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While deep neural networks (NN) significantly advance image compressed sensing (CS) by improving reconstruction quality, the necessity of training current CS NNs from scratch constrains their effectiveness and hampers rapid deployment.…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Bin Chen , Zhenyu Zhang , Weiqi Li , Chen Zhao , Jiwen Yu , Shijie Zhao , Jie Chen , Jian Zhang

Diffusion Probabilistic Models (DPMs) are generative models showing competitive performance in various domains, including image synthesis and 3D point cloud generation. Sampling from pre-trained DPMs involves multiple neural function…

Machine Learning · Computer Science 2025-05-21 Vinh Tong , Hoang Trung-Dung , Anji Liu , Guy Van den Broeck , Mathias Niepert

We present a concise, self-contained derivation of diffusion-based generative models. Starting from basic properties of Gaussian distributions (densities, quadratic expectations, re-parameterisation, products, and KL divergences), we…

Machine Learning · Computer Science 2025-11-18 Sepehr Maleki , Negar Pourmoazemi

Diffusion models have emerged as a powerful class of generative models for molecular design, capable of capturing complex structural distributions and achieving high fidelity in 3D molecule generation. However, their widespread use remains…

Machine Learning · Computer Science 2026-01-15 Adrita Das , Peiran Jiang , Dantong Zhu , Barnabas Poczos , Jose Lugo-Martinez

Known for their impressive performance in generative modeling, diffusion models are attractive candidates for density-based anomaly detection. This paper investigates different variations of diffusion modeling for unsupervised and…

Machine Learning · Computer Science 2026-05-11 Victor Livernoche , Vineet Jain , Yashar Hezaveh , Siamak Ravanbakhsh

Denoising diffusion probabilistic models have recently demonstrated state-of-the-art generative performance and have been used as strong pixel-level representation learners. This paper decomposes the interrelation between the generative…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Zixuan Pan , Jianxu Chen , Yiyu Shi

One of the fundamental problems in machine learning is the estimation of a probability distribution from data. Many techniques have been proposed to study the structure of data, most often building around the assumption that observations…

Machine Learning · Statistics 2013-02-22 Oren Rippel , Ryan Prescott Adams

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underlying noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

Signal Processing · Electrical Eng. & Systems 2021-10-13 Eliya Nachmani , Robin San Roman , Lior Wolf

Discrete diffusion models are a class of generative models that construct sequences by progressively denoising samples from a categorical noise distribution. Beyond their rapidly growing ability to generate coherent natural language, these…

Computation and Language · Computer Science 2025-12-11 Michael Cardei , Jacob K Christopher , Thomas Hartvigsen , Bhavya Kailkhura , Ferdinando Fioretto

We present a novel generative modeling method called diffusion normalizing flow based on stochastic differential equations (SDEs). The algorithm consists of two neural SDEs: a forward SDE that gradually adds noise to the data to transform…

Machine Learning · Computer Science 2021-10-15 Qinsheng Zhang , Yongxin Chen

Density ratio estimation (DRE) is a fundamental machine learning technique for comparing two probability distributions. However, existing methods struggle in high-dimensional settings, as it is difficult to accurately compare probability…

Machine Learning · Computer Science 2022-03-15 Kristy Choi , Chenlin Meng , Yang Song , Stefano Ermon

Denoising diffusion probabilistic models (DDPMs) have achieved high quality image generation without adversarial training, yet they require simulating a Markov chain for many steps to produce a sample. To accelerate sampling, we present…

Machine Learning · Computer Science 2022-10-07 Jiaming Song , Chenlin Meng , Stefano Ermon

Recently, the application of diffusion probabilistic models has advanced speech enhancement through generative approaches. However, existing diffusion-based methods have focused on the generation process in high-dimensional waveform or…

Sound · Computer Science 2025-01-20 Shengkui Zhao , Zexu Pan , Kun Zhou , Yukun Ma , Chong Zhang , Bin Ma

We provide an overview of the diffusion model as a method to generate new samples. Generative models have been recently adopted for tasks such as art generation (Stable Diffusion, Dall-E) and text generation (ChatGPT). Diffusion models in…

Machine Learning · Statistics 2025-06-13 Justin Le

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

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

Training energy-based models (EBMs) on high-dimensional data can be both challenging and time-consuming, and there exists a noticeable gap in sample quality between EBMs and other generative frameworks like GANs and diffusion models. To…

Machine Learning · Statistics 2024-11-12 Yaxuan Zhu , Jianwen Xie , Yingnian Wu , Ruiqi Gao

Denoising diffusion (score-based) generative models have recently achieved significant accomplishments in generating realistic and diverse data. These approaches define a forward diffusion process for transforming data into noise and a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Yuzhang Shang , Zhihang Yuan , Bin Xie , Bingzhe Wu , Yan Yan

Recent advancements in diffusion models have demonstrated significant success in unsupervised anomaly segmentation. For anomaly segmentation, these models are first trained on normal data; then, an anomalous image is noised to an…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Mehrdad Moradi , Kamran Paynabar