Diffusion LM research timeline

Seven reading anchors for understanding method differences, followed by the recorded publication corpus.

These are selected 2021–2025 reading anchors, not a complete history or ranking. The comparisons below do not establish influence between papers.

First arXiv submission defines the order, not priority, first public disclosure, conference acceptance or code release. Explanations refer to the separately pinned source revision: not every detail necessarily appeared in v1.

Jump to recorded papers · Observed source and code changes · Learning routes

Source-linked reading anchors

  1. Structured Denoising Diffusion Models in Discrete State-Spaces

    · arXiv v1

    D3PM describes corruption through transition matrices over discrete states, including absorbing masks.

    Limits and method comparison

    A foundation for categorical data, not a text-only method. Transition choices must be checked for the target data.

    Compare a general family of discrete transitions with MDLM’s mask-specific construction. mdlm.

    Summary source · v3 · Find in corpus · Masked / discrete diffusion

  2. Diffusion-LM Improves Controllable Text Generation

    · arXiv v1

    Diffusion-LM denoises real-valued word representations; continuous intermediate variables support gradient-based text control.

    Limits and method comparison

    Continuous word representations are not automatically compressed autoencoder latents. Control after decoding is not a hard guarantee.

    Unlike D3PM’s discrete state space, this denoising trajectory operates on real-valued vectors. d3pm.

    Summary source · v1 · Find in corpus · Controllability

  3. DiffuSeq: Sequence to Sequence Text Generation with Diffusion Models

    · arXiv v1

    DiffuSeq uses continuous-representation diffusion for conditional sequence-to-sequence generation, with partial noising and source conditioning.

    Limits and method comparison

    Read this as conditional Seq2Seq. The original paper is distinct from the later DiffuSeq-v2 work.

    Both use continuous representations; source-conditioned Seq2Seq and gradient-based attribute control are different tasks. diffusion-lm.

    Summary source · v3 · Find in corpus · Controllability

  4. Discrete Diffusion Modeling by Estimating the Ratios of the Data Distribution

    · arXiv v1

    SEDD introduces score entropy to learn probability ratios between discrete states and applies it to language modelling.

    Limits and method comparison

    Continuous time does not make token states continuous. Sampling quality and measured serving latency require separate evidence.

    Compare the probability-ratio objective with D3PM’s transition-matrix design; these are different components of a discrete model. d3pm.

    Summary source · v3 · Find in corpus · Masked / discrete diffusion

  5. Simple and Effective Masked Diffusion Language Models

    · arXiv v1

    MDLM specializes discrete diffusion to masking and derives a simplified mixture of masked-language-model losses, with several sampling choices.

    Limits and method comparison

    Masking is one discrete corruption family. Keep the training objective separate from the selected sampler.

    Compare MDLM’s mask-specific formulation with SEDD’s probability-ratio view; shared discrete states do not imply identical losses. sedd.

    Summary source · v2 · Find in corpus · Masked / discrete diffusion

  6. Large Language Diffusion Models

    · arXiv v1

    LLaDA trains a Transformer to predict masked tokens through pre-training and supervised fine-tuning; reverse generation iteratively fills masks.

    Limits and method comparison

    This remains a discrete-token model. Reported scale and task performance do not establish universal superiority or latency.

    Both use masked tokens; compare LLaDA’s pre-training/SFT setup with MDLM’s objective and sampling recipe under matched conditions. mdlm.

    Summary source · v3 · Find in corpus · Post-training

  7. Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Models

    · arXiv v1

    Block Diffusion is autoregressive across blocks and uses discrete diffusion inside each conditional block.

    Limits and method comparison

    Parallel token updates within a block do not remove dependencies between blocks. Latency still needs a matched measurement protocol.

    Compare block-level sequence factorization with MDLM’s masked denoising and semi-autoregressive sampling choices. mdlm.

    Summary source · v3 · Find in corpus · Inference acceleration

Recorded corpus publications

Filters below apply only to recorded papers, not the seven anchors above. These use publication dates in UTC, not site-observation dates or an importance ranking. New records appear when a checked snapshot is published.

