Symbol i
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where P is the target property, is a structural descriptor vector (lattice parameters, coordination, bonding topology), and are parameters fit to a training set \{(, )\} . The equation is trivial; the content is entirely in what includes and what range of the training set spans. A model fit only on cubic perovskites extrapolates poorly to a layered structure even if the underlying physics is continuous, because f was never asked to fit that region.
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Equation 7 · Materials Science
How Materials Discovery and Degradation Actually Work
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
where P is the target property, is a structural descriptor vector (lattice parameters, coordination, bonding topology), and are parameters fit to a training set \{(, )\} . The equation is trivial; the content is entirely in what includes and what range of the training set spans. A model fit only on cubic perovskites extrapolates poorly to a layered structure even if the underlying physics is continuous, because f was never asked to fit that region.
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