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In this paper we present a data driven approach for approximating dynamical systems. A dynamics is approximated using basis functions, which are derived from maximization of the information-theoretic entropy, and can be generated directly…

动力系统 · 数学 2019-11-11 Vedang M. Deshpande , Raktim Bhattacharya

Building design optimization often depends on physics-based simulation tools such as EnergyPlus, which, although accurate, are computationally expensive and slow. Surrogate models provide a faster alternative, yet most are…

机器学习 · 计算机科学 2026-03-13 Piragash Manmatharasan , Girma Bitsuamlak , Katarina Grolinger

The task of state estimation in active distribution systems faces a major challenge due to the integration of different measurements with multiple reporting rates. As a result, distribution systems are essentially unobservable in real time,…

最优化与控制 · 数学 2024-05-13 J. G. De la Varga , S. Pineda , J. M. Morales , Á. Porras

Finding the optimal design of experiments in the Bayesian setting typically requires estimation and optimization of the expected information gain functional. This functional consists of one outer and one inner integral, separated by the…

数值分析 · 数学 2024-11-26 Arved Bartuska , Luis Espath , Raúl Tempone

Exploring the intersection of deterministic and stochastic dynamics, this paper delves into Lagrangian discovery for conservative and non-conservative systems under stochastic excitation. Traditional Lagrangian frameworks, adept at…

动力系统 · 数学 2024-02-28 Tapas Tripura , Satyam Panda , Budhaditya Hazra , Souvik Chakraborty

Gaussian process surrogates are a popular alternative to directly using computationally expensive simulation models. When the simulation output consists of many responses, dimension-reduction techniques are often employed to construct these…

统计方法学 · 统计学 2023-05-04 Moses Y-H. Chan , Matthew Plumlee , Stefan M. Wild

This paper explores the relationship between numerical integrators and optimal control algorithms. Specifically, the performance of the differential dynamical programming (DDP) algorithm is examined when a variational integrator and a newly…

最优化与控制 · 数学 2017-09-13 Gerardo De La Torre , Todd Murphey

Coastal communities face significant risk from storm-induced coastal flooding, which causes substantial societal and economic losses worldwide. Machine learning techniques have increasingly been integrated into coastal hazard modeling,…

大气与海洋物理 · 物理学 2025-12-19 Ziyue Liu , Mohammad Ahmadi Gharehtoragh , Brenna Kari Losch , David R. Johnson

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

Numerical simulations are a valuable research and layout tool for fluid flow problems, yet repeated evaluations of parametrized problems, necessary to solve optimization problems, can be very costly. One option to speed up this process is…

流体动力学 · 物理学 2025-02-28 Marian Staggl , Wolfgang Sanz , Paul Pieringer

For stochastic process models, parameter inference is often severely bottlenecked by computationally expensive likelihood functions. Simulation-based inference (SBI) bypasses this restriction by constructing amortized surrogate likelihoods,…

机器学习 · 统计学 2026-05-26 Alexander Shen , Mikael Kuusela

We tackle the problem of quantifying failure probabilities for expensive deterministic computer experiments with stochastic inputs under a fixed budget. The computational cost of the computer simulation prohibits direct Monte Carlo (MC) and…

统计方法学 · 统计学 2025-07-08 Annie S. Booth , S. Ashwin Renganathan

A computationally efficient model is introduced to account for the sub-grid scale velocities of tracer particles dispersed in statistically homogeneous and isotropic turbulent flows. The model embeds the multi-scale nature of turbulent…

流体动力学 · 物理学 2015-06-18 I. M. Mazzitelli , F. Toschi , A. S. Lanotte

Evolutionary Strategies (ES) are known to be an effective black-box optimization technique for deep neural networks when the true gradients cannot be computed, such as in Reinforcement Learning. We continue a recent line of research that…

神经与进化计算 · 计算机科学 2019-10-14 Florian Meier , Asier Mujika , Marcelo Matheus Gauy , Angelika Steger

This work presents a data-driven method for learning low-dimensional time-dependent physics-based surrogate models whose predictions are endowed with uncertainty estimates. We use the operator inference approach to model reduction that…

数值分析 · 数学 2025-03-19 Shane A. McQuarrie , Anirban Chaudhuri , Karen E. Willcox , Mengwu Guo

Identification of causal effects is one of the most fundamental tasks of causal inference. We consider an identifiability problem where some experimental and observational data are available but neither data alone is sufficient for the…

人工智能 · 计算机科学 2019-03-13 Santtu Tikka , Juha Karvanen

We assess the influence of different Eulerian geophysical input fields on Lagrangian drift simulations using DriftNet, a learning-based method designed to simulate Lagrangian drift on the sea surface. Two experiments are conducted: a fully…

大气与海洋物理 · 物理学 2026-04-07 Daria Botvynko , Carlos Granero-Belinchon , Simon Van Gennip , Abdesslam Benzinou , Ronan Fablet

In this study, we develop an innovative data-driven optimization approach to solve the drone delivery service planning problem with online demand. Drone-based logistics are expected to improve operations by enhancing flexibility and…

最优化与控制 · 数学 2024-04-04 Aditya Paul , Michael W. Levin , S. Travis Waller , David Rey

In many real-world scenarios, we often deal with streaming data that is sequentially collected over time. Due to the non-stationary nature of the environment, the streaming data distribution may change in unpredictable ways, which is known…

机器学习 · 计算机科学 2022-06-07 Wendi Li , Xiao Yang , Weiqing Liu , Yingce Xia , Jiang Bian

Multifidelity surrogate modelling combines data of varying accuracy and cost from different sources. It strategically uses low-fidelity models for rapid evaluations, saving computational resources, and high-fidelity models for detailed…

机器学习 · 计算机科学 2024-04-24 Daniel N Wilke