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In the paper, we present a strategy for accelerating posterior inference for unknown inputs in time fractional diffusion models. In many inference problems, the posterior may be concentrated in a small portion of the entire prior support.…

数值分析 · 数学 2017-07-03 Lijian Jiang , Na Ou

Surrogate-assisted evolutionary algorithms (SAEAs) have been proposed to solve expensive optimization problems. Although SAEAs use surrogate models that approximate the evaluations of solutions using machine learning techniques, prior…

神经与进化计算 · 计算机科学 2026-01-21 Yuki Hanawa , Tomohiro Harada , Yukiya Miura

Bayesian optimization has become a fundamental global optimization algorithm in many problems where sample efficiency is of paramount importance. Recently, there has been proposed a large number of new applications in fields such as…

人工智能 · 计算机科学 2019-02-06 Ruben Martinez-Cantin

Bayesian optimization (BO) is a popular paradigm for global optimization of expensive black-box functions, but there are many domains where the function is not completely a black-box. The data may have some known structure (e.g. symmetries)…

机器学习 · 计算机科学 2022-12-08 Samuel Kim , Peter Y. Lu , Charlotte Loh , Jamie Smith , Jasper Snoek , Marin Soljačić

Laplacian-P-splines (LPS) associate the P-splines smoother and the Laplace approximation in a unifying framework for fast and flexible inference under the Bayesian paradigm. Gaussian Markov field priors imposed on penalized latent variables…

统计方法学 · 统计学 2023-09-18 Philippe Lambert , Oswaldo Gressani

We present a modular approach to reinforcement learning that uses a Bayesian representation of the uncertainty over models. The approach, BOSS (Best of Sampled Set), drives exploration by sampling multiple models from the posterior and…

机器学习 · 计算机科学 2012-05-14 John Asmuth , Lihong Li , Michael L. Littman , Ali Nouri , David Wingate

Building local surrogates to accelerate stationary point searches on potential energy surfaces spans decades of effort. Done correctly, surrogates can reduce the number of expensive electronic structure evaluations by roughly an order of…

机器学习 · 统计学 2026-04-30 Rohit Goswami

Automatically searching for optimal hyperparameter configurations is of crucial importance for applying deep learning algorithms in practice. Recently, Bayesian optimization has been proposed for optimizing hyperparameters of various…

人工智能 · 计算机科学 2017-01-24 Ilija Ilievski , Taimoor Akhtar , Jiashi Feng , Christine Annette Shoemaker

Bayesian optimization (BO) is well known to be sample-efficient for solving black-box problems. However, the BO algorithms can sometimes get stuck in suboptimal solutions even with plenty of samples. Intrinsically, such suboptimal problem…

机器学习 · 计算机科学 2025-01-24 Zhendong Guo , Yew-Soon Ong , Tiantian He , Haitao Liu

In engineering design, surrogate models are widely employed to replace computationally expensive simulations by leveraging design variables and geometric parameters from computer-aided design (CAD) models. However, these models often lose…

机器学习 · 计算机科学 2024-06-05 Jangseop Park , Namwoo Kang

This paper considers data-driven chance-constrained stochastic optimization problems in a Bayesian framework. Bayesian posteriors afford a principled mechanism to incorporate data and prior knowledge into stochastic optimization problems.…

统计理论 · 数学 2023-08-07 Prateek Jaiswal , Harsha Honnappa , Vinayak A. Rao

We consider the problem of approximate Bayesian parameter inference in non-linear state-space models with intractable likelihoods. Sequential Monte Carlo with approximate Bayesian computations (SMC-ABC) is one approach to approximate the…

统计计算 · 统计学 2017-06-14 Johan Dahlin , Mattias Villani , Thomas B. Schön

Datasets in engineering applications are often limited and contaminated, mainly due to unavoidable measurement noise and signal distortion. Thus, using conventional data-driven approaches to build a reliable discriminative model, and…

机器学习 · 统计学 2020-04-14 Xihaier Luo , Ahsan Kareem

Fast machine learning-based surrogate models are trained to emulate slow, high-fidelity engineering simulation models to accelerate engineering design tasks. This introduces uncertainty as the surrogate is only an approximation of the…

机器学习 · 统计学 2020-10-08 Paul Westermann , Ralph Evins

This paper presents a new type of hybrid model for Bayesian optimization (BO) adept at managing mixed variables, encompassing both quantitative (continuous and integer) and qualitative (categorical) types. Our proposed new hybrid models…

机器学习 · 计算机科学 2024-01-22 Hengrui Luo , Younghyun Cho , James W. Demmel , Xiaoye S. Li , Yang Liu

Controller tuning and parameter optimization are crucial in system design to improve closed-loop system performance. Bayesian optimization has been established as an efficient model-free controller tuning and adaptation method. However,…

系统与控制 · 电气工程与系统科学 2024-04-24 Christopher König , Raamadaas Krishnadas , Efe C. Balta , Alisa Rupenyan

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

机器学习 · 计算机科学 2019-01-28 Xi Chen , Mike Hobson

Modern data analysis increasingly requires flexible conditional inference P(X_B | X_A) where (X_A, X_B) is an arbitrary partition of observed variable X. Existing approaches are either restricted to a fixed conditioning structure or depend…

机器学习 · 统计学 2026-03-11 Qiao Liu , Wing Hung Wong

Surrogate models based on machine learning methods have become an important part of modern engineering to replace costly computer simulations. The data used for creating a surrogate model are essential for the model accuracy and often…

机器学习 · 统计学 2023-10-03 Sven Lämmle , Can Bogoclu , Kevin Cremanns , Dirk Roos

Sample efficiency is one of the key factors when applying policy search to real-world problems. In recent years, Bayesian Optimization (BO) has become prominent in the field of robotics due to its sample efficiency and little prior…

机器人学 · 计算机科学 2020-11-19 Lukas P. Fröhlich , Melanie N. Zeilinger , Edgar D. Klenske