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S33 | Gumbel Straight Flow: Distilling Autoregressive Models into One-step Flow Maps
Yeongmin Kim presents Gumbel Straight Flow, a continuous flow map language model that leverages the noise-data coupling of a pretrained autoregressive model. The authors show theoretically that the coupling between Gumbel noise and one-hot token sequences induced by an autoregressive model yields non-intersecting linear paths connecting the noise to the sequence representations, which is what makes few-step sampling tractable. GSF is trained with a flow map semigroup objective whose tangent condition is guided directly by the AR teacher, and it outperforms current few-step language generation baselines across pretraining and downstream benchmarks.
S32 | MUX: Continuous Reasoning via Multiplexed Tokens
Ayhan Suleymanzade presents MUX, which distills discrete chains of thought into continuous multiplexed tokens, where each latent token represents a weighted linear superposition of a span of reasoning subwords that is lossless by construction and fully recoverable. The authors prove that simple position-dependent weightings such as geometric decay support lossless multiplexing, which prevents the shortcut behaviors caused by latent collapse, and they show multiplexed reasoning can explore in parallel on search problems. Across 32 evaluation settings and four language models, MUX beats strong latent reasoning baselines.
S31 | Discrete Beckmann Transport Models for One-Step Language Modeling and Reasoning
Sophia Tang presents Discrete Beckmann Transport Models, which reach one- and few-step generation in discrete flow models without distilling a pretrained teacher. DBTM builds on a time-independent flow whose autonomous transport map provably carries any point to a fixed point on the vertices of the simplex in a single step, a property characterized by a conservation equation whose residual is minimized directly from data. Generation then reduces to iterating one map until it reaches a fixed point, improving quality and accuracy over discrete diffusion and continuous flow baselines.
Featured Videos
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How did diffusion LLMs get so fast?
Techniques for accelerating diffusion LLMs, from self-distillation and curriculum learning to KV caching and block diffusion
But How Do Diffusion Language Models Actually Work?
Jia-Bin Huang explores several ideas for applying diffusion models to language modeling
Simple Diffusion Language Models
Quick introduction to Masked Diffusion Language Models (MDLM) by Alexander Rush
About the Reading Group
Diffusion LLMs are faster, more controllable successors to traditional LLMs and are rapidly gaining adoption. This reading group builds a community for exchanging and debating emerging ideas in this space. While our primary focus is discrete diffusion models for language, we also welcome work on other modalities and applications, such as molecular design, drug discovery, and beyond.
Meet the Organizers

Subham Sahoo
Holds a Ph.D. from Cornell Tech, where he specialized in Diffusion Language Models. He has made foundational contributions to the field, with his work deployed at scale by Google, NVIDIA, and ByteDance across language generation and drug discovery.

Justin Deschenaux
PhD student in Machine Learning at EPFL, advised by Prof. Caglar Gulcehre. Previously interned at Apple MLR. His research interests include diffusion language models, fast generative models, and generalization.
