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A novel class of derivative-free optimization algorithms is developed. The main idea is to utilize certain non-commutative maps in order to approximate the gradient of the objective function. Convergence properties of the novel algorithms…

最优化与控制 · 数学 2018-05-21 Jan Feiling , Amelie Zeller , Christian Ebenbauer

Model-based derivative-free optimization (DFO) methods are an important class of DFO methods that are known to struggle with solving high-dimensional optimization problems. Recent research has shown that incorporating random subspaces into…

最优化与控制 · 数学 2026-05-14 Yiwen Chen , Warren Hare , Amy Wiebe

Derivative-free optimization methods are numerical methods for optimization problems in which no derivative information is used. Such optimization problems are widely seen in many real applications. One particular class of derivative-free…

最优化与控制 · 数学 2023-02-24 Pengcheng Xie , Ya-xiang Yuan

We consider derivative-free black-box global optimization of expensive noisy functions, when most of the randomness in the objective is produced by a few influential scalar random inputs. We present a new Bayesian global optimization…

机器学习 · 计算机科学 2016-02-23 Saul Toscano-Palmerin , Peter I. Frazier

In this paper, we will provide an introduction to the derivative-free optimization algorithms which can be potentially applied to train deep learning models. Existing deep learning model training is mostly based on the back propagation…

机器学习 · 计算机科学 2019-04-23 Jiawei Zhang

Direct preference optimization (DPO) is a successful fine-tuning strategy for aligning large language models with human preferences without the need to train a reward model or employ reinforcement learning. DPO, as originally formulated,…

计算与语言 · 计算机科学 2024-06-07 Afra Amini , Tim Vieira , Ryan Cotterell

Complex design problems are common in the scientific and industrial fields. In practice, objective functions or constraints of these problems often do not have explicit formulas, and can be estimated only at a set of sampling points through…

最优化与控制 · 数学 2022-10-12 Lulu Zhang , Zhi-Qin John Xu , Yaoyu Zhang

Reinforcement learning is about learning agent models that make the best sequential decisions in unknown environments. In an unknown environment, the agent needs to explore the environment while exploiting the collected information, which…

机器学习 · 计算机科学 2021-02-12 Hong Qian , Yang Yu

Reinforcement learning from human feedback (RLHF) plays a crucial role in aligning language models with human preferences. While the significance of dataset quality is generally recognized, explicit investigations into its impact within the…

机器学习 · 计算机科学 2024-12-04 Tetsuro Morimura , Mitsuki Sakamoto , Yuu Jinnai , Kenshi Abe , Kaito Ariu

Adaptive sampling with interpolation-based trust regions or ASTRO-DF is a successful algorithm for stochastic derivative-free optimization with an easy-to-understand-and-implement concept that guarantees almost sure convergence to a…

最优化与控制 · 数学 2024-01-18 Yunsoo Ha , Sara Shashaani

Bayesian optimization (BO) developed as an approach for the efficient optimization of expensive black-box functions without gradient information. A typical BO paper introduces a new approach and compares it to some alternatives on simulated…

统计计算 · 统计学 2023-10-17 Jiajie Kong , Tony Pourmohamad , Herbert K. H. Lee

Differentiable planning enables gradient-based optimization of decision-making problems by leveraging differentiable models of system dynamics. However, in highly nonlinear and hybrid discrete-continuous domains, the resulting optimization…

人工智能 · 计算机科学 2026-05-11 Yuval Aroosh , Ayal Taitler

We consider an optimization problem related to semi-active damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use a minimization…

动力系统 · 数学 2017-07-07 Zoran Tomljanović , Christopher Beattie , Serkan Gugercin

Derivative-free optimization algorithms are particularly useful for tackling blackbox optimization problems where the objective function arises from complex and expensive procedures that preclude the use of classical gradient-based methods.…

最优化与控制 · 数学 2026-03-31 El Houcine Bergou , Youssef Diouane , Vyacheslav Kungurtsev , Clément W. Royer

In this work, we propose a heuristic based open source solver for finding global solution to constrained derivative-free optimization (DFO) problems. Our solver named Global optimization using Surrogates for Derivative-free Optimization…

最优化与控制 · 数学 2024-04-30 Gannavarapu Chandramouli , Vishnu Narayanan

Iterative optimization is central to modern artificial intelligence (AI) and provides a crucial framework for understanding adaptive systems. This review provides a unified perspective on this subject, bridging classic theory with neural…

机器学习 · 计算机科学 2025-10-22 Jesús García Fernández , Nasir Ahmad , Marcel van Gerven

Modern alignment pipelines are increasingly replacing expensive human preference labels with evaluations from large language models (LLM-as-Judge). However, AI labels can be systematically biased compared to high-quality human feedback…

机器学习 · 统计学 2026-02-10 Xintao Xia , Zhiqiu Xia , Linjun Zhang , Zhanrui Cai

The paper discusses derivative-free optimization (DFO), which involves minimizing a function without access to gradients or directional derivatives, only function evaluations. Classical DFO methods, which mimic gradient-based methods, such…

最优化与控制 · 数学 2025-04-17 Bumsu Kim , HanQin Cai , Daniel McKenzie , Wotao Yin

Direct Preference Optimization (DPO), which derives reward signals directly from pairwise preference data, has shown its effectiveness on aligning Large Language Models (LLMs) with human preferences. Despite its widespread use across…

计算与语言 · 计算机科学 2024-04-09 Duanyu Feng , Bowen Qin , Chen Huang , Zheng Zhang , Wenqiang Lei

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

机器学习 · 计算机科学 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne