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Consistency Models (CM) (Song et al., 2023) accelerate score-based diffusion model sampling at the cost of sample quality but lack a natural way to trade-off quality for speed. To address this limitation, we propose Consistency Trajectory…

Score-based diffusion models generate new samples by learning the score function associated with a diffusion process. While the effectiveness of these models can be theoretically explained using differential equations related to the…

Machine Learning · Computer Science 2026-01-21 Doheon Kim

Diffusion models now set the benchmark in high-fidelity generative sampling, yet they can, in principle, be prone to memorization. In this case, their learned score overfits the finite dataset so that the reverse-time SDE samples are mostly…

Machine Learning · Computer Science 2025-05-30 Franck Gabriel , François Ged , Maria Han Veiga , Emmanuel Schertzer

Diffusion models have recently emerged as powerful generative frameworks for producing high-quality images. A pivotal component of these models is the noise schedule, which governs the rate of noise injection during the diffusion process.…

Machine Learning · Computer Science 2025-02-10 Zhehao Guo , Jiedong Lang , Shuyu Huang , Yunfei Gao , Xintong Ding

Many recent works utilize denoising score matching to optimize the conditional input of diffusion models. In this workshop paper, we demonstrate that such optimization breaks the equivalence between denoising score matching and exact score…

Machine Learning · Computer Science 2025-11-18 Tongda Xu

Clustering in high-dimensional settings with severe feature noise remains challenging, especially when only a small subset of dimensions is informative and the final number of clusters is not specified in advance. In such regimes, partition…

Machine Learning · Statistics 2026-04-09 Wan Ping Chen

Score-based model research in the last few years has produced state of the art generative models by employing Gaussian denoising score-matching (DSM). However, the Gaussian noise assumption has several high-dimensional limitations,…

Machine Learning · Computer Science 2022-04-13 Jacob Deasy , Nikola Simidjievski , Pietro Liò

The imputation of missing values in time series has many applications in healthcare and finance. While autoregressive models are natural candidates for time series imputation, score-based diffusion models have recently outperformed existing…

Machine Learning · Computer Science 2021-10-28 Yusuke Tashiro , Jiaming Song , Yang Song , Stefano Ermon

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Diffusion-based methods represented as stochastic differential equations on a continuous-time domain have recently proven successful as a non-adversarial generative model. Training such models relies on denoising score matching, which can…

Machine Learning · Computer Science 2024-11-05 Sarthak Mittal , Korbinian Abstreiter , Stefan Bauer , Bernhard Schölkopf , Arash Mehrjou

Diffusion models are mainly studied on image data. However, non-image data (e.g., tabular data) are also prevalent in real applications and tend to be noisy due to some inevitable factors in the stage of data collection, degrading the…

Machine Learning · Computer Science 2024-10-04 Yangming Li , Max Ruiz Luyten , Mihaela van der Schaar

Diffusion models are powerful tools for sampling from high-dimensional distributions by progressively transforming pure noise into structured data through a denoising process. When equipped with a guidance mechanism, these models can also…

Machine Learning · Computer Science 2026-05-04 Saeed Mohseni-Sehdeh , Walid Saad , Kei Sakaguchi , Tao Yu

Score-based diffusion models (SBDMs) are powerful amortized samplers for Boltzmann distributions; however, imperfect score estimates bias downstream Monte Carlo estimates. Classical importance sampling (IS) can correct this bias, but…

Machine Learning · Computer Science 2025-11-10 Fengzhe Zhang , Laurence I. Midgley , José Miguel Hernández-Lobato

Personalized text-to-image diffusion models have grown popular for their ability to efficiently acquire a new concept from user-defined text descriptions and a few images. However, in the real world, a user may wish to personalize a model…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Saurav Jha , Shiqi Yang , Masato Ishii , Mengjie Zhao , Christian Simon , Muhammad Jehanzeb Mirza , Dong Gong , Lina Yao , Shusuke Takahashi , Yuki Mitsufuji

Diffusion magnetic resonance imaging (dMRI) plays a vital role in both clinical diagnostics and neuroscience research. However, its inherently low signal-to-noise ratio (SNR), especially under high diffusion weighting, significantly…

Quantitative Methods · Quantitative Biology 2026-02-27 Jine Xie , Zhicheng Zhang , Yunwei Chen , Yanqiu Feng , Xinyuan Zhang

Sparse-view computed tomography (CT) reconstruction is fundamentally challenging due to undersampling, leading to an ill-posed inverse problem. Traditional iterative methods incorporate handcrafted or learned priors to regularize the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Leon Suarez-Rodriguez , Roman Jacome , Romario Gualdron-Hurtado , Ana Mantilla-Dulcey , Henry Arguello

Compressed sensing (CS) demonstrates that sparse signals can be estimated from under-determined linear systems. Distributed CS (DCS) further reduces the number of measurements by considering joint sparsity within signal ensembles. DCS with…

Information Theory · Computer Science 2017-03-24 Junan Zhu , Dror Baron , Florent Krzakala

Diffusion models achieve superior generation quality but suffer from slow generation speed due to the iterative nature of denoising. In contrast, consistency models, a new generative family, achieve competitive performance with…

Machine Learning · Computer Science 2024-12-05 Fu-Yun Wang , Zhengyang Geng , Hongsheng Li

We present a supervised learning framework of training generative models for density estimation. Generative models, including generative adversarial networks, normalizing flows, variational auto-encoders, are usually considered as…

Machine Learning · Computer Science 2023-10-24 Yanfang Liu , Minglei Yang , Zezhong Zhang , Feng Bao , Yanzhao Cao , Guannan Zhang

Multivariant time series (MTS) data are usually incomplete in real scenarios, and imputing the incomplete MTS is practically important to facilitate various time series mining tasks. Recently, diffusion model-based MTS imputation methods…

Machine Learning · Computer Science 2024-05-24 S. Zhang , S. Wang , H. Miao , H. Chen , C. Fan , J. Zhang
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