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This paper deals with Gibbs samplers that include high dimensional conditional Gaussian distributions. It proposes an efficient algorithm that avoids the high dimensional Gaussian sampling and relies on a random excursion along a small set…

统计计算 · 统计学 2016-04-20 Olivier Féron , François Orieux , Jean-François Giovannelli

Science and Engineering applications are typically associated with expensive optimization problems to identify optimal design solutions and states of the system of interest. Bayesian optimization and active learning compute surrogate models…

机器学习 · 计算机科学 2024-07-09 Francesco Di Fiore , Michela Nardelli , Laura Mainini

In this paper, we scale evolutionary algorithms to high-dimensional optimization problems that deceptively possess a low effective dimensionality (certain dimensions do not significantly affect the objective function). To this end, an…

神经与进化计算 · 计算机科学 2024-01-02 Yaqing Hou , Mingyang Sun , Abhishek Gupta , Yaochu Jin , Haiyin Piao , Hongwei Ge , Qiang Zhang

We present a canonical way to turn any smooth parametric family of probability distributions on an arbitrary search space $X$ into a continuous-time black-box optimization method on $X$, the \emph{information-geometric optimization} (IGO)…

最优化与控制 · 数学 2017-05-01 Yann Ollivier , Ludovic Arnold , Anne Auger , Nikolaus Hansen

We develop sampling methods, which consist of Gaussian invariant versions of random walk Metropolis (RWM), Metropolis adjusted Langevin algorithm (MALA) and second order Hessian or Manifold MALA. Unlike standard RWM and MALA we show that…

机器学习 · 统计学 2025-06-27 Michalis K. Titsias , Angelos Alexopoulos , Siran Liu , Petros Dellaportas

We revisit the classical problem of Bayesian ensembles and address the challenge of learning optimal combinations of Bayesian models in an online, continual learning setting. To this end, we reinterpret existing approaches such as Bayesian…

机器学习 · 计算机科学 2026-01-26 Daniel Waxman , Fernando Llorente , Petar M. Djurić

We consider nonparametric Bayesian estimation inference using a rescaled smooth Gaussian field as a prior for a multidimensional function. The rescaling is achieved using a Gamma variable and the procedure can be viewed as choosing an…

统计理论 · 数学 2009-08-26 A. W. van der Vaart , J. H. van Zanten

Bayesian optimization has emerged as a strong candidate tool for global optimization of functions with expensive evaluation costs. However, due to the dynamic nature of research in Bayesian approaches, and the evolution of computing…

应用统计 · 统计学 2018-08-24 Ran Rubin

In expensive multi-objective optimization, where the evaluation budget is strictly limited, selecting promising candidate solutions for expensive fitness evaluations is critical for accelerating convergence and improving algorithmic…

神经与进化计算 · 计算机科学 2025-06-16 Huixiang Zhen , Xiaotong Li , Wenyin Gong , Xiangyun Hu

Bayesian optimization techniques have been successfully applied to robotics, planning, sensor placement, recommendation, advertising, intelligent user interfaces and automatic algorithm configuration. Despite these successes, the approach…

机器学习 · 统计学 2016-01-12 Ziyu Wang , Frank Hutter , Masrour Zoghi , David Matheson , Nando de Freitas

We develop a fast and scalable computational framework to solve large-scale and high-dimensional Bayesian optimal experimental design problems. In particular, we consider the problem of optimal observation sensor placement for Bayesian…

数值分析 · 数学 2020-11-09 Keyi Wu , Peng Chen , Omar Ghattas

Global optimisation to optimise expensive-to-evaluate black-box functions without gradient information. Bayesian optimisation, one of the most well-known techniques, typically employs Gaussian processes as surrogate models, leveraging their…

机器学习 · 计算机科学 2026-03-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

Bayesian Optimization is an iterative method, tailored to optimizing expensive black box objective functions. Surrogate models like Gaussian Processes, which are the gold standard in Bayesian Optimization, can be inefficient for inputs with…

机器学习 · 计算机科学 2026-05-22 Sofianos Panagiotis Fotias , Vassilis Gaganis

Data-driven evolutionary algorithms usually aim to exploit the information behind a limited amount of data to perform optimization, which have proved to be successful in solving many complex real-world optimization problems. However, most…

人工智能 · 计算机科学 2023-09-06 Qiqi Liu , Yuping Yan , Peter Ligeti , Yaochu Jin

Reinforcement learning provides a framework for learning to control which actions to take towards completing a task through trial-and-error. In many applications observing interactions is costly, necessitating sample-efficient learning. In…

机器学习 · 统计学 2020-11-04 Charles Gadd , Markus Heinonen , Harri Lähdesmäki , Samuel Kaski

Multi-objective optimization aims to solve problems with competing objectives. Evaluating such problems is often slow or expensive, limiting the budget of evaluations. In many applications, historical data from related optimization tasks is…

机器学习 · 计算机科学 2026-05-12 Leonard Papenmeier , Petru Tighineanu

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

最优化与控制 · 数学 2013-10-03 Victor Picheny

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

统计计算 · 统计学 2022-05-30 Emanuele Aliverti , Massimiliano Russo

In this paper we propose a technique to reduce the number of function evaluations, which is often the bottleneck of the black-box optimization, in the information geometric optimization (IGO) that is a generic framework of the probability…

神经与进化计算 · 计算机科学 2018-06-01 Shinichi Shirakawa , Youhei Akimoto , Kazuki Ouchi , Kouzou Ohara

Diffusion models are state-of-the-art generative models, yet their samples often fail to satisfy application objectives such as safety constraints or domain-specific validity. Existing techniques for alignment require gradients, internal…