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Many modern algorithms for inverse problems and data assimilation rely on ensemble Kalman updates to blend prior predictions with observed data. Ensemble Kalman methods often perform well with a small ensemble size, which is essential in…

机器学习 · 统计学 2024-01-05 Omar Al Ghattas , Daniel Sanz-Alonso

For oceanographic applications, probabilistic forecasts typically have to deal with i) high-dimensional complex models, and ii) very sparse spatial observations. In search-and-rescue operations at sea, for instance, the short-term…

应用统计 · 统计学 2023-02-15 Florian Beiser , Håvard Heitlo Holm , Jo Eidsvik

For estimation and predictions of random fields it is increasingly acknowledged that the kriging variance may be a poor representative of true uncertainty. Experimental designs based on more elaborate criteria that are appropriate for…

统计方法学 · 统计学 2013-05-15 Werner G. Müller , Luc Pronzato , Joao Rendas , Helmut Waldl

One of the most common, but at the same time expensive operations in linear algebra, is multiplying two matrices $A$ and $B$. With the rapid development of machine learning and increases in data volume, performing fast matrix intensive…

信息论 · 计算机科学 2020-11-20 Neophytos Charalambides , Mert Pilanci , Alfred Hero

Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system together with a model for the system's time evolution. Rather than solving the…

数据分析、统计与概率 · 物理学 2007-05-23 Brian R. Hunt , Eric J. Kostelich , Istvan Szunyogh

Data assimilation (DA) enables hydrologic models to update their internal states using near-real-time observations for more accurate forecasts. With deep neural networks like long short-term memory (LSTM), using either lagged observations…

流体动力学 · 物理学 2025-02-25 Amirmoez Jamaat , Yalan Song , Farshid Rahmani , Jiangtao Liu , Kathryn Lawson , Chaopeng Shen

This study presents an efficient incremental/decremental approach for big streams based on Kernel Ridge Regression (KRR), a frequently used data analysis in cloud centers. To avoid reanalyzing the whole dataset whenever sensors receive new…

机器学习 · 计算机科学 2017-11-10 Bo-Wei Chen , Nik Nailah Binti Abdullah , Sangoh Park

Modern data assimilation schemes typically use the same discrete dynamical model to evolve the state estimate in time also to approximate the evolution, or propagation, of the estimation error covariance. Ensemble-based methods, such as the…

偏微分方程分析 · 数学 2025-08-25 Shay Gilpin

A novel single-frame quaternion estimator processing two vector observations is introduced. The singular cases are examined, and appropriate rotational solutions are provided. Additionally, an alternative method involving sequential…

统计方法学 · 统计学 2024-05-07 Caitong Peng , Daniel Choukroun

In the quantum optimisation setting, we build on a scheme introduced by Young et al [PRA 88, 062314, 2013], where physical qubits in multiple copies of a problem encoded into an Ising spin Hamiltonian are linked together to increase the…

量子物理 · 物理学 2023-07-25 Jemma Bennett , Adam Callison , Tom O'Leary , Mia West , Nicholas Chancellor , Viv Kendon

We propose a novel framework for fitting additive quantile regression models, which provides well calibrated inference about the conditional quantiles and fast automatic estimation of the smoothing parameters, for model structures as…

统计方法学 · 统计学 2020-03-13 M. Fasiolo , S. N. Wood , M. Zaffran , R. Nedellec , Y. Goude

Modern deep neural networks can produce badly calibrated predictions, especially when train and test distributions are mismatched. Training an ensemble of models and averaging their predictions can help alleviate these issues. We propose a…

机器学习 · 计算机科学 2020-07-09 Asa Cooper Stickland , Iain Murray

When machine learning systems meet real world applications, accuracy is only one of several requirements. In this paper, we assay a complementary perspective originating from the increasing availability of pre-trained and regularly…

The merits of the modelling philosophy of Box \& Jenkins (1970) are illustrated with a summary of our recent work on seasonal river flow forecasting. Specifically, this work demonstrates that the principle of parsimony, which has been…

应用统计 · 统计学 2016-11-08 A. Ian McLeod

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

Recently, the cyclic association rules have been introduced in order to discover rules from items characterized by their regular variation over time. In real life situations, temporal databases are often appended or updated. Rescanning the…

数据库 · 计算机科学 2015-06-01 Eya ben Ahmed , Mohamed Salah Gouider

We develop new methods to integrate experimental and observational data in causal inference. While randomized controlled trials offer strong internal validity, they are often costly and therefore limited in sample size. Observational data,…

计量经济学 · 经济学 2025-11-04 Xuelin Yang , Licong Lin , Susan Athey , Michael I. Jordan , Guido W. Imbens

We propose EAGLE update rule, a novel optimization method that accelerates loss convergence during the early stages of training by leveraging both current and previous step parameter and gradient values. The update algorithm estimates…

机器学习 · 计算机科学 2025-02-04 Takumi Fujimoto , Hiroaki Nishi

We consider performing simulation experiments in the presence of covariates. Here, covariates refer to some input information other than system designs to the simulation model that can also affect the system performance. To make decisions,…

统计方法学 · 统计学 2022-11-28 Cheng Li , Siyang Gao , Jianzhong Du

Data assimilation is often viewed as a framework for correcting short-term error growth in dynamical climate model forecasts. When viewed on the time scales of climate however, these short-term corrections, or analysis increments, can…

大气与海洋物理 · 物理学 2023-10-02 William Gregory , Mitchell Bushuk , Alistair Adcroft , Yongfei Zhang , Laure Zanna