Learn from Your Mistakes: Self-Correcting Masked Diffusion Models
On the map: Diffusion models → Discrete and text diffusion
Abstract (arXiv)
Masked diffusion models (MDMs) have emerged as a promising alternative to autoregressive models, enabling parallel token generation while achieving competitive performance. Despite these advantages, MDMs face a fundamental limitation: once tokens are unmasked, they remain fixed, leading to error accumulation and ultimately degrading sample quality. We address this by proposing a framework that trains a model to perform both unmasking and correction. By reusing outputs from the MDM denoising network as inputs for corrector training, we train a model to recover from potential mistakes. During generation we apply additional corrective refinement steps between unmasking ones in order to change decoded tokens and improve outputs. We name our training and sampling method Progressive Self-Correction (ProSeCo) for its unique ability to iteratively refine an entire sequence, including already generated tokens. We conduct extensive experimental validation across multiple conditional and unconditional tasks, demonstrating that method~yields better quality-efficiency trade-offs (up to ~4x faster sampling) and enables inference-time compute scaling to further increase sample quality beyond standard MDMs (up to ~1.2x improvement on benchmarks).
Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). Placed in Discrete and text diffusion, one of 14 directions in Diffusion models. Builds on 50 of its 71 references that are in the map. First posted on arXiv 12 Feb 2026.
Builds on
50 of 71 references.
Closest ancestors · 19
Same direction, newest first
- 2026LLaDA2.1: Speeding Up Text Diffusion via Token Editing9 Feb
- 2025LLaDA2.0: Scaling Up Diffusion Language Models to 100B10 Dec
- 2025KLASS: KL-Guided Fast Inference in Masked Diffusion Models7 Nov
- 2025Guided Star-Shaped Masked Diffusion9 Oct
- 2025Fine-Tuning Masked Diffusion for Provable Self-Correction1 Oct
- 2025Don't Settle Too Early: Self-Reflective Remasking for Diffusion Language Models28 Sep
- 2025Accelerated Sampling from Masked Diffusion Models via Entropy Bounded Unmasking30 May
- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Models12 Mar
- 2025Generalized Interpolating Discrete Diffusion6 Mar
- 2025Remasking Discrete Diffusion Models with Inference-Time Scaling1 Mar
- 2025Large Language Diffusion Models14 Feb
- 2025Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions10 Feb
7 more
- 2025Path Planning for Masked Diffusion Model Sampling5 Feb
- 2024Masked Diffusion Models are Secretly Time-Agnostic Masked Models and Exploit Inaccurate Categorical Sampling4 Sep
- 2024Simple and Effective Masked Diffusion Language Models11 Jun
- 2024Simplified and Generalized Masked Diffusion for Discrete Data6 Jun
- 2024Your Absorbing Discrete Diffusion Secretly Models the Conditional Distributions of Clean Data6 Jun
- 2023Discrete Diffusion Modeling by Estimating the Ratios of the Data Distribution25 Oct
- 2022Continuous diffusion for categorical data28 Nov
Other references · 31
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2020Denoising Diffusion Probabilistic Modelscited by 21,076
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
- 2024The Llama 3 Herd of Modelscited by 14,715
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
- 2021Evaluating Large Language Models Trained on Codecited by 8,320
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
- 2022Scalable Diffusion Models with Transformerscited by 6,054
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,101
19 more
- 2021Program Synthesis with Large Language Modelscited by 3,637
- 2019HuggingFace's Transformers: State-of-the-art Natural Language Processingcited by 2,218
- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,719
- 2022Diffusion-LM Improves Controllable Text Generationcited by 1,027
- 2021MAUVE: Measuring the Gap Between Neural Text and Human Text using Divergence Frontierscited by 470
- 2022A Continuous Time Framework for Discrete Denoising Modelscited by 451
- 2025Fast-dLLM: Training-free Acceleration of Diffusion LLM by Enabling KV Cache and Parallel Decodingcited by 420
- 2022Analog Bits: Generating Discrete Data using Diffusion Models with Self-Conditioningcited by 373
- 2024Discrete Flow Matchingcited by 317
- 2025LLaDA 1.5: Variance-Reduced Preference Optimization for Large Language Diffusion Modelscited by 285
- 2018Molecular Transformer - A Model for Uncertainty-Calibrated Chemical Reaction Predictioncited by 229
- 2024OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Datacited by 200
- 2022Score-based Continuous-time Discrete Diffusion Modelscited by 169
- 2024Simple Guidance Mechanisms for Discrete Diffusion Modelscited by 155
- 2021Step-unrolled Denoising Autoencoders for Text Generationcited by 102
- 2024Informed Correctors for Discrete Diffusion Modelscited by 57
- 2023Diffusion Models With Learned Adaptive Noisecited by 51
- 2025rStar-Coder: Scaling Competitive Code Reasoning with a Large-Scale Verified Datasetcited by 51
- 2023InfoDiffusion: Representation Learning Using Information Maximizing Diffusion Modelscited by 50
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Citing papers per year: 2026: 13.
