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Over recent years, denoising diffusion generative models have come to be considered as state-of-the-art methods for synthetic data generation, especially in the case of generating images. These approaches have also proved successful in…

Machine Learning · Computer Science 2023-06-30 Stratis Limnios , Praveen Selvaraj , Mihai Cucuringu , Carsten Maple , Gesine Reinert , Andrew Elliott

Diffusion Models (DMs) have emerged as powerful generative models with unprecedented image generation capability. These models are widely used for data augmentation and creative applications. However, DMs reflect the biases present in the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Rishubh Parihar , Abhijnya Bhat , Abhipsa Basu , Saswat Mallick , Jogendra Nath Kundu , R. Venkatesh Babu

Diffusion models have established themselves as state-of-the-art generative models across various data modalities, including images and videos, due to their ability to accurately approximate complex data distributions. Unlike traditional…

Machine Learning · Computer Science 2025-10-23 Daniel Wesego

Identifying model parameters from observed configurations poses a fundamental challenge in data science, especially with limited data. Recently, diffusion models have emerged as a novel paradigm in generative machine learning, capable of…

Data Analysis, Statistics and Probability · Physics 2025-03-14 Yechan Lim , Sangwon Lee , Junghyo Jo

Data assimilation is a technique for increasing the accuracy of simulations of solutions to partial differential equations by incorporating observable data into the solution as time evolves. Recently, a promising new algorithm for data…

Analysis of PDEs · Mathematics 2018-12-06 Adam Larios , Collin Victor

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

We propose a novel denoising diffusion generative model for predicting nonlinear fluid fields named FluidDiff. By performing a diffusion process, the model is able to learn a complex representation of the high-dimensional dynamic system,…

Machine Learning · Computer Science 2023-01-31 Gefan Yang , Stefan Sommer

Diffusion models have recently emerged as the dominant approach in visual generation tasks. However, the lengthy denoising chains and the computationally intensive noise estimation networks hinder their applicability in low-latency and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Qian Zeng , Jie Song , Yuanyu Wan , Huiqiong Wang , Mingli Song

Contact-based estimation of object pose is challenging due to discontinuities and ambiguous observations that can correspond to multiple possible system states. This multimodality makes it difficult to efficiently sample valid hypotheses…

Diffusion models have been used in cosmological applications as a generative model for fast simulations and to reconstruct underlying cosmological fields or astrophysical images from noisy data. These two tasks are often treated as…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-07 Supranta S. Boruah , Michael Jacob , Bhuvnesh Jain

Denoising diffusion models (DDMs) have recently attracted increasing attention by showing impressive synthesis quality. DDMs are built on a diffusion process that pushes data to the noise distribution and the models learn to denoise. In…

Machine Learning · Computer Science 2023-05-16 Jaemoo Choi , Yesom Park , Myungjoo Kang

In this paper, we propose a novel framework that combines ensemble learning with augmented graph structures to improve the performance and robustness of semi-supervised node classification in graphs. By creating multiple augmented views of…

Machine Learning · Computer Science 2025-03-25 Maryam Abdolali , Romina Zakerian , Behnam Roshanfekr , Fardin Ayar , Mohammad Rahmati

Optimal extraction of cosmological information from observations of the Cosmic Microwave Background critically relies on our ability to accurately undo the distortions caused by weak gravitational lensing. In this work, we demonstrate the…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-07 Thomas Flöss , William R. Coulton , Adriaan J. Duivenvoorden , Francisco Villaescusa-Navarro , Benjamin D. Wandelt

Federated ensemble distillation addresses client heterogeneity by generating pseudo-labels for an unlabeled server dataset based on client predictions and training the server model using the pseudo-labeled dataset. The unlabeled server…

Machine Learning · Computer Science 2025-05-20 Won-Jun Jang , Hyeon-Seo Park , Si-Hyeon Lee

While diffusion models have emerged as a powerful class of generative models, their learning dynamics remain poorly understood. We address this issue first by empirically showing that standard diffusion models trained on natural images…

Machine Learning · Statistics 2026-05-21 Lorenzo Bardone , Claudia Merger , Sebastian Goldt

The advancements in the state of the art of generative Artificial Intelligence (AI) brought by diffusion models can be highly beneficial in novel contexts involving Earth observation data. After introducing this new family of generative…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Fulvio Sanguigni , Mikolaj Czerkawski , Lorenzo Papa , Irene Amerini , Bertrand Le Saux

Many dynamical systems are difficult or impossible to model using high fidelity physics based models. Consequently, researchers are relying more on data driven models to make predictions and forecasts. Based on limited training data,…

Chaotic Dynamics · Physics 2025-04-09 Max M. Chumley , Firas A. Khasawneh

With the advent of future big-data surveys, automated tools for unsupervised discovery are becoming ever more necessary. In this work, we explore the ability of deep generative networks for detecting outliers in astronomical imaging…

For continuous-time linear stochastic dynamical systems driven by Wiener processes, we consider the problem of designing ensemble filters when the observation process is randomly time-sampled. We propose a continuous-discrete McKean--Vlasov…

Optimization and Control · Mathematics 2024-06-21 Aneel Tanwani , Olga Yufereva

Learning turbulence models from observation data is of significant interest in discovering a unified model for a broad range of practical flow applications. Either the direct observation of Reynolds stress or the indirect observation of…

Fluid Dynamics · Physics 2023-07-19 Xin-Lei Zhang , Heng Xiao , Xiaodong Luo , Guowei He
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