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We propose and analyze a model-based derivative-free (DFO) algorithm for solving bound-constrained optimization problems where the objective function is the composition of a smooth function and a vector of black-box functions. We assume…

最优化与控制 · 数学 2024-01-03 Frank E. Curtis , Shima Dezfulian , Andreas Wächter

Derivative-free optimization (DFO) consists in finding the best value of an objective function without relying on derivatives. To tackle such problems, one may build approximate derivatives, using for instance finite-difference estimates.…

最优化与控制 · 数学 2024-06-04 Clément W. Royer , Oumaima Sohab , Luis Nunes Vicente

Bayesian Optimization (BO) has been recognized for its effectiveness in optimizing expensive and complex objective functions. Recent advancements in Latent Bayesian Optimization (LBO) have shown promise by integrating generative models such…

机器学习 · 计算机科学 2025-04-22 Seunghun Lee , Jinyoung Park , Jaewon Chu , Minseo Yoon , Hyunwoo J. Kim

We propose a general purpose Bayesian inference algorithm for expensive likelihoods, replacing the stochastic term in the Langevin equation with a deterministic density gradient term. The particle density is evaluated from the current…

机器学习 · 统计学 2022-10-14 Richard D. P. Grumitt , Biwei Dai , Uros Seljak

We consider minimizing functions for which it is expensive to compute the (possibly stochastic) gradient. Such functions are prevalent in reinforcement learning, imitation learning and adversarial training. Our target optimization framework…

机器学习 · 计算机科学 2023-06-09 Jonathan Wilder Lavington , Sharan Vaswani , Reza Babanezhad , Mark Schmidt , Nicolas Le Roux

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

Bayesian optimization has attracted huge attention from diverse research areas in science and engineering, since it is capable of efficiently finding a global optimum of an expensive-to-evaluate black-box function. In general, a…

机器学习 · 计算机科学 2025-07-29 Jungtaek Kim

While traditional Deep Learning (DL) optimization methods treat all training samples equally, Distributionally Robust Optimization (DRO) adaptively assigns importance weights to different samples. However, a significant gap exists between…

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

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

This work explores a novel perspective on solving nonconvex and nonsmooth optimization problems by leveraging sampling based methods. Instead of treating the objective function purely through traditional (often deterministic) optimization…

最优化与控制 · 数学 2025-05-21 Nahom Seyoum , Haoxiang You

Bayesian Optimisation (BO) methods seek to find global optima of objective functions which are only available as a black-box or are expensive to evaluate. Such methods construct a surrogate model for the objective function, quantifying the…

机器学习 · 统计学 2023-01-10 Enrico Crovini , Simon L. Cotter , Konstantinos Zygalakis , Andrew B. Duncan

This work proposes a simple yet effective sampling framework for combinatorial optimization (CO). Our method builds on discrete Langevin dynamics (LD), an efficient gradient-guided generative paradigm. However, we observe that directly…

机器学习 · 计算机科学 2025-12-22 Shengyu Feng , Yiming Yang

In this paper, we provide new insights on the Unadjusted Langevin Algorithm. We show that this method can be formulated as a first order optimization algorithm of an objective functional defined on the Wasserstein space of order $2$. Using…

统计计算 · 统计学 2018-03-30 Alain Durmus , Szymon Majewski , Błażej Miasojedow

We tackle the general differentiable meta learning problem that is ubiquitous in modern deep learning, including hyperparameter optimization, loss function learning, few-shot learning, invariance learning and more. These problems are often…

机器学习 · 计算机科学 2024-10-15 Minyoung Kim , Timothy M. Hospedales

This paper describes a simple, but effective sampling method for optimizing and learning a discrete approximation (or surrogate) of a multi-dimensional function along a one-dimensional line segment of interest. The method does not rely on…

最优化与控制 · 数学 2023-07-21 Dimitri J. Papageorgiou , Jan Kronqvist , Krishnan Kumaran

This paper considers global optimization with a black-box unknown objective function that can be non-convex and non-differentiable. Such a difficult optimization problem arises in many real-world applications, such as parameter tuning in…

最优化与控制 · 数学 2016-07-19 Kenji Kawaguchi , Yu Maruyama , Xiaoyu Zheng

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

Gradient-free optimization methods, such as surrogate based optimization (SBO) methods, and genetic (GAs), or evolutionary (EAs) algorithms have gained popularity in the field of constrained optimization of expensive black-box functions.…

最优化与控制 · 数学 2021-07-22 Ahmed Abouhussein , Nusrat Islam , Yulia T. Peet

Many real-world decisions are made under uncertainty by solving optimization problems using predicted quantities. This predict-then-optimize paradigm has motivated decision-focused learning, which trains models with awareness of how the…

机器学习 · 计算机科学 2025-11-10 Paula Rodriguez-Diaz , Kirk Bansak Elisabeth Paulson
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