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Diffusion models are recent state-of-the-art methods for image generation and likelihood estimation. In this work, we generalize continuous-time diffusion models to arbitrary Riemannian manifolds and derive a variational framework for…

Machine Learning · Computer Science 2022-08-18 Chin-Wei Huang , Milad Aghajohari , Avishek Joey Bose , Prakash Panangaden , Aaron Courville

Denoising is intuitively related to projection. Indeed, under the manifold hypothesis, adding random noise is approximately equivalent to orthogonal perturbation. Hence, learning to denoise is approximately learning to project. In this…

Machine Learning · Computer Science 2024-06-04 Frank Permenter , Chenyang Yuan

Denoising diffusion models (DDMs) have recently attracted increasing attention by showing impressive synthesis quality. DDMs are built on a diffusion process that pushes data to the noise distribution and the models learn to denoise. In…

Machine Learning · Computer Science 2023-05-16 Jaemoo Choi , Yesom Park , Myungjoo Kang

Using statistical physics methods, we study generative diffusion models in the regime where the dimension of space and the number of data are large, and the score function has been trained optimally. Our analysis reveals three distinct…

Machine Learning · Computer Science 2025-01-08 Giulio Biroli , Tony Bonnaire , Valentin de Bortoli , Marc Mézard

This paper addresses the novel challenge of ``rewinding'' time from a single captured image to recover the fleeting moments missed just before the shutter button is pressed. This problem poses a significant challenge in computer vision and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Jingxi Chen , Brandon Y. Feng , Haoming Cai , Mingyang Xie , Christopher Metzler , Cornelia Fermuller , Yiannis Aloimonos

Cameras and LiDAR are essential sensors for autonomous vehicles. Camera-LiDAR data fusion compensate for deficiencies of stand-alone sensors but relies on precise extrinsic calibration. Many learning-based calibration methods predict…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Ni Ou , Zhuo Chen , Xinru Zhang , Junzheng Wang

Recently, the diffusion model has emerged as a powerful generative technique for robotic policy learning, capable of modeling multi-mode action distributions. Leveraging its capability for end-to-end autonomous driving is a promising…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Bencheng Liao , Shaoyu Chen , Haoran Yin , Bo Jiang , Cheng Wang , Sixu Yan , Xinbang Zhang , Xiangyu Li , Ying Zhang , Qian Zhang , Xinggang Wang

Standard diffusion models involve an image transform -- adding Gaussian noise -- and an image restoration operator that inverts this degradation. We observe that the generative behavior of diffusion models is not strongly dependent on the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Arpit Bansal , Eitan Borgnia , Hong-Min Chu , Jie S. Li , Hamid Kazemi , Furong Huang , Micah Goldblum , Jonas Geiping , Tom Goldstein

Diffusion models have gained traction as powerful algorithms for synthesizing high-quality images. Central to these algorithms is the diffusion process, a set of equations which maps data to noise in a way that can significantly affect…

Machine Learning · Computer Science 2024-11-12 Subham Sekhar Sahoo , Aaron Gokaslan , Chris De Sa , Volodymyr Kuleshov

Diffusion models achieve state-of-the-art image generation but remain computationally costly due to iterative denoising. Latent-space models like Stable Diffusion reduce overhead yet lose fine detail, while retrieval-augmented methods…

Machine Learning · Computer Science 2025-12-23 Bilal Faye , Hanane Azzag , Mustapha Lebbah

Generative models have made significant impacts across various domains, largely due to their ability to scale during training by increasing data, computational resources, and model size, a phenomenon characterized by the scaling laws.…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Nanye Ma , Shangyuan Tong , Haolin Jia , Hexiang Hu , Yu-Chuan Su , Mingda Zhang , Xuan Yang , Yandong Li , Tommi Jaakkola , Xuhui Jia , Saining Xie

While foundation models demonstrate impressive performance across various tasks, they remain vulnerable to adversarial inputs. Current research explores various approaches to enhance model robustness, with Diffusion Denoised Smoothing…

Machine Learning · Computer Science 2025-05-22 Yury Belousov , Brian Pulfer , Vitaliy Kinakh , Slava Voloshynovskiy

Denoising diffusion models have recently emerged as the predominant paradigm for generative modelling on image domains. In addition, their extension to Riemannian manifolds has facilitated a range of applications across the natural…

Machine Learning · Computer Science 2023-11-10 Nic Fishman , Leo Klarner , Emile Mathieu , Michael Hutchinson , Valentin de Bortoli

Diffusion models have obtained substantial progress in image-to-video generation. However, in this paper, we find that these models tend to generate videos with less motion than expected. We attribute this to the issue called conditional…

Computer Vision and Pattern Recognition · Computer Science 2024-11-07 Min Zhao , Hongzhou Zhu , Chendong Xiang , Kaiwen Zheng , Chongxuan Li , Jun Zhu

Stochastic human motion prediction aims to forecast multiple plausible future motions given a single pose sequence from the past. Most previous works focus on designing elaborate losses to improve the accuracy, while the diversity is…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Dong Wei , Huaijiang Sun , Bin Li , Jianfeng Lu , Weiqing Li , Xiaoning Sun , Shengxiang Hu

Diffusion probabilistic models have achieved remarkable success in generative tasks across diverse data types. While recent studies have explored alternative degradation processes beyond Gaussian noise, this paper bridges two key diffusion…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Hao-Chien Hsueh , Chi-En Yen , Wen-Hsiao Peng , Ching-Chun Huang

Although powerful for image generation, consistent and controllable video is a longstanding problem for diffusion models. Video models require extensive training and computational resources, leading to high costs and large environmental…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Muhammad Haaris Khan , Hadrien Reynaud , Bernhard Kainz

Visual anagrams are images that change appearance upon transformation, like flipping or rotation. With the advent of diffusion models, generating such optical illusions can be achieved by averaging noise across multiple views during the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Zhiyuan Xu , Yinhe Chen , Huan-ang Gao , Weiyan Zhao , Guiyu Zhang , Hao Zhao

Video inpainting is the task of filling a region in a video in a visually convincing manner. It is very challenging due to the high dimensionality of the data and the temporal consistency required for obtaining convincing results. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Nicolas Cherel , Andrés Almansa , Yann Gousseau , Alasdair Newson

Generative flows and diffusion models have been predominantly trained on ordinal data, for example natural images. This paper introduces two extensions of flows and diffusion for categorical data such as language or image segmentation:…

Machine Learning · Statistics 2021-10-25 Emiel Hoogeboom , Didrik Nielsen , Priyank Jaini , Patrick Forré , Max Welling