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This article provides a mathematically rigorous introduction to denoising diffusion probabilistic models (DDPMs), sometimes also referred to as diffusion probabilistic models or diffusion models, for generative artificial intelligence. We…

Machine Learning · Computer Science 2024-12-03 Davide Gallon , Arnulf Jentzen , Philippe von Wurstemberger

Diffusion-based generative models have recently emerged as powerful solutions for high-quality synthesis in multiple domains. Leveraging the bidirectional Markov chains, diffusion probabilistic models generate samples by inferring the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Mengyi Zhao , Mengyuan Liu , Bin Ren , Shuling Dai , Nicu Sebe

Diffusion Probabilistic Models stand as a critical tool in generative modelling, enabling the generation of complex data distributions. This family of generative models yields record-breaking performance in tasks such as image synthesis,…

Denoising diffusion probabilistic models (DDPMs) have emerged as powerful generative models for complex distributions, yet their use in arbitrage-free derivative pricing remains largely unexplored. Financial asset prices are naturally…

Mathematical Finance · Quantitative Finance 2026-03-24 Nilay Tiwari

Differential dynamic microscopy (DDM) typically relies on movies containing hundreds or thousands of frames to accurately quantify motion in soft matter systems. Using movies much shorter in duration produces noisier and less accurate…

Soft Condensed Matter · Physics 2024-11-05 Gildardo Martinez , Justin Siu , Steven Dang , Dylan Gage , Emma Kao , Juan Carlos Avila , Ruilin You , Ryan McGorty

Correcting for detector effects in experimental data, particularly through unfolding, is critical for enabling precision measurements in high-energy physics. However, traditional unfolding methods face challenges in scalability,…

Data Analysis, Statistics and Probability · Physics 2024-11-28 Camila Pazos , Shuchin Aeron , Pierre-Hugues Beauchemin , Vincent Croft , Zhengyan Huan , Martin Klassen , Taritree Wongjirad

This work explores the theoretical and practical foundations of denoising diffusion probabilistic models (DDPMs) and score-based generative models, which leverage stochastic processes and Brownian motion to model complex data distributions.…

Machine Learning · Computer Science 2024-12-30 Jathin Korrapati , Tanish Baranwal , Rahul Shah

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Head-Related Transfer Functions (HRTFs) have fundamental applications for realistic rendering in immersive audio scenarios. However, they are strongly subject-dependent as they vary considerably depending on the shape of the ears, head and…

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

Inverse problems exist in many disciplines of science and engineering. In computer vision, for example, tasks such as inpainting, deblurring, and super resolution can be effectively modeled as inverse problems. Recently, denoising diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Shayan Mohajer Hamidi , En-Hui Yang

The field of face anti-spoofing (FAS) has witnessed great progress with the surge of deep learning. Due to its data-driven nature, existing FAS methods are sensitive to the noise in the dataset, which will hurdle the learning process.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-28 Yuanhan Zhang , Yichao Wu , Zhenfei Yin , Jing Shao , Ziwei Liu

Existing customization methods require access to multiple reference examples to align pre-trained diffusion probabilistic models (DPMs) with user-provided concepts. This paper aims to address the challenge of DPM customization when the only…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Jiachun Pan , Jun Hao Liew , Vincent Y. F. Tan , Jiashi Feng , Hanshu Yan

This study aims to develop a novel Cycle-guided Denoising Diffusion Probability Model (CG-DDPM) for cross-modality MRI synthesis. The CG-DDPM deploys two DDPMs that condition each other to generate synthetic images from two different MRI…

Image and Video Processing · Electrical Eng. & Systems 2023-05-02 Shaoyan Pan , Chih-Wei Chang , Junbo Peng , Jiahan Zhang , Richard L. J. Qiu , Tonghe Wang , Justin Roper , Tian Liu , Hui Mao , Xiaofeng Yang

Quantitative MRI (qMRI) offers significant advantages over weighted images by providing objective parameters related to tissue properties. Deep learning-based methods have demonstrated effectiveness in estimating quantitative maps from…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Shishuai Wang , Hua Ma , Juan A. Hernandez-Tamames , Stefan Klein , Dirk H. J. Poot

Medical imaging applications are highly specialized in terms of human anatomy, pathology, and imaging domains. Therefore, annotated training datasets for training deep learning applications in medical imaging not only need to be highly…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Arjun Krishna , Ge Wang , Klaus Mueller

Generative quantum machine learning has gained significant attention for its ability to produce quantum states with desired distributions. Among various quantum generative models, quantum denoising diffusion probabilistic models (QuDDPMs)…

Quantum Physics · Physics 2025-03-05 Gino Kwun , Bingzhi Zhang , Quntao Zhuang

Generating healthy counterfactuals from pathological images holds significant promise in medical imaging, e.g., in anomaly detection or for application of analysis tools that are designed for healthy scans. These counterfactuals should…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Ana Lawry Aguila , Peirong Liu , Marina Crespo Aguirre , Juan Eugenio Iglesias

A prominent family of methods for learning data distributions relies on density ratio estimation (DRE), where a model is trained to $\textit{classify}$ between data samples and samples from some reference distribution. DRE-based models can…

Machine Learning · Computer Science 2024-11-01 Shahar Yadin , Noam Elata , Tomer Michaeli

Denoising diffusion probabilistic models (DDPMs) employ a sequence of white Gaussian noise samples to generate an image. In analogy with GANs, those noise maps could be considered as the latent code associated with the generated image.…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Inbar Huberman-Spiegelglas , Vladimir Kulikov , Tomer Michaeli
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