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Paper · arXiv

A Differentiable Bayesian Relaxation for Latent Partial-Order Inference

Many ranking and agent trace datasets are recorded as linear orders even though their latent structure is only partially ordered. This is especially common in agent and workflow traces, where observed order may reflect arbitrary linearization rather than true prerequisites. We introduce a differentiable relaxation for latent partial-order inference from such traces. Starting from a hard frontier-constrained model of noisy linear extensions, we replace discontinuous product-order precedence and binary frontier feasibility with smooth surrogates, yielding a continuous posterior that preserves closure-level partial-order semantics and supports gradient-based MCMC and variational inference. W...

AuthorsDongqing Li, Geoff K. Nicholls, Shiyi Sun et al.
Primary categorystat.ML
Published7 May 2026
Last updated at source7 May 2026
stat.MLcs.LGstat.CO
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