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Conformal Generative Modeling with Improved Sample Efficiency through Sequential Greedy Filtering
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Proposes SCOPE-Gen, a sequential conformal prediction method that prunes i.i.d. samples from a black-box generative model with greedy diversity and quality filters, factorizing admissibility as a Markov chain so each step is calibrated with conformal prediction and needs far fewer admissibility queries than CLM.
Problem
Generative models lack statistical guarantees on their outputs; existing conformal language modeling (CLM) needs many costly admissibility checks during calibration, and multi-dimensional calibration parameters cannot be calibrated with standard conformal prediction.
Approach
Generate an initial set of i.i.d. samples, then sequentially prune it with greedy quality and diversity filters; the admissibility of the final set factorizes as a Markov chain, so each step's threshold is calibrated separately with one-dimensional conformal prediction, using early stopping of admissibility checks.
Key results
- On MIMIC-CXR at alpha=0.3, SCOPE-Gen uses about 4.2 admissibility queries versus 20 for CLM (about 21%).
- Calibration time on MIMIC-CXR is 0.072 s for SCOPE-Gen versus 113.677 s for CLM.
- SCOPE-Gen config. 1 gives the smallest prediction sets on TriviaQA with sum non-conformity (1.202 vs 2.011 for CLM).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace CLM with SCOPE-Gen | TriviaQA · TriviaQA | # Queries: 6.570 ± 0.210 -> 2.910 ± 0.229 | Helped |
| replace CLM with SCOPE-Gen | MIMIC-CXR · MIMIC-CXR | # Queries: 20.000 ± 0.000 -> 4.214 ± 1.011 | Helped |
| replace CLM with SCOPE-Gen | CNN/DM · CNN/DM | # Queries: 20.000 ± 0.000 -> 3.456 ± 0.478 | Helped |
| replace CLM with SCOPE-Gen | Molecular graph extension · Molecules | # Queries: 19.280 ± 0.223 -> 8.606 ± 0.594 | Helped |
| reduce CLM max sample limit to 10 | CLM · MIMIC-CXR | Frac. Reject: 0.240 ± 0.000 -> 0.817 ± 0.000 | Hurt |
| remove both filtering stages (ablation) | SCOPE-Gen · TriviaQA | Set Size: 1.202 ± 0.164 -> 2.050 ± 0.184 | Hurt |
| remove both filtering stages (ablation) | SCOPE-Gen · MIMIC-CXR | # Queries: 4.214 ± 1.011 -> 6.518 ± 0.310 | Hurt |
| apply quality filter before diversity filter (ablation) | SCOPE-Gen · MIMIC-CXR | Set Size: 7.390 ± 1.856 -> 7.848 ± 1.976 | Hurt |
| use only diversity filter (config. 2) (ablation) | SCOPE-Gen · MIMIC-CXR | Set Size: 7.390 ± 1.856 -> 5.839 ± 1.144 | Helped |
Surprising findings
- Reducing CLM's max sample limit to 10 raises rejected calibrations to 81.7% on MIMIC-CXR, far worse than SCOPE-Gen.
- CLM produces smaller prediction sets than SCOPE-Gen under the max non-conformity on some tasks.
Limitations
- Experiments use automated admissibility functions rather than human domain experts.
- Admissibility levels below 0.3 are infeasible for CNN/DM and Molecules because the base models rarely generate admissible outputs within max samples.
- Rejected calibrations (fraction up to about 20%) remain for some tasks.
Experimental setup
Datasets: TriviaQA MIMIC-CXR CNN/DM MOSES
Benchmarks: TriviaQA MIMIC-CXR CNN/DM MOSES molecules
Metrics: # queries time set size fraction rejected admissibility
Baselines: CLM CLM reduced max SCOPE-Gen gen. only SCOPE-Gen flipped
Builds on: conformal language modeling conformal risk control learn-then-test Pareto testing
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