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AutoML platforms have numerous options for the algorithms to try for each step of the analysis, i.e., different possible algorithms for imputation, transformations, feature selection, and modelling. Finding the optimal combination of…

Machine Learning · Computer Science 2024-01-19 Giorgos Borboudakis , Paulos Charonyktakis , Konstantinos Paraschakis , Ioannis Tsamardinos

Due to computational constraints, running global climate models (GCMs) for many years requires a lower spatial grid resolution (${\gtrsim}50$ km) than is optimal for accurately resolving important physical processes. Such processes are…

This paper develops a novel sequential Monte Carlo (SMC) approach for joint state and parameter estimation that can deal efficiently with abruptly changing parameters which is a common case when tracking maneuvering targets. The approach…

Computation · Statistics 2015-10-12 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

Stochastic parameterisations deployed in models of the Earth system frequently invoke locality assumptions such as Markovianity or spatial locality. This work highlights the impact of such assumptions on predictive performance. Both in…

Dynamical Systems · Mathematics 2025-08-12 Martin T. Brolly

In spatial statistics, fast and accurate parameter estimation, coupled with a reliable means of uncertainty quantification, can be challenging when fitting a spatial process to real-world data because the likelihood function might be slow…

Methodology · Statistics 2024-12-31 Julia Walchessen , Amanda Lenzi , Mikael Kuusela

This work concerns the estimation of multidimensional nonlinear regression models using multilayer perceptrons (MLPs). The main problem with such models is that we need to know the covariance matrix of the noise to get an optimal estimator.…

Statistics Theory · Mathematics 2008-02-22 Joseph Rynkiewicz

When designing new materials, it is often necessary to design a material with specific desired properties. Unfortunately, as new design variables are added, the search space grows exponentially, which makes synthesizing and validating the…

Machine Learning · Computer Science 2025-10-10 Shaan Pakala , Aldair E. Gongora , Brian Giera , Evangelos E. Papalexakis

Subgrid processes in global climate models are represented by parameterizations which are a major source of uncertainties in simulations of climate. In recent years, it has been suggested that machine-learning (ML) parameterizations based…

Atmospheric and Oceanic Physics · Physics 2022-12-27 Peidong Wang , Janni Yuval , Paul A. O'Gorman

The field of simulation optimization (SO) encompasses various methods developed to optimize complex, expensive-to-sample stochastic systems. Established methods include, but are not limited to, ranking-and-selection for finite alternatives…

Machine Learning · Statistics 2025-11-04 Haoting Zhang , Haoxian Chen , Donglin Zhan , Hanyang Zhao , Henry Lam , Wenpin Tang , David Yao , Zeyu Zheng

Numerical N-body simulations are commonly used to explore stability regions around exoplanets, offering insights into the possible existence of satellites and ring systems. This study aims to utilize Machine Learning (ML) techniques to…

Earth and Planetary Astrophysics · Physics 2025-01-22 Tiago F. L. L. Pinheiro , Rafael Sfair , Giovana Ramon

We present an original simulation-based method to estimate likelihood ratios efficiently for general state-space models. Our method relies on a novel use of the conditional Sequential Monte Carlo (cSMC) algorithm introduced in…

Methodology · Statistics 2018-09-10 Sinan Yıldırım , Christophe Andrieu , Arnaud Doucet

Land surface temperature (LST) retrieval from remote sensing data is pivotal for analyzing climate processes and surface energy budgets. However, LST retrieval is an ill-posed inverse problem, which becomes particularly severe when only a…

Atmospheric and Oceanic Physics · Physics 2026-03-18 Tian Xie , Menghui Jiang , Huanfeng Shen , Huifang Li , Chao Zeng , Jun Ma , Guanhao Zhang , Liangpei Zhang

Physical simulations based on partial differential equations typically generate spatial fields results, which are utilized to calculate specific properties of a system for engineering design and optimization. Due to the intensive…

Machine Learning · Computer Science 2022-09-09 Shihong Wang , Xueying Zhang , Yichen Meng , Wei W. Xing

Quantifying the uncertainty in model parameters and output is a critical component in model-driven decision support systems for groundwater management. This paper presents a novel algorithmic approach which fuses Markov Chain Monte Carlo…

Computation · Statistics 2021-05-26 Mikkel B. Lykkegaard , Tim J. Dodwell , David Moxey

This paper concerns the use of sequential Monte Carlo methods (SMC) for smoothing in general state space models. A well-known problem when applying the standard SMC technique in the smoothing mode is that the resampling mechanism introduces…

Statistics Theory · Mathematics 2008-03-06 Jimmy Olsson , Olivier Cappé , Randal Douc , Eric Moulines

Traditionally, the field of computational Bayesian statistics has been divided into two main subfields: variational methods and Markov chain Monte Carlo (MCMC). In recent years, however, several methods have been proposed based on combining…

Computation · Statistics 2017-04-19 Cheng Zhang , Babak Shahbaba , Hongkai Zhao

Due to the well-known computational showstopper of the exact Maximum Likelihood Estimation (MLE) for large geospatial observations, a variety of approximation methods have been proposed in the literature, which usually require tuning…

Methodology · Statistics 2021-06-10 Yiping Hong , Sameh Abdulah , Marc G. Genton , Ying Sun

Predicting a landslide susceptibility map (LSM) is essential for risk recognition and disaster prevention. Despite the successful application of data-driven approaches for LSM prediction, most methods generally apply a single global model…

Machine Learning · Computer Science 2023-08-24 Li Chen , Yulin Ding , Saeid Pirasteh , Han Hu , Qing Zhu , Haowei Zeng , Haojia Yu , Qisen Shang , Yongfei Song

Bayesian Neural Networks (BNNs) provide a promising framework for modeling predictive uncertainty and enhancing out-of-distribution robustness (OOD) by estimating the posterior distribution of network parameters. Stochastic Gradient Markov…

Machine Learning · Computer Science 2025-03-04 Hyunsu Kim , Giung Nam , Chulhee Yun , Hongseok Yang , Juho Lee

Designing a high-quality plasma injector electron source driven by a laser beam relies on numerical parametric studies using particle-in-cell codes. The common input parameters to explore are laser characteristics, plasma species and…