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In this work, we investigate an intriguing and prevalent phenomenon of diffusion models which we term as "consistent model reproducibility": given the same starting noise input and a deterministic sampler, different diffusion models often…

Machine Learning · Computer Science 2024-06-11 Huijie Zhang , Jinfan Zhou , Yifu Lu , Minzhe Guo , Peng Wang , Liyue Shen , Qing Qu

Diffusion models are typically trained using score matching, a learning objective agnostic to the underlying noising process that guides the model. This paper argues that Markov noising processes enjoy an advantage over alternatives, as the…

Machine Learning · Statistics 2025-05-27 Zheyang Shen , Huihui Wang , Marina Riabiz , Chris J. Oates

Masked discrete diffusion is a dominant paradigm for high-quality language modeling where tokens are iteratively corrupted to a mask state, yet its inference efficiency is bottlenecked by the lack of deterministic sampling tools. While…

Machine Learning · Computer Science 2026-02-03 Guinan Chen , Xunpeng Huang , Ying Sun , Shijin Wang , Yanyong Zhang , Chao Wang

In generative models, two paradigms have gained attraction in various applications: next-set prediction-based Masked Generative Models and next-noise prediction-based Non-Autoregressive Models, e.g., Diffusion Models. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Vincent Tao Hu , Björn Ommer

Prompt learning has demonstrated promising results in fine-tuning pre-trained multimodal models. However, the performance improvement is limited when applied to more complex and fine-grained tasks. The reason is that most existing methods…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Weicai Yan , Wang Lin , Zirun Guo , Ye Wang , Fangming Feng , Xiaoda Yang , Zehan Wang , Tao Jin

Denoising diffusion probabilistic models have recently demonstrated state-of-the-art generative performance and have been used as strong pixel-level representation learners. This paper decomposes the interrelation between the generative…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Zixuan Pan , Jianxu Chen , Yiyu Shi

Diffusion models represent a powerful family of generative models widely used for image and video generation. However, the time-consuming deployment, long inference time, and requirements on large memory hinder their applications on…

Machine Learning · Computer Science 2025-04-18 Kafeng Wang , Jianfei Chen , He Li , Zhenpeng Mi , Jun Zhu

Masked Diffusion Models (MDMs) have emerged as one of the most promising paradigms for generative modeling over discrete domains. It is known that MDMs effectively train to decode tokens in a random order, and that this ordering has…

Machine Learning · Computer Science 2025-11-25 Prateek Garg , Bhavya Kohli , Sunita Sarawagi

We present an novel framework for efficiently and effectively extending the powerful continuous diffusion processes to discrete modeling. Previous approaches have suffered from the discrepancy between discrete data and continuous modeling.…

Machine Learning · Computer Science 2024-10-31 Yuxuan Gu , Xiaocheng Feng , Lei Huang , Yingsheng Wu , Zekun Zhou , Weihong Zhong , Kun Zhu , Bing Qin

Diffusions are a successful technique to sample from high-dimensional distributions. The target distribution can be either explicitly given or learnt from a collection of samples. They implement a diffusion process whose endpoint is a…

Machine Learning · Computer Science 2025-09-03 Andrea Montanari

Diffusion models (DMs) are a class of generative machine learning methods that sample a target distribution by transforming samples of a trivial (often Gaussian) distribution using a learned stochastic differential equation. In standard…

Statistical Mechanics · Physics 2024-08-15 Luke Causer , Grant M. Rotskoff , Juan P. Garrahan

Generative models on discrete state-spaces have a wide range of potential applications, particularly in the domain of natural sciences. In continuous state-spaces, controllable and flexible generation of samples with desired properties has…

Machine Learning · Computer Science 2025-03-27 Hunter Nisonoff , Junhao Xiong , Stephan Allenspach , Jennifer Listgarten

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

Diffusion models are a class of generative models that learn to synthesize samples by inverting a diffusion process that gradually maps data into noise. While these models have enjoyed great success recently, a full theoretical…

Machine Learning · Computer Science 2023-09-22 Raja Marjieh , Ilia Sucholutsky , Thomas A. Langlois , Nori Jacoby , Thomas L. Griffiths

Building on recent advances in image generation, we present a fully data-driven approach to rendering markup into images. The approach is based on diffusion models, which parameterize the distribution of data using a sequence of denoising…

Machine Learning · Computer Science 2022-10-12 Yuntian Deng , Noriyuki Kojima , Alexander M. Rush

Speculative sampling is a popular technique for accelerating inference in Large Language Models by generating candidate tokens using a fast draft model and accepting or rejecting them based on the target model's distribution. While…

Machine Learning · Computer Science 2025-07-08 Valentin De Bortoli , Alexandre Galashov , Arthur Gretton , Arnaud Doucet

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underline noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

Machine Learning · Computer Science 2021-06-17 Eliya Nachmani , Robin San Roman , Lior Wolf

Diffusion probabilistic models have achieved remarkable success in generative tasks across diverse data types. While recent studies have explored alternative degradation processes beyond Gaussian noise, this paper bridges two key diffusion…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Hao-Chien Hsueh , Chi-En Yen , Wen-Hsiao Peng , Ching-Chun Huang

Discrete diffusion models are increasingly competitive for language modeling, yet it remains unclear how their denoising objectives organize learning. Although these objectives target the full data distribution, we show that the exact…

Machine Learning · Computer Science 2026-05-15 Adrian Müller , Antoine Gonon , Zebang Shen , Ya-Ping Hsieh , Niao He

Uniform-state discrete diffusion models hold the promise of fast text generation due to their inherent ability to self-correct. However, they are typically outperformed by autoregressive models and masked diffusion models. In this work, we…

Machine Learning · Computer Science 2025-12-22 Subham Sekhar Sahoo , Justin Deschenaux , Aaron Gokaslan , Guanghan Wang , Justin Chiu , Volodymyr Kuleshov