Validation-based model selection for 13C metabolic flux analysis with uncertain measurement errors
Fig 3
Example of how model selection is affected by σb, for the polynomial model. Error bars indicate data sampled from a 7th order polynomial y = h7(x, u0)+ϵ where ϵ is N(0, σr), σr = 0.2. Colours indicate estimation data Dest (blue) and validation data Dval (red) used by the “Validation” method. Solid curves in (A–B) indicate polynomials chosen by an estimation-based method with different “believed” standard deviation σb. (A) σb = 2, chosen model h1. (B) σb = 0.2 (the true value), chosen model h7 (the correct model). (C) σb = 0.02, chosen model h14.