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In this paper we combine two powerful computational techniques, well-tempered metadynamics and time lagged independent component analysis. The aim is to develop a new tool for studying rare events and exploring complex free energy…

统计力学 · 物理学 2017-12-08 James McCarty , Michele Parrinello

We formulate an optimization problem to estimate probability densities in the context of multidimensional problems that are sampled with uneven probability. It considers detector sensitivity as an heterogeneous density and takes advantage…

机器学习 · 计算机科学 2025-06-04 Aleix Boquet-Pujadas , Pol del Aguila Pla , Michael Unser

Understanding how the optimal value of an optimisation problem changes when its input data is modified is an old question in mathematical optimisation. This paper investigates the computation of the optimal values of a family of (possibly…

最优化与控制 · 数学 2026-03-02 Guillaume Derval , Damien Ernst , Quentin Louveaux , Bardhyl Miftari

Meta-analysis is a powerful tool to synthesize findings from multiple studies. The normal-normal random-effects model is widely used to account for between-study heterogeneity. However, meta-analysis of sparse data, which may arise when the…

统计方法学 · 统计学 2024-06-10 Taojun Hu , Yi Zhou , Satoshi Hattori

This paper introduces a novel model-free approach to synthesize virtual sensors for the estimation of dynamical quantities that are unmeasurable at runtime but are available for design purposes on test benches. After collecting a dataset of…

最优化与控制 · 数学 2021-03-24 Daniele Masti , Daniele Bernardini , Alberto Bemporad

In multi-objective design tasks, the computational cost increases rapidly when high-fidelity simulations are used to evaluate objective functions. Surrogate models help mitigate this cost by approximating the simulation output, simplifying…

应用统计 · 统计学 2025-06-03 Omer F. Erdem , David P. Broughton , Josef Svoboda , Chengkun Huang , Majdi I. Radaideh

Efficient surrogate modelling is a key requirement for uncertainty quantification in data-driven scenarios. In this work, a novel approach of using Sparse Random Features for surrogate modelling in combination with self-supervised…

机器学习 · 计算机科学 2023-01-02 Maternus Herold , Anna Veselovska , Jonas Jehle , Felix Krahmer

Decision-making in manufacturing often involves optimizing key process parameters using data collected from simulation experiments. Gaussian processes are widely used to surrogate the underlying system and guide optimization. Uncertainty…

应用统计 · 统计学 2025-07-30 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li

Subsampling methods aim to select a subsample as a surrogate for the observed sample. Such methods have been used pervasively in large-scale data analytics, active learning, and privacy-preserving analysis in recent decades. Instead of…

机器学习 · 统计学 2022-06-03 Jingyi Zhang , Cheng Meng , Jun Yu , Mengrui Zhang , Wenxuan Zhong , Ping Ma

The application of learning-based control methods in robotics presents significant challenges. One is that model-free reinforcement learning algorithms use observation data with low sample efficiency. To address this challenge, a prevalent…

机器学习 · 计算机科学 2024-07-19 Andrey Gorodetskiy , Konstantin Mironov , Aleksandr Panov

Simulation offers a simple and flexible way to estimate the power of a clinical trial when analytic formulae are not available. The computational burden of using simulation has, however, restricted its application to only the simplest of…

统计方法学 · 统计学 2020-12-04 Duncan T. Wilson , Rebecca E. A. Walwyn , Richard Hooper , Julia Brown , Amanda J. Farrin

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

机器学习 · 计算机科学 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

Simulation models are an absolute necessity in the human and social sciences, which can only very exceptionally use experimental science methods to construct their knowledge. Models enable the simulation of social processes by replacing the…

计算机与社会 · 计算机科学 2020-01-06 J. Raimbault , D. Pumain

Machine learning classification techniques have been used widely to recognize the feasible design domain and discover hidden patterns in engineering design. An accurate classification model needs a large dataset; however, generating a large…

数据分析、统计与概率 · 物理学 2021-07-13 Xianping Du , Kai Zhang , Onur Bilgen , Laurent Burlion , Hongyi Xu

The global sensitivity analysis method, used to quantify the influence of uncertain input variables on the response variability of a numerical model, is applicable to deterministic computer code (for which the same set of input variables…

统计方法学 · 统计学 2009-06-08 Bertrand Iooss , Mathieu Ribatet , Amandine Marrel

Complex computer codes are often too time expensive to be directly used to perform uncertainty, sensitivity, optimization and robustness analyses. A widely accepted method to circumvent this problem consists in replacing cpu-time expensive…

统计理论 · 数学 2017-04-25 Bertrand Iooss , Amandine Marrel

Learning models of artificial intelligence can nowadays perform very well on a large variety of tasks. However, in practice different task environments are best handled by different learning models, rather than a single, universal,…

人工智能 · 计算机科学 2016-05-31 Adi Makmal , Alexey A. Melnikov , Vedran Dunjko , Hans J. Briegel

The use of remote sensing in humanitarian crisis response missions is well-established and has proven relevant repeatedly. One of the problems is obtaining gold annotations as it is costly and time consuming which makes it almost impossible…

计算机视觉与模式识别 · 计算机科学 2022-02-11 Adrianna Janik , Kris Sankaran

Likelihood-free inference is concerned with the estimation of the parameters of a non-differentiable stochastic simulator that best reproduce real observations. In the absence of a likelihood function, most of the existing inference methods…

机器学习 · 统计学 2019-01-03 Arthur Pesah , Antoine Wehenkel , Gilles Louppe

Structural reliability methods aim at computing the probability of failure of systems with respect to some prescribed performance functions. In modern engineering such functions usually resort to running an expensive-to-evaluate…

统计方法学 · 统计学 2011-05-10 V. Dubourg , F. Deheeger , B. Sudret