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SpecCTMC: Exact Speculative Simulation of Diffusion Language Model Continuous-Time Markov Chains

Siva Rajesh Kasa, Yasong Dai, Sumit Negi, Hongdong Li

Drafts several successive unmasking events and checks their tentative states in a batch. Corrects rejected proposals to preserve the distribution of an event-driven diffusion sampler while reducing sequential model calls.

First public: · Added to this list: November 9, 2026

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ArXiv preprint

arXiv:2611.08362 · Initial submission: 2026-11-05

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Alternative generation methods — Change how intermediate steps are generated, revised, or searched—for example, by refining several steps in parallel. Some produce written chains of thought.

Analysis and evaluation — Measure how well these methods work, investigate what their internal computation does, and identify where they fail. This includes experiments, studies of model internals, and mathematical results.