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The theory of ergodic optimization for distance-expanding maps is extended to Gauss's continued fraction map. Since the set of invariant probability measures is not weak$^*$ closed, we establish a characterisation of the closure of this…

动力系统 · 数学 2025-12-29 Yinying Huang , Oliver Jenkinson , Zhiqiang Li

Bayesian Optimisation (BO) refers to a suite of techniques for global optimisation of expensive black box functions, which use introspective Bayesian models of the function to efficiently search for the optimum. While BO has been applied…

Batch Bayesian optimisation (BO) is a successful technique for the optimisation of expensive black-box functions. Asynchronous BO can reduce wallclock time by starting a new evaluation as soon as another finishes, thus maximising resource…

机器学习 · 计算机科学 2021-06-14 George De Ath , Richard M. Everson , Jonathan E. Fieldsend

Efficiency of an optimization process is largely determined by the search algorithm and its fundamental characteristics. In a given optimization, a single type of algorithm is used in most applications. In this paper, we will investigate…

最优化与控制 · 数学 2012-03-30 Xin-She Yang , Suash Deb

When solving global optimization problems in practice, one often ends up repeatedly solving problems that are similar to each others. By providing a rigorous definition of similarity, in this work we propose to incorporate the META-learning…

最优化与控制 · 数学 2023-05-02 Riccardo Busetto , Valentina Breschi , Simone Formentin

We consider the problem of global optimization with noisy zeroth order oracles - a well-motivated problem useful for various applications ranging from hyper-parameter tuning for deep learning to new material design. Existing work relies on…

机器学习 · 计算机科学 2023-07-21 Chong Liu , Yu-Xiang Wang

In an ego-network, an individual (ego) organizes its friends (alters) in different groups (social circles). This social network can be efficiently analyzed after learning representations of the ego and its alters in a low-dimensional, real…

社会与信息网络 · 计算机科学 2020-02-18 Fatemeh Salehi Rizi , Michael Granitzer , Konstantin Ziegler

Bayesian optimization is a sample-efficient method for finding a global optimum of an expensive-to-evaluate black-box function. A global solution is found by accumulating a pair of query point and its function value, repeating these two…

机器学习 · 统计学 2020-06-17 Jungtaek Kim , Seungjin Choi

The implementation of global optimization algorithms, using the arithmetic of infinity, is considered. A relatively simple version of implementation is proposed for the algorithms that possess the introduced property of strong homogeneity.…

数值分析 · 计算机科学 2016-11-25 Antanas Zilinskas

Bayesian optimization (BO) is a powerful technology for optimizing noisy expensive-to-evaluate black-box functions, with a broad range of real-world applications in science, engineering, economics, manufacturing, and beyond. In this paper,…

机器学习 · 计算机科学 2024-01-30 Joel A. Paulson , Calvin Tsay

In the field of global optimization, many existing algorithms face challenges posed by non-convex target functions and high computational complexity or unavailability of gradient information. These limitations, exacerbated by sensitivity to…

最优化与控制 · 数学 2023-10-16 Xinyu Zhang , Sujit Ghosh

Design optimization under uncertainty is notoriously difficult when the objective function is expensive to evaluate. State-of-the-art techniques, e.g, stochastic optimization or sampling average approximation, fail to learn exploitable…

最优化与控制 · 数学 2019-06-20 Piyush Pandita , Ilias Bilionis , Jitesh Panchal

Complex queries for massive data analysis jobs have become increasingly commonplace. Many such queries contain com- mon subexpressions, either within a single query or among multiple queries submitted as a batch. Conventional query…

数据库 · 计算机科学 2017-01-20 Tarun Kathuria , S. Sudarshan

Bayesian optimization (BO) is a sequential approach for optimizing black-box objective functions using zeroth-order noisy observations. In BO, Gaussian processes (GPs) are employed as probabilistic surrogate models to estimate the objective…

机器学习 · 计算机科学 2025-04-02 Dongwon Kim , Matteo Zecchin , Sangwoo Park , Joonhyuk Kang , Osvaldo Simeone

Bayesian Optimization (BO) is an effective approach for global optimization of black-box functions when function evaluations are expensive. Most prior works use Gaussian processes to model the black-box function, however, the use of kernels…

机器学习 · 计算机科学 2023-09-25 Dat Phan-Trong , Hung Tran-The , Sunil Gupta

The ultimate goal of optimization is to find the minimizer of a target function.However, typical criteria for active optimization often ignore the uncertainty about the minimizer. We propose a novel criterion for global optimization and an…

统计方法学 · 统计学 2012-02-13 Il Memming Park , Marcel Nassar , Mijung Park

We propose a new objective for option discovery that emphasizes the computational advantage of using options in planning. In a sequential machine, the speed of planning is proportional to the number of elementary operations used to achieve…

机器学习 · 计算机科学 2022-10-03 Yi Wan , Richard S. Sutton

When dealing with continuous single-objective problems, multimodality poses one of the biggest difficulties for global optimization. Local optima are often preventing algorithms from making progress and thus pose a severe threat. In this…

神经与进化计算 · 计算机科学 2020-06-26 Vera Steinhoff , Pascal Kerschke , Christian Grimme

We present GLASSES: Global optimisation with Look-Ahead through Stochastic Simulation and Expected-loss Search. The majority of global optimisation approaches in use are myopic, in only considering the impact of the next function value; the…

机器学习 · 统计学 2015-10-22 Javier González , Michael Osborne , Neil D. Lawrence

Evolutionary Multi-Objective Optimization Algorithms (EMOAs) are widely employed to tackle problems with multiple conflicting objectives. Recent research indicates that not all objectives are equally important to the decision-maker (DM). In…

人工智能 · 计算机科学 2024-11-08 Seyed Mahdi Shavarani , Mahmoud Golabi , Richard Allmendinger , Lhassane Idoumghar