Latest papers · Selection methodology

2026-06-07T07:59:55+00:00 · Reasoning, Post-training · Source

Back on Track: Aligning Rewards and States for Reasoning in Diffusion Large Language Models

Reinforcement learning (RL) holds immense promise for enhancing the reasoning capabilities of diffusion large language models (dLLMs). However, progress is fundamentally constrained by a dual misalignment between authentic generation trajectory and the gradient update process: (i) Process-reward misalignment. Sparse, terminal rewards are indiscriminately assigned to all intermediate steps of the generation process, failing to provide discriminative credit assignment. (ii) State-trajectory misalignment. Policy updates are often diverted toward artificial, out-of-trajectory states, squandering g

Useful for: Not assessed · Limitation: Not assessed

2026-06-07T02:24:11+00:00 · Masked / discrete diffusion, Reasoning, Code generation · Source

AsyncLane: Decoupling Refinement from Advancement in Diffusion Language Model Decoding

Block-wise semi-autoregressive decoding is the standard inference paradigm for diffusion large language models (DLMs), but it imposes a strict dependency between blocks: the next block cannot begin until the current block is fully decoded or its denoising budget is exhausted. We observe that once a block exposes a reliable delimiter boundary or stable semantic prefix, continuation generation need not wait for every residual token to be resolved. We propose AsyncLane, a training-free decoding scheduler that decouples refinement from advancement. AsyncLane forks a generate lane at observed delim

Useful for: Not assessed · Limitation: Not assessed

2026-06-07T02:13:17+00:00 · unclassified · Source

TimpaTeks: Automatic In-place Text Sequence Modification via Diffusion Language Model Steering

We extend activation steering to diffusion language models (DLMs) and study a novel problem that arose due to the inference mechanism of DLMs: Modifying a text in-place to manifest a different concept. We propose TimpaTeks, an automatic in-place text modification mechanism using DLMs. Experiments on IMDB movie reviews (sentiment) and a synthetic Cats and Dogs Dataset (arbitrary, more unconventional concept steering) show that TimpaTeks provides a feasible novel mechanism to steer diffusion language model outputs in-place. TimpaTeks enables in-place modification while simultaneously lowers sent

Useful for: Not assessed · Limitation: Not assessed

2026-06-06T22:10:46+00:00 · Reasoning · Source

Forward-Free Diffusion Language Models

Diffusion language models generate text through iterative denoising, offering a powerful alternative to autoregressive generation. However, discrete language spaces lack a natural neighborhood structure for defining effective perturbations, so some artificial corruption schemes are proposed in the forward process. Such prescribed forward processes often produce states that are mathematically convenient but misaligned with drafts and errors encountered during generation, resulting in degraded sample quality. To address this limitation, we propose FReDA, a forward-free diffusion language model t

Useful for: Not assessed · Limitation: Not assessed

2026-06-06T08:21:06+00:00 · Reasoning · Source

Diffusion Language Model Parallel Decoding via Product-of-Experts Bridge

Diffusion language models (DLMs) offer substantial speed advantages through parallel decoding, but the lack of token dependencies limits generation quality compared to autoregressive (AR) models. Recent progress attempts to bridge the gap via importance sampling, with DLM being the proposal and AR being the target. However, due to the huge gap between their distributions, the sampling requires a large number of particles and is thus expensive to compute. In this paper, we introduce PoE-Bridge, a novel decoding framework that drastically improves generation speed and accuracy by introducing an

Useful for: Not assessed · Limitation: Not assessed

2026-06-04T20:58:08+00:00 · Post-training · Source

Data-Efficient Autoregressive-to-Diffusion Language Models via On-Policy Distillation

We study the transformation of autoregressive models (ARLMs) into diffusion language models (DLMs). Rather than pretraining from scratch, prior work replaces the causal attention in ARLMs with bidirectional attention and then trains the resulting model using a DLM objective. However, these approaches incur two distribution shifts. First, transitioning from a next-token prediction objective to a DLM objective can discard knowledge acquired by the ARLM during training. Second, standard DLMs suffer from a train-inference mismatch, as the training loss is defined on randomly masked sequences rathe

Useful for: Not assessed · Limitation: Not assessed

2026-06-04T17:56:27+00:00 · Masked / discrete diffusion, Reasoning · Source

Self-Augmenting Retrieval for Diffusion Language Models

Discrete diffusion language models generate text by iteratively denoising an entire response in parallel. At each step, they predict tentative tokens for every masked position, committing the confident predictions to the output and discarding the unconfident ones. We show that the discarded tokens are in fact a useful lookahead signal for retrieval-augmented generation: even low-confidence tokens often surface salient entities early in the denoising trajectory, enabling retrieval of stronger evidence before the output is finalized. We exploit this through Self-Augmenting Retrieval for Diffusio

