Research map / Probabilistic and scientific modeling / Variational and generative sampling
Functional Generalized Empirical Likelihood Estimation for Conditional Moment Restrictions
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Treat the divergence function as a hyperparameter (chosen by validation loss) rather than fixing χ2 (ablation) | FGEL estimators · Heteroskedastic linear regression | parameter estimation error ||θ-θ0||2 | Helped |
| Use FGEL (kernel or neural instrument class) instead of LSQ | FGEL estimators · IV regression (abs, linear, sin, step) | prediction MSE | Helped |
| Replace GMM-style χ2 with other f-divergences (KL, log) in FGEL (ablation) | FGEL estimators · Heteroskedastic linear regression | parameter estimation error | No clear effect |
| Kernel-FGEL vs NN-FGEL instrument class on IV regression | FGEL estimators · IV regression (abs, step, sin, linear) | prediction MSE | Mixed |
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