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Main Authors: Li, David, Gushchin, Nikita, Abulkhanov, Dmitry, Moulines, Eric, Oseledets, Ivan, Panov, Maxim, Korotin, Alexander
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.19066
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author Li, David
Gushchin, Nikita
Abulkhanov, Dmitry
Moulines, Eric
Oseledets, Ivan
Panov, Maxim
Korotin, Alexander
author_facet Li, David
Gushchin, Nikita
Abulkhanov, Dmitry
Moulines, Eric
Oseledets, Ivan
Panov, Maxim
Korotin, Alexander
contents Diffusion Language Models (DLMs) have recently achieved strong results in text generation. However, their multi-step sampling leads to slow inference, limiting practical use. To address this, we extend Inverse Distillation, a technique originally developed to accelerate continuous diffusion models, to the discrete setting. Nonetheless, this extension introduces both theoretical and practical challenges. From a theoretical perspective, the inverse distillation objective lacks uniqueness guarantees, which may lead to suboptimal solutions. From a practical standpoint, backpropagation in the discrete space is non-trivial and often unstable. To overcome these challenges, we first provide a theoretical result demonstrating that our inverse formulation admits a unique solution, thereby ensuring valid optimization. We then introduce gradient-stable relaxations to support effective training. As a result, experiments on multiple DLMs show that our method, Inverse-distilled Diffusion Language Models (IDLM), reduces the number of inference steps by 4x-64x, while preserving the teacher model's generation quality. We provide the code, model checkpoints, and video tutorials on the project page: https://david-cripto.github.io/idlm-project-page
format Preprint
id arxiv_https___arxiv_org_abs_2602_19066
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle IDLM: Inverse-distilled Diffusion Language Models
Li, David
Gushchin, Nikita
Abulkhanov, Dmitry
Moulines, Eric
Oseledets, Ivan
Panov, Maxim
Korotin, Alexander
Machine Learning
Artificial Intelligence
Diffusion Language Models (DLMs) have recently achieved strong results in text generation. However, their multi-step sampling leads to slow inference, limiting practical use. To address this, we extend Inverse Distillation, a technique originally developed to accelerate continuous diffusion models, to the discrete setting. Nonetheless, this extension introduces both theoretical and practical challenges. From a theoretical perspective, the inverse distillation objective lacks uniqueness guarantees, which may lead to suboptimal solutions. From a practical standpoint, backpropagation in the discrete space is non-trivial and often unstable. To overcome these challenges, we first provide a theoretical result demonstrating that our inverse formulation admits a unique solution, thereby ensuring valid optimization. We then introduce gradient-stable relaxations to support effective training. As a result, experiments on multiple DLMs show that our method, Inverse-distilled Diffusion Language Models (IDLM), reduces the number of inference steps by 4x-64x, while preserving the teacher model's generation quality. We provide the code, model checkpoints, and video tutorials on the project page: https://david-cripto.github.io/idlm-project-page
title IDLM: Inverse-distilled Diffusion Language Models
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2602.19066