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We propose a data-efficient, physics-aware generative framework in function space for inverse PDE problems. Existing plug-and-play diffusion posterior samplers represent physics implicitly through joint coefficient-solution modeling,…

Machine Learning · Computer Science 2026-03-03 Thomas Y. L. Lin , Jiachen Yao , Lufang Chiang , Julius Berner , Anima Anandkumar

Score-based generative models have demonstrated significant practical success in data-generating tasks. The models establish a diffusion process that perturbs the ground truth data to Gaussian noise and then learn the reverse process to…

Machine Learning · Computer Science 2024-05-24 Ziqing Wen , Xiaoge Deng , Ping Luo , Tao Sun , Dongsheng Li

Although continuous-time consistency models (e.g., sCM, MeanFlow) are theoretically principled and empirically powerful for fast academic-scale diffusion, its applicability to large-scale text-to-image and video tasks remains unclear due to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Kaiwen Zheng , Yuji Wang , Qianli Ma , Huayu Chen , Jintao Zhang , Yogesh Balaji , Jianfei Chen , Ming-Yu Liu , Jun Zhu , Qinsheng Zhang

Inverse problems, where the goal is to recover an unknown signal from noisy or incomplete measurements, are central to applications in medical imaging, remote sensing, and computational biology. Diffusion models have recently emerged as…

Machine Learning · Computer Science 2026-01-15 Shayan Mohajer Hamidi , En-Hui Yang , Ben Liang

Diffusion models excel at generative modeling (e.g., text-to-image) but sampling requires multiple denoising network passes, limiting practicality. Efforts such as progressive distillation or consistency distillation have shown promise by…

Machine Learning · Computer Science 2025-04-01 Risheek Garrepalli , Shweta Mahajan , Munawar Hayat , Fatih Porikli

In recent years, pre-trained multimodal large models have attracted widespread attention due to their outstanding performance in various multimodal applications. Nonetheless, the extensive computational resources and vast datasets required…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zhengyang Liang , Meiyu Liang , Wei Huang , Yawen Li , Zhe Xue

The generative priors of pre-trained latent diffusion models (DMs) have demonstrated great potential to enhance the visual quality of image super-resolution (SR) results. However, the noise sampling process in DMs introduces randomness in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-26 Lingchen Sun , Rongyuan Wu , Jie Liang , Zhengqiang Zhang , Hongwei Yong , Lei Zhang

Deep neural networks have achieved impressive performance across a wide range of tasks, but this success often comes with substantial computational and storage costs due to large-scale training data. Dataset distillation addresses this…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Mingzhuo Li , Guang Li , Linfeng Ye , Jiafeng Mao , Takahiro Ogawa , Konstantinos N. Plataniotis , Miki Haseyama

Video generation has recently emerged as a central task in the field of generative AI. However, the substantial computational cost inherent in video synthesis makes model distillation a critical technique for efficient deployment. Despite…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yuyang You , Yongzhi Li , Jiahui Li , Yadong Mu , Quan Chen , Peng Jiang

To sample from a general target distribution $p_*\propto e^{-f_*}$ beyond the isoperimetric condition, Huang et al. (2023) proposed to perform sampling through reverse diffusion, giving rise to Diffusion-based Monte Carlo (DMC).…

Machine Learning · Statistics 2024-01-15 Xunpeng Huang , Difan Zou , Hanze Dong , Yian Ma , Tong Zhang

In this paper, we propose a novel training procedure for the continual representation learning problem in which a neural network model is sequentially learned to alleviate catastrophic forgetting in visual search tasks. Our method, called…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Tommaso Barletti , Niccolo' Biondi , Federico Pernici , Matteo Bruni , Alberto Del Bimbo

In recent years we have witnessed a growth in mathematics for deep learning, which has been used to solve inverse problems of partial differential equations (PDEs). However, most deep learning-based inversion methods either require paired…

Numerical Analysis · Mathematics 2024-04-23 Enze Jiang , Jishen Peng , Zheng Ma , Xiong-Bin Yan

By leveraging the text-to-image diffusion priors, score distillation can synthesize 3D contents without paired text-3D training data. Instead of spending hours of online optimization per text prompt, recent studies have been focused on…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Zhiyuan Ma , Yuxiang Wei , Yabin Zhang , Xiangyu Zhu , Zhen Lei , Lei Zhang

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

The increased demand for 3D data in AR/VR, robotics and gaming applications, gave rise to powerful generative pipelines capable of synthesizing high-quality 3D objects. Most of these models rely on the Score Distillation Sampling (SDS)…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Ziyu Wan , Despoina Paschalidou , Ian Huang , Hongyu Liu , Bokui Shen , Xiaoyu Xiang , Jing Liao , Leonidas Guibas

We tackle the challenging issue of aggressive fine-tuning encountered during the process of transfer learning of pre-trained language models (PLMs) with limited labeled downstream data. This problem primarily results in a decline in…

Computation and Language · Computer Science 2023-12-13 Ibtihel Amara , Vinija Jain , Aman Chadha

While powerful methods have been developed for high-dimensional hypothesis testing assuming orthogonal parameters, current approaches struggle to generalize to the more common non-orthogonal case. We propose Stable Distillation (SD), a…

Methodology · Statistics 2025-01-10 Ryan Christ , Ira Hall , David Steinsaltz

Diffusion models for super-resolution (SR) produce high-quality visual results but require expensive computational costs. Despite the development of several methods to accelerate diffusion-based SR models, some (e.g., SinSR) fail to produce…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Daniil Selikhanovych , David Li , Aleksei Leonov , Nikita Gushchin , Sergei Kushneriuk , Alexander Filippov , Evgeny Burnaev , Iaroslav Koshelev , Alexander Korotin

Generative diffusion models have achieved remarkable success in producing high-quality images. However, these models typically operate in continuous intensity spaces, diffusing independently across pixels and color channels. As a result,…

Graphics · Computer Science 2025-05-20 Javier E. Santos , Agnese Marcato , Roman Colman , Nicholas Lubbers , Yen Ting Lin

Score-based Generative Models (SGMs) have demonstrated exceptional synthesis outcomes across various tasks. However, the current design landscape of the forward diffusion process remains largely untapped and often relies on physical…

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