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Diffusion models generate samples through an iterative denoising process, guided by a neural network. While training the denoiser on real-world data is computationally demanding, the sampling procedure itself is more flexible. This…

Machine Learning · Computer Science 2026-02-10 Constant Bourdrez , Alexandre Vérine , Olivier Cappé

Diffusion models offer a robust framework for sampling from unnormalized probability densities, which requires accurately estimating the score of the noise-perturbed target distribution. While the standard Denoising Score Identity (DSI)…

Machine Learning · Computer Science 2025-12-24 Khaled Kahouli , Romuald Elie , Klaus-Robert Müller , Quentin Berthet , Oliver T. Unke , Arnaud Doucet

Limited transferability hinders the performance of deep learning models when applied to new application scenarios. Recently, unsupervised domain adaptation (UDA) has achieved significant progress in addressing this issue via learning…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Yulong Zhang , Shuhao Chen , Yu Zhang , Jiangang Lu

Scenario-based probabilistic forecasts have become vital for decision-makers in handling intermittent renewable energies. This paper presents a recent promising deep learning generative approach called denoising diffusion probabilistic…

Machine Learning · Computer Science 2023-08-22 Esteban Hernandez Capel , Jonathan Dumas

Conditional generative models of high-dimensional images have many applications, but supervision signals from conditions to images can be expensive to acquire. This paper describes Diffusion-Decoding models with Contrastive representations…

Machine Learning · Computer Science 2021-06-15 Abhishek Sinha , Jiaming Song , Chenlin Meng , Stefano Ermon

We introduce a novel, training-free method for sampling differentiable representations (diffreps) using pretrained diffusion models. Rather than merely mode-seeking, our method achieves sampling by "pulling back" the dynamics of the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Yash Savani , Marc Finzi , J. Zico Kolter

In molecular dynamics simulations, rare events, such as protein folding, are typically studied using enhanced sampling techniques, most of which are based on the definition of a collective variable (CV) along which acceleration occurs.…

Chemical Physics · Physics 2024-07-22 Soojung Yang , Juno Nam , Johannes C. B. Dietschreit , Rafael Gómez-Bombarelli

Coarse-guided visual generation, which synthesizes fine visual samples from degraded or low-fidelity coarse references, is essential for various real-world applications. While training-based approaches are effective, they are inherently…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Yanghao Wang , Ziqi Jiang , Zhen Wang , Long Chen

Diffusion Models (DMs), also referred to as score-based diffusion models, utilize neural networks to specify score functions. Unlike most other probabilistic models, DMs directly model the score functions, which makes them more flexible to…

Machine Learning · Computer Science 2023-04-11 Weijian Luo

We provide a general framework for learning diffusion bridges that transport prior to target distributions. It includes existing diffusion models for generative modeling, but also underdamped versions with degenerate diffusion matrices,…

Machine Learning · Computer Science 2025-08-14 Denis Blessing , Julius Berner , Lorenz Richter , Gerhard Neumann

Data assimilation plays a crucial role in numerical modeling, enabling the integration of real-world observations into mathematical models to enhance the accuracy and predictive capabilities of simulations. This approach is widely applied…

Numerical Analysis · Mathematics 2024-11-08 Alexander Lobbe , Dan Crisan , Oana Lang

Diffusion probabilistic models have been shown to generate state-of-the-art results on several competitive image synthesis benchmarks but lack a low-dimensional, interpretable latent space, and are slow at generation. On the other hand,…

Machine Learning · Computer Science 2022-11-30 Kushagra Pandey , Avideep Mukherjee , Piyush Rai , Abhishek Kumar

The Variational Autoencoder (VAE) is a seminal approach in deep generative modeling with latent variables. Interpreting its reconstruction process as a nonlinear transformation of samples from the latent posterior distribution, we apply the…

Machine Learning · Computer Science 2023-06-09 Faris Janjoš , Lars Rosenbaum , Maxim Dolgov , J. Marius Zöllner

We propose a unified framework aimed at enhancing the diffusion priors for 3D generation tasks. Despite the critical importance of these tasks, existing methodologies often struggle to generate high-caliber results. We begin by examining…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Xiaofeng Yang , Yiwen Chen , Cheng Chen , Chi Zhang , Yi Xu , Xulei Yang , Fayao Liu , Guosheng Lin

Can continuous diffusion models bring the same performance breakthrough on natural language they did for image generation? To circumvent the discrete nature of text data, we can simply project tokens in a continuous space of embeddings, as…

Predicting drop coalescence based on process parameters is crucial for experiment design in chemical engineering. However, predictive models can suffer from the lack of training data and more importantly, the label imbalance problem. In…

Computational Engineering, Finance, and Science · Computer Science 2023-05-02 Kewei Zhu , Sibo Cheng , Nina Kovalchuk , Mark Simmons , Yi-Ke Guo , Omar K. Matar , Rossella Arcucci

We give a mathematical framework for weighted ensemble (WE) sampling, a binning and resampling technique for efficiently computing probabilities in molecular dynamics. We prove that WE sampling is unbiased in a very general setting that…

Numerical Analysis · Mathematics 2018-10-17 David Aristoff

While working within the spatial domain can pose problems associated with ill-conditioned scores caused by power-law decay, recent advances in diffusion-based generative models have shown that transitioning to the wavelet domain offers a…

Artificial Intelligence · Computer Science 2024-11-15 Xiongye Xiao , Shixuan Li , Luzhe Huang , Gengshuo Liu , Trung-Kien Nguyen , Yi Huang , Di Chang , Mykel J. Kochenderfer , Paul Bogdan

Dynamical downscaling is crucial for deriving high-resolution meteorological fields from coarse-scale simulations, enabling detailed analysis for critical applications such as weather forecasting and renewable energy modeling. Generative…

Machine Learning · Computer Science 2025-10-16 Alessandro Brusaferri , Andrea Ballarino

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
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