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Published at December 3

Benchmarking symbolic regression constant optimization schemes

cs.LG

cs.AI

physics.comp-ph

Released Date: December 3, 2024

Authors: L. G. A dos Reis, V. L. P. S. Caminha, T. J. P. Penna

Arxiv: http://arxiv.org/pdf/2412.02126v1

Refer to caption

	Reference Name	Expression	Interval	Specific Set
0	F1	$1.57+24.3x$	[-5, 5]	$x^{2}$
1	F4	$-2.3+0.13\sin(x)$	[-5, 5]	$\sin(x)$ , $cos(x)$
2	F5	$3+2.13\ln(x)$	[0.1, 10]	$\ln(x)$
3	F6	$1.3+0.13\sqrt{x}$	[0.1, 10]	$\sqrt{x}$
4	F7	$213.81(1-e^{-0.547237x})$	[0.1, 10]	$e^{x}$ , $e^{-x}$
5	F11	$6.87+11\cos(7.23x^{3})$	[-5, 5]	$\cos(x)$ , $\sin(x)$ , $x^{3}$
6	Logistic	$10e^{-0.5e^{-0.5+2}}$	[-5, 15]	$e^{x}$ , $e^{-x}$
7	Projectile Motion	$6x-9.8x^{2}$	[-5, 5]	$x^{2}$
8	Damped Pendulum	$e^{-x/10}(3\cos(2x))$	[-5, 5]	$e^{x}$ , $e^{-x}$ , $\cos(x)$ , $\sin(x)$
9	Radioactive Decay	$10e^{-0.5x}$	[-5, 5]	$e^{x}$ , $e^{-x}$