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Zeroth-order optimization addresses problems where gradient information is inaccessible or impractical to compute. While most existing methods rely on first-order approximations, incorporating second-order (curvature) information can, in…

机器学习 · 计算机科学 2025-07-09 Dongyoon Kim , Sungjae Lee , Wonjin Lee , Kwang In Kim

Humans demonstrate a variety of interesting behavioral characteristics when performing tasks, such as selecting between seemingly equivalent optimal actions, performing recovery actions when deviating from the optimal trajectory, or…

机器人学 · 计算机科学 2022-11-08 Hanbit Oh , Hikaru Sasaki , Brendan Michael , Takamitsu Matsubara

Bayesian optimization is a class of data efficient model based algorithms typically focused on global optimization. We consider the more general case where a user is faced with multiple problems that each need to be optimized conditional on…

机器学习 · 统计学 2020-11-04 Michael Pearce , Janis Klaise , Matthew Groves

When a problem instance is perturbed by a small modification, one would hope to find a good solution for the new instance by building on a known good solution for the previous one. Via a rigorous mathematical analysis, we show that…

神经与进化计算 · 计算机科学 2019-04-17 Benjamin Doerr , Carola Doerr , Frank Neumann

Data analysis in science, e.g., high-energy particle physics, is often subject to an intractable likelihood if the observables and observations span a high-dimensional input space. Typically the problem is solved by reducing the…

数据分析、统计与概率 · 物理学 2021-01-14 Stefan Wunsch , Simon Jörger , Roger Wolf , Günter Quast

Neuroprostheses show potential in restoring lost sensory function and enhancing human capabilities, but the sensations produced by current devices often seem unnatural or distorted. Exact placement of implants and differences in individual…

神经元与认知 · 定量生物学 2023-10-31 Jacob Granley , Tristan Fauvel , Matthew Chalk , Michael Beyeler

Alzheimer's disease is a neurodegenerative condition that accelerates cognitive decline relative to normal aging. It is of critical scientific importance to gain a better understanding of early disease mechanisms in the brain to facilitate…

应用统计 · 统计学 2022-01-19 D. Andrew Brown , Christopher S. McMahan , Russell T. Shinohara , Kristin A. Linn

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

机器学习 · 计算机科学 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

The present study aimed to solve the cure optimization problem of laminated composites through a statistical approach. The approach consisted of using constrained Bayesian Optimization (cBO) along with a Gaussian process model as a…

应用统计 · 统计学 2025-06-02 Madhura Limaye , Yezhuo Li , Qiong Zhang , Gang Li

In this paper, we present a novel approach to accelerate the Bayesian inference process, focusing specifically on the nested sampling algorithms. Bayesian inference plays a crucial role in cosmological parameter estimation, providing a…

天体物理仪器与方法 · 物理学 2024-10-17 Isidro Gómez-Vargas , J. Alberto Vázquez

Bayesian Optimization (BO) is a widely-used method for optimizing expensive-to-evaluate black-box functions. Traditional BO assumes that the learner has full control over all query variables without additional constraints. However, in many…

机器学习 · 计算机科学 2024-12-23 Vu Viet Hoang , Quoc Anh Hoang Nguyen , Hung Tran The

Bayesian Optimization (BO) is a popular approach to optimizing expensive-to-evaluate black-box functions. Despite the success of BO, its performance may decrease exponentially as the dimensionality increases. A common framework to tackle…

机器学习 · 计算机科学 2024-12-24 Quoc-Anh Hoang Nguyen , The Hung Tran

Bayesian Optimization aims at optimizing an unknown non-convex/concave function that is costly to evaluate. We are interested in application scenarios where concurrent function evaluations are possible. Under such a setting, BO could choose…

人工智能 · 计算机科学 2012-05-02 Javad Azimi , Ali Jalali , Xiaoli Fern

High-dimensional Bayesian optimization (BO) tasks such as molecular design often require 10,000 function evaluations before obtaining meaningful results. While methods like sparse variational Gaussian processes (SVGPs) reduce computational…

机器学习 · 计算机科学 2025-06-11 Natalie Maus , Kyurae Kim , Geoff Pleiss , David Eriksson , John P. Cunningham , Jacob R. Gardner

Given a Hyperparameter Optimization(HPO) problem, how to design an algorithm to find optimal configurations efficiently? Bayesian Optimization(BO) and the multi-fidelity BO methods employ surrogate models to sample configurations based on…

机器学习 · 计算机科学 2024-02-22 Yang Zhang , Haiyang Wu , Yuekui Yang

Bayesian optimization has recently emerged as a popular method for the sample-efficient optimization of expensive black-box functions. However, the application to high-dimensional problems with several thousand observations remains…

机器学习 · 计算机科学 2020-02-26 David Eriksson , Michael Pearce , Jacob R Gardner , Ryan Turner , Matthias Poloczek

Bin Packing problems have been widely studied because of their broad applications in different domains. Known as a set of NP-hard problems, they have different vari- ations and many heuristics have been proposed for obtaining approximate…

机器学习 · 计算机科学 2017-02-16 Feng Mao , Edgar Blanco , Mingang Fu , Rohit Jain , Anurag Gupta , Sebastien Mancel , Rong Yuan , Stephen Guo , Sai Kumar , Yayang Tian

Decades of exponential scaling in high performance computing (HPC) efficiency is coming to an end. Transistor based logic in complementary metal-oxide semiconductor (CMOS) technology is approaching physical limits beyond which further…

机器学习 · 计算机科学 2024-02-01 Fiona Knoll , John T. Daly , Jess J. Meyer

How should we gather information to make effective decisions? We address Bayesian active learning and experimental design problems, where we sequentially select tests to reduce uncertainty about a set of hypotheses. Instead of minimizing…

机器学习 · 计算机科学 2014-02-25 Shervin Javdani , Yuxin Chen , Amin Karbasi , Andreas Krause , J. Andrew Bagnell , Siddhartha Srinivasa

Recommendation algorithms that incorporate techniques from deep learning are becoming increasingly popular. Due to the structure of the data coming from recommendation domains (i.e., one-hot-encoded vectors of item preferences), these…

机器学习 · 计算机科学 2017-06-14 Joan Serrà , Alexandros Karatzoglou
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