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We develop adaptive estimation and inference methods for high-dimensional Gaussian copula regression that achieve the same performance without the knowledge of the marginal transformations as that for high-dimensional linear regression.…

统计方法学 · 统计学 2015-12-09 T. Tony Cai , Linjun Zhang

Multi-model ensemble analysis integrates information from multiple climate models into a unified projection. However, existing integration approaches based on model averaging can dilute fine-scale spatial information and incur bias from…

应用统计 · 统计学 2023-04-12 Trevor Harris , Bo Li , Ryan Sriver

Spatial data are often derived from multiple sources (e.g. satellites, in-situ sensors, survey samples) with different supports, but associated with the same properties of a spatial phenomenon of interest. It is common for predictors to…

Extreme floods cause casualties, and widespread damage to property and vital civil infrastructure. We here propose a Bayesian approach for predicting extreme floods using the generalized extreme-value (GEV) distribution within gauged and…

统计方法学 · 统计学 2021-04-07 Árni V. Johannesson , Stefan Siegert , Raphaël Huser , Haakon Bakka , Birgir Hrafnkelsson

By learning the gradient of smoothed data distributions, diffusion models can iteratively generate samples from complex distributions. The learned score function enables their generalization capabilities, but how the learned score relates…

机器学习 · 计算机科学 2024-12-16 Binxu Wang , John J. Vastola

The success of deep learning techniques over the last decades has opened up a new avenue of research for weather forecasting. Here, we take the novel approach of using a neural network to predict full probability density functions at each…

机器学习 · 统计学 2022-01-05 Mariana Clare , Omar Jamil , Cyril Morcrette

We discuss an approach to probabilistic forecasting based on two chained machine-learning steps: a dimensional reduction step that learns a reduction map of predictor information to a low-dimensional space in a manner designed to preserve…

机器学习 · 统计学 2022-03-28 Nick Rittler , Carlo Graziani , Jiali Wang , Rao Kotamarthi

Gaussian process regression is a powerful Bayesian nonlinear regression method. Recent research has enabled the capture of many types of observations using non-Gaussian likelihoods. To deal with various tasks in spatial modeling, we benefit…

机器学习 · 统计学 2025-08-26 Yuta Shikuri

The conditional generative adversarial rainfall model "cGAN" developed for the UK \cite{Harris22} was trained to post-process into an ensemble and downscale ERA5 rainfall to 1km resolution over three regions of the USA and the UK. Relative…

大气与海洋物理 · 物理学 2023-09-28 Fenwick C. Cooper , Andrew T. T. McRae , Matthew Chantry , Bobby Antonio , Tim N. Palmer

We introduce a flexible and scalable class of Bayesian geostatistical models for discrete data, based on the class of nearest neighbor mixture transition distribution processes (NNMP), referred to as discrete NNMP. The proposed class…

统计方法学 · 统计学 2022-03-04 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Surrogate models are often used to replace costly-to-evaluate complex coastal codes to achieve substantial computational savings. In many of those models, the hydrometeorological forcing conditions (inputs) or flood events (outputs) are…

机器学习 · 统计学 2021-11-04 A. F. López-Lopera , D. Idier , J. Rohmer , F. Bachoc

This paper proposes using a sparse-structured multivariate Gaussian to provide a closed-form approximator for the output of probabilistic ensemble models used for dense image prediction tasks. This is achieved through a convolutional neural…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Ivor J. A. Simpson , Sara Vicente , Neill D. F. Campbell

Stochastic gradient methods enable learning probabilistic models from large amounts of data. While large step-sizes (learning rates) have shown to be best for least-squares (e.g., Gaussian noise) once combined with parameter averaging,…

机器学习 · 统计学 2018-11-22 Dmitry Babichev , Francis Bach

We consider the problem of jointly estimating multiple related zero-mean Gaussian distributions from data. We propose to jointly estimate these covariance matrices using Laplacian regularized stratified model fitting, which includes loss…

机器学习 · 统计学 2020-05-25 Jonathan Tuck , Stephen Boyd

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

统计方法学 · 统计学 2024-12-02 Lucas Kock , Nadja Klein

Conformal Prediction offers a powerful framework for quantifying uncertainty in machine learning models, enabling the construction of prediction sets with finite-sample validity guarantees. While easily adaptable to non-probabilistic…

机器学习 · 统计学 2024-11-27 Eshant English , Christoph Lippert

Machine learning (ML) has shown significant promise in studying complex geophysical dynamical systems, including turbulence and climate processes. Such systems often display sensitive dependence on initial conditions, reflected in positive…

大气与海洋物理 · 物理学 2025-12-09 Zhewen Hou , Jiajin Sun , Subashree Venkatasubramanian , Peter Jin , Shuolin Li , Tian Zheng

Statistical models are an essential tool to model, forecast and understand the hydrological processes in watersheds. In particular, the understanding of time lags associated with the delay between rainfall occurrence and subsequent changes…

Many post-processing methods improve forecasts at individual locations but remove their correlation structure, which is crucial for predicting larger-scale events like total precipitation amount over areas such as river catchments that are…

统计方法学 · 统计学 2024-08-13 Peter Schaumann , Martin Rempel , Ulrich Blahak , Volker Schmidt

Quantifying the impacts of anthropogenic global warming requires accurate Earth system model (ESM) simulations. Statistical bias correction and downscaling can be applied to reduce errors and increase the resolution of ESMs. However,…

地球物理 · 物理学 2024-06-24 Philipp Hess , Niklas Boers