We weight them by liquidity, and as a rough measure we use the mid price divided by the bid-ask spread (we actually use relative weights, so this one is divided by the sum of all). Then again, as objective function we don't use the squared sum of errors, but rather something close to it. If the quoting error is actually within the bid-ask spread, then the error contributes only marginally (divided by a constant, normally 10). The intention is to allow for "free" movement of the curve within the bid-ask spread but to penalize any result that would put the value outside of it.
Mit freundlichen Grüßen / Kind regards
Dr. Andres Hernandez
Senior Financial Engineer
Business Analytics
Risk Analytics
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