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The parameter fit from a model grid is limited by our capability to reduce the number of models, taking into account the number of parameters and the non linear variation of the models with the parameters. The Local MultiLinear Regression…

Astrophysics · Physics 2009-11-13 A. Bijaoui , A. Recio-Blanco , P. de Laverny

In this paper, I show how neural networks can be used to simultaneously estimate all unknown parameters in a spatial point process model from an observed point pattern. The method can be applied to any point process model which it is…

Methodology · Statistics 2022-04-14 Ninna Vihrs

We here consider the subset simulation method which approaches a failure event using a decreasing sequence of nested intermediate failure events. The method resembles importance sampling, which actively explores a probability space by…

Computation · Statistics 2020-03-16 Kenan Šehić , Mirza Karamehmedović

We propose a general framework for machine learning based optimization under uncertainty. Our approach replaces the complex forward model by a surrogate, which is learned simultaneously in a one-shot sense when solving the optimal control…

Optimization and Control · Mathematics 2023-12-25 Philipp A. Guth , Claudia Schillings , Simon Weissmann

Robots performing manipulation tasks must operate under uncertainty about both their pose and the dynamics of the system. In order to remain robust to modeling error and shifts in payload dynamics, agents must simultaneously perform…

Systems and Control · Computer Science 2017-07-31 Patrick Slade , Preston Culbertson , Zachary Sunberg , Mykel Kochenderfer

Purpose: We address the challenge of inaccurate parameter estimation in diffusion MRI when the signal-to-noise ratio (SNR) is very low, as in the spinal cord. The accuracy of conventional maximum-likelihood estimation (MLE) depends highly…

We present the Local Self-Balancing sampler (LSB), a local Markov Chain Monte Carlo (MCMC) method for sampling in purely discrete domains, which is able to autonomously adapt to the target distribution and to reduce the number of target…

Artificial Intelligence · Computer Science 2022-07-06 Emanuele Sansone

Accurate representations of unknown and sub-grid physical processes through parameterizations (or closure) in numerical simulations with quantified uncertainty are critical for resolving the coarse-grained partial differential equations…

Machine Learning · Computer Science 2024-05-08 Yongquan Qu , Mohamed Aziz Bhouri , Pierre Gentine

Mathematical models are essential for understanding and making predictions about systems arising in nature and engineering. Yet, mathematical models are a simplification of true phenomena, thus making predictions subject to uncertainty.…

Numerical Analysis · Mathematics 2023-03-03 Mark Hobbs , Hussein Rappel , Tim Dodwell

Machine learning has emerged as a promising approach for estimating material parameters in solar cells. Traditional methods for parameter extraction often rely on time-consuming numerical simulations that fail to capture the full complexity…

Materials Science · Physics 2025-06-17 Eunchi Kim , Paula Hartnagel , Barbara Urbano , Leonard Christen , Thomas Kirchartz

It has been shown that cooperative coevolution (CC) can effectively deal with large scale optimization problems (LSOPs) through a divide-and-conquer strategy. However, its performance is severely restricted by the current…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Bei Pang , Zhigang Ren , Yongsheng Liang , An Chen

Machine learning (ML) can represent processes unresolved in coarse-resolution Earth system models (ESMs) by learning from high-resolution climate data. Such ML parameterization approaches have been primarily tested in idealized setups where…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Erisa Ismaili , Robert C. Jnglin Wills , Tom Beucler

In lattice quantum field theory studies, parameters defining the lattice theory must be tuned toward criticality to access continuum physics. Commonly used Markov chain Monte Carlo (MCMC) methods suffer from critical slowing down in this…

High Energy Physics - Lattice · Physics 2021-06-04 Gurtej Kanwar

Engineering problems are often characterized by significant uncertainty in their material parameters. A typical example coming from geotechnical engineering is the slope stability problem where the soil's cohesion is modeled as a random…

Numerical Analysis · Mathematics 2021-09-30 Philippe Blondeel , Pieterjan Robbe , Stijn François , Geert Lombaert , Stefan Vandewalle

Estimation in the deformable template model is a big challenge in image analysis. The issue is to estimate an atlas of a population. This atlas contains a template and the corresponding geometrical variability of the observed shapes. The…

Statistics Theory · Mathematics 2013-09-09 Stéphanie Allassonniere , Estelle Kuhn

A new algorithm is developed to tackle the issue of sampling non-Gaussian model parameter posterior probability distributions that arise from solutions to Bayesian inverse problems. The algorithm aims to mitigate some of the hurdles faced…

Machine Learning · Statistics 2019-11-19 Leen Alawieh , Jonathan Goodman , John B. Bell

We propose GNN-Surrogate, a graph neural network-based surrogate model to explore the parameter space of ocean climate simulations. Parameter space exploration is important for domain scientists to understand the influence of input…

Atmospheric and Oceanic Physics · Physics 2022-02-23 Neng Shi , Jiayi Xu , Skylar W. Wurster , Hanqi Guo , Jonathan Woodring , Luke P. Van Roekel , Han-Wei Shen

Inferring parameter distributions of complex industrial systems from noisy time series data requires methods to deal with the uncertainty of the underlying data and the used simulation model. Bayesian inference is well suited for these…

Applications · Statistics 2021-06-18 David N. John , Livia Stohrer , Claudia Schillings , Michael Schick , Vincent Heuveline

Numerical modeling of different structural materials that have highly nonlinear behaviors has always been a challenging problem in engineering disciplines. Experimental data is commonly used to characterize this behavior. This study aims to…

Machine Learning · Computer Science 2020-07-28 Elif Ecem Bas , Denis Aslangil , Mohamed A. Moustafa

Inspired by the feedforward multilayer perceptron (FF-MLP), decision tree (DT) and extreme learning machine (ELM), a new classification model, called the subspace learning machine (SLM), is proposed in this work. SLM first identifies a…

Machine Learning · Computer Science 2022-05-12 Hongyu Fu , Yijing Yang , Vinod K. Mishra , C. -C. Jay Kuo