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Conformal Generative Modeling with Improved Sample Efficiency through Sequential Greedy Filtering

ICLR 2025 · Learning theory and algorithms › Prediction and decision losses · approach: Conformal prediction sets · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace CLM with SCOPE-GenTriviaQA · TriviaQA# Queries: 6.570 ± 0.210 -> 2.910 ± 0.229Helped
replace CLM with SCOPE-GenMIMIC-CXR · MIMIC-CXR# Queries: 20.000 ± 0.000 -> 4.214 ± 1.011Helped
replace CLM with SCOPE-GenCNN/DM · CNN/DM# Queries: 20.000 ± 0.000 -> 3.456 ± 0.478Helped
replace CLM with SCOPE-GenMolecular graph extension · Molecules# Queries: 19.280 ± 0.223 -> 8.606 ± 0.594Helped
reduce CLM max sample limit to 10CLM · MIMIC-CXRFrac. Reject: 0.240 ± 0.000 -> 0.817 ± 0.000Hurt
remove both filtering stages (ablation)SCOPE-Gen · TriviaQASet Size: 1.202 ± 0.164 -> 2.050 ± 0.184Hurt
remove both filtering stages (ablation)SCOPE-Gen · MIMIC-CXR# Queries: 4.214 ± 1.011 -> 6.518 ± 0.310Hurt
apply quality filter before diversity filter (ablation)SCOPE-Gen · MIMIC-CXRSet Size: 7.390 ± 1.856 -> 7.848 ± 1.976Hurt
use only diversity filter (config. 2) (ablation)SCOPE-Gen · MIMIC-CXRSet Size: 7.390 ± 1.856 -> 5.839 ± 1.144Helped

Surprising findings

Limitations

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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