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Score-based diffusion models represent a significant variant within the diffusion model family and have seen extensive application in the increasingly popular domain of generative tasks. Recent investigations have explored the denoising…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Hao Mo , Yaping Sun , Shumin Yao , Hao Chen , Zhiyong Chen , Xiaodong Xu , Nan Ma , Meixia Tao , Shuguang Cui

Whereas diverse variations of diffusion models exist, extending the linear diffusion into a nonlinear diffusion process is investigated by very few works. The nonlinearity effect has been hardly understood, but intuitively, there would be…

Machine Learning · Computer Science 2022-10-14 Dongjun Kim , Byeonghu Na , Se Jung Kwon , Dongsoo Lee , Wanmo Kang , Il-Chul Moon

Semi-implicit distributions have shown great promise in variational inference and generative modeling. Hierarchical semi-implicit models, which stack multiple semi-implicit layers, enhance the expressiveness of semi-implicit distributions…

Machine Learning · Statistics 2025-06-10 Longlin Yu , Jiajun Zha , Tong Yang , Tianyu Xie , Xiangyu Zhang , S. -H. Gary Chan , Cheng Zhang

With the remarkable advent of text-to-image diffusion models, image editing methods have become more diverse and continue to evolve. A promising recent approach in this realm is Delta Denoising Score (DDS) - an image editing technique based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Hyelin Nam , Gihyun Kwon , Geon Yeong Park , Jong Chul Ye

Diffusion models have achieved remarkable success in imaging inverse problems owing to their powerful generative capabilities. However, existing approaches typically rely on models trained for specific degradation types, limiting their…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Zhen Wang , Hongyi Liu , Zhihui Wei

Denoising diffusion models have emerged as a dominant paradigm in image generation. Discretizing image data into tokens is a critical step for effectively integrating images with Transformer and other architectures. Although the Denoising…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Fei Kong

Discrete diffusion models have emerged as powerful tools for high-quality data generation. Despite their success in discrete spaces, such as text generation tasks, the acceleration of discrete diffusion models remains under-explored. In…

Machine Learning · Computer Science 2024-12-09 Zixiang Chen , Huizhuo Yuan , Yongqian Li , Yiwen Kou , Junkai Zhang , Quanquan Gu

The gradient discretisation method (GDM) is a generic framework for designing and analysing numerical schemes for diffusion models. In this paper, we study the GDM for the porous medium equation, including fast diffusion and slow diffusion…

Numerical Analysis · Mathematics 2020-04-02 Jerome Droniou , Kim-Ngan Le

Image generative models, particularly diffusion-based models, have surged in popularity due to their remarkable ability to synthesize highly realistic images. However, since these models are data-driven, they inherit biases from the…

Machine Learning · Computer Science 2025-03-18 Lin-Chun Huang , Ching Chieh Tsao , Fang-Yi Su , Jung-Hsien Chiang

We provide theoretical convergence guarantees for score-based generative models (SGMs) such as denoising diffusion probabilistic models (DDPMs), which constitute the backbone of large-scale real-world generative models such as DALL$\cdot$E…

Machine Learning · Computer Science 2023-04-18 Sitan Chen , Sinho Chewi , Jerry Li , Yuanzhi Li , Adil Salim , Anru R. Zhang

Diffusion models suffer from slow sample generation at inference time. Therefore, developing a principled framework for fast deterministic/stochastic sampling for a broader class of diffusion models is a promising direction. We propose two…

Machine Learning · Computer Science 2023-10-13 Kushagra Pandey , Maja Rudolph , Stephan Mandt

Diffusion models have achieved remarkable success in image generation but their practical application is often hindered by the slow sampling speed. Prior efforts of improving efficiency primarily focus on compressing models or reducing the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Jiuyi Xu , Qing Jin , Meida Chen , Andrew Feng , Yang Sui , Yangming Shi

Image super-resolution (SR) has attracted increasing attention due to its wide applications. However, current SR methods generally suffer from over-smoothing and artifacts, and most work only with fixed magnifications. This paper introduces…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Sicheng Gao , Xuhui Liu , Bohan Zeng , Sheng Xu , Yanjing Li , Xiaoyan Luo , Jianzhuang Liu , Xiantong Zhen , Baochang Zhang

We present a conditional diffusion model - ConDiSim, for simulation-based inference of complex systems with intractable likelihoods. ConDiSim leverages denoising diffusion probabilistic models to approximate posterior distributions,…

Machine Learning · Computer Science 2025-10-17 Mayank Nautiyal , Andreas Hellander , Prashant Singh

Diffusion Models (DMs), also referred to as score-based diffusion models, utilize neural networks to specify score functions. Unlike most other probabilistic models, DMs directly model the score functions, which makes them more flexible to…

Machine Learning · Computer Science 2023-04-11 Weijian Luo

Denoising diffusions are state-of-the-art generative models exhibiting remarkable empirical performance. They work by diffusing the data distribution into a Gaussian distribution and then learning to reverse this noising process to obtain…

Machine Learning · Statistics 2024-02-20 Joe Benton , Yuyang Shi , Valentin De Bortoli , George Deligiannidis , Arnaud Doucet

Reversing a diffusion process by learning its score forms the heart of diffusion-based generative modeling and for estimating properties of scientific systems. The diffusion processes that are tractable center on linear processes with a…

Machine Learning · Computer Science 2024-07-12 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Timbre transfer techniques aim at converting the sound of a musical piece generated by one instrument into the same one as if it was played by another instrument, while maintaining as much as possible the content in terms of musical…

Audio and Speech Processing · Electrical Eng. & Systems 2023-07-31 Luca Comanducci , Fabio Antonacci , Augusto Sarti

We propose using a Gaussian Mixture Model (GMM) as reverse transition operator (kernel) within the Denoising Diffusion Implicit Models (DDIM) framework, which is one of the most widely used approaches for accelerated sampling from…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Prasad Gabbur

Molecular dynamics (MD) has long been the de facto choice for simulating complex atomistic systems from first principles. Recently deep learning models become a popular way to accelerate MD. Notwithstanding, existing models depend on…

Computational Engineering, Finance, and Science · Computer Science 2023-01-10 Fang Wu , Stan Z. Li