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This study investigates the dynamics of Score-based Generative Models (SGMs) by treating the score estimation error as a stochastic source driving the Fokker-Planck equation. Departing from particle-centric SDE analyses, we employ an SPDE…

Machine Learning · Computer Science 2026-02-10 Junsu Seo

This paper aims to unify Score-based Generative Models (SGMs), also known as Diffusion models, and the Schr\"odinger Bridge (SB) problem through three reparameterization techniques: Iterative Proportional Mean-Matching (IPMM), Iterative…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Zhicong Tang , Tiankai Hang , Shuyang Gu , Dong Chen , Baining Guo

Masked generative models (MGMs) have shown impressive generative ability while providing an order of magnitude efficient sampling steps compared to continuous diffusion models. However, MGMs still underperform in image synthesis compared to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Jiwan Hur , Dong-Jae Lee , Gyojin Han , Jaehyun Choi , Yunho Jeon , Junmo Kim

Discrete diffusion models have achieved strong empirical performance in text and other symbolic domains, but, especially for uniform-rate models, they often require many steps to generate a single sample. Existing acceleration methods…

Machine Learning · Computer Science 2026-05-27 Yuchen Liang , Ness Shroff , Yingbin Liang

Score Distillation Sampling (SDS) has been pivotal for leveraging pre-trained diffusion models in downstream tasks such as inverse problems, but it faces two major challenges: $(i)$ mode collapse and $(ii)$ latent space inversion, which…

Machine Learning · Computer Science 2024-10-15 Nicolas Zilberstein , Morteza Mardani , Santiago Segarra

Diffusion-based generative models have become dominant generators of high-fidelity images and videos but remain limited by their computationally expensive inference procedures. Existing acceleration techniques either require extensive model…

Machine Learning · Computer Science 2025-07-22 Jiaqi Han , Haotian Ye , Puheng Li , Minkai Xu , James Zou , Stefano Ermon

In applications of diffusion models, controllable generation is of practical significance, but is also challenging. Current methods for controllable generation primarily focus on modifying the score function of diffusion models, while Mean…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Ao Li , Wei Fang , Hongbo Zhao , Le Lu , Ge Yang , Minfeng Xu

Designing algorithms for solving high-dimensional Bayesian inverse problems directly in infinite-dimensional function spaces - where such problems are naturally formulated - is crucial to ensure stability and convergence as the…

Machine Learning · Statistics 2025-12-02 Lorenzo Baldassari , Josselin Garnier , Knut Solna , Maarten V. de Hoop

Recent advances in fast sampling methods for diffusion models have demonstrated significant potential to accelerate generation on image modalities. We apply these methods to 3-dimensional molecular conformations by building on the recently…

Quantitative Methods · Quantitative Biology 2024-04-23 Romain Lacombe , Neal Vaidya

Diffusion models have been successful on a range of conditional generation tasks including molecular design and text-to-image generation. However, these achievements have primarily depended on task-specific conditional training or…

Machine Learning · Statistics 2024-11-26 Luhuan Wu , Brian L. Trippe , Christian A. Naesseth , David M. Blei , John P. Cunningham

The proposed BSDE-based diffusion model represents a novel approach to diffusion modeling, which extends the application of stochastic differential equations (SDEs) in machine learning. Unlike traditional SDE-based diffusion models, our…

Machine Learning · Computer Science 2023-04-27 Zihao Wang

Diffusion models have achieved remarkable success in generating high-resolution, realistic images across diverse natural distributions. However, their performance heavily relies on high-quality training data, making it challenging to learn…

Machine Learning · Computer Science 2025-05-22 Tianyu Chen , Yasi Zhang , Zhendong Wang , Ying Nian Wu , Oscar Leong , Mingyuan Zhou

Diffusion models are a state-of-the-art generative modeling framework that transform noise to images via Langevin sampling, guided by the score, which is the gradient of the logarithm of the data distribution. Recent works have shown…

Machine Learning · Computer Science 2025-08-01 Aadithya Srikanth , Siddarth Asokan , Nishanth Shetty , Chandra Sekhar Seelamantula

Recent advancements in diffusion models have positioned them at the forefront of image generation. Despite their superior performance, diffusion models are not without drawbacks; they are characterized by complex architectures and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Yuda Song , Zehao Sun , Xuanwu Yin

The increased demand for 3D data in AR/VR, robotics and gaming applications, gave rise to powerful generative pipelines capable of synthesizing high-quality 3D objects. Most of these models rely on the Score Distillation Sampling (SDS)…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Ziyu Wan , Despoina Paschalidou , Ian Huang , Hongyu Liu , Bokui Shen , Xiaoyu Xiang , Jing Liao , Leonidas Guibas

Score-based diffusion models (SBDM) have recently emerged as state-of-the-art approaches for image generation. Existing SBDMs are typically formulated in a finite-dimensional setting, where images are considered as tensors of finite size.…

Machine Learning · Computer Science 2024-10-22 Paul Hagemann , Sophie Mildenberger , Lars Ruthotto , Gabriele Steidl , Nicole Tianjiao Yang

Diffusion models have recently emerged as a powerful framework for generative modeling. They consist of a forward process that perturbs input data with Gaussian white noise and a reverse process that learns a score function to generate…

Speculative sampling is a popular technique for accelerating inference in Large Language Models by generating candidate tokens using a fast draft model and accepting or rejecting them based on the target model's distribution. While…

Machine Learning · Computer Science 2025-07-08 Valentin De Bortoli , Alexandre Galashov , Arthur Gretton , Arnaud Doucet

Score Distillation Sampling (SDS) has emerged as a prevalent technique for text-to-3D generation, enabling 3D content creation by distilling view-dependent information from text-to-2D guidance. However, they frequently exhibit shortcomings…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Zeyu Cai , Duotun Wang , Yixun Liang , Zhijing Shao , Ying-Cong Chen , Xiaohang Zhan , Zeyu Wang

Adaptive or dynamic signal sampling in sensing systems can adapt subsequent sampling strategies based on acquired signals, thereby potentially improving image quality and speed. This paper proposes a Bayesian method for adaptive sampling…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Guanhua Wang , Douglas C. Noll , Jeffrey A. Fessler