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Bayesian Optimization (BO) for the minimization of expensive functions of continuous variables uses all the knowledge acquired from previous samples (${\boldsymbol x}_i$ and $f({\boldsymbol x}_i)$ values) to build a surrogate model based on…

数值分析 · 数学 2025-05-15 Roberto Battiti , Mauro Brunato

Discovering the low-energy conformations of a molecule is of great interest to computational chemists, with applications in {\em in silico} materials design and drug discovery. In this paper, we propose a variable neighbourhood search…

量子物理 · 物理学 2019-06-25 D. J. J. Marchand , M. Noori , A. Roberts , G. Rosenberg , B. Woods , U. Yildiz , M. Coons , D. Devore , P. Margl

Central to robot exploration and mapping is the task of persistent localization in environmental fields characterized by spatially correlated measurements. This paper presents a Gaussian process localization (GP-Localize) algorithm that, in…

机器人学 · 计算机科学 2014-04-23 Nuo Xu , Kian Hsiang Low , Jie Chen , Keng Kiat Lim , Etkin Baris Ozgul

Despite the recent progress in hyperparameter optimization (HPO), available benchmarks that resemble real-world scenarios consist of a few and very large problem instances that are expensive to solve. This blocks researchers and…

机器学习 · 计算机科学 2019-11-26 Aaron Klein , Zhenwen Dai , Frank Hutter , Neil Lawrence , Javier Gonzalez

To address the challenges of reliability analysis in high-dimensional probability spaces, this paper proposes a new metamodeling method that couples active subspace, heteroscedastic Gaussian process, and active learning. The active subspace…

应用统计 · 统计学 2024-04-11 Jungho Kim , Ziqi Wang , Junho Song

Building upon our earlier work of a martingale approach to global optimization, a powerful stochastic search scheme for the global optimum of cost functions is proposed on the basis of change of measures on the states that evolve as…

统计方法学 · 统计学 2015-12-23 Mamatha Venugopal , Ram Mohan Vasu , Debasish Roy

Parameter calibration is a major challenge in agent-based modelling and simulation (ABMS). As the complexity of agent-based models (ABMs) increase, the number of parameters required to be calibrated grows. This leads to the ABMS equivalent…

机器学习 · 计算机科学 2020-08-28 Rylan Perumal , Terence L van Zyl

Excessive loads near wounds produce pathological scarring and other complications. Presently, stress cannot easily be measured by surgeons in the operating room. Instead, surgeons rely on intuition and experience. Predictive computational…

医学物理 · 物理学 2020-10-07 Casey Stowers , Taeksang Lee , Ilias Bilionis , Arun Gosain , Adrian Buganza Tepole

In this article the most fundamental decomposition-based optimization method - block coordinate search, based on the sequential decomposition of problems in subproblems - and building performance simulation programs are used to reason about…

最优化与控制 · 数学 2016-09-12 Gian Luca Brunetti

Structure and function in nanoscale atomistic assemblies are tightly coupled, and every atom with its specific position and even every electron will have a decisive effect on the electronic structure, and hence, on the molecular properties.…

化学物理 · 物理学 2024-02-21 Katja-Sophia Csizi , Markus Reiher

In this paper we describe NPSA, the first parallel nonparametric global maximum likelihood optimization algorithm using simulated annealing (SA). Unlike the nonparametric adaptive grid search method NPAG, which is not guaranteed to find a…

Recent studies have empirically investigated different methods to train stochastic neural networks on a classification task by optimising a PAC-Bayesian bound via stochastic gradient descent. Most of these procedures need to replace the…

机器学习 · 计算机科学 2022-07-01 Eugenio Clerico , George Deligiannidis , Arnaud Doucet

In this paper, a novel surrogate model based on the Grassmannian diffusion maps (GDMaps) and utilizing geometric harmonics is developed for predicting the response of engineering systems and complex physical phenomena. The method utilizes…

数据分析、统计与概率 · 物理学 2022-06-28 Ketson R. M. dos Santos , Dimitrios G. Giovanis , Katiana Kontolati , Dimitrios Loukrezis , Michael D. Shields

Inducing-point-based sparse variational Gaussian processes have become the standard workhorse for scaling up GP models. Recent advances show that these methods can be improved by introducing a diagonal scaling matrix to the conditional…

机器学习 · 统计学 2025-07-04 Thang D. Bui , Michalis K. Titsias

A physical implementation of the adiabatic Grover search is theoretically investigated in a system of N identical three-level atoms trapped in a single mode cavity. Some of the atoms are marked through the presence of an energy gap between…

量子物理 · 物理学 2008-08-22 D. Daems , S. Guérin

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

机器学习 · 计算机科学 2026-04-08 Kevin Zhang , Yixin Wang

The computational burden of running a complex computer model can make optimization impractical. Gaussian Processes (GPs) are statistical surrogates (also known as emulators) that alleviate this issue since they cheaply replace the computer…

统计计算 · 统计学 2019-09-11 Theodoros Mathikolonis , Serge Guillas

Gaussian processes (GPs) are widely used as surrogate models for complicated functions in scientific and engineering applications. In many cases, prior knowledge about the function to be approximated, such as monotonicity, is available and…

机器学习 · 统计学 2025-07-10 Chao Zhang , Jasper M. Everink , Jakob Sauer Jørgensen

Sparse pseudo-point approximations for Gaussian process (GP) models provide a suite of methods that support deployment of GPs in the large data regime and enable analytic intractabilities to be sidestepped. However, the field lacks a…

机器学习 · 统计学 2017-11-15 Thang D. Bui , Cuong V. Nguyen , Richard E. Turner

In recent years, surrogate models have been successfully used in likelihood-free inference to decrease the number of simulator evaluations. The current state-of-the-art performance for this task has been achieved by Bayesian Optimization…

机器学习 · 计算机科学 2021-10-06 Alexander Aushev , Henri Pesonen , Markus Heinonen , Jukka Corander , Samuel Kaski
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