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Parameter estimation and uncertainty quantification are crucial in computational cardiology, as they enable the construction of digital twins that faithfully replicate the behavior of physical patients. Robust and efficient mathematical…

数值分析 · 数学 2022-10-07 Matteo Salvador , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

Mathematical models are vital interpretive and predictive tools used to assist in the understanding of cell migration. There are typically two approaches to modelling cell migration: either micro-scale, discrete or macro-scale, continuum.…

细胞行为 · 定量生物学 2018-08-16 Enrico Gavagnin , Christian A. Yates

Geochemical processes in subsurface reservoirs affected by microbial activity change the material properties of porous media. This is a complex biogeochemical process in subsurface reservoirs that currently contains strong conceptual…

Learning controller parameters from closed-loop data has been shown to improve closed-loop performance. Bayesian optimization, a widely used black-box and sample-efficient learning method, constructs a probabilistic surrogate of the…

机器学习 · 计算机科学 2025-12-15 Sebastian Hirt , Valentinus Suwanto , Hendrik Alsmeier , Maik Pfefferkorn , Rolf Findeisen

As the frontiers of applied statistics progress through increasingly complex experiments we must exploit increasingly sophisticated inferential models to analyze the observations we make. In order to avoid misleading or outright erroneous…

统计方法学 · 统计学 2018-03-23 Michael Betancourt

Understanding the oscillating behaviors that govern organisms' internal biological processes requires interdisciplinary efforts combining both biological and computer experiments, as the latter can complement the former by simulating…

应用统计 · 统计学 2024-12-17 Youngdeok Hwang , Hang J. Kim , Won Chang , Christian Hong , Steven N. MacEachern

Bayesian Optimization is a popular tool for tuning algorithms in automatic machine learning (AutoML) systems. Current state-of-the-art methods leverage Random Forests or Gaussian processes to build a surrogate model that predicts algorithm…

机器学习 · 计算机科学 2021-01-08 Jeroen van Hoof , Joaquin Vanschoren

In modern science, computer models are often used to understand complex phenomena, and a thriving statistical community has grown around analyzing them. This review aims to bring a spotlight to the growing prevalence of stochastic computer…

Recently, combinations of generative and Bayesian machine learning have been introduced in particle physics for both fast detector simulation and inference tasks. These neural networks aim to quantify the uncertainty on the generated…

机器学习 · 计算机科学 2024-11-21 Sebastian Bieringer , Sascha Diefenbacher , Gregor Kasieczka , Mathias Trabs

Identification of model parameters in computer simulations is an important topic in computer experiments. We propose a new method, called the projected kernel calibration method, to estimate these model parameters. The proposed method is…

统计方法学 · 统计学 2017-05-10 Rui Tuo

In this paper we refine the process of computing calibration functions for a number of multiclass classification surrogate losses. Calibration functions are a powerful tool for easily converting bounds for the surrogate risk (which can be…

机器学习 · 统计学 2016-09-22 Bernardo Ávila Pires , Csaba Szepesvári

In this work, a novel approach to Bayesian model calibration routines is developed which reinterprets the traditional definition of model discrepancy as defined by Kennedy and O'Hagan (KOH). The novelty lies in the integration of…

统计方法学 · 统计学 2026-03-13 Liam Myhill , Enrique Martinez Saez , Sez Russcher

Cell migration is essential for regulating many biological processes in physiological or pathological conditions, including embryonic development and cancer invasion. In vitro and in silico studies suggest that collective cell migration is…

In numerous applications, surrogate models are used as a replacement for accurate parameter-to-observable mappings when solving large-scale inverse problems governed by partial differential equations (PDEs). The surrogate model may be a…

最优化与控制 · 数学 2025-12-08 Ruanui Nicholson , Radoslav Vuchkov , Umberto Villa , Noemi Petra

A common approach to assess the performance of fire insulation panels is the component additive method (CAM). The parameters of the CAM are based on the temperature-dependent thermal material properties of the panels. These material…

应用统计 · 统计学 2020-01-08 P. -R. Wagner , R. Fahrni , M. Klippel , A. Frangi , B. Sudret

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…

等离子体物理 · 物理学 2025-10-16 G. Kane , P. Drobniak , S. Kazamias , V. Kubytskyi , M. Lenivenko , B. Lucas , J. Serhal , K. Cassou , A. Beck , A. Specka , F. Massimo

Taking agent-based models (ABM) closer to the data is an open challenge. This paper explicitly tackles parameter space exploration and calibration of ABMs combining supervised machine-learning and intelligent sampling to build a surrogate…

经济学 · 定量金融 2017-04-07 Francesco Lamperti , Andrea Roventini , Amir Sani

The computational efficiency of approximate Bayesian computation (ABC) has been improved by using surrogate models such as Gaussian processes (GP). In one such promising framework the discrepancy between the simulated and observed data is…

机器学习 · 统计学 2020-08-07 Marko Järvenpää , Aki Vehtari , Pekka Marttinen

Phylogenetics has seen an steady increase in substitution model complexity, which requires increasing amounts of computational power to compute likelihoods. This model complexity motivates strategies to approximate the likelihood functions…

种群与进化 · 定量生物学 2017-06-05 Brian C. Claywell , Vu C. Dinh , Connor O. McCoy , Frederick A. Matsen

We focus on improving the accuracy of an approximate model of a multiscale dynamical system that uses a set of parameter-dependent terms to account for the effects of unresolved or neglected dynamics on resolved scales. We start by…

计算物理 · 物理学 2019-06-26 Balasubramanya T. Nadiga , Chiyu Jiang , Daniel Livescu