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This paper introduces $\infty$-Diff, a generative diffusion model defined in an infinite-dimensional Hilbert space, which can model infinite resolution data. By training on randomly sampled subsets of coordinates and denoising content only…

Machine Learning · Computer Science 2024-03-04 Sam Bond-Taylor , Chris G. Willcocks

We introduce a novel class of score-based diffusion processes that operate directly in the representation space of Lie groups. Leveraging the framework of Generalized Score Matching, we derive a class of Langevin dynamics that decomposes as…

Machine Learning · Computer Science 2025-10-28 Marco Bertolini , Tuan Le , Djork-Arné Clevert

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

Diffusion-based image generative models produce high-fidelity images through iterative denoising but remain vulnerable to memorization, where they unintentionally reproduce exact copies or parts of training images. Recent memorization…

Machine Learning · Computer Science 2026-02-11 Rohan Asthana , Vasileios Belagiannis

The slow iterative sampling nature remains a major bottleneck for the practical deployment of diffusion and flow-based generative models. While consistency models (CMs) represent a state-of-the-art distillation-based approach for efficient…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Linwei Dong , Ruoyu Guo , Ge Bai , Zehuan Yuan , Yawei Luo , Changqing Zou

Generative models, including diffusion models, are increasingly used as foundation models and adapted through sequential fine-tuning, making continual learning an essential problem setting. However, continual learning in such generative…

Machine Learning · Computer Science 2026-05-29 Ken Takeda , Masafumi Oizumi , Ryo Karakida

Denoising diffusion models represent a recent emerging topic in computer vision, demonstrating remarkable results in the area of generative modeling. A diffusion model is a deep generative model that is based on two stages, a forward…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

Diffusion models and flow-matching models have enabled generating diverse and realistic images by learning to transfer noise to data. However, sampling from these models involves iterative denoising over many neural network passes, making…

Machine Learning · Computer Science 2025-06-24 Kevin Frans , Danijar Hafner , Sergey Levine , Pieter Abbeel

Diffusion-based generative models are a design framework that allows generating new images from processes analogous to those found in non-equilibrium thermodynamics. These models model the reversal of a physical diffusion process in which…

Artificial Intelligence · Computer Science 2023-02-21 Jordi de la Torre

The retrieval capabilities of associative neural networks can be impaired by different kinds of noise: the fast noise (which makes neurons more prone to failure), the slow noise (stemming from interference among stored memories), and…

Disordered Systems and Neural Networks · Physics 2020-12-10 Elena Agliari , Giordano De Marzo

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

Statistics Theory · Mathematics 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini

Autoregressive and diffusion models represent two complementary generative paradigms. Autoregressive models excel at sequential planning and constraint composition, yet struggle with tasks that require explicit spatial or physical…

Artificial Intelligence · Computer Science 2026-02-03 Mu Yuan , Liekang Zeng , Guoliang Xing , Lan Zhang , Yunhao Liu

We introduce Autoregressive Diffusion Models (ARDMs), a model class encompassing and generalizing order-agnostic autoregressive models (Uria et al., 2014) and absorbing discrete diffusion (Austin et al., 2021), which we show are special…

Machine Learning · Computer Science 2022-02-03 Emiel Hoogeboom , Alexey A. Gritsenko , Jasmijn Bastings , Ben Poole , Rianne van den Berg , Tim Salimans

Denoising diffusion models are a class of generative models which have recently achieved state-of-the-art results across many domains. Gradual noise is added to the data using a diffusion process, which transforms the data distribution into…

Machine Learning · Statistics 2024-06-28 Francisco Vargas , Teodora Reu , Anna Kerekes , Michael M Bronstein

This work focuses on the training dynamics of one associative memory module storing outer products of token embeddings. We reduce this problem to the study of a system of particles, which interact according to properties of the data…

Machine Learning · Computer Science 2024-03-01 Vivien Cabannes , Berfin Simsek , Alberto Bietti

Recent studies have demonstrated that the forward diffusion process is crucial for the effectiveness of diffusion models in terms of generative quality and sampling efficiency. We propose incorporating an analytical image attenuation…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Yuhang Huang , Zheng Qin , Xinwang Liu , Kai Xu

Urban wind flow modeling and simulation play an important role in air quality assessment and sustainable city planning. A key challenge for modeling and simulation is handling the complex geometries of the urban landscape. Low order models…

Machine Learning · Computer Science 2025-12-18 Francisco Giral , Álvaro Manzano , Ignacio Gómez , Petros Koumoutsakos , Soledad Le Clainche

Diffusion models create data from noise by inverting the forward paths of data towards noise and have emerged as a powerful generative modeling technique for high-dimensional, perceptual data such as images and videos. Rectified flow is a…

Natural data is often organized as a hierarchical composition of features. How many samples do generative models need in order to learn the composition rules, so as to produce a combinatorially large number of novel data? What signal in the…

Machine Learning · Statistics 2025-06-05 Alessandro Favero , Antonio Sclocchi , Francesco Cagnetta , Pascal Frossard , Matthieu Wyart

Creating graphic layouts is a fundamental step in graphic designs. In this work, we present a novel generative model named LayoutDiffusion for automatic layout generation. As layout is typically represented as a sequence of discrete tokens,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Junyi Zhang , Jiaqi Guo , Shizhao Sun , Jian-Guang Lou , Dongmei Zhang
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