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Denoising diffusion probabilistic models have been recently proposed to generate high-quality samples by estimating the gradient of the data density. The framework defines the prior noise as a standard Gaussian distribution, whereas the…

Machine Learning · Statistics 2022-02-22 Sang-gil Lee , Heeseung Kim , Chaehun Shin , Xu Tan , Chang Liu , Qi Meng , Tao Qin , Wei Chen , Sungroh Yoon , Tie-Yan Liu

We propose self-diffusion, a novel framework for solving inverse problems without relying on pretrained generative models. Traditional diffusion-based approaches require training a model on a clean dataset to learn to reverse the forward…

Machine Learning · Computer Science 2025-12-09 Guanxiong Luo , Shoujin Huang , Yanlong Yang

While state-of-the-art language models achieve impressive results through next-token prediction, they have inherent limitations such as the inability to revise already generated tokens. This has prompted exploration of alternative…

Computation and Language · Computer Science 2025-06-10 Dimitri von Rütte , Janis Fluri , Yuhui Ding , Antonio Orvieto , Bernhard Schölkopf , Thomas Hofmann

Today, the internet makes tremendous amounts of data widely available. Often, the same information is behind multiple different available data sets. This lends growing importance to latent variable models that try to learn the hidden…

Information Theory · Computer Science 2017-05-24 Janis Nötzel , Andreas Winter

Discrete diffusion models offer global context awareness and flexible parallel generation. However, uniform random noise schedulers in standard DLLM training overlook the highly non-uniform information density inherent in real-world…

Machine Learning · Computer Science 2026-03-18 Linrui Ma , Yufei Cui , Kai Han , Yunhe Wang

Discrete diffusion models, like continuous diffusion models, generate high-quality samples by gradually undoing noise applied to datapoints with a Markov process. Gradual generation in theory comes with many conceptual benefits; for…

Machine Learning · Computer Science 2025-09-30 Alan N. Amin , Nate Gruver , Andrew Gordon Wilson

Denoising models such as Diffusion or Flow Matching have recently advanced generative modeling for discrete structures, yet most approaches either operate directly in the discrete state space, causing abrupt state changes. We introduce…

Machine Learning · Computer Science 2026-03-31 Yoann Boget , Alexandros Kalousis

SDE-based methods such as denoising diffusion probabilistic models (DDPMs) have shown remarkable success in real-world sample generation tasks. Prior analyses of DDPMs have been focused on the exponential Euler discretization, showing…

Machine Learning · Computer Science 2025-11-10 Matthew S. Zhang , Stephen Huan , Jerry Huang , Nicholas M. Boffi , Sitan Chen , Sinho Chewi

While diffusion models have achieved great success in generating continuous signals such as images and audio, it remains elusive for diffusion models in learning discrete sequence data like natural languages. Although recent advances…

Computation and Language · Computer Science 2024-05-02 Jiasheng Ye , Zaixiang Zheng , Yu Bao , Lihua Qian , Mingxuan Wang

Diffusion models learn to reverse the progressive noising of a data distribution to create a generative model. However, the desired continuous nature of the noising process can be at odds with discrete data. To deal with this tension…

Machine Learning · Computer Science 2023-09-13 Griffin Floto , Thorsteinn Jonsson , Mihai Nica , Scott Sanner , Eric Zhengyu Zhu

Recent literature has effectively leveraged diffusion models trained on continuous variables as priors for solving inverse problems. Notably, discrete diffusion models with discrete latent codes have shown strong performance, particularly…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Naoki Murata , Chieh-Hsin Lai , Yuhta Takida , Toshimitsu Uesaka , Bac Nguyen , Stefano Ermon , Yuki Mitsufuji

Monocular depth estimation is a challenging task that predicts the pixel-wise depth from a single 2D image. Current methods typically model this problem as a regression or classification task. We propose DiffusionDepth, a new approach that…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Yiqun Duan , Xianda Guo , Zheng Zhu

Denoising diffusion models are a class of generative models which have recently achieved state-of-the-art results across many domains. Gradual noise is added to the data using a diffusion process, which transforms the data distribution into…

Machine Learning · Statistics 2024-06-28 Francisco Vargas , Teodora Reu , Anna Kerekes , Michael M Bronstein

Denoising diffusion models have become ubiquitous for generative modeling. The core idea is to transport the data distribution to a Gaussian by using a diffusion. Approximate samples from the data distribution are then obtained by…

While Diffusion Generative Models have achieved great success on image generation tasks, how to efficiently and effectively incorporate them into speech generation especially translation tasks remains a non-trivial problem. Specifically,…

Computation and Language · Computer Science 2023-10-27 Yongxin Zhu , Zhujin Gao , Xinyuan Zhou , Zhongyi Ye , Linli Xu

Denoising diffusion probabilistic models have brought tremendous advances in generative tasks, achieving state-of-the-art performance thus far. Current diffusion model-based applications exploit the power of learned visual representations…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Changgyoon Oh , Jongoh Jeong , Jegyeong Cho , Kuk-Jin Yoon

Discrete diffusion language models (dLLMs) provide a fast and flexible alternative to autoregressive models (ARMs) via iterative denoising with parallel updates. However, their evaluation is challenging: existing metrics conflate denoiser…

Machine Learning · Computer Science 2026-05-29 Luhan Tang , Longxuan Yu , Shaorong Zhang , Greg Ver Steeg

Diffusion models have attracted a lot of attention in recent years. These models view speech generation as a continuous-time process. For efficient training, this process is typically restricted to additive Gaussian noising, which is…

Machine Learning · Computer Science 2025-10-14 Xiaozhou Tan , Minghui Zhao , Anton Ragni

Discrete diffusion models are a new class of text generators that offer advantages such as bidirectional context use, parallelizable generation, and flexible prompting compared to autoregressive models. However, a critical limitation of…

Machine Learning · Computer Science 2025-10-23 Andrew Zhang , Anushka Sivakumar , Chiawei Tang , Chris Thomas

We consider the problem of reconstructing a discrete-time signal (sequence) with continuous-valued components corrupted by a known memoryless channel. When performance is measured using a per-symbol loss function satisfying mild regularity…

Information Theory · Computer Science 2008-07-23 Kamakshi Sivaramakrishnan , Tsachy Weissman