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An elementary approach to characterizing the impact of noise scheduling and time discretization in generative diffusion models is developed. We first utilize the Cram\'er-Rao bound to identify the Gaussian setting as a fundamental…

Information Theory · Computer Science 2026-02-10 Qiang Sun , H. Vincent Poor , Wenyi Zhang

Diffusion models, which convert noise into new data instances by learning to reverse a Markov diffusion process, have become a cornerstone in contemporary generative modeling. While their practical power has now been widely recognized, the…

Machine Learning · Statistics 2024-03-08 Gen Li , Yuting Wei , Yuxin Chen , Yuejie Chi

This paper is concerned with differentiable resampling in the context of sequential Monte Carlo (e.g., particle filtering). Drawing on reparametrisation, we propose a new resampling method that is informative and instantly differentiable,…

Machine Learning · Statistics 2026-05-29 Jennifer Rosina Andersson , Zheng Zhao

Discrete flow models (DFMs) have been proposed to learn the data distribution on finite state space, offering a flexible framework as an alternative to discrete diffusion models. A line of recent work has studied samplers for discrete…

Machine Learning · Statistics 2026-05-28 Zhengyan Wan , Yidong Ouyang , Liyan Xie , Hongyuan Zha , Fang Fang , Guang Cheng

Denoising diffusion models are widely used for high-quality image and video generation. Their performance depends on noise schedules, which define the distribution of noise levels applied during training and the sequence of noise levels…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Carlos Esteves , Ameesh Makadia

Diffusion models (DMs) are a powerful generative framework that have attracted significant attention in recent years. However, the high computational cost of training DMs limits their practical applications. In this paper, we start with a…

Machine Learning · Computer Science 2024-04-12 Tianshuo Xu , Peng Mi , Ruilin Wang , Yingcong Chen

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

Practically, training diffusion models typically requires explicit time conditioning to guide the network through the denoising sampling process. Especially in deterministic methods like DDIM, the absence of time conditioning leads to…

Machine Learning · Computer Science 2026-04-29 Liuzhuozheng Li , Zhiyuan Zhan , Shuhong Liu , Dengyang Jiang , Zanyi Wang , Guang Dai , Jingdong Wang , Mengmeng Wang

Diffusion models produce high quality images but inference is costly due to many denoising steps and heavy matrix operations. We present DiffPro, a post-training, hardware-faithful framework that works with the exact integer kernels used in…

Machine Learning · Computer Science 2025-11-17 Farhana Amin , Sabiha Afroz , Kanchon Gharami , Mona Moghadampanah , Dimitrios S. Nikolopoulos

Diffusion Probabilistic Models (DPM) have shown remarkable efficacy in the synthesis of high-quality images. However, their inference process characteristically requires numerous, potentially hundreds, of iterative steps, which could…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Mingxiao Li , Tingyu Qu , Ruicong Yao , Wei Sun , Marie-Francine Moens

Deep neural networks often exhibit poor performance on data that is unlikely under the train-time data distribution, for instance data affected by corruptions. Previous works demonstrate that test-time adaptation to data shift, for instance…

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

Denoising Probabilistic Models (DPMs) represent an emerging domain of generative models that excel in generating diverse and high-quality images. However, most current training methods for DPMs often neglect the correlation between…

Computer Vision and Pattern Recognition · Computer Science 2024-02-01 Viet Nguyen , Giang Vu , Tung Nguyen Thanh , Khoat Than , Toan Tran

Classical diffusion models typically rely on isotropic Gaussian noise, treating all regions uniformly and overlooking structural information important for high-quality generation. We introduce an edge-preserving diffusion process that…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Jente Vandersanden , Sascha Holl , Xingchang Huang , Gurprit Singh

Inference-time computation is a powerful paradigm to enhance the performance of large language models (LLMs), with Best-of-N sampling being a widely used technique. However, this method is computationally expensive, requiring both (1) an…

Computation and Language · Computer Science 2024-10-04 Rohin Manvi , Anikait Singh , Stefano Ermon

Generative models, particularly Diffusion Models (DM), have shown strong potential for Computed Tomography (CT) reconstruction serving as expressive priors for solving ill-posed inverse problems. However, diffusion-based reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2026-03-03 Jiayang Shi , Lincen Yang , Zhong Li , Tristan Van Leeuwen , Daniel M. Pelt , K. Joost Batenburg

The iterative and stochastic nature of diffusion models enables test-time scaling, whereby spending additional compute during denoising generates higher-fidelity samples. Increasing the number of denoising steps is the primary scaling axis,…

Machine Learning · Computer Science 2025-09-09 Vignav Ramesh , Morteza Mardani

Recently, it has been shown that investing computing resources in searching for good initial noise for a text-to-image diffusion model helps improve performance. However, previous studies required external models to evaluate the resulting…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Changhyun Choi , Sungha Kim , H. Jin Kim

Generative models have demonstrated strong performance in conditional settings and can be viewed as a form of data compression, where the condition serves as a compact representation. However, their limited controllability and…

Machine Learning · Computer Science 2025-07-04 Xiao Li , Liangji Zhu , Anand Rangarajan , Sanjay Ranka

As a highly expressive generative model, diffusion models have demonstrated exceptional success across various domains, including image generation, natural language processing, and combinatorial optimization. However, as data distributions…

Machine Learning · Computer Science 2025-10-27 Myunsoo Kim , Donghyeon Ki , Seong-Woong Shim , Byung-Jun Lee
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