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Diffusion models achieve remarkable generation quality but suffer from computational intensive sampling due to suboptimal step discretization. While existing works focus on optimizing denoising directions, we address the principled design…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Jianning Pei , Han Hu , Shuyang Gu

The efficiency of exact simulation methods for the reaction-diffusion master equation (RDME) is severely limited by the large number of diffusion events if the mesh is fine or if diffusion constants are large. Furthermore, inherent…

Numerical Analysis · Computer Science 2015-06-15 Andreas Hellander , Michael Lawson , Brian Drawert , Linda Petzold

Diffusion policies, widely adopted in decision-making scenarios such as robotics, gaming and autonomous driving, are capable of learning diverse skills from demonstration data due to their high representation power. However, the sub-optimal…

Machine Learning · Computer Science 2025-09-30 Ningyuan Yang , Jiaxuan Gao , Feng Gao , Yi Wu , Chao Yu

Score-based diffusion models have achieved remarkable empirical success in generating high-quality samples from target data distributions. Among them, the Denoising Diffusion Probabilistic Model (DDPM) is one of the most widely used…

Machine Learning · Statistics 2025-12-16 Yuchen Jiao , Yuchen Zhou , Gen Li

Despite the recent visually-pleasing results achieved, the massive computational cost has been a long-standing flaw for diffusion probabilistic models (DPMs), which, in turn, greatly limits their applications on resource-limited platforms.…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Xingyi Yang , Daquan Zhou , Jiashi Feng , Xinchao Wang

Randomized iterative methods have gained recent interest in machine learning and signal processing for solving large-scale linear systems. One such example is the randomized Douglas-Rachford (RDR) method, which updates the iterate by…

Numerical Analysis · Mathematics 2025-06-13 Liqi Guo , Ruike Xiang , Deren Han , Jiaxin Xie

Out-of-distribution (OOD) detection is important for deploying reliable machine learning models on real-world applications. Recent advances in outlier exposure have shown promising results on OOD detection via fine-tuning model with…

Machine Learning · Computer Science 2023-10-27 Jianing Zhu , Geng Yu , Jiangchao Yao , Tongliang Liu , Gang Niu , Masashi Sugiyama , Bo Han

There has been a flurry of activity around using pretrained diffusion models as informed data priors for solving inverse problems, and more generally around steering these models using reward models. Training-free methods like diffusion…

Machine Learning · Computer Science 2025-06-13 Aayush Karan , Kulin Shah , Sitan Chen

Denoising Diffusion Probabilistic Models (DDPMs) can generate synthetic timeseries data to help improve the performance of a classifier, but their sampling process is computationally expensive. We address this by combining implicit…

Machine Learning · Computer Science 2025-11-27 Heiko Oppel , Andreas Spilz , Michael Munz

While powerful for generation, Diffusion Probabilistic Models (DPMs) face slow sampling challenges, for which various distillation-based methods have been proposed. However, they typically require significant additional training costs and…

Machine Learning · Computer Science 2025-05-30 Guangyi Wang , Wei Peng , Lijiang Li , Wenyu Chen , Yuren Cai , Songzhi Su

Diffusion-based generative models have become dominant generators of high-fidelity images and videos but remain limited by their computationally expensive inference procedures. Existing acceleration techniques either require extensive model…

Machine Learning · Computer Science 2025-07-22 Jiaqi Han , Haotian Ye , Puheng Li , Minkai Xu , James Zou , Stefano Ermon

In recent years, Rectified flow (RF) has gained considerable popularity largely due to its generation efficiency and state-of-the-art performance. In this paper, we investigate the degree to which RF automatically adapts to the intrinsic…

Machine Learning · Statistics 2026-02-24 Saptarshi Roy , Alessandro Rinaldo , Purnamrita Sarkar

Denoising diffusion models (DDMs) offer a flexible framework for sampling from high dimensional data distributions. DDMs generate a path of probability distributions interpolating between a reference Gaussian distribution and a data…

Machine Learning · Statistics 2024-12-12 Christopher Williams , Andrew Campbell , Arnaud Doucet , Saifuddin Syed

In this study, we employ Euler's method and Richardson's extrapolation to solve a triple integral, which is then transformed into a third-order initial value problem. Our objective is to resolve the computational challenges associated with…

Numerical Analysis · Mathematics 2026-02-17 Shubhangini Gupta , Prashant Sharma , Tamal Pramanick

Denoising Diffusion Probabilistic Model (DDPM) is able to make flexible conditional image generation from prior noise to real data, by introducing an independent noise-aware classifier to provide conditional gradient guidance at each time…

Computer Vision and Pattern Recognition · Computer Science 2022-09-21 Shengming Li , Guangcong Zheng , Hui Wang , Taiping Yao , Yang Chen , Shoudong Ding , Xi Li

Distributional shift is one of the major obstacles when transferring machine learning prediction systems from the lab to the real world. To tackle this problem, we assume that variation across training domains is representative of the…

Given a fixed $n\times d$ matrix $\mathbf{X}$, where $n\gg d$, we study the complexity of sampling from a distribution over all subsets of rows where the probability of a subset is proportional to the squared volume of the parallelepiped…

Machine Learning · Computer Science 2019-02-25 Michał Dereziński

For image inpainting, the existing Denoising Diffusion Probabilistic Model (DDPM) based method i.e. RePaint can produce high-quality images for any inpainting form. It utilizes a pre-trained DDPM as a prior and generates inpainting results…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Lintao Zhang , Xiangcheng Du , LeoWu TomyEnrique , Yiqun Wang , Yingbin Zheng , Cheng Jin

Approximate solutions of Urysohn integral equations using projection methods involve integrals which need to be evaluated using a numerical quadrature formula. It gives rise to the discrete versions of the projection methods. For $r \geq…

Numerical Analysis · Mathematics 2019-12-13 Gobinda Rakshit , Rekha P. Kulkarni

Direct Preference Optimization (DPO) has emerged as a predominant alignment method for diffusion models, facilitating off-policy training without explicit reward modeling. However, its reliance on large-scale, high-quality human preference…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Khiem Pham , Quang Nguyen , Tung Nguyen , Jingsen Zhu , Michele Santacatterina , Dimitris Metaxas , Ramin Zabih
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