Intrinsic Selection and Particle Resampling for Inference-Time Scaling Beyond Domain Verifiability
- URL: http://arxiv.org/abs/2606.08850v1
- Date: Sun, 07 Jun 2026 21:43:37 GMT
- Title: Intrinsic Selection and Particle Resampling for Inference-Time Scaling Beyond Domain Verifiability
- Abstract summary: Inference-Time Scaling (ITS) has largely succeeded in verifiable domains like math and coding.<n>However, extending ITS to tasks prone to systematic failure typically relies on costly external solvers or brittle, model-based verifiers.<n>Our pipeline applies seamlessly across broad-purpose, domain-specialized, and multimodal architectures.
- Score: 15.77992479706947
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Inference-Time Scaling (ITS) has largely succeeded in verifiable domains like math and coding, where cheap verification enables scalable output selection. However, extending ITS to tasks prone to systematic failure - driven by faulty initial assumptions or unmet multidimensional constraints - typically relies on costly external solvers or brittle, model-based verifiers. Our key insight is that the intrinsic statistics of parallel sample sets, specifically length-adjusted tail entropy, provide a robust discriminative signal for solution quality without access to ground truth. Crucially, these statistics serve as a difficulty gate for adaptive compute allocation, dynamically routing problems across scaling regimes. First, Intrinsic Selection (iS) ranks candidates post-hoc, matching consensus-based algorithms across three domains and improving engineering design selection by 20% over pass@1 baselines. Second, Intrinsic Particle Filtering (iPF) generalizes this to step-level resampling, guiding generation toward high-confidence reasoning trajectories to improve pass@1 by 6.1 points on average on hard math problems. Finally, Particle Distillation (dPF) injects privileged guidance via early logit blending and KL-guided resampling, steering generation past systematic reasoning errors to satisfy expert rubrics, yielding up to 26.5% gains on complex clinical responses. Our pipeline applies seamlessly across broad-purpose, domain-specialized, and multimodal architectures, successfully extending ITS to open-ended domains without requiring trained reward models or exact ground-truth verification.
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