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- 2026Discrete-WAM: Unified Discrete Vision-Action Token Editing for World-Policy Learningcited by 4
- 2026Self-Generated Error Training for Token Editing in Diffusion Language Modelscited by 2
- 2026Set Diffusion: Interpolating Token Orderings Between Autoregression and Diffusion for Fast and Flexible Decodingcited by 2
- 2026Don't Commit Alone: Joint Token Commitment in Diffusion Language Modelscited by 2
- 2026Revise, Don't Freeze: Sampler-Matched Training for Self-Correcting Masked Diffusion Language Modelscited by 1
- 2026Re-evaluating Confidence Remasking in Masked Diffusion Language Modelscited by 1
- 2026From Interface to Inference: Eliciting Any-Order Inference from Any-Order Modelscited by 1
- 2026Hesitation-Aware On-Policy Distillation for Diffusion Language Modelscited by 1
- 2026Targeted Remasking: Replacing Token Editing with Token-to-Mask Refinement in Discrete Diffusion Language Modelscited by 0
- 2026A Ticket from Marginals to Joints: Coupled-Noise Distillation for One-Step Block Generation in Diffusion Language Modelscited by 0
- 2026Less Uniform Discrete Diffusion is More Powerful and Scalablecited by 0
- 2026Blackboard Intelligence Can Surpass Autoregressive on Globally Constrained Problemscited by 0
1 more
- 2026Correction Training for Diffusion Modelscited by 0
- 2026Correction Training for Diffusion Models9 Oct 2026
- 2026Blackboard Intelligence Can Surpass Autoregressive on Globally Constrained Problems30 Sep 2026
- 2026Hesitation-Aware On-Policy Distillation for Diffusion Language Models27 Sep 2026
- 2026Less Uniform Discrete Diffusion is More Powerful and Scalable21 Sep 2026
- 2026A Ticket from Marginals to Joints: Coupled-Noise Distillation for One-Step Block Generation in Diffusion Language Models6 Sep 2026
- 2026From Interface to Inference: Eliciting Any-Order Inference from Any-Order Models29 Jul 2026
- 2026Don't Commit Alone: Joint Token Commitment in Diffusion Language Models5 Jul 2026
- 2026Set Diffusion: Interpolating Token Orderings Between Autoregression and Diffusion for Fast and Flexible Decoding2 Jul 2026
- 2026Self-Generated Error Training for Token Editing in Diffusion Language Models15 Jun 2026
- 2026Re-evaluating Confidence Remasking in Masked Diffusion Language Models10 Jun 2026
- 2026Discrete-WAM: Unified Discrete Vision-Action Token Editing for World-Policy Learning4 Jun 2026
- 2026Revise, Don't Freeze: Sampler-Matched Training for Self-Correcting Masked Diffusion Language Models31 May 2026
- 2026Self-Generated Error Training for Token Editing in Diffusion Language Modelscited by 2
- 2026Set Diffusion: Interpolating Token Orderings Between Autoregression and Diffusion for Fast and Flexible Decodingcited by 2
- 2026Don't Commit Alone: Joint Token Commitment in Diffusion Language Modelscited by 2
- 2026Revise, Don't Freeze: Sampler-Matched Training for Self-Correcting Masked Diffusion Language Modelscited by 1
- 2026Re-evaluating Confidence Remasking in Masked Diffusion Language Modelscited by 1
- 2026From Interface to Inference: Eliciting Any-Order Inference from Any-Order Modelscited by 1
- 2026Hesitation-Aware On-Policy Distillation for Diffusion Language Modelscited by 1
- 2026Targeted Remasking: Replacing Token Editing with Token-to-Mask Refinement in Discrete Diffusion Language Modelscited by 0
- 2026A Ticket from Marginals to Joints: Coupled-Noise Distillation for One-Step Block Generation in Diffusion Language Modelscited by 0
- 2026Less Uniform Discrete Diffusion is More Powerful and Scalablecited by 0
- 2026Blackboard Intelligence Can Surpass Autoregressive on Globally Constrained Problemscited by 0
- 2026Correction Training for Diffusion Modelscited by 0
- 2026Correction Training for Diffusion Models9 Oct 2026
- 2026Blackboard Intelligence Can Surpass Autoregressive on Globally Constrained Problems30 Sep 2026
- 2026Hesitation-Aware On-Policy Distillation for Diffusion Language Models27 Sep 2026
- 2026Less Uniform Discrete Diffusion is More Powerful and Scalable21 Sep 2026
- 2026A Ticket from Marginals to Joints: Coupled-Noise Distillation for One-Step Block Generation in Diffusion Language Models6 Sep 2026
- 2026From Interface to Inference: Eliciting Any-Order Inference from Any-Order Models29 Jul 2026
- 2026Don't Commit Alone: Joint Token Commitment in Diffusion Language Models5 Jul 2026
- 2026Set Diffusion: Interpolating Token Orderings Between Autoregression and Diffusion for Fast and Flexible Decoding2 Jul 2026
- 2026Self-Generated Error Training for Token Editing in Diffusion Language Models15 Jun 2026
- 2026Re-evaluating Confidence Remasking in Masked Diffusion Language Models10 Jun 2026
- 2026Revise, Don't Freeze: Sampler-Matched Training for Self-Correcting Masked Diffusion Language Models31 May 2026
- 2026Targeted Remasking: Replacing Token Editing with Token-to-Mask Refinement in Discrete Diffusion Language Models6 Apr 2026
Similar, not cited
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- 2025Beyond Masked and Unmasked: Discrete Diffusion Models via Partial Masking
- 2025Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models
- 2026Remask, Don't Replace: Token-to-Mask Refinement in Diffusion Language Models
- 2026Know When to Hold 'em: Correct-Token Retention in Uniform-State Diffusion Language Models
- 2026Training-Free Self-Correction for Multimodal Masked Diffusion Models
- 2026CORE: Context-Robust Remasking for Diffusion Language Models
- 2026Simple Self-Conditioning Adaptation for Masked Diffusion Models
- 2026Multi-Turn Reflective Masking Elicits Reasoning in Mask Diffusion Models