ALoDLM: Adaptively Looped Diffusion Language Models

Liancheng Fang, Zhuowei Li, Youngeun Kim, Tianchen Zhao, Rajat Koner, Jiaye Wu, Linghan Xu, Xuanbai Chen and 5 others

University of Illinois Chicago · Amazon AGI · Korea University

Published October 3, 2026 · on the feed October 6, 2026 · ▲ 74 · arXiv 2610.04198

The abstract

Diffusion language models (DLMs) enable fast generation by predicting multiple tokens in parallel, but their practical adoption remains limited by a persistent quality gap relative to comparably sized autoregressive (AR) models. We attribute this gap to a computation-difficulty mismatch: within a partially observed sequence, some unknown tokens are easy to predict, while others require substantially more computation. Existing DLMs nevertheless apply uniform computational depth to all unknown positions at each denoising step. We introduce ALoDLM, which replaces uniform computation with token-adaptive latent recurrence. At each denoising step, ALoDLM iteratively refines latent representations and allocates computation according to token difficulty. Tokens ready to commit are fed back as discrete context, while unresolved tokens retain and further refine their latent states through additional recurrent passes. To learn token prediction and computation allocation jointly, we formulate token-wise computation schedules as latent variables and derive a conditional negative evidence lower bound (NELBO). We train ALoDLM at 1.7B and 8B parameter scales. Across eleven benchmarks, ALoDLM outperforms all evaluated DLMs and the corresponding AR baselines in average benchmark score at both scales. ALoDLM also retains fast parallel decoding, yielding a strong quality-efficiency trade-off among evaluated autoregressive and diffusion models under optimized inference engines.

The Brief

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Transcript

ALoDLM. Adaptively Looped Diffusion Language Models. By Liancheng Fang and twelve others, from the University of Illinois Chicago, Amazon AGI, and one other institution. Published on the third of October. Its code repository is worked out: about fifty source files, with a readme and a licence.

Diffusion language models generate quickly because they predict several tokens in parallel. Even so, their practical adoption is held back by a persistent quality gap against autoregressive models of comparable size. The authors attribute that gap to a mismatch between computation and difficulty. Within a partially observed sequence, some unknown tokens are easy to predict, while others need substantially more computation. Existing diffusion language models nevertheless give every unknown position the same computational depth at each denoising step. The easy token and the hard one get identical treatment.

ALoDLM replaces that uniform computation with token-adaptive latent recurrence. At each denoising step, the model refines its latent representations iteratively, and it allocates computation according to how difficult each token is. Depth stops being a constant of the architecture and becomes something each position receives in proportion to its need.

Each step sorts tokens into two groups. Tokens that are ready to commit are fed back as discrete context for the rest of the sequence. Tokens that remain unresolved keep their latent states, and refine them further through additional recurrent passes. Training then has two things to learn together: which token to predict, and how much computation to spend reaching it. To learn them jointly, the authors formulate token-wise computation schedules as latent variables and derive a conditional negative evidence lower bound, or NELBO.

ALoDLM is trained at two scales, one point seven billion parameters and eight billion parameters. Across eleven benchmarks, at both scales, it outperforms all evaluated diffusion language models, and the corresponding autoregressive baselines too, in average benchmark score. It also keeps fast parallel decoding, which gives it a strong quality-efficiency trade-off among the evaluated autoregressive and diffusion models under optimized inference engines.

Spend compute where the difficulty is. Stated that way, the principle is short. ALoDLM's contribution is applying it inside each denoising step, token by token, so that the tokens ready early are committed and fed back as context while the unresolved ones get more passes, and doing so without giving up the parallel decoding that made diffusion attractive in the first place.

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Chapter 1 🧩 · The problem

Fast, but not quite good enough. The question is where the computation goes.

You work on language models that fill in many masked words at once, in parallel. They are fast, but they still trail word-by-word models of the same size in quality.

The road ahead

  1. 1 · The problem ~7 min Parallel fill-in language models are fast, but they give every unknown word the same computation, though some words are far harder than others.
  2. 2 · What came before ~3 min
  3. 3 · The key idea ~9 min Inside each denoising step, the model loops: easy tokens commit early as context, hard tokens keep refining their hidden states, and it learns how much looping each needs.
  4. 4 · Choose your own research ~3 min
  5. 5 · Build the method ~8 min Each denoising step loops a recurrent core: refine hidden states, commit confident tokens as context, and keep refining the rest until a learned gate says stop.
  6. 6 · The experiment ~6 min You’ll guess: Across eleven benchmarks, how did ALoDLM's average score compare with the autoregressive baselines of the same size?
  7. 7 · The viva ~5 min Three questions from the examiners, answered in your own words. Win it for the paper’s trophy.
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