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We show how the expectation-maximization (EM) algorithm can be applied exactly for the fitting of mixtures of general multivariate skew t (MST) distributions, eliminating the need for computationally expensive Monte Carlo estimation. Finite…

统计方法学 · 统计学 2012-09-06 S. X. Lee , G. J. McLachlan

The immense computational cost of traditional numerical weather and climate models has sparked the development of machine learning (ML) based emulators. Because ML methods benefit from long records of training data, it is common to use…

机器学习 · 计算机科学 2023-09-25 Timothy A. Smith , Stephen G. Penny , Jason A. Platt , Tse-Chun Chen

We introduce an interpretable-by-design method, optimized model-analog, that integrates deep learning with model-analog forecasting which generates forecasts from similar initial climate states in a repository of model simulations. This…

大气与海洋物理 · 物理学 2024-10-10 Kinya Toride , Matthew Newman , Andrew Hoell , Antonietta Capotondi , Jakob Schlör , Dillon J. Amaya

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

大气与海洋物理 · 物理学 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

Forecasts by the European Centre for Medium-Range Weather Forecasts (ECMWF; EC for short) can provide a basis for the establishment of maritime-disaster warning systems, but they contain some systematic biases.The fifth-generation EC…

大气与海洋物理 · 物理学 2023-01-04 Wei Zhang , Yueyue Jiang , Junyu Dong , Xiaojiang Song , Renbo Pang , Boyu Guoan , Hui Yu

Accurate forecasts of macroeconomic and financial data, such as GDP, CPI, unemployment rates, and stock indices, are crucial for the success of countries, businesses, and investors, resulting in a constant demand for reliable forecasting…

统计方法学 · 统计学 2025-10-27 Tomasz M. Łapiński , Krzysztof Ziółkowski

Long-range ensemble forecasts are typically verified as anomalies with respect to a lead-time dependent climatological mean to remove the influence of systematic biases. However, common methods for calculating anomalies result in…

大气与海洋物理 · 物理学 2025-06-11 Christopher D. Roberts , Martin Leutbecher

Loss reserving generally focuses on identifying a single model that can generate superior predictive performance. However, different loss reserving models specialise in capturing different aspects of loss data. This is recognised in…

统计方法学 · 统计学 2024-06-04 Benjamin Avanzi , Yanfeng Li , Bernard Wong , Alan Xian

Energy-Based Models (EBMs) present a flexible and appealing way to represent uncertainty. Despite recent advances, training EBMs on high-dimensional data remains a challenging problem as the state-of-the-art approaches are costly, unstable,…

机器学习 · 计算机科学 2021-06-08 Will Grathwohl , Jacob Kelly , Milad Hashemi , Mohammad Norouzi , Kevin Swersky , David Duvenaud

Motivated by applications to 3D printing, this paper presents two algorithms for calculating an ensemble of solutions to heat conduction problems. The ensemble average is the most likely temperature distribution and its variance gives an…

数值分析 · 数学 2017-08-04 Joseph A. Fiordilino

The enhanced Gaussian noise (EGN) model, which accounts for inter-channel stimulated Raman scattering (ISRS), has been extensively utilized for evaluating nonlinear interference (NLI) within the C+L band. Compared to closed-form expressions…

信号处理 · 电气工程与系统科学 2025-09-03 Ruiyang Xia , Guanjun Gao , Zanshan Zhao , Haoyu Wang , Kun Wen , Daobin Wang

Multimodel ensembling has been widely used to improve climate model predictions, and the improvement strongly depends on the ensembling scheme. In this work, we propose a Bayesian neural network (BNN) ensembling method, which combines…

大气与海洋物理 · 物理学 2022-08-10 Ming Fan , Dan Lu , Deeksha Rastogi , Eric M. Pierce

Accurate dynamic modeling of power systems is essential to assess the stability of electrical power systems when faced with disturbances, which can trigger cascading failures leading to blackouts. A continuum model proves to be effective in…

系统与控制 · 电气工程与系统科学 2023-11-22 Somayeh Yarahmadi , Daniel Adrian Maldonado , Lamine Mili , Junbo Zhao , Mihai Anitescu

Time Series Forecasting (TSF) is a widely researched topic with broad applications in weather forecasting, traffic control, and stock price prediction. Extreme values in time series often significantly impact human and natural systems, but…

机器学习 · 计算机科学 2023-10-12 Jincheng Wang , Yue Gao

Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential…

社会与信息网络 · 计算机科学 2025-02-05 Angelo Mele

The gaussian spread regression model for the calibration of site specific ensemble temperature forecasts depends on the apparently restrictive assumption that the uncertainty around temperature forecasts is normally distributed. We…

大气与海洋物理 · 物理学 2007-05-23 Stephen Jewson

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

机器学习 · 计算机科学 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

Power systems face increasing challenges in maintaining resource adequacy due to lower operating margins, rising renewable energy uncertainty, and demand variability. Forecasting the probability distribution of peak demand on shorter…

系统与控制 · 电气工程与系统科学 2025-10-28 Buyi Yu , Wenyuan Tang

Differences between time-averaged and ensemble-averaged wind are studied for the case of changing wind direction. We consider a flow driven by a temporally turning pressure gradient in both an idealized case of a staggered cube array and a…

流体动力学 · 物理学 2025-05-16 Jukka-Pekka Keskinen , Antti Hellsten