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Diffusion probabilistic models (DPMs) represent a class of powerful generative models. Despite their success, the inference of DPMs is expensive since it generally needs to iterate over thousands of timesteps. A key problem in the inference…

Machine Learning · Computer Science 2022-05-04 Fan Bao , Chongxuan Li , Jun Zhu , Bo Zhang

Recent studies demonstrate that diffusion models can serve as a strong prior for solving inverse problems. A prominent example is Diffusion Posterior Sampling (DPS), which approximates the posterior distribution of data given the measure…

Machine Learning · Statistics 2024-09-16 Yaxuan Zhu , Zehao Dou , Haoxin Zheng , Yasi Zhang , Ying Nian Wu , Ruiqi Gao

Score-based diffusion models are a class of generative models whose dynamics is described by stochastic differential equations that map noise into data. While recent works have started to lay down a theoretical foundation for these models,…

Score-based generative models (SGMs) have recently emerged as a promising class of generative models. However, a fundamental limitation is that their inference is very slow due to a need for many (e.g., 2000) iterations of sequential…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Hengyuan Ma , Li Zhang , Xiatian Zhu , Jianfeng Feng

Out-of-distribution (OOD) detection is a crucial task for ensuring the reliability and safety of deep learning. Currently, discriminator models outperform other methods in this regard. However, the feature extraction process used by…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Luping Liu , Yi Ren , Xize Cheng , Rongjie Huang , Chongxuan Li , Zhou Zhao

Existing image restoration methods mostly leverage the posterior distribution of natural images. However, they often assume known degradation and also require supervised training, which restricts their adaptation to complex real…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Ben Fei , Zhaoyang Lyu , Liang Pan , Junzhe Zhang , Weidong Yang , Tianyue Luo , Bo Zhang , Bo Dai

Diffusion models have shown promising results in speech enhancement, using a task-adapted diffusion process for the conditional generation of clean speech given a noisy mixture. However, at test time, the neural network used for score…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-17 Bunlong Lay , Jean-Marie Lemercier , Julius Richter , Timo Gerkmann

In single image super-resolution (SISR), given a low-resolution (LR) image, one wishes to find a high-resolution (HR) version of it which is both accurate and photo-realistic. Recently, it has been shown that there exists a fundamental…

Image and Video Processing · Electrical Eng. & Systems 2019-10-10 Xin Deng , Ren Yang , Mai Xu , Pier Luigi Dragotti

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

Distribution matching (DM) is a versatile domain-invariant representation learning technique that has been applied to tasks such as fair classification, domain adaptation, and domain translation. Non-parametric DM methods struggle with…

Machine Learning · Computer Science 2025-06-18 Ziyu Gong , Jim Lim , David I. Inouye

Molecular conformation generation poses a significant challenge in the field of computational chemistry. Recently, Diffusion Probabilistic Models (DPMs) and Score-Based Generative Models (SGMs) are effectively used due to their capacity for…

Machine Learning · Computer Science 2024-09-24 Sijia Wang , Chen Wang , Zhenhao Zhao , Jiqiang Zhang , Weiran Cai

Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of this manuscript is to explain, from a PDE perspective, how…

Probability · Mathematics 2025-01-29 Fei Cao , Kimball Johnston , Thomas Laurent , Justin Le , Sébastien Motsch

Multi-target detection (MTD) is the problem of estimating an image from a large, noisy measurement that contains randomly translated and rotated copies of the image. Motivated by the single-particle cryo-electron microscopy technology, we…

Signal Processing · Electrical Eng. & Systems 2023-12-15 Alon Zabatani , Shay Kreymer , Tamir Bendory

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

Recovering signals from low-order moments is a fundamental yet notoriously difficult task in inverse problems. This recovery process often reduces to solving ill-conditioned systems of polynomial equations. In this work, we propose a new…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Rafi Beinhorn , Shay Kreymer , Amnon Balanov , Michael Cohen , Alon Zabatani , Tamir Bendory

We present SURE-Score: an approach for learning score-based generative models using training samples corrupted by additive Gaussian noise. When a large training set of clean samples is available, solving inverse problems via score-based…

Machine Learning · Computer Science 2025-04-23 Asad Aali , Marius Arvinte , Sidharth Kumar , Jonathan I. Tamir

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

Information Theory · Computer Science 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

Denoising Score Matching estimates the score of a noised version of a target distribution by minimizing a regression loss and is widely used to train the popular class of Denoising Diffusion Models. A well known limitation of Denoising…

Machine Learning · Computer Science 2024-02-14 Valentin De Bortoli , Michael Hutchinson , Peter Wirnsberger , Arnaud Doucet

Synthetic data generation has become an emerging tool to help improve the adversarial robustness in classification tasks since robust learning requires a significantly larger amount of training samples compared with standard classification…

Machine Learning · Computer Science 2023-07-06 Yidong Ouyang , Liyan Xie , Guang Cheng

Due to the high complexity and technical requirements of industrial production processes, surface defects will inevitably appear, which seriously affects the quality of products. Although existing lightweight detection networks are highly…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Xuyi Yu
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