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Global polynomial optimization is an important tool across applied mathematics, with many applications in operations research, engineering, and physical sciences. In various settings, the polynomials depend on external parameters that may…

最优化与控制 · 数学 2024-06-14 Richard L. Zhu , Mathias Oster , Yuehaw Khoo

Submodular optimization has numerous applications such as crowdsourcing and viral marketing. In this paper, we study the fundamental problem of non-negative submodular function maximization subject to a $k$-system constraint, which…

数据结构与算法 · 计算机科学 2021-06-16 Kai Han , Shuang Cui , Tianshuai Zhu , Jing Tang , Benwei Wu , He Huang

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

机器学习 · 统计学 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

Bayesian optimization (BO) has been widely used in machine learning and simulation optimization. With the increase in computational resources and storage capacities in these fields, high-dimensional and large-scale problems are becoming…

机器学习 · 计算机科学 2022-06-02 Haowei Wang , Ercong Zhang , Szu Hui Ng , Giulia Pedrielli

Stochastic optimization is a widely used approach for optimization under uncertainty, where uncertain input parameters are modeled by random variables. Exact or approximation algorithms have been obtained for several fundamental problems in…

机器学习 · 计算机科学 2025-08-14 Arpit Agarwal , Rohan Ghuge , Viswanath Nagarajan , Zhengjia Zhuo

We present a data-driven Bayesian nonparametric approach for global optimization (DaBNO) of stochastic black-box function. The function value depends on the distribution of a random vector. However, this distribution is usually complex and…

最优化与控制 · 数学 2024-02-28 Haowei Wang , Xun Zhang , Szu Hui Ng , Songhao Wang

We present a convex optimization framework for overcoming the limitations of Kubernetes Cluster Autoscaler by intelligently allocating diverse cloud resources while minimizing costs and fragmentation. Current Kubernetes scaling mechanisms…

分布式、并行与集群计算 · 计算机科学 2025-03-28 Shayan Boghani , Emin Kirimlioglu , Amrita Moturi , Hao-Ting Tso

The integration of Reinforcement Learning (RL) and Evolutionary Algorithms (EAs) aims at simultaneously exploiting the sample efficiency as well as the diversity and robustness of the two paradigms. Recently, hybrid learning frameworks…

神经与进化计算 · 计算机科学 2022-11-08 Yuxing Wang , Tiantian Zhang , Yongzhe Chang , Bin Liang , Xueqian Wang , Bo Yuan

Parallel surrogate optimization algorithms have proven to be efficient methods for solving expensive noisy optimization problems. In this work we develop a new parallel surrogate optimization algorithm (ProSRS), using a novel tree-based…

最优化与控制 · 数学 2019-08-22 Chenchao Shou , Matthew West

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

机器学习 · 计算机科学 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

Sample efficiency in the face of computationally expensive simulations is a common concern in surrogate modeling. Current strategies to minimize the number of samples needed are not as effective in simulated environments with wide state…

机器学习 · 计算机科学 2025-09-03 Julen Cestero , Marco Quartulli , Marcello Restelli

We introduce kernel-QA, a black-box optimization (BBO) method that constructs surrogate models analytically using low-order polynomial kernels within a quadratic unconstrained binary optimization (QUBO) framework, enabling efficient…

最优化与控制 · 数学 2025-11-07 Yuki Minamoto , Yuya Sakamoto

Expensive optimization problems (EOPs) are prevalent in real-world applications, where the evaluation of a single solution requires a significant amount of resources. In our study of surrogate-assisted evolutionary algorithms (SAEAs) in…

神经与进化计算 · 计算机科学 2024-12-06 Hao Hao , Xiaoqun Zhang , Aimin Zhou

This study aims to provide a comprehensive assessment of single-objective and multi-objective optimisation algorithms for the design of an elbow-type draft tube, as well as to introduce a computationally efficient optimisation workflow. The…

最优化与控制 · 数学 2024-01-18 Ante Sikirica , Ivana Lučin , Marta Alvir , Lado Kranjčević , Zoran Čarija

This paper presents a novel methodology that uses surrogate models in the form of neural networks to reduce the computation time of simulation-based optimization of a reference trajectory. Simulation-based optimization is necessary when…

最优化与控制 · 数学 2023-03-31 Evelyn Ruff , Rebecca Russell , Matthew Stoeckle , Piero Miotto , Jonathan P. How

Machine learning classification techniques have been used widely to recognize the feasible design domain and discover hidden patterns in engineering design. An accurate classification model needs a large dataset; however, generating a large…

数据分析、统计与概率 · 物理学 2021-07-13 Xianping Du , Kai Zhang , Onur Bilgen , Laurent Burlion , Hongyi Xu

A major challenge in Bayesian Optimization is the boundary issue (Swersky, 2017) where an algorithm spends too many evaluations near the boundary of its search space. In this paper, we propose BOCK, Bayesian Optimization with Cylindrical…

机器学习 · 统计学 2019-10-30 ChangYong Oh , Efstratios Gavves , Max Welling

We study the interplay between surrogate methods for structured prediction and techniques from multitask learning designed to leverage relationships between surrogate outputs. We propose an efficient algorithm based on trace norm…

机器学习 · 计算机科学 2019-03-05 Giulia Luise , Dimitris Stamos , Massimiliano Pontil , Carlo Ciliberto

This work considers stochastic optimization problems in which the objective function values can only be computed by a blackbox corrupted by some random noise following an unknown distribution. The proposed method is based on sequential…

最优化与控制 · 数学 2023-08-15 Charles Audet , Jean Bigeon , Romain Couderc , Michael Kokkolaras

Evolutionary illumination is a recent technique that allows producing many diverse, optimal solutions in a map of manually defined features. To support the large amount of objective function evaluations, surrogate model assistance was…

神经与进化计算 · 计算机科学 2017-03-30 Alexander Hagg
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