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Sensitivity analysis is routinely performed on simplified surrogate models as the cost of such analysis on the original model may be prohibitive. Little is known in general about the induced bias on the sensitivity results. Within the…

数值分析 · 数学 2020-03-18 Michael Merritt , Alen Alexanderian , Pierre A. Gremaud

The present paper proposes a Bayesian framework for inverse problems that seamlessly integrates optimization and inversion to enable rapid surrogate modeling, accurate parameter inference, and rigorous uncertainty quantification. Bayesian…

计算工程、金融与科学 · 计算机科学 2026-02-05 Mihaela Chiappetta , Massimo Carraturo , Alexander Raßloff , Markus Kästner , Ferdinando Auricchio

Numerical simulations are crucial for modeling complex systems, but calibrating them becomes challenging when data are noisy or incomplete and likelihood evaluations are computationally expensive. Bayesian calibration offers an interesting…

统计方法学 · 统计学 2025-06-17 Guillaume Perrin , Romain Jorge Do Marco , Christian Soize , Christine Funfschilling

Joint models of longitudinal and event-time data have been extensively studied and applied in many different fields. Estimation of joint models is challenging, most present procedures are computational expensive and have a strict…

统计方法学 · 统计学 2018-09-05 Yanqiao Zheng , Xiaobing Zhao , Xiaoqi Zhang

Multi-agent simulations enables the modeling and analyses of the dynamic behaviors and interactions of autonomous entities evolving in complex environments. Agent-based models (ABM) are widely used to study emergent phenomena arising from…

机器学习 · 计算机科学 2025-05-20 Paul Saves , Nicolas Verstaevel , Benoît Gaudou

Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of current deterministic computational models are usually…

应用统计 · 统计学 2024-10-15 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

Surrogates in lieu of expensive-to-evaluate performance functions can accelerate the reliability analysis greatly. This paper proposes a new two-stage framework for surrogate-aided reliability analysis named Surrogates for Importance…

其他统计学 · 统计学 2020-01-29 Wang-Sheng Liu , Sai Hung Cheung , Wen-Jun Cao

Continuous high frequency water quality monitoring is becoming a critical task to support water management. Despite the advancements in sensor technologies, certain variables cannot be easily and/or economically monitored in-situ and in…

机器学习 · 计算机科学 2020-01-28 María Castrillo , Álvaro López García

Decision support systems often rely on solving complex optimization problems that may require to estimate uncertain parameters beforehand. Recent studies have shown how using traditionally trained estimators for this task can lead to…

机器学习 · 计算机科学 2025-12-19 Gaetano Signorelli , Michele Lombardi

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

应用统计 · 统计学 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications. It provides both a mean predictor and an…

Neural network surrogate models have emerged as a promising approach to model solution fields for a wide variety of boundary value problems encountered in physical modeling. Stochastic problems represent an area of particularly high…

机器学习 · 统计学 2026-05-18 Noah Wade , Kirubel Teferra

We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is…

数值分析 · 数学 2020-08-11 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

Many modern applications seek to understand the relationship between an outcome variable $Y$ and a covariate $X$ in the presence of a (possibly high-dimensional) confounding variable $Z$. Although much attention has been paid to testing…

统计方法学 · 统计学 2022-09-13 Lu Zhang , Lucas Janson

The embedded ensemble propagation approach introduced in [49] has been demonstrated to be a powerful means of reducing the computational cost of sampling-based uncertainty quantification methods, particularly on emerging computational…

统计计算 · 统计学 2017-05-08 Marta D'Elia , Eric Phipps , Ahmad Rushdi , Mohamed Ebeida

Modern data-driven surrogate models for weather forecasting provide accurate short-term predictions but inaccurate and nonphysical long-term forecasts. This paper investigates online weather prediction using machine learning surrogates…

信号处理 · 电气工程与系统科学 2025-02-12 Melissa Adrian , Daniel Sanz-Alonso , Rebecca Willett

Computational fluid dynamics (CFD) simulations, a critical tool in various engineering applications, often require significant time and compute power to predict flow properties. The high computational cost associated with CFD simulations…

机器学习 · 计算机科学 2022-05-18 Tongtao Zhang , Biswadip Dey , Krishna Veeraraghavan , Harshad Kulkarni , Amit Chakraborty

Computational models provide crucial insights into complex biological processes such as cancer evolution, but their mechanistic nature often makes them nonlinear and parameter-rich, complicating calibration. We systematically evaluate…

偏微分方程分析 · 数学 2025-09-24 Christina Schenk , Jacobo Ayensa Jiménez , Ignacio Romero

This paper aims to understand whether machine learning models should be trained using cost-sensitive surrogates or cost-agnostic ones (e.g., cross-entropy). Analyzing this question through the lens of $\mathcal{H}$-calibration, we find that…

机器学习 · 计算机科学 2025-02-28 Sanket Shah , Milind Tambe , Jessie Finocchiaro

In recent years, neural network-based classification has been used to improve data analysis at collider experiments. While this strategy proves to be hugely successful, the underlying models are not commonly shared with the public and rely…

高能物理 - 唯象学 · 物理学 2024-09-30 Sebastian Bieringer , Gregor Kasieczka , Jan Kieseler , Mathias Trabs