 20 clusters but favors simpler functions at higher uncertainties because errors are smallest in the outskirts.
Post-selection with DL or FBF after multi-objective GP search improves test-set performance over AIC/BIC baselines on noisy synthetic and real regression tasks, while using DL directly as fitness often causes premature convergence to overly simple models.
Pulsar timing tests the vector RAR but current measurements are dominated by the Solar acceleration, producing similar chi-squared fits to a constant-acceleration model.
New SBF distance confirms NGC5846_UDG1 lies in the NGC 5846 group and reconciles prior GC counts to ~50 members, supporting a massive dark matter halo.
citing papers explorer
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Exhaustive Symbolic Integration: Integration by Differentiation and the Landscape of Symbolic Integrability
Exhaustive enumeration of functions up to complexity k across operator bases shows the integrability fraction declines with k but rises sharply with logarithms, and the method discovers three integrals that resist SymPy, Mathematica, RUBI, FriCAS, Maxima, and Giac.
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Constraining dark matter halo profiles with symbolic regression
Exhaustive symbolic regression on mock weak lensing excess surface density data recovers NFW profiles at 5% fractional errors with as few as 20 clusters but favors simpler functions at higher uncertainties because errors are smallest in the outskirts.
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Guiding Multi-Objective Genetic Programming with Description Length Improves Symbolic Regression Solutions
Post-selection with DL or FBF after multi-objective GP search improves test-set performance over AIC/BIC baselines on noisy synthetic and real regression tasks, while using DL directly as fitness often causes premature convergence to overly simple models.
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The Pulsar Radial Acceleration Relation
Pulsar timing tests the vector RAR but current measurements are dominated by the Solar acceleration, producing similar chi-squared fits to a constant-acceleration model.
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Revisiting the distance and the globular cluster system of the remarkable galaxy UDG1 in the NGC 5846 group
New SBF distance confirms NGC5846_UDG1 lies in the NGC 5846 group and reconciles prior GC counts to ~50 members, supporting a massive dark matter halo.