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Guiding unconditional diffusion models typically requires either retraining with conditional inputs or per-step gradient computations (e.g., classifier-based guidance), both of which incur substantial computational overhead. We present a…

Machine Learning · Computer Science 2026-02-13 Qingsong Wang , Mikhail Belkin , Yusu Wang

One of the core facets of Bayesianism is in the updating of prior beliefs in light of new evidence$\text{ -- }$so how can we maintain a Bayesian approach if we have no prior beliefs in the first place? This is one of the central challenges…

Machine Learning · Statistics 2026-02-10 Tommy Rochussen , Vincent Fortuin

Adding additional control to pretrained diffusion models has become an increasingly popular research area, with extensive applications in computer vision, reinforcement learning, and AI for science. Recently, several studies have proposed…

Machine Learning · Computer Science 2024-05-30 Yifei Shen , Xinyang Jiang , Yezhen Wang , Yifan Yang , Dongqi Han , Dongsheng Li

Diffusion models are the mainstream approach for time series generation tasks. However, existing diffusion models for time series generation require retraining the entire framework to introduce specific conditional guidance. There also…

Machine Learning · Computer Science 2025-09-25 Mingchun Sun , Rongqiang Zhao , Hengrui Hu , Songyu Ding , Jie Liu

Diffusion distillation models effectively accelerate reverse sampling by compressing the process into fewer steps. However, these models still exhibit a performance gap compared to their pre-trained diffusion model counterparts, exacerbated…

Computer Vision and Pattern Recognition · Computer Science 2024-12-13 Geon Yeong Park , Sang Wan Lee , Jong Chul Ye

Text-driven video generation has advanced significantly due to developments in diffusion models. Beyond the training and sampling phases, recent studies have investigated noise priors of diffusion models, as improved noise priors yield…

Image and Video Processing · Electrical Eng. & Systems 2025-02-20 Yunlong Yuan , Yuanfan Guo , Chunwei Wang , Wei Zhang , Hang Xu , Li Zhang

Amortized variational inference is an often employed framework in simulation-based inference that produces a posterior approximation that can be rapidly computed given any new observation. Unfortunately, there are few guarantees about the…

Methodology · Statistics 2024-07-26 Yash Patel , Declan McNamara , Jackson Loper , Jeffrey Regier , Ambuj Tewari

Guided or controlled data generation with diffusion models\blfootnote{Partial preliminary results of this work appeared in International Conference on Machine Learning 2025 \citep{li2025provable}.} has become a cornerstone of modern…

Machine Learning · Statistics 2025-12-05 Yuchen Jiao , Yuxin Chen , Gen Li

Diffusion models have recently emerged as powerful stochastic frameworks for high-dimensional inference and generation. However, existing applications to partial differential equations (PDEs) predominantly rely on physics-informed training…

Numerical Analysis · Mathematics 2026-04-03 Yi Bing , Liu Jia , Fu Jinyang , Peng Xiang

Simulation-based calibration (SBC) is a method for validating inference algorithms and model implementations through repeated inference on data simulated from a generative model. For a model to be generative, one must specify proper priors.…

Methodology · Statistics 2025-05-26 Luna Fazio , Maximilian Scholz , Javier Enrique Aguilar , Paul-Christian Bürkner

Simulation-based design, optimization, and validation of autonomous vehicles have proven to be crucial for their improvement over the years. Nevertheless, the ultimate measure of effectiveness is their successful transition from simulation…

Robotics · Computer Science 2025-11-21 Chinmay Vilas Samak , Tanmay Vilas Samak , Bing Li , Venkat Krovi

Magnetic resonance imaging (MRI) is a powerful medical imaging modality, but long acquisition times limit throughput, patient comfort, and clinical accessibility. Diffusion-based generative models serve as strong image priors for reducing…

Machine Learning · Computer Science 2026-02-13 Sriram Ravula , Brett Levac , Yamin Arefeen , Ajil Jalal , Alexandros G. Dimakis , Jonathan I. Tamir

Multiscale spatial structure complicates temporal prediction because small-scale spatial fluctuations influence large-scale evolution, yet resolving all scales is often intractable. Standard diffusion models do not address this problem…

Fluid Dynamics · Physics 2026-04-02 Yuki Yasuda , Tobias Bischoff

Recent progress in generative modeling has enabled high-quality visual synthesis with diffusion-based frameworks, supporting controllable sampling and large-scale training. Inference-time guidance methods such as classifier-free and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Wenqiang Zu , Shenghao Xie , Bo Lei , Lei Ma

As one of the most successful generative models, diffusion models have demonstrated remarkable efficacy in synthesizing high-quality images. These models learn the underlying high-dimensional data distribution in an unsupervised manner.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Min Hou , Yueying Wu , Chang Xu , Yu-Hao Huang , Chenxi Bai , Le Wu , Jiang Bian

The objective for establishing dense correspondence between paired images consists of two terms: a data term and a prior term. While conventional techniques focused on defining hand-designed prior terms, which are difficult to formulate,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Jisu Nam , Gyuseong Lee , Sunwoo Kim , Hyeonsu Kim , Hyoungwon Cho , Seyeon Kim , Seungryong Kim

Road user trajectory prediction in dynamic environments is a challenging but crucial task for various applications, such as autonomous driving. One of the main challenges in this domain is the multimodal nature of future trajectories…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Younwoo Choi , Ray Coden Mercurius , Soheil Mohamad Alizadeh Shabestary , Amir Rasouli

Optimizing high-dimensional and complex black-box functions is crucial in numerous scientific applications. While Bayesian optimization (BO) is a powerful method for sample-efficient optimization, it struggles with the curse of…

Machine Learning · Computer Science 2025-07-08 Taeyoung Yun , Kiyoung Om , Jaewoo Lee , Sujin Yun , Jinkyoo Park

Diffusion models have enabled remarkably high-quality medical image generation, yet it is challenging to enforce anatomical constraints in generated images. To this end, we propose a diffusion model-based method that supports…

Image and Video Processing · Electrical Eng. & Systems 2024-06-21 Nicholas Konz , Yuwen Chen , Haoyu Dong , Maciej A. Mazurowski

Amortized meta-learning methods based on pre-training have propelled fields like natural language processing and vision. Transformer-based neural processes and their variants are leading models for probabilistic meta-learning with a…

Machine Learning · Statistics 2025-03-06 Paul E. Chang , Nasrulloh Loka , Daolang Huang , Ulpu Remes , Samuel Kaski , Luigi Acerbi
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