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Several tasks in machine learning are evaluated using non-differentiable metrics such as mean average precision or Spearman correlation. However, their non-differentiability prevents from using them as objective functions in a learning…

机器学习 · 计算机科学 2019-04-10 Martin Engilberge , Louis Chevallier , Patrick Pérez , Matthieu Cord

Simulation models are widely used in practice to facilitate decision-making in a complex, dynamic and stochastic environment. But they are computationally expensive to execute and optimize, due to lack of analytical tractability. Simulation…

最优化与控制 · 数学 2021-06-14 L. Jeff Hong , Xiaowei Zhang

Optimization of real-world black-box functions defined over purely categorical variables is an active area of research. In particular, optimization and design of biological sequences with specific functional or structural properties have a…

机器学习 · 计算机科学 2022-02-25 Hamid Dadkhahi , Jesus Rios , Karthikeyan Shanmugam , Payel Das

High-fidelity models are essential for accurately capturing nonlinear system dynamics. However, simulation of these models is often computationally too expensive and, due to their complexity, they are not directly suitable for analysis,…

系统与控制 · 电气工程与系统科学 2025-09-05 E. Javier Olucha , Rajiv Singh , Amritam Das , Roland Tóth

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

Building surrogate models is one common approach when we attempt to learn unknown black-box functions. Bayesian optimization provides a framework which allows us to build surrogate models based on sequential samples drawn from the function…

机器学习 · 计算机科学 2021-09-17 Hengrui Luo , James W. Demmel , Younghyun Cho , Xiaoye S. Li , Yang Liu

This study introduces a non-intrusive approach in the context of low-rank separated representation to construct a surrogate of high-dimensional stochastic functions, e.g., PDEs/ODEs, in order to decrease the computational cost of Markov…

数据分析、统计与概率 · 物理学 2013-12-25 AbdoulAhad Validi

In this paper, we study optimization methods consisting of iteratively minimizing surrogates of an objective function. By proposing several algorithmic variants and simple convergence analyses, we make two main contributions. First, we…

机器学习 · 统计学 2013-05-15 Julien Mairal

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

Decision support systems often rely on solving complex optimization problems that may require to estimate uncertain parameters beforehand. Recent studies have shown how using traditionally trained estimators for this task can lead to…

机器学习 · 计算机科学 2025-12-19 Gaetano Signorelli , Michele Lombardi

Hyperparameter optimization is the process of identifying the appropriate hyperparameter configuration of a given machine learning model with regard to a given learning task. For smaller data sets, an exhaustive search is possible; However,…

机器学习 · 计算机科学 2022-09-30 Blaž Škrlj , Adi Schwartz , Jure Ferlež , Davorin Kopič , Naama Ziporin

A common approach for minimizing a smooth nonlinear function is to employ finite-difference approximations to the gradient. While this can be easily performed when no error is present within the function evaluations, when the function is…

最优化与控制 · 数学 2022-03-24 Hao-Jun Michael Shi , Yuchen Xie , Melody Qiming Xuan , Jorge Nocedal

Surrogate algorithms such as Bayesian optimisation are especially designed for black-box optimisation problems with expensive objectives, such as hyperparameter tuning or simulation-based optimisation. In the literature, these algorithms…

机器学习 · 计算机科学 2024-03-14 Laurens Bliek , Arthur Guijt , Rickard Karlsson , Sicco Verwer , Mathijs de Weerdt

We consider the problem of unconstrained minimization of a smooth objective function in $\R^n$ in a setting where only function evaluations are possible. While importance sampling is one of the most popular techniques used by machine…

最优化与控制 · 数学 2020-04-03 Adel Bibi , El Houcine Bergou , Ozan Sener , Bernard Ghanem , Peter Richtárik

The minimization of loss functions is the heart and soul of Machine Learning. In this paper, we propose an off-the-shelf optimization approach that can minimize virtually any non-differentiable and non-decomposable loss function (e.g.…

机器学习 · 计算机科学 2019-05-27 Josif Grabocka , Randolf Scholz , Lars Schmidt-Thieme

Solving optimization problems with unknown parameters often requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values. Recent work has shown that including the…

机器学习 · 计算机科学 2020-10-23 Kai Wang , Bryan Wilder , Andrew Perrault , Milind Tambe

Surrogates provide a cheap solution evaluation and offer significant leverage for optimizing computationally expensive problems. Usually, surrogates only approximate the original function. Recently, the perfect linear surrogates were…

人工智能 · 计算机科学 2026-04-14 M. W. Przewozniczek , F. Chicano , R. Tinós , M. M. Komarnicki

Recent works in learning-integrated optimization have shown promise in settings where the optimization problem is only partially observed or where general-purpose optimizers perform poorly without expert tuning. By learning an optimizer…

机器学习 · 计算机科学 2023-11-06 Arman Zharmagambetov , Brandon Amos , Aaron Ferber , Taoan Huang , Bistra Dilkina , Yuandong Tian

We propose a new uncertainty estimator for gradient-free optimisation of black-box simulators using deep generative surrogate models. Optimisation of these simulators is especially challenging for stochastic simulators and higher…

机器学习 · 计算机科学 2024-11-05 Tigran Ramazyan , Mikhail Hushchyn , Denis Derkach

We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…