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Optimizing complex manufacturing processes often involves a trade-off between data accuracy and acquisition cost. High-fidelity data are accurate but limited, while low-fidelity data are abundant but often biased. Balancing these two…

统计方法学 · 统计学 2026-03-04 Fan Zhang , Qiong Zhang , Madhura Limaye , Dhanashree Shinde , Gang Li , Sai Aditya Pradeep , Srikanth Pilla

In many scientific and engineering domains, physical experiments are often costly, non-replicable, or time-consuming. The Kennedy and O'Hagan (KOH) model framework has become a widely used approach for combining simulator runs with limited…

统计计算 · 统计学 2026-03-18 Hao Zhu , Markus Hainy

We propose a marginal likelihood strategy within the Kennedy-O'Hagan (KOH) Bayesian framework, where a Gaussian process (GP) models the discrepancy between a physical system and its simulator. Our approach introduces a novel marginalized…

量子物理 · 物理学 2025-08-26 Mohammad Motamed , N. Anders Petersson

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

This paper develops a Bayesian network-based method for the calibration of multi-physics models, integrating various sources of uncertainty with information from computational models and experimental data. We adopt the Kennedy and O'Hagan…

数据分析、统计与概率 · 物理学 2012-06-25 You Ling , Joshua Mullins , Sankaran Mahadevan

Gaussian processes are widely used for accurate emulation of unknown surfaces in sequential design of expensive simulation experiments. Integrated mean squared error (IMSE) is an effective acquisition function for sequential designs based…

统计理论 · 数学 2026-04-23 Huanyan Zhu , Cheng Li

The preparation of Hamiltonian eigenstates is essential for many applications in quantum computing; the efficiency with which this can be done is of key interest. A canonical approach exploits the quantum phase estimation (QPE) algorithm.…

量子物理 · 物理学 2022-12-05 Richard Meister , Simon C. Benjamin

The use of Gaussian processes (GPs) is supported by efficient sampling algorithms, a rich methodological literature, and strong theoretical grounding. However, due to their prohibitive computation and storage demands, the use of exact GPs…

统计理论 · 数学 2022-07-27 Kelly R. Moran , Matthew W. Wheeler

Combinatorial optimization is a promising area for achieving quantum speedup. Quantum approximate optimization algorithm (QAOA) is designed to search for low-energy states of the Ising model, which correspond to near-optimal solutions of…

量子物理 · 物理学 2025-10-14 Tatsuhiko Shirai , Nozomu Togawa

Bayesian hyperparameter optimization relies heavily on Gaussian Process (GP) surrogates, due to robust distributional posteriors and strong performance on limited training samples. GPs however underperform in categorical hyperparameter…

机器学习 · 计算机科学 2025-09-23 Riccardo Doyle

The effective Hamiltonian method is a powerful tool for simulating large-scale systems across a wide range of temperatures. However, previous methods for constructing effective Hamiltonian models suffer from key limitations: some require to…

计算物理 · 物理学 2025-05-09 Yang Cheng , Binhua Zhang , Xueyang Li , Hongyu Yu , Changsong Xu , Hongjun Xiang

Hybrid variational quantum algorithms, which combine a classical optimizer with evaluations on a quantum chip, are the most promising candidates to show quantum advantage on current noisy, intermediate-scale quantum (NISQ) devices. The…

量子物理 · 物理学 2022-08-05 Juliane Mueller , Wim Lavrijsen , Costin Iancu , Wibe de Jong

This paper proposes a novel framework for implicit multi-camera system calibration utilizing Gaussian Process (GP) regression. Conventional explicit calibration methods are constrained by rigid mathematical models and struggle with complex,…

计算机视觉与模式识别 · 计算机科学 2026-05-11 Ivan De Boi , Bart Ribbens , Veronika Golanova , Ursula Kapov , Simon Verspeek

Coupled Kerr parametric oscillators (KPOs) are a promising resource for classical and quantum analog computation, for example to find the ground state of Ising Hamiltonians. Yet, the state space of strongly coupled KPO networks is very…

经典物理 · 物理学 2025-11-18 Gabriel Margiani , Orjan Ameye , Oded Zilberberg , Alexander Eichler

This paper proposes a hybrid learning and optimization framework for mobile manipulators for complex and physically interactive tasks. The framework exploits an admittance-type physical interface to obtain intuitive and simplified human…

机器人学 · 计算机科学 2022-08-02 Jianzhuang Zhao , Alberto Giammarino , Edoardo Lamon , Juan M. Gandarias , Elena De Momi , Arash Ajoudani

Investigating uncertainties in computer simulations can be prohibitive in terms of computational costs, since the simulator needs to be run over a large number of input values. Building an emulator, i.e. a statistical surrogate model of the…

统计方法学 · 统计学 2022-10-18 Ayao Ehara , Serge Guillas

We propose a data fusion method based on multi-fidelity Gaussian process regression (GPR) framework. This method combines available data of the quantity of interest (QoI) and its gradients with different fidelity levels, namely, it is a…

计算工程、金融与科学 · 计算机科学 2020-12-30 Yixiang Deng , Guang Lin , Xiu Yang

Both experimental and computational methods for the exploration of structure, functionality, and properties of materials often necessitate the search across broad parameter spaces to discover optimal experimental conditions and regions of…

计算物理 · 物理学 2021-08-31 Maxim Ziatdinov , Ayana Ghosh , Sergei V. Kalinin

Orbital optimization procedure is widely called in electronic structure simulation. To efficiently find the orbital optimization solution, we developed a new second order orbital optimization algorithm, co-iteration augmented Hessian (CIAH)…

化学物理 · 物理学 2017-01-11 Qiming Sun

This study proposes an extension of the high-order compact gas-kinetic scheme (CGKS) to compressible flow simulation in an arbitrary Lagrangian-Eulerian (ALE) formulation in unstructured mesh. The ALE method is achieved by subdividing…

计算物理 · 物理学 2024-01-05 Yue Zhang , Kun Xu
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