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High-dimensional compositional data arise naturally in many applications such as metagenomic data analysis. The observed data lie in a high-dimensional simplex, and conventional statistical methods often fail to produce sensible results due…

统计方法学 · 统计学 2016-01-19 Yuanpei Cao , Wei Lin , Hongzhe Li

A common task in Earth Sciences is to infer climate information at local and regional scales from global climate models. Dynamical downscaling requires running expensive numerical models at high resolution which can be prohibitive due to…

机器学习 · 计算机科学 2022-05-19 Carlos Alberto Gomez Gonzalez

In meteorology, engineering and computer sciences, data assimilation is routinely employed as the optimal way to combine noisy observations with prior model information for obtaining better estimates of a state, and thus better forecasts,…

地球物理 · 物理学 2009-08-12 M. J. Werner , K. Ide , D. Sornette

Dirichlet regression models are suitable for compositional data, in which the response variable represents proportions that sum to one. However, there are still no well-established methods for constructing valid prediction sets in this…

Climate change is intensifying rainfall extremes, making high-resolution precipitation projections crucial for society to better prepare for impacts such as flooding. However, current Global Climate Models (GCMs) operate at spatial…

机器学习 · 计算机科学 2024-12-20 Ran Lyu , Linhan Wang , Yanshen Sun , Hedanqiu Bai , Chang-Tien Lu

Variational data assimilation is a technique for combining measured data with dynamical models. It is a key component of Earth system state estimation and is commonly used in weather and ocean forecasting. The approach involves a…

Compositional data, representing proportions constrained to the simplex, arise in diverse fields such as geosciences, ecology, genomics, and microbiome research. Existing nonparametric density estimation methods often rely on…

统计方法学 · 统计学 2025-10-10 Jiajin Xie , Yong Wang , Eduardo García-Portugués

Downscaling is a landmark task in climate science and meteorology in which the goal is to use coarse scale, spatio-temporal data to infer values at finer scales. Statistical downscaling aims to approximate this task using statistical…

计算机视觉与模式识别 · 计算机科学 2020-08-12 Brian Groenke , Luke Madaus , Claire Monteleoni

We introduce a novel approach to compositional data analysis based on $L^{\infty}$-normalization, addressing challenges posed by zero-rich high-throughput data. Traditional methods like Aitchison's transformations require excluding zeros,…

统计计算 · 统计学 2025-03-28 Pawel Gajer , Jacques Ravel

Compositional observations are an increasingly prevalent data source in spatial statistics. Analysis of such data is typically done on log-ratio transformations or via Dirichlet regression. However, these approaches often make unnecessarily…

统计方法学 · 统计学 2025-05-27 Michael R. Schwob , Mevin B. Hooten , Nicholas M. Calzada , Timothy H. Keitt

We put forward a new Bayesian modeling strategy for spatiotemporal count data that enables efficient posterior sampling. Most previous models for such data decompose logarithms of the response Poisson rates into fixed effects and spatial…

统计方法学 · 统计学 2025-07-29 Yifan Cheng , Cheng Li

State-of-the-art machine learning methods exhibit limited compositional generalization. At the same time, there is a lack of realistic benchmarks that comprehensively measure this ability, which makes it challenging to find and evaluate…

This paper introduces a novel method for characterizing fracture mechanisms in composite materials using 3D image data gained by computed tomography (CT) measurements. In mineral liberation, the understanding of these mechanisms is crucial,…

材料科学 · 物理学 2024-02-13 Thomas Wilhelm , Trang Thu Võ , Orkun Furat , Urs A. Peuker , Volker Schmidt

We discuss an efficient implementation of the iterative proportional scaling procedure in the multivariate Gaussian graphical models. We show that the computational cost can be reduced by localization of the update procedure in each…

统计计算 · 统计学 2010-07-22 Hisayuki Hara , Akimichi Takemura

Accurately representing surface weather at the sub-kilometer scale is crucial for optimal decision-making in a wide range of applications. This motivates the use of statistical techniques to provide accurate and calibrated probabilistic…

大气与海洋物理 · 物理学 2024-11-15 Francesco Zanetta , Daniele Nerini , Matteo Buzzi , Henry Moss

We introduce a universal diffusion-based downscaling framework that lifts deterministic low-resolution weather forecasts into probabilistic high-resolution predictions without any model-specific fine-tuning. A single conditional diffusion…

We propose a new, efficient multi-scale method to decompose a map (or signal in general) into components maps that contain structures of different sizes. In the widely-used wave transform, artifacts containing negative values arise around…

天体物理仪器与方法 · 物理学 2022-04-11 Guang-Xing Li

EASAL (efficient atlasing and sampling of assembly landscapes) is a recently reported geometric method for representing, visualizing, sampling and computing integrals over the potential energy landscape tailored for small molecular…

化学物理 · 物理学 2014-09-04 Aysegul Ozkan , Meera Sitharam

Recent breakthroughs in text-guided image generation have significantly advanced the field of 3D generation. While generating a single high-quality 3D object is now feasible, generating multiple objects with reasonable interactions within a…

计算机视觉与模式识别 · 计算机科学 2024-10-29 Chongjian Ge , Chenfeng Xu , Yuanfeng Ji , Chensheng Peng , Masayoshi Tomizuka , Ping Luo , Mingyu Ding , Varun Jampani , Wei Zhan

Physics-based climate projections using general circulation models are essential for assessing future risks, but their coarse resolution limits regional decision-making. Statistical downscaling can efficiently add detail, yet many methods…

大气与海洋物理 · 物理学 2026-05-13 Takuro Kutsuna , Noriko N. Ishizaki , Norihiro Oyama , Hiroaki Yoshida