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Denoising diffusion probabilistic models have transformed image generation with their impressive fidelity and diversity. We show that they also excel in estimating optical flow and monocular depth, surprisingly, without task-specific…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Saurabh Saxena , Charles Herrmann , Junhwa Hur , Abhishek Kar , Mohammad Norouzi , Deqing Sun , David J. Fleet

In recent years, Rectified flow (RF) has gained considerable popularity largely due to its generation efficiency and state-of-the-art performance. In this paper, we investigate the degree to which RF automatically adapts to the intrinsic…

Machine Learning · Statistics 2026-02-24 Saptarshi Roy , Alessandro Rinaldo , Purnamrita Sarkar

Diffusion models have demonstrated remarkable success in various visual generation tasks, including image, video, and 3D content generation. Preference optimization (PO) is a prominent and growing area of research that aims to align these…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Fu-Yun Wang , Keqiang Sun , Yao Teng , Xihui Liu , Jiale Yuan , Jiaming Song , Hongsheng Li

Diffusion-based generative models have achieved remarkable success in various domains. It trains a shared model on denoising tasks that encompass different noise levels simultaneously, representing a form of multi-task learning (MTL).…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Hyojun Go , JinYoung Kim , Yunsung Lee , Seunghyun Lee , Shinhyeok Oh , Hyeongdon Moon , Seungtaek Choi

In recent years, machine learning models like DALL-E, Craiyon, and Stable Diffusion have gained significant attention for their ability to generate high-resolution images from concise descriptions. Concurrently, quantum computing is showing…

Diffusion LLMs have emerged as a promising alternative to conventional autoregressive LLMs, offering significant potential for improved runtime efficiency. However, existing diffusion models lack the ability to provably enforce…

Machine Learning · Computer Science 2025-05-30 Tarun Suresh , Debangshu Banerjee , Shubham Ugare , Sasa Misailovic , Gagandeep Singh

In many Bayesian inverse problems the goal is to recover a spatially varying random field. Such problems are often computationally challenging especially when the forward model is governed by complex partial differential equations (PDEs).…

Numerical Analysis · Mathematics 2022-11-09 Zhihang Xu , Qifeng Liao , Jinglai Li

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

In this paper we revisit the Brownian motion on the basis of {the fractional Langevin equation which turns out to be a particular case of the generalized Langevin equation introduced by Kubo in 1966. The importance of our approach is to…

Statistical Mechanics · Physics 2010-04-21 Francesco Mainardi , Antonio Mura , Francesco Tampieri

Diffusion models have achieved remarkable success in generating high-quality images thanks to their novel training procedures applied to unprecedented amounts of data. However, training a diffusion model from scratch is computationally…

Machine Learning · Computer Science 2023-03-28 Michał Zając , Kamil Deja , Anna Kuzina , Jakub M. Tomczak , Tomasz Trzciński , Florian Shkurti , Piotr Miłoś

We are interested in the time discretization of stochastic differential equations with additive d-dimensional Brownian noise and L q -- L $\rho$ drift coefficient when the condition d $\rho$ + 2 q < 1, under which Krylov and R{\"o}ckner…

Probability · Mathematics 2021-05-12 Benjamin Jourdain , Stéphane Menozzi

Diffusion Probabilistic Models (DPMs) have demonstrated substantial promise in image generation tasks but heavily rely on the availability of large amounts of training data. Previous works, like GANs, have tackled the limited data problem…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Xiyu Wang , Baijiong Lin , Daochang Liu , Chang Xu

Generative modeling has recently undergone remarkable advancements, primarily propelled by the transformative implications of Diffusion Probabilistic Models (DPMs). The impressive capability of these models, however, often entails…

Machine Learning · Computer Science 2023-10-03 Gongfan Fang , Xinyin Ma , Xinchao Wang

Diffusion models achieve strong generative performance but often rely on large datasets that may include sensitive content. This challenge is compounded by the models' tendency to memorize training data, raising privacy concerns. SFBD (Lu…

Machine Learning · Computer Science 2026-04-07 Haoye Lu , Darren Lo , Yaoliang Yu

Single-file diffusion behaves as normal diffusion at small time and as anomalous subdiffusion at large time. These properties can be described by fractional Brownian motion with variable Hurst exponent or multifractional Brownian motion. We…

Statistical Mechanics · Physics 2015-05-13 S. C. Lim , L. P. Teo

Discrete diffusion models generate structured sequences by progressively unmasking tokens, but enforcing global property constraints during generation remains an open challenge. We propose primal-dual guided decoding, an inference-time…

Artificial Intelligence · Computer Science 2026-05-12 Federico Tomasi , Dmitrii Moor , Alice Wang , Mounia Lalmas

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

Diffusion models have recently shown promise in offline RL. However, these methods often suffer from high training costs and slow convergence, particularly when using transformer-based denoising backbones. While several optimization…

Machine Learning · Computer Science 2025-06-23 Zhiying Qiu , Tao Lin

We propose Diffusion Noise Optimization (DNO), a new method that effectively leverages existing motion diffusion models as motion priors for a wide range of motion-related tasks. Instead of training a task-specific diffusion model for each…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Korrawe Karunratanakul , Konpat Preechakul , Emre Aksan , Thabo Beeler , Supasorn Suwajanakorn , Siyu Tang

Detectors often suffer from performance drop due to domain gap between training and testing data. Recent methods explore diffusion models applied to domain generalization (DG) and adaptation (DA) tasks, but still struggle with large…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Boyong He , Yuxiang Ji , Zhuoyue Tan , Liaoni Wu