Useful for: Not assessed · Limitation: Not assessed

2026-06-04T11:24:47+00:00 · Masked / discrete diffusion · Source

NAVIRA: Decoupled Stochastic Remasking for Masked Diffusion Language Models

Masked diffusion language models generate text by iteratively unmasking many tokens in parallel, but this speed comes with a correction problem: tokens generated in the same step are predicted from marginal distributions, and early local dependency errors can later contaminate the context. PRISM addresses this by learning token-level quality scores and remasking unreliable tokens, but its inference rule is coupled: the same forward pass both detects low-quality tokens and computes logits for their replacements, so the erroneous tokens still condition regeneration. We propose NAVIRA, an inferen

Useful for: Not assessed · Limitation: Not assessed

2026-06-04T08:00:51+00:00 · Masked / discrete diffusion, Post-training · Source

FAIR-Calib: Frontier-Aware Instability-Reweighted Calibration for Post-Training Quantization of Diffusion Large Language Models

Diffusion Large Language Models (dLLMs) refine tokens iteratively but commit them irreversibly, leading to a "stability lag" where early decisions remain fragile even after being written. We reveal that Post-Training Quantization (PTQ) error easily flips these borderline decisions at the write frontier, which are then permanently locked in and amplified. To address this, we propose Frontier-Aware Instability-Reweighted Calibration (FAIR-Calib), a two-stage PTQ framework for dLLMs. Stage I probes a full-precision teacher to estimate a position prior that combines frontier hits and mas

Useful for: Not assessed · Limitation: Not assessed

2026-06-03T14:56:42+00:00 · Masked / discrete diffusion, Inference acceleration · Source

SAID: Accelerating Diffusion-Based Language Models via Scaffold-Aware Iterative Decoding

Diffusion large language models (DLLMs) enable non-autoregressive generation by iteratively denoising corrupted token sequences with bidirectional context. Despite their ability to update multiple positions in parallel, inference remains costly due to the many denoising steps required for high-quality generation. We propose SAID, a Scaffold-Aware Iterative Decoding framework that accelerates DLLMs by reallocating computation across tokens. SAID first spends denoising computation on scaffold tokens to establish the coarse semantic structure, and then completes predictable detail tokens with few

Useful for: Not assessed · Limitation: Not assessed

2026-06-03T14:34:35+00:00 · Post-training · Source

STaR-Quant: State-Time Consistent Post-Training Quantization for Diffusion Large Language Models

Diffusion large language models (DLLMs) have recently emerged as a promising alternative to autoregressive LLMs by generating text through iterative masked denoising with bidirectional context. However, their large model sizes and iterative denoising process introduce substantial memory and computational overhead, motivating post-training quantization for efficient deployment. In this paper, we identify two key challenges for low-bit DLLM quantization: state-dependent activation disparity and temporal error accumulation. Masked and unmasked tokens exhibit different activation distributions wit

Useful for: Not assessed · Limitation: Not assessed

2026-06-03T14:34:35+00:00 · Post-training · Source

STaR-Quant: State-Time Consistent Post-Training Quantization for Diffusion Large Language Models

Diffusion large language models (DLLMs) have recently emerged as a promising alternative to autoregressive LLMs by generating text through iterative masked denoising with bidirectional context. However, their large model sizes and iterative denoising process introduce substantial memory and computational overhead, motivating post-training quantization for efficient deployment. In this paper, we identify two key challenges for low-bit DLLM quantization: state-dependent activation disparity and temporal error accumulation. Masked and unmasked tokens exhibit different activation distributions wit

Useful for: Not assessed · Limitation: Not assessed

2026-06-03T07:18:23+00:00 · Reasoning, Controllability · Source

Dynamic Infilling Anchors for Format-Constrained Generation in Diffusion Large Language Models

Diffusion large language models (dLLMs) offer bidirectional attention and parallel generation, enabling them to exploit global context and naturally support format-constrained tasks like parseable JSON or reasoning templates. While straightforward fixed anchors can enforce such constraints, they often impose rigid spans, leading to truncated reasoning or redundant content. To overcome this, we propose Dynamic Infilling Anchors (DIA), a training-free method that dynamically estimates end-anchor positions to adjust generation length before iterative infilling. This flexible mechanism ensures str

Useful for: Not assessed · Limitation: Not assessed

2026-06-03T06:08:58+00:00 · Masked / discrete diffusion · Source

Global Sketch-Based Watermarking for Diffusion Language Models

Watermarking methods for language models have been studied extensively in the autoregressive setting, where tokens are generated sequentially. These works largely focus on local-context schemes that perturb the next token's distribution as a function of its preceding tokens. In diffusion language models, distributions over many unresolved positions are jointly sampled, allowing additive statistics of the entire sequence to be tractable during generation. We propose a watermark for masked diffusion language models that controls a global, vector-valued sketch representation of the text. Com

