Open question · OPEN-REPRESENTATION-LOSS-ESTIMATION

Can representation and binning loss be estimated separately?

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Meaning

Determine how to estimate both contributions rather than only their combined effect.

Statement

Construct cross-fitted estimators and uncertainty bars for I_R=Var(E[s|R]) and I_q=Var(E[s|q(R)]) when truth scores are available only on simulation.

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The question in full

Estimating representation versus quantization loss

When truth scores exist only on simulation, devise cross-fitted estimators and uncertainty bars for IR=Var⁡(E[s∣R])I_R=\operatorname{Var}(E[s\mid R]) and Iq=Var⁡(E[s∣q(R)])I_q=\operatorname{Var}(E[s\mid q(R)]).

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