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Bayesian computation plays an important role in modern machine learning and statistics to reason about uncertainty. A key computational challenge in Bayesian inference is to develop efficient techniques to approximate, or draw samples from…

数值分析 · 数学 2021-09-01 Liang Yan , Tao Zhou

We consider the problem of optimizing expensive black-box functions over high-dimensional combinatorial spaces which arises in many science, engineering, and ML applications. We use Bayesian Optimization (BO) and propose a novel surrogate…

We consider quantile optimization of black-box functions that are estimated with noise. We propose two new iterative three-timescale local search algorithms. The first algorithm uses an appropriately modified finite-difference-based…

最优化与控制 · 数学 2023-08-16 Jiaqiao Hu , Meichen Song , Michael C. Fu

Machine learning models play a vital role in time series forecasting. These models, however, often overlook an important element: point uncertainty estimates. Incorporating these estimates is crucial for effective risk management, informed…

机器学习 · 计算机科学 2024-09-11 Leonid Erlygin , Vladimir Zholobov , Valeriia Baklanova , Evgeny Sokolovskiy , Alexey Zaytsev

Faced with problems of increasing complexity, recent research in Bayesian Optimisation (BO) has focused on adapting deep probabilistic models as flexible alternatives to Gaussian Processes (GPs). In a similar vein, this paper investigates…

机器学习 · 计算机科学 2022-05-31 Alexandre Maraval , Matthieu Zimmer , Antoine Grosnit , Rasul Tutunov , Jun Wang , Haitham Bou Ammar

Bayesian optimization is a highly efficient approach to optimizing objective functions which are expensive to query. These objectives are typically represented by Gaussian process (GP) surrogate models which are easy to optimize and support…

机器学习 · 计算机科学 2024-05-09 Yucen Lily Li , Tim G. J. Rudner , Andrew Gordon Wilson

We propose a class of very simple modifications of gradient descent and stochastic gradient descent. We show that when applied to a large variety of machine learning problems, ranging from logistic regression to deep neural nets, the…

机器学习 · 计算机科学 2019-04-30 Stanley Osher , Bao Wang , Penghang Yin , Xiyang Luo , Farzin Barekat , Minh Pham , Alex Lin

An adaptation of Response Surface Methodology (RSM) when the covariate is of high or infinite dimensional is proposed, providing a tool for black-box optimization in this context. We combine dimension reduction techniques with classical…

统计理论 · 数学 2015-11-19 Angelina Roche

Many challenges in science and engineering, such as drug discovery and communication network design, involve optimizing complex and expensive black-box functions across vast search spaces. Thus, it is essential to leverage existing data to…

机器学习 · 计算机科学 2024-12-04 Juncheng Dong , Zihao Wu , Hamid Jafarkhani , Ali Pezeshki , Vahid Tarokh

Deep neural networks are vulnerable to adversarial examples -- minor perturbations added to a model's input which cause the model to output an incorrect prediction. We introduce a new method for improving the efficacy of adversarial attacks…

计算机视觉与模式识别 · 计算机科学 2020-12-01 Chris Miller , Soroush Vosoughi

Building surrogate models is one common approach when we attempt to learn unknown black-box functions. Bayesian optimization provides a framework which allows us to build surrogate models based on sequential samples drawn from the function…

机器学习 · 计算机科学 2021-09-17 Hengrui Luo , James W. Demmel , Younghyun Cho , Xiaoye S. Li , Yang Liu

Bayesian Optimization using Gaussian Processes is a popular approach to deal with the optimization of expensive black-box functions. However, because of the a priori on the stationarity of the covariance matrix of classic Gaussian…

机器学习 · 统计学 2019-05-10 Ali Hebbal , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Nouredine Melab

We propose a reduced-space formulation for optimizing over trained neural networks where the network's outputs and derivatives are evaluated on a GPU. To do this, we treat the neural network as a "gray box" where intermediate variables and…

机器学习 · 计算机科学 2025-12-10 Robert Parker , Oscar Dowson , Nicole LoGiudice , Manuel Garcia , Russell Bent

Derivative-Free Optimization (DFO) involves methods that rely solely on evaluations of the objective function. One of the earliest strategies for designing DFO methods is to adapt first-order methods by replacing gradients with…

最优化与控制 · 数学 2025-02-12 Timothé Taminiau , Estelle Massart , Geovani Nunes Grapiglia

Black box discrete optimization (BBDO) appears in wide range of engineering tasks. Evolutionary or other BBDO approaches have been applied, aiming at automating necessary tuning of system parameters, such as hyper parameter tuning of…

机器学习 · 计算机科学 2018-09-19 Kouhei Nishida , Hernan Aguirre , Shota Saito , Shinichi Shirakawa , Youhei Akimoto

Stochastic inverse problems are generally solved by some form of finite sampling of a space of uncertain parameters. For computationally expensive models, surrogate response surfaces are often employed to increase the number of samples used…

数值分析 · 数学 2018-07-04 Steven Mattis , Barbara Wohlmuth

Bayesian parameter inference for complex stochastic simulators is challenging due to intractable likelihood functions. Existing simulation-based inference methods often require large number of simulations and become costly to use in…

机器学习 · 计算机科学 2026-04-06 Vasilis Gkolemis , Christos Diou , Michael U. Gutmann

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

计算物理 · 物理学 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

Simulators often provide the best description of real-world phenomena. However, they also lead to challenging inverse problems because the density they implicitly define is often intractable. We present a new suite of simulation-based…

机器学习 · 统计学 2020-02-25 Johann Brehmer , Gilles Louppe , Juan Pavez , Kyle Cranmer

Global optimization of black-box functions is challenging in high dimensions. We introduce a conceptual adaptive random search framework, Branching Adaptive Surrogate Search Optimization (BASSO), that combines partitioning and surrogate…

最优化与控制 · 数学 2025-04-28 Pariyakorn Maneekul , Zelda B. Zabinsky , Giulia Pedrielli