Useful for: Not assessed · Limitation: Not assessed

2026-06-02T21:35:54+00:00 · Masked / discrete diffusion, Reasoning · Source

Supportive Token Revealing for Fast Diffusion Language Model Decoding

Discrete diffusion language models can generate text efficiently by updating multiple masked positions in parallel, but this parallelism introduces a quality-latency trade-off. Aggressive decoding may commit mutually dependent tokens too early, while conservative decoding requires many denoising steps. Existing methods address this tension by deciding which tokens are safe to reveal using confidence or dependency criteria. However, avoiding unsafe commits does not necessarily make the remaining masked sequence easy to decode, since uncertain tokens may depend on masked tokens, creating a bottl

Useful for: Not assessed · Limitation: Not assessed

2026-06-02T17:14:37+00:00 · Masked / discrete diffusion · Source

Knowledge Editing in Masked Diffusion Language Models

Knowledge editing aims to update or correct factual knowledge in a language model. A widely used approach, locate-then-edit, does this in two steps: it first localizes a fact within the model, then edits the weights there. To date, such methods have been developed exclusively on autoregressive models (ARMs). Whether their underlying assumptions hold for masked diffusion models (MDMs), which model text bidirectionally and generate by iterative denoising rather than next-token prediction, remains an open question. We address it by transferring locate-then-edit to MDMs and comparing two MDMs (LLa

Useful for: Not assessed · Limitation: Not assessed

2026-06-01T18:10:21+00:00 · unclassified · Source

MaskForge: Structure-Aware Adaptive Attacks for Jailbreaking Diffusion Large Language Models

Diffusion large language models (dLLMs) generate text by iteratively denoising partially masked sequences under bidirectional context, exposing a safety surface distinct from autoregressive LLMs. Because mask tokens are native inputs and tokens are committed by confidence rather than position, harmful content can be induced through infilling and outside the monitored prefix. Existing jailbreaks either miss this native infill capability or rely on low-diversity mask-bearing templates applied uniformly across goals, with little structural adaptation or accumulated attack experience. We propose M

Useful for: Not assessed · Limitation: Not assessed

2026-06-01T17:46:46+00:00 · Masked / discrete diffusion, Inference acceleration · Source

SimSD: Simple Speculative Decoding in Diffusion Language Models

Diffusion large language models (dLLMs) have recently emerged as a promising alternative to autoregressive (AR) LLMs, offering faster inference through parallel or blockwise decoding. However, their masked language modeling formulation remains incompatible with standard token-level speculative decoding, one of the most effective acceleration techniques for AR models. In AR decoding, the causal mask preserves temporally valid token-level contexts, enabling a target model to verify multiple drafted tokens in a single forward pass. In contrast, dLLMs rely on mask tokens and bidirectional attentio

Useful for: Not assessed · Limitation: Not assessed

2026-05-31T05:35:03+00:00 · Masked / discrete diffusion, Post-training · Source

Revise, Don't Freeze: Sampler-Matched Training for Self-Correcting Masked Diffusion Language Models

Masked diffusion language models (MDLMs) re-predict every position at each denoising step, but standard samplers commit tokens once revealed, leaving this revision capability unused. Existing approaches either add heuristic or learned mechanisms to revise committed tokens, or remask them back to [MASK] before re-predicting; a principled sampler that directly revises visible tokens without auxiliary modules remains underexplored. We introduce D3IM, a parameter-free sampler derived as a corrector-style reverse update that permits direct visible-to-visible revision without additional modules or a

Useful for: Not assessed · Limitation: Not assessed

2026-05-31T05:27:01+00:00 · Masked / discrete diffusion · Source

DSL-LLaDA: Scaling Continuous Denoising to 8B Masked Diffusion LMs

Discrete Masked diffusion language models generate text by iterative parallel decoding, but few-step decoding suffers from a tradeoff between length and quality: with a fixed step budget, standard methods can generate a short, high-quality output, or they can produce long but repetitive text. Continuous denoising can sidestep this tradeoff by evolving all positions jointly in embedding space, but building such a model from scratch at scale remains an open problem. We show that a pretrained masked DLM can instead be lightly adapted to support continuous embedding-space denoising. Starting from

Useful for: Not assessed · Limitation: Not assessed

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