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Understanding the geometry of learned distributions is fundamental to improving and interpreting diffusion models, yet systematic tools for exploring their landscape remain limited. Standard latent-space interpolations fail to respect the…

Machine Learning · Statistics 2026-02-26 Elio Moreau , Florentin Coeurdoux , Grégoire Ferre , Eric Vanden-Eijnden

Generating high-resolution images with generative models has recently been made widely accessible by leveraging diffusion models pre-trained on large-scale datasets. Various techniques, such as MultiDiffusion and SyncDiffusion, have further…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Stanislav Frolov , Brian B. Moser , Andreas Dengel

Image interpolation based on diffusion models is promising in creating fresh and interesting images. Advanced interpolation methods mainly focus on spherical linear interpolation, where images are encoded into the noise space and then…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 PengFei Zheng , Yonggang Zhang , Zhen Fang , Tongliang Liu , Defu Lian , Bo Han

Despite their groundbreaking performance for many generative modeling tasks, diffusion models have fallen short on discrete data domains such as natural language. Crucially, standard diffusion models rely on the well-established theory of…

Machine Learning · Statistics 2024-06-10 Aaron Lou , Chenlin Meng , Stefano Ermon

In this paper, we propose a novel diffusion-based approach to generate stereo images given a text prompt. Since stereo image datasets with large baselines are scarce, training a diffusion model from scratch is not feasible. Therefore, we…

Computer Vision and Pattern Recognition · Computer Science 2025-07-24 Aakash Garg , Libing Zeng , Andrii Tsarov , Nima Khademi Kalantari

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…

The importance of wild video based image set recognition is becoming monotonically increasing. However, the contents of these collected videos are often complicated, and how to efficiently perform set modeling and feature extraction is a…

Computer Vision and Pattern Recognition · Computer Science 2019-08-07 Rui Wang , XiaoJun Wu , Josef Kittler

Diffusion models when conditioned on text prompts, generate realistic-looking images with intricate details. But most of these pre-trained models fail to generate accurate images when it comes to human features like hands, teeth, etc. We…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Gurusha Juneja , Sukrit Kumar

Diffusion models now generate high-quality, diverse samples, with an increasing focus on more powerful models. Although ensembling is a well-known way to improve supervised models, its application to unconditional score-based diffusion…

Machine Learning · Computer Science 2026-01-22 Raphaël Razafindralambo , Rémy Sun , Frédéric Precioso , Damien Garreau , Pierre-Alexandre Mattei

Score-based generative models (SGMs) need to approximate the scores $\nabla \log p_t$ of the intermediate distributions as well as the final distribution $p_T$ of the forward process. The theoretical underpinnings of the effects of these…

Machine Learning · Statistics 2022-10-18 Jakiw Pidstrigach

This work proposes a geometric insight into equivariant message passing on Riemannian manifolds. As previously proposed, numerical features on Riemannian manifolds are represented as coordinate-independent feature fields on the manifold. To…

Machine Learning · Statistics 2023-10-17 Ilyes Batatia

Diffusion Probabilistic Methods are employed for state-of-the-art image generation. In this work, we present a method for extending such models for performing image segmentation. The method learns end-to-end, without relying on a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-08 Tomer Amit , Tal Shaharbany , Eliya Nachmani , Lior Wolf

Score-based diffusion models have emerged as a powerful class of generative methods, achieving state-of-the-art performance across diverse domains. Despite their empirical success, the mathematical foundations of those models remain only…

Optimization and Control · Mathematics 2026-05-13 Kang Liu , Enrique Zuazua

Text-to-image diffusion models have recently attracted the interest of many researchers, and inverting the diffusion process can play an important role in better understanding the generative process and how to engineer prompts in order to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

Image classification serves as the cornerstone of computer vision, traditionally achieved through discriminative models based on deep neural networks. Recent advancements have introduced classification methods derived from generative…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Chunxiao Li , Xiaoxiao Wang , Boming Miao , Chuanlong Xie , Zizhe Wang , Yao Zhu

Diffusion models are widely used for generative tasks across domains. Given a pre-trained diffusion model, it is often desirable to fine-tune it further either to correct for errors in learning or to align with downstream applications.…

Score-based diffusion models learn to reverse a stochastic differential equation that maps data to noise. However, for complex tasks, numerical error can compound and result in highly unnatural samples. Previous work mitigates this drift…

Machine Learning · Statistics 2023-06-12 Aaron Lou , Stefano Ermon

We propose a simple but effective training-free approach tailored to diffusion-based image-to-image translation. Our approach revises the original noise prediction network of a pretrained diffusion model by introducing a noise correction…

Computer Vision and Pattern Recognition · Computer Science 2024-09-13 Junsung Lee , Minsoo Kang , Bohyung Han

Neural Style Transfer (NST) is the field of study applying neural techniques to modify the artistic appearance of a content image to match the style of a reference style image. Traditionally, NST methods have focused on texture-based image…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Dan Ruta , Gemma Canet Tarrés , Andrew Gilbert , Eli Shechtman , Nicholas Kolkin , John Collomosse

Data-driven Riemannian geometry has emerged as a powerful tool for interpretable representation learning, offering improved efficiency in downstream tasks. Moving forward, it is crucial to balance cheap manifold mappings with efficient…

Machine Learning · Computer Science 2025-05-26 Willem Diepeveen , Georgios Batzolis , Zakhar Shumaylov , Carola-Bibiane Schönlieb
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