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CaLR: Causal Latent Revision for Robust Diffusion Reasoning

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arXiv:2609.20981v1 Announce Type: new Abstract: Autoregressive (AR) models suffer from local greediness, while diffusion language models (DLMs) often lack the strict causal structure required for reasoning. To combine the advantages and overcome the drawbacks of the dual, we propose Causal Latent Revision (CaLR), a framework that reformulates reasoning as constrained latent optimization. By adopting a causal topology matrix (CTM) from an expert model and implicit differentiation, CaLR performs gradient-guided ``thought revision" to enforce logical consistency, enabling dynamic self-correction of intermediate steps during parallel generation. Empirically, CaLR achieves SOTA DLM performance on complex benchmarks, surpassing strong AR baselines and demonstrating superior robustness in constr…

SourcearXiv AIAuthor: Wei Cai, Jian Zhao, Yuchen Yuan, Xuelong Li
CaLR: Causal Latent Revision for Robust Diffusion Reasoning
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[Submitted on 17 Sep 2026]

Title:CaLR: Causal Latent Revision for Robust Diffusion Reasoning

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Abstract:Autoregressive (AR) models suffer from local greediness, while diffusion language models (DLMs) often lack the strict causal structure required for reasoning. To combine the advantages and overcome the drawbacks of the dual, we propose Causal Latent Revision (CaLR), a framework that reformulates reasoning as constrained latent optimization. By adopting a causal topology matrix (CTM) from an expert model and implicit differentiation, CaLR performs gradient-guided ``thought revision" to enforce logical consistency, enabling dynamic self-correction of intermediate steps during parallel generation. Empirically, CaLR achieves SOTA DLM performance on complex benchmarks, surpassing strong AR baselines and demonstrating superior robustness in constrained tasks like Sudoku.

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Artificial Intelligence (cs.AI)

Cite as: arXiv:2609.20981 [cs.AI]

(or arXiv:2609.20981v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2609.20981

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Wei Cai [view email] [v1] Thu, 17 Sep 2026 18:34:02 UTC (786 KB)

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  • AI generation is temporarily unavailable; this entry was preserved with deterministic fallback metadata.
  • arXiv:2609.20981v1 Announce Type: new Abstract: Autoregressive (AR) models suffer from local greediness, while diffusion language models (DLMs) often lack the strict causal struct…

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