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This paper presents a novel theoretical framework for understanding how diffusion models can learn disentangled representations. Within this framework, we establish identifiability conditions for general disentangled latent variable models,…

Text-to-image diffusion models have made significant progress in generating naturalistic images from textual inputs, and demonstrate the capacity to learn and represent complex visual-semantic relationships. While these diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Rushikesh Zawar , Shaurya Dewan , Prakanshul Saxena , Yingshan Chang , Andrew Luo , Yonatan Bisk

Diffusion models, though originally designed for generative tasks, have demonstrated impressive self-supervised representation learning capabilities. A particularly intriguing phenomenon in these models is the emergence of unimodal…

Machine Learning · Computer Science 2026-02-04 Xiao Li , Zekai Zhang , Xiang Li , Siyi Chen , Zhihui Zhu , Peng Wang , Qing Qu

Most existing theoretical investigations of the accuracy of diffusion models, albeit significant, assume the score function has been approximated to a certain accuracy, and then use this a priori bound to control the error of generation.…

Machine Learning · Computer Science 2024-10-29 Yuqing Wang , Ye He , Molei Tao

Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

Machine Learning · Computer Science 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

Diffusion models have been central to the development of recent image, video, and even text generation systems. They posses striking geometric properties that can be faithfully portrayed in low-dimensional settings. However, existing…

Machine Learning · Computer Science 2025-07-08 Alec Helbling , Duen Horng Chau

There is strong empirical evidence that the state-of-the-art diffusion modeling paradigm leads to models that memorize the training set, especially when the training set is small. Prior methods to mitigate the memorization problem often…

Machine Learning · Computer Science 2026-03-03 Kulin Shah , Alkis Kalavasis , Adam R. Klivans , Giannis Daras

In supervised learning for image denoising, usually the paired clean images and noisy images are collected or synthesised to train a denoising model. L2 norm loss or other distance functions are used as the objective function for training.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Yutong Xie , Minne Yuan , Bin Dong , Quanzheng Li

While many unsupervised learning models focus on one family of tasks, either generative or discriminative, we explore the possibility of a unified representation learner: a model which addresses both families of tasks simultaneously. We…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Soumik Mukhopadhyay , Matthew Gwilliam , Yosuke Yamaguchi , Vatsal Agarwal , Namitha Padmanabhan , Archana Swaminathan , Tianyi Zhou , Jun Ohya , Abhinav Shrivastava

While many unsupervised learning models focus on one family of tasks, either generative or discriminative, we explore the possibility of a unified representation learner: a model which uses a single pre-training stage to address both…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Soumik Mukhopadhyay , Matthew Gwilliam , Vatsal Agarwal , Namitha Padmanabhan , Archana Swaminathan , Srinidhi Hegde , Tianyi Zhou , Abhinav Shrivastava

Diffusion-based generative models have emerged as powerful tools in the realm of generative modeling. Despite extensive research on denoising across various timesteps and noise levels, a conflict persists regarding the relative difficulties…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Jin-Young Kim , Hyojun Go , Soonwoo Kwon , Hyun-Gyoon Kim

Computational neuroimaging involves analyzing brain images or signals to provide mechanistic insights and predictive tools for human cognition and behavior. While diffusion models have shown stability and high-quality generation in natural…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Haokai Zhao , Haowei Lou , Lina Yao , Wei Peng , Ehsan Adeli , Kilian M Pohl , Yu Zhang

Diffusion models are the current state-of-the-art in image generation, synthesizing high-quality images by breaking down the generation process into many fine-grained denoising steps. Despite their good performance, diffusion models are…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Noam Elata , Bahjat Kawar , Tomer Michaeli , Michael Elad

Cross-Modal learning tasks have picked up pace in recent times. With plethora of applications in diverse areas, generation of novel content using multiple modalities of data has remained a challenging problem. To address the same, various…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Nikhil Verma

In this paper, we argue that iterative computation with diffusion models offers a powerful paradigm for not only generation but also visual perception tasks. We unify tasks such as depth estimation, optical flow, and amodal segmentation…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Rahul Ravishankar , Zeeshan Patel , Jathushan Rajasegaran , Jitendra Malik

This paper addresses the problem of generating dynamically admissible trajectories for control tasks using diffusion models, particularly in scenarios where the environment is complex and system dynamics are crucial for practical…

Robotics · Computer Science 2025-10-15 Darshan Gadginmath , Fabio Pasqualetti

Image tokenization plays a central role in modern generative modeling by mapping visual inputs into compact representations that serve as an intermediate signal between pixels and generative models. Diffusion-based decoders have recently…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Chuhan Wang , Hao Chen

Diffusion models have garnered significant attention since they can effectively learn complex multivariate Gaussian distributions, resulting in diverse, high-quality outcomes. They introduce Gaussian noise into training data and reconstruct…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Vidya Prasad , Chen Zhu-Tian , Anna Vilanova , Hanspeter Pfister , Nicola Pezzotti , Hendrik Strobelt

Diffusion models have fundamentally transformed the field of generative models, making the assessment of similarity between customized model outputs and reference inputs critically important. However, traditional perceptual similarity…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Yiren Song , Xiaokang Liu , Mike Zheng Shou

We propose a new class of generative models that naturally handle data of varying dimensionality by jointly modeling the state and dimension of each datapoint. The generative process is formulated as a jump diffusion process that makes…