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Our error analysis demonstrates that the deep learning performs very well, achieving an MAE of 0.050 ± 0.000 eV/atom; predicting with an absolute error of less than 0.120 eV/atom for 90% of the compounds in our test set (right).

Performance of our error estimate is demonstrated using examples.

For ease of notation we shall demonstrate our method using a Gaussian error model.

A comparative analysis among all alternative implementations demonstrated that error arose from structural weaknesses in the underlying model.

Testing the electronic system vs. paper-based methods demonstrated similar error rates and time to completion.

In Additional file 1: Table S-4, this is demonstrated by error propagation calculations.

BSAS demonstrated decreased error in methylation quantitation at each point in the standard curve from both species.

However, the accuracy of CGMs in the hypoglycemic range is poor as demonstrated by error grid analysis (19, 20).

Increment in the spatial dimension of the vortical track size was followed by a reduction in features and this lowered the tracking accuracy as demonstrated by our surface response error graphs.

Our proposed PT-SGR approach is demonstrated using synthetic (error corrupted) data from steady-state flow and transport experiments in categorical 7575- and 10,000-dimensional 2D conductivity fields.

We demonstrate with numerical results that away from the diffusion limit our method demonstrates second-order error convergence as the spatial mesh is refined with a fixed CFL number.

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