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The most data-efficient algorithms for reinforcement learning (RL) in robotics are based on uncertain dynamical models: after each episode, they first learn a dynamical model of the robot, then they use an optimization algorithm to find a…

In this note, we present a derivative-free trust-region (TR) algorithm for reliability based optimization (RBO) problems. The proposed algorithm consists of solving a set of subproblems, in which simple surrogate models of the reliability…

统计计算 · 统计学 2016-10-04 Tian Gao , Jinglai Li

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

最优化与控制 · 数学 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

We consider model-based derivative-free optimization (DFO) for large-scale problems, based on iterative minimization in random subspaces. We provide the first worst-case complexity bound for such methods for convergence to approximate…

最优化与控制 · 数学 2024-12-20 Coralia Cartis , Lindon Roberts

In this work, we utilize a Trust Region based Derivative Free Optimization (DFO-TR) method to directly maximize the Area Under Receiver Operating Characteristic Curve (AUC), which is a nonsmooth, noisy function. We show that AUC is a smooth…

机器学习 · 计算机科学 2017-03-22 Hiva Ghanbari , Katya Scheinberg

Recent computational strategies based on screening tests have been proposed to accelerate algorithms addressing penalized sparse regression problems such as the Lasso. Such approaches build upon the idea that it is worth dedicating some…

机器学习 · 统计学 2015-10-28 Antoine Bonnefoy , Valentin Emiya , Liva Ralaivola , Rémi Gribonval

In many optimization problems arising from scientific, engineering and artificial intelligence applications, objective and constraint functions are available only as the output of a black-box or simulation oracle that does not provide…

最优化与控制 · 数学 2019-08-15 Jeffrey Larson , Matt Menickelly , Stefan M. Wild

A tremendous range of design tasks in materials, physics, and biology can be formulated as finding the optimum of an objective function depending on many parameters without knowing its closed-form expression or the derivative. Traditional…

机器学习 · 计算机科学 2024-04-08 Ye Wei , Bo Peng , Ruiwen Xie , Yangtao Chen , Yu Qin , Peng Wen , Stefan Bauer , Po-Yen Tung

A novel derivative-free algorithm, optimization by moving ridge functions (OMoRF), for unconstrained and bound-constrained optimization is presented. This algorithm couples trust region methodologies with output-based dimension reduction to…

最优化与控制 · 数学 2021-01-07 James C. Gross , Geoffrey T. Parks

Gradient-based methods for optimisation of objectives in stochastic settings with unknown or intractable dynamics require estimators of derivatives. We derive an objective that, under automatic differentiation, produces low-variance…

机器学习 · 计算机科学 2019-09-25 Gregory Farquhar , Shimon Whiteson , Jakob Foerster

Optimization of beamlines and lattices is a common problem in accelerator physics, which is usually solved with semi-analytical methods and numerical optimization routines. However, these are usually of the gradient-free or…

加速器物理 · 物理学 2025-07-14 Francisco Huhn , Francesco M. Velotti

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

To reduce complexity and achieve scalable performance in high-dimensional black-box settings, we propose a distributed method for nonconvex derivative-free optimization of continuous variables with an additively separable objective, subject…

最优化与控制 · 数学 2025-11-03 Damilola Fasiku , Wentao Tang

Fast, gradient-based structural optimization has long been limited to a highly restricted subset of problems -- namely, density-based compliance minimization -- for which gradients can be analytically derived. For other objective functions,…

计算工程、金融与科学 · 计算机科学 2024-09-17 Keith J. Lee , Yijiang Huang , Caitlin T. Mueller

The diverse world of machine learning applications has given rise to a plethora of algorithms and optimization methods, finely tuned to the specific regression or classification task at hand. We reduce the complexity of algorithm design for…

最优化与控制 · 数学 2016-05-23 Zeyuan Allen-Zhu , Elad Hazan

This paper considers the efficient minimization of the infinite time average of a stationary ergodic process in the space of a handful of design parameters which affect it. Problems of this class, derived from physical or numerical…

最优化与控制 · 数学 2019-10-29 Pooriya Beyhaghi , Ryan Alimo , Thomas Bewley

Accelerator performance often deteriorates with time during a long period of operation due to secular changes in the machine components or the surrounding environment. In many cases some tuning knobs are effective in compensating the…

加速器物理 · 物理学 2022-12-21 Zhe Zhang , Minghao Song , Xiaobiao Huang

This paper focuses on hyperparameter optimization for autonomous driving strategies based on Reinforcement Learning. We provide a detailed description of training the RL agent in a simulation environment. Subsequently, we employ Efficient…

机器学习 · 计算机科学 2024-07-22 Nihal Acharya Adde , Hanno Gottschalk , Andreas Ebert

We propose a derivative-free saddle-search algorithm designed to locate transition states using only function evaluations. The algorithm employs a nested architecture consisting of an inner eigenvector search and an outer saddle-point…

数值分析 · 数学 2026-01-07 Qiang Du , Baoming Shi , Lei Zhang , Xiangcheng Zheng

A strategy is proposed for characterizing the worst-case performance of algorithms for solving nonconvex smooth optimization problems. Contemporary analyses characterize worst-case performance by providing, under certain assumptions on an…

最优化与控制 · 数学 2018-08-28 Frank E. Curtis , Daniel P. Robinson