arXiv Machine Learning By Merve Kocabas, Benjamin A. Burns, Andreas Geiger, Kent Gauen, Sara Fridovich-Keil

Beyond Best-of-$k$: Prior-Consistent DAPS for Ambiguous Nonlinear Inverse Problems

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The paper introduces Prior-Consistent DAPS (PC‑DAPS), a variant of Decoupled Annealing Posterior Sampling designed to handle ambiguous nonlinear inverse problems where multiple measurement‑consistent solutions exist. PC‑DAPS maintains several candidate solutions in a single sampling run and prunes or replaces weaker candidates based on prior consistency as annealing noise decreases, without requiring ground‑truth access. This approach reduces prior‑inconsistent samples and improves sample quality for nonlinear inverse problems while preserving quality and diversity for linear ones.

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