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. 2021 Jan 11;23(1):95. doi: 10.3390/e23010095

Table 1.

Convergence rates for the ground state energy of the harmonic oscillator in relation to the dimension. QMC: quasi-Monte Carlo.

n ε0 M for the Loss Function Adam Optimizer Epochs M for the Smolyak Quadrature Smolyak Relative Error % Relative Error for QMC with M=105 Points%
1 1 100 50,000 127 0.004 0.003
2 2 1000 20,000 769 1.416 1.226
3 3 5000 50,000 2815 1.110 1.608
6 6 50,000 80,000 40,193 - 1.40
9 9 50,000 50,000 242,815 230.366 5.816