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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…

数值分析 · 数学 2024-11-08 Alexander Lobbe , Dan Crisan , Oana Lang

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

Ensembles of neural networks have been shown to give better performance than single networks, both in terms of predictions and uncertainty estimation. Additionally, ensembles allow the uncertainty to be decomposed into aleatoric (data) and…

机器学习 · 统计学 2021-01-11 Jakob Lindqvist , Amanda Olmin , Fredrik Lindsten , Lennart Svensson

While the formulation of most data assimilation schemes assumes an unbiased observation model error, in real applications, model error with nontrivial biases is unavoidable. A practical example is the error in the radiative transfer model…

统计方法学 · 统计学 2016-11-17 John Harlim , Tyrus Berry

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

流体动力学 · 物理学 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

In supervised learning for image denoising, usually the paired clean images and noisy images are collected or synthesised to train a denoising model. L2 norm loss or other distance functions are used as the objective function for training.…

计算机视觉与模式识别 · 计算机科学 2023-02-07 Yutong Xie , Minne Yuan , Bin Dong , Quanzheng Li

The accuracy of simulation-based forecasting in chaotic systems is heavily dependent on high-quality estimates of the system state at the time the forecast is initialized. Data assimilation methods are used to infer these initial conditions…

机器学习 · 计算机科学 2021-11-02 Michael McCabe , Jed Brown

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underlying noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

信号处理 · 电气工程与系统科学 2021-10-13 Eliya Nachmani , Robin San Roman , Lior Wolf

Generative diffusion models synthesize new samples by reversing a diffusive process that converts a given data set to generic noise. This is accomplished by training a neural network to match the gradient of the log of the probability…

机器学习 · 计算机科学 2023-10-11 Akhil Premkumar

Dataset distillation enables the training of deep neural networks with comparable performance in significantly reduced time by compressing large datasets into small and representative ones. Although the introduction of generative models has…

机器学习 · 计算机科学 2025-05-27 Mingzhuo Li , Guang Li , Jiafeng Mao , Takahiro Ogawa , Miki Haseyama

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

统计方法学 · 统计学 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Although numerical weather forecasting methods have dominated the field, recent advances in deep learning methods, such as diffusion models, have shown promise in ensemble weather forecasting. However, such models are typically…

机器学习 · 计算机科学 2025-09-16 Kevin Valencia , Ziyang Liu , Justin Cui

The success of diffusion probabilistic models in generative tasks, such as text-to-image generation, has motivated the exploration of their application to regression problems commonly encountered in scientific computing and various other…

机器学习 · 计算机科学 2024-08-12 Dule Shu , Amir Barati Farimani

We introduce the concept of deceptive diffusion -- training a generative AI model to produce adversarial images. Whereas a traditional adversarial attack algorithm aims to perturb an existing image to induce a misclassificaton, the…

机器学习 · 计算机科学 2024-07-01 Lucas Beerens , Catherine F. Higham , Desmond J. Higham

Artificial ensemble inflation is a common technique in ensemble data assimilation, whereby the ensemble covariance is periodically increased in order to prevent deviation of the ensemble from the observations and possible ensemble collapse.…

数据分析、统计与概率 · 物理学 2018-10-17 Thomas Bellsky , Lewis Mitchell

Video summarization aims to eliminate visual redundancy while retaining key parts of video to construct concise and comprehensive synopses. Most existing methods use discriminative models to predict the importance scores of video frames.…

计算机视觉与模式识别 · 计算机科学 2024-12-13 Zirui Shang , Yubo Zhu , Hongxi Li , Shuo Yang , Xinxiao Wu

Denoising diffusion models are a powerful type of generative models used to capture complex distributions of real-world signals. However, their applicability is limited to scenarios where training samples are readily available, which is not…

计算机视觉与模式识别 · 计算机科学 2023-11-20 Ayush Tewari , Tianwei Yin , George Cazenavette , Semon Rezchikov , Joshua B. Tenenbaum , Frédo Durand , William T. Freeman , Vincent Sitzmann

Denoising models such as Diffusion or Flow Matching have recently advanced generative modeling for discrete structures, yet most approaches either operate directly in the discrete state space, causing abrupt state changes. We introduce…

机器学习 · 计算机科学 2026-03-31 Yoann Boget , Alexandros Kalousis

Ensemble weather forecasts enable a measure of uncertainty to be attached to each forecast, by computing the ensemble's spread. However, generating an ensemble with a good spread-error relationship is far from trivial, and a wide range of…

大气与海洋物理 · 物理学 2021-01-05 Sebastian Scher , Gabriele Messori

Diffusion models, which convert noise into new data instances by learning to reverse a Markov diffusion process, have become a cornerstone in contemporary generative modeling. While their practical power has now been widely recognized, the…

机器学习 · 统计学 2024-03-08 Gen Li , Yuting Wei , Yuxin Chen , Yuejie Chi