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We introduce Compartmentalized Diffusion Models (CDM), a method to train different diffusion models (or prompts) on distinct data sources and arbitrarily compose them at inference time. The individual models can be trained in isolation, at…

Machine Learning · Computer Science 2024-10-15 Aditya Golatkar , Alessandro Achille , Ashwin Swaminathan , Stefano Soatto

We study the theoretical foundations of composition in diffusion models, with a particular focus on out-of-distribution extrapolation and length-generalization. Prior work has shown that composing distributions via linear score combination…

Machine Learning · Computer Science 2025-09-29 Arwen Bradley , Preetum Nakkiran , David Berthelot , James Thornton , Joshua M. Susskind

A prominent theory of affective response to music revolves around the concepts of surprisal and expectation. In prior work, this idea has been operationalized in the form of probabilistic models of music which allow for precise computation…

Sound · Computer Science 2023-10-06 Ninon Lizé Masclef , T. Anderson Keller

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

Generative AI has received significant attention among a spectrum of diverse industrial and academic domains, thanks to the magnificent results achieved from deep generative models such as generative pre-trained transformers (GPT) and…

Information Theory · Computer Science 2023-10-06 Mehdi Letafati , Samad Ali , Matti Latva-aho

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

The blooming diffusion probabilistic models (DPMs) have garnered significant interest due to their impressive performance and the elegant inspiration they draw from physics. While earlier DPMs relied upon the Markovian assumption, recent…

Artificial Intelligence · Computer Science 2023-12-12 Bowen Sun , Shibao Zheng

Generative modelling over continuous-time geometric constructs, a.k.a such as handwriting, sketches, drawings etc., have been accomplished through autoregressive distributions. Such strictly-ordered discrete factorization however falls…

Machine Learning · Computer Science 2023-04-11 Ayan Das , Yongxin Yang , Timothy Hospedales , Tao Xiang , Yi-Zhe Song

Inverse problems aim to determine parameters from observations, a crucial task in engineering and science. Lately, generative models, especially diffusion models, have gained popularity in this area for their ability to produce realistic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Gabriel della Maggiora , Luis Alberto Croquevielle , Nikita Deshpande , Harry Horsley , Thomas Heinis , Artur Yakimovich

To obtain high-quality positron emission tomography (PET) scans while reducing radiation exposure to the human body, various approaches have been proposed to reconstruct standard-dose PET (SPET) images from low-dose PET (LPET) images. One…

Image and Video Processing · Electrical Eng. & Systems 2023-08-22 Zeyu Han , Yuhan Wang , Luping Zhou , Peng Wang , Binyu Yan , Jiliu Zhou , Yan Wang , Dinggang Shen

Diffusion models have shown remarkable performance on many generative tasks. Despite recent success, most diffusion models are restricted in that they only allow linear transformation of the data distribution. In contrast, broader family of…

Machine Learning · Computer Science 2024-06-04 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Diffusion models have achieved huge empirical success in data generation tasks. Recently, some efforts have been made to adapt the framework of diffusion models to discrete state space, providing a more natural approach for modeling…

Machine Learning · Statistics 2024-02-15 Hongrui Chen , Lexing Ying

Diffusion models (DMs) are a powerful generative framework that have attracted significant attention in recent years. However, the high computational cost of training DMs limits their practical applications. In this paper, we start with a…

Machine Learning · Computer Science 2024-04-12 Tianshuo Xu , Peng Mi , Ruilin Wang , Yingcong Chen

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

Diffusion models have demonstrated exceptional performances in various fields of generative modeling, but suffer from slow sampling speed due to their iterative nature. While this issue is being addressed in continuous domains, discrete…

Machine Learning · Computer Science 2025-05-12 Satoshi Hayakawa , Yuhta Takida , Masaaki Imaizumi , Hiromi Wakaki , Yuki Mitsufuji

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 models have emerged as a prominent technique in generative modeling with neural networks, making their mark in tasks like text-to-image translation and super-resolution. In this tutorial, we provide a comprehensive guide to build…

Image and Video Processing · Electrical Eng. & Systems 2025-01-24 Harshith Bachimanchi , Giovanni Volpe

In this work, we address the challenge of multi-task image generation with limited data for denoising diffusion probabilistic models (DDPM), a class of generative models that produce high-quality images by reversing a noisy diffusion…

Machine Learning · Computer Science 2023-11-29 Delaram Pirhayatifard , Mohammad Taha Toghani , Guha Balakrishnan , César A. Uribe

Computational fluid dynamics (CFD) is a powerful tool for modeling turbulent flow and is commonly used for urban microclimate simulations. However, traditional CFD methods are computationally intensive, requiring substantial hardware…

This paper proposes DiffPF, a differentiable particle filter that leverages diffusion models for state estimation in dynamic systems. Unlike conventional differentiable particle filters, which require importance weighting and typically rely…

Robotics · Computer Science 2026-01-13 Ziyu Wan , Lin